Geo-meter graph reader learning system

The Geo-Meter Graph Reader Learning System comprises a set of physical tools and methods of usage and instruction that aid in the construction and interpretation of graphs, lines, arcs, circles and angles. The physical aspect of the system consists of three components. A first component encompasses customary and metric scales so that the system can be used with all standard graph paper. A second component may be used alone or with the first component when aligning a value on one axis with a value on another axis. A third component, used alone or with the first component, measures angles, constructs arcs and circles, and determines trigonometric values of angles. The Geo-Meter Graph Reader Learning System aids students in, a) constructing and interpreting coordinate, bar, line and circle graphs, b) expressing and determining linear relationships graphically, c) determination of increment size and value, and d) determining the slope and of lines.

Polygonal device for kinesthetic learners

A polygonal device for teaching students who prefer kinesthetic learning methods is presented in which the polygonal device can represent two-dimensional polygons of varying shapes and sizes. One or more of the sides, or legs, of the polygonal device are extendable, and the angles of the polygonal device may be manipulated to a desired angle. The devices presented include, but are not limited to, triangles, quadrilaterals, parallelograms, rectangles, squares, trapezoids, and kites. In each of these devices, the legs of the device are non-detachable, i.e. the device does not come apart during normal manipulation and operation.

Computer systems for capturing student performance

A method of capturing student performance can be provided that includes enabling a course creator to generate assessment data related to learning assessments for an online course and to generate learning outcomes for the online course, associating the assessment data with the learning outcomes, such that at least some of the learning assessments correspond to at least some of the learning outcomes, and generating an online classroom. The method may further include providing the learning assessments to students enrolled in the online course using the online classroom, wherein the students can generate completed learning assessments, and determining, for each of the completed learning assessments, whether one or more of the learning outcomes were met by each of the students.

Educational ruler

An educational ruler is a protractor, where the protractor can draw and measure angles. The educational ruler includes a planar disk having a semicircular circumference and labeled in scales along the semicircular circumference; a straight line edge connecting two edges of the semicircular circumference; a through hole on the planar disk; a first edge and a second edge extending from the through hole to the straight line edge; a third edge and a fourth edge extending from the semicircular circumference to the straight line edge. The first edge of the through hole of the educational ruler and the second edge of the through hole of the educational ruler intersect at 90 degrees scale of the planar disk to form the first right angle, and the included angle of the first edge of the through hole of the educational ruler and the straight line edge of the educational ruler is 45 degrees.

CONVEX EQUILATERAL POLYHEDRA WITH POLYHEDRAL SYMMETRY

A new class of polyhedron is constructed by decorating each of the triangular facets of an icosahedron with the T vertices and connecting edges of a “Goldberg triangle.” A unique set of internal angles in each planar face of each new polyhedron is then obtained, for example by solving a system of n equations and n variables, where the equations set the dihedral angle discrepancy about different types of edge to zero, where the independent variables are a subset of the internal angles in 6 gons. Alternatively, an iterative method that solves for angles within each hexagonal ring may be solved for that nulls dihedral angle discrepancy throughout the polyhedron. The 6 gon faces in the resulting “Goldberg polyhedra” are equilateral and planar, but not equiangular, and nearly spherical.

Set of Geometrical Objects and Method to Explain Algebraic Equations

A set of geometrical objects comprising square prism ( 420 ); square prism ( 460 ); rectangle prism ( 465 ); three square prisms ( 530 ); cube ( 440 ), cube ( 550 ), cube and ( 590 ); rectangle prism ( 490 ); two rectangle prisms ( 470 ); rectangle prism ( 475 ); two rectangle prisms ( 500 ); two rectangle prisms ( 510 ); and four rectangle prisms ( 600 ) and a method for explaining algebraic equations (a+b) 2 =a 2 +2ab+b 2 ; (a−b) 2 =a 2 −2ab+b 2 ; (a+b+c) 2 =a 2 +b 2 +c 2 +2ab+2bc+2ca; (a+b) 3 =a 3 +b 3 +3a 2 b+3ab 2 ; (a+b)×(a−b)=a 2 −b 2 ; and (x+y) 2 −(x−y) 2 =4xy.

Tension Compression Structural Unit and Method of Assembling the Same

A tension compression structural unit and method of assembling structures that comprises endwise interlapping configuration of at least three elongate members into a tension compression structural unit whereby tensegrity is maintained by tensioning a first end of each elongate member against respective first ends of each other elongate member, in interlapped array, and then anchoring each second end of each elongate member—either onto a ground surface or by interlapped configuration with additional elongate members. A stable, domic structure is thus erectable without the need of additional tensioning elements such as wires or cables, for example. 2. The tension compression structural unit of wherein the plurality of elongate members demark a primary attractor polygon delimited between the interlapped ends claim 1 , whereby a completed polyhedral structure creatable by additional structural units interlapped together is dependent on claim 1 , and identifiable by claim 1 , the primary attractor polygon.3. The tension compression structural unit of wherein a plurality of said structural units creates a polyhedron.4. The tension compression structural unit of wherein at least one additional attractor polygon is formable in geometric relationship to the primary attractor polygon of each structural unit claim 3 , whereby additional species of polyhedrons are creatable by interlapped elongate members disposed bounding at least two species of attractor polygons claim 3 , said two species of attractor polygons having a different number of sides. Structures creatable by tensile-integrity structures were first contemplated by R. B. Fuller in the 1950s and 1960s (see for example U.S. Pat. No. 3,063,521). Fuller teaches “tensegrity” structures additional together into an overarching generally spherical or domic array. Tension is maintained throughout his structure by use of “tension elements” including, for example, “wires or cables”.Likewise, means of devising three-dimensional ...

METHOD OF AND SYSTEM FOR FACILITATING STRUCTURED BLOCK PLAY IN A VIRTUAL REALITY ENVIRONMENT

A system and a method for facilitating structured block play in a VR environment that includes a set of computer-generated images providing a spatial representation of a predefined arrangement of blocks for analysis by a user in a VR environment, and a set of intangible, computer-generated blocks configured to be positioned by the user into a replication of the predefined arrangement in the VR environment. 1. A system for facilitating structured block play in a VR environment , comprising:a set of computer-generated images providing a spatial representation of a predefined arrangement of blocks for analysis by a user in a VR environment; anda set of intangible, computer-generated blocks configured to be positioned by the user into a replication of the predefined arrangement in the VR environment.2. The system of claim 1 , further comprising a VR headset adapted for use by a user claim 1 , wherein the set of images is adapted for display on the VR headset.3. The system of claim 1 , further comprising a VR interface device claim 1 , wherein the set of blocks is configured to be positioned by the user using the VR interface device.4. The system of claim 3 , wherein the set of blocks is configured to be positioned with the user's hand(s).5. The system of claim 3 , wherein the VR interface device is a haptic VR interface device.6. The system of claim 1 , further comprising an indicator claim 1 , actuation of the indicator producing a signal indicating the user's completion of the replication.7. The system of claim 6 , wherein the indicator is computer-generated and actuable by the user in the VR environment.8. The system of claim 7 , wherein in the VR environment the indicator represents a bell.9. The system of claim 6 , wherein actuation of the indicator causes production of an audible signal.10. The system of claim 6 , wherein actuation of the indicator causes production of a visual signal.11. The system of claim 1 , wherein at least one image of the set of images is ...

Shape-Matrix Geometric Instrument

Shape-matrix geometric instruments having numerous applications including, but not limited to, anti-counterfeiting, graphical passwording, games, and geometry education. A shape-matrix geometric instrument is a manufacture and/or a method whose design is based on a shape-matrix that, in turn comprises a set of building blocks that are N-dimensional polytopes. Corner shapes are positioned in or near the interior corner spaces of at least ones of the shape-matrix building blocks. At least ones of the corner shapes differ from others in at least one property or aspect including, for example, geometric shape, orientation within the building block, and one or more surface “finishes,” such as color, shading, cross-hatching or real or apparent texture. 1. A system of physical objects , wherein each particular physical object in the system includes a particular two-dimensional physical pattern , which particular pattern:(a) is different from any two-dimensional physical pattern that is included in any other physical object in the system; and(b) includes multiple two-dimensional portions, each two-dimensional portion having an outline that matches, in geometric shape, an outline of a component of a shape-matrix, which shape-matrix comprises a set of three-dimensional building blocks, each particular building block in the set including three-dimensional corner shapes, which corner shapes are located in respective three-dimensional corner spaces of the particular block in such a way that each corner shape in the particular block (i) touches a vertex of the particular block and (ii) fills a three-dimensional volume that is in the interior of the particular block.2. The system of claim 1 , wherein the particular physical pattern uniquely identifies the particular physical object.3. The system of claim 1 , wherein the particular two-dimensional physical pattern is a pattern of solid matter of the particular physical object.4. The system of claim 1 , wherein the corner shapes ...

MOBIUS ZIPPER INTERACTIVE TEACHING AND LEARNING DEVICE

A mobius zipper learning model is described. 1. A mobius zipper learning model comprising:a first arcuate section having a first end and a second end;a second arcuate section having a first end and a second end;a first zipper side having a first end and a second end, wherein the first end of the first zipper side is attached to the first end of the first arcuate section;a second zipper side having a first end and a second end, wherein the first end of the second zipper side is attached to the first end of the second arcuate section;a first portion of a first fastener, wherein the first portion of the first fastener is disposed on the second end of the first zipper side;a first portion of a second fastener, wherein the first portion of the second fastener is disposed on the second end of the second zipper side;a second portion of a first fastener, wherein the second portion of the first fastener is disposed on the second end of the first arcuate section;a second portion of a second fastener, wherein the second portion of the second fastener is disposed on the second end of the second arcuate section; anda zipper slider configured to zip and unzip the first zipper side and the second zipper side.2. The mobius zipper learning model of claim 1 , wherein the first fastener and the second fastener are hook and eyelet fasteners claim 1 , wherein the first portion of the first fastener and the first portion of the second fastener each include an eyelet claim 1 , and wherein the second portion of the first fastener and the second portion of the second fastener each include a hook.3. The mobius zipper learning model of claim 1 , wherein the first fastener and the second fastener are snap fasteners claim 1 , wherein the first portion of the first fastener and the first portion of the second fastener each include a stud claim 1 , and wherein the second portion of the first fastener and the second portion of the second fastener each include a socket.4. The mobius zipper learning ...

METHOD, APPARATUS, ELECTRONIC DEVICE, AND STORAGE MEDIUM FOR DISPLAYING 3D SHAPE IN EXPANDED MANNER

Provided are a method, an apparatus, an electronic device, and a storage medium for displaying an expansion of a 3D shape, including: determining a 3D shape to be expanded, and acquiring a target expanded state of the 3D shape; searching a preset multi-level information relationship table for an articulation relationship set corresponding to the target expanded state; determining, according to the articulation relationship set and a preset expansion rule library, a target expansion rule for each target plane surface on the 3D shape; and controlling to expand each target plane surface at a predetermined a rate based on the each target expansion rule, and displaying the expansion process in real time. The method dynamically displays an expansion process of a 3D shape to a student, such that the student can understands more about the process of transformation from a 3D shape to a selected expanded state, thereby improving user experience of a teaching demonstration function on an electronic device. 1. A method for displaying an expansion of a three-demonstrational (3D) shape , comprising:determining a 3D shape to be expanded, and acquiring a target expanded state of the 3D shape;searching a preset multi-level information relationship table for an articulation relationship set corresponding to the target expanded state;determining, according to the articulation relationship set and a preset expansion rule library, a target expansion rule for each target plane surface on the 3D shape; andcontrolling to expand the each target plane surface at a predetermined rate based on the each target expansion rule, and displaying the expansion process in real time.2. The method of claim 1 , wherein the determining an expansion of the 3D shape claim 1 , and acquiring the target expanded state of the 3D shape comprises:determining the 3D shape to be expanded as one selected by a user from a current interface;analyzing a geometric form of the 3D shape, and determining, according to the ...

Mathematics Teaching Aid and System for Slope

A slope measurement and drawing aid () for teaching mathematics having unique indicia (), rational-numeric slope values (), and mathematical information (), and a method of identifying the correct rational-numeric slope value associated with the graph of a given line, either by means of a gravity-activated indicator arm (), or by means of the orientation of the teaching aid. For instructional purposes, when used in a classroom setting, the teaching aid can be removably held on a vertical board by magnetic (R) or other means. When used in an individual setting, a smaller version of the teaching aid can similarly be used in a horizontal orientation on paper. 1. A mathematics teaching aid and system comprising:a generally flat and planar base, said planar base having a front side and a back side with at least one straight edge;at least one pivot point reference mark substantially on said straight edge; anda plurality of rational-numeric slope values and corresponding indicia visibly displayed in predetermined positions equidistant from said pivot point reference mark on said planar base, each of said rational-numeric slope values and corresponding indicia disposed in predetermined positions corresponding to said predetermined rational-numeric slope values with respect to said straight edge.2. The mathematics teaching aid and system of further comprising mathematical information related to the understanding of slope or use of said mathematics teaching aid and system visibly displayed on said planar base.3. The mathematics teaching aid and system of wherein said mathematical information comprises claim 2 , but is not limited to claim 2 , the symbol for infinity claim 2 , any shorthand definitions for slope claim 2 , any precise mathematical definition of slope claim 2 , any positive or negative signs located to reinforce the concept of slope.4. The mathematics teaching aid and system of wherein said planar base is made of suitable transparent material.5. The mathematics ...

Three-dimensional mixed-reality viewport

An application running on a computing platform that employs three-dimensional (3D) modeling is extended using a virtual viewport into which 3D holograms are rendered by a mixed-reality head mounted display (HMD) device. The HMD device user can position the viewport to be rendered next to a real world 2D monitor and use it as a natural extension of the 3D modeling application. For example, the user can interact with modeled objects in mixed-reality and move objects between the monitor and the viewport. The 3D modeling application and HMD device are configured to exchange scene data for modeled objects (such as geometry, lighting, rotation, scale) and user interface parameters (such as mouse and keyboard inputs). The HMD device implements head tracking to determine where the user is looking so that user inputs are appropriately directed to the monitor or viewport.

Reflection teaching aid

A reflection teaching aid includes a mounting board and first and second plane mirrors. The mounting board has a plurality of slots that are angularly displaced from each other. When inserting edges of the first and second plane mirrors are inserted respectively into two selected ones of the slots, and when an object is disposed between reflective surfaces of the first and second plane mirrors, a selected one of included angles is formed between the reflective surfaces of the first and second plane mirrors, thereby permitting an object placed between the reflective surfaces of the first and second plane mirrors to generate a corresponding number of reflected images of the object.

CREATIVE FIGURE BOARD GAME LEARNING-BY-PLAYING TOOL, SYSTEM, AND METHOD

A creative figure board game play and learning kit according to an exemplary embodiment of the present invention includes: a board game plate on which a plurality of unit figures having predetermined shapes is disposed at predetermined intervals to define a main set of figures; and shape piece blocks which are disposed on the board game plate by being rotated, moved, symmetric, and reversed along an outer circumferential portion of at least one of the unit figures, and connected to one another to define a sub-set of figures that divides a part of the main set of figures, in which the shape piece blocks have a single transformable shape piece block which is transformable to correspond to shapes of the remaining shape piece blocks. 1. A creative figure board game play and learning kit comprising:a board game plate on which a plurality of unit figures having predetermined shapes is disposed at predetermined intervals to define a main set of figures; andshape piece blocks which are disposed on the board game plate by being rotated, moved, symmetric, and reversed along an outer circumferential portion of at least one of the unit figures, and connected to one another to define a sub-set of figures that divides a part of the main set of figures,wherein the shape piece blocks have a single transformable shape piece block which is transformable to correspond to shapes of the remaining shape piece blocks.2. The creative figure board game play and learning kit of claim 1 , wherein:the plurality of shape piece blocks is provided in accordance with the number of cases made by linear portions having the number for defining the unit figure.3. The creative figure board game play and learning kit of claim 2 , comprising:shape piece block cards which include non-transformable shape piece block cards on which shapes corresponding to shapes of the shape piece blocks are marked, and a joker card that indicates the transformable shape piece block in accordance with the shape piece block; ...

Geometric Pattern Splicing Device

The present invention relates to the field of assisting teaching technology, and in particular, to a geometric pattern splicing device, which comprises m sets of splicing units, wherein each set of splicing units contains n types of splicing plates, and the splicing plate is made of a pasteable material or a magnetic structure for pasting or adsorbing the splicing plate on a carrier; the splicing plate is an isosceles triangle, the same set of splicing plates are similar triangles, the apex angles of the splicing plates are unequal in any two sets, and the bottom lengths of the ath type of splicing plates are equal; in the same set of splicing units, when the apex angle of the splicing plate is equal to 60°.

FIGURE PLATE SET

The present invention provides a figure plate set for learning that comprises a first triangular plate () having an angle of 45°, an angle of 45°, and an angle of 90° and a second triangular plate () having an angle of 30°, an angle of 60°, and an angle of 90°. A length of one of two orthogonal sides () of the first triangular plate () is same as a length of one of two orthogonal sides () of the second triangular plate. A new triangular shape can be formed by combining the first triangular plate () and the second triangular plate ().

Systems and Methods for Lynchpin Structure Applications

A Lynchpin structure may be combined with one or more additional Lynchpin structures to form a compound Lynchpin propulsion structure. Each Lynchpin structure may include six pentangular areas, and one or more of the pentangular areas may include a propulsion device. The propulsion may be used to propel the compound Lynchpin propulsion structure through or over various media, such as through air, across ground, on or underwater, or through or over other media. The propulsion may include avionic propulsion, ground propulsion, hydrodynamic propulsion, or other types of propulsion. A single type of propulsion device may be used within one or more of the pentangular areas, or diverse types of propulsion may be used to provide various navigational performance or multi-mode operation. Each propulsion device may also include a device to direct the propulsion, such as a single or multi-axis gimble or adjustable aerodynamic control surface. 1. A pentangular structure vehicle comprising:a first six-sided 3-D geometric structure including a first propulsion device; anda second six-sided 3-D geometric structure including a second propulsion device, the second six-sided 3-D geometric structure fixedly attached to the first six-sided 3-D geometric structure;wherein each six-sided 3-D geometric structure includes six substantially pentangular planar surfaces joined at a common vertex at the center of each six-sided 3-D geometric structure, each substantially pentangular planar surface joined along two adjacent edges to four adjacent substantially pentangular planar surfaces.2. The pentangular structure vehicle of claim 1 , wherein:the first propulsion device is supported within a first pentangular planar surface on the first six-sided 3-D geometric structure; andthe second propulsion device is supported within a second pentangular planar surface on the second six-sided 3-D geometric structure.3. The pentangular structure vehicle of claim 2 , wherein the first propulsion device and ...

FIGURE PLATE SET

The present invention provides a figure plate set () for learning that comprises a first triangular plate () that has an isosceles triangular shape having an apex angle of 108° and base angles of 36°; and a second triangular plate () that has an isosceles triangular shape having an apex angle of 36° and base angles of 72°, wherein a length of isosceles sides () of the first triangular plate () is same as a length of isosceles sides () or a bottom side () of the second triangular plate (), and a new triangular shape can be formed by combining the first triangular plate () and the second triangular plate (). 1. A figure plate set for learning , comprising:a first triangular plate that has an isosceles triangular shape having an apex angle of 108° and base angles of 36°; anda second triangular plate that has an isosceles triangular shape having an apex angle of 36° and base angles of 72°, whereina length of isosceles sides of the first triangular plate is same as a length of isosceles sides or a bottom side of the second triangular plate,a new triangular shape can be formed by combining the first triangular plate and the second triangular plate, andan indicator indicating a similar triangle or another indicator of a regular pentagon is indicated on at least one of the first triangular plate and the second triangular plate.2. A figure plate set for learning , comprising:a first triangular plate that has an isosceles triangular shape having an apex angle of 108° and base angles of 36°; anda second triangular plate that has an isosceles triangular shape having an apex angle of 36° and base angles of 72°, whereina length of isosceles sides of the first triangular plate is same as a length of isosceles sides or a bottom side of the second triangular plate,a new triangular shape can be formed by combining the first triangular plate and the second triangular plate,a plate member having a circular concave portion and a group of triangular plates including the first triangular ...

Shape-Matrix Geometric Instrument

Shape-matrix geometric instruments having numerous applications including, but not limited to, anti-counterfeiting, graphical passwording, games, and geometry education. A shape-matrix geometric instrument is a manufacture and/or a method whose design is based on a shape-matrix that, in turn comprises a set of building blocks that are N-dimensional polytopes. Corner shapes are positioned in or near the interior corner spaces of at least ones of the shape-matrix building blocks. At least ones of the corner shapes differ from others in at least one property or aspect including, for example, geometric shape, orientation within the building block, and one or more surface “finishes,” such as color, shading, cross-hatching or real or apparent texture. 2. The method of claim 1 , wherein the portion of the shape-matrix is a shape nugget.3. The method of wherein claim 1 , for each particular arrangement in the set of arrangements claim 1 , the particular shape nugget is a password or identification code.4. The method of claim 1 , wherein the set of blocks is tessellated.5. The method of wherein claim 1 , for each particular block in the set of blocks claim 1 , a corner shape in the particular block includes a surface that is in the interior of the particular block and that is visible from outside the particular block.6. The method of wherein claim 1 , for each particular arrangement in the set of arrangements claim 1 , each corner shape in the particular shape nugget differs in color claim 1 , orientation claim 1 , or geometric shape from at least one other corner shape in the particular shape nugget.7. The method of wherein claim 1 , for each particular arrangement in the set of arrangements claim 1 , the particular shape nugget differs claim 1 , from the shape nuggets in the other arrangements claim 1 , in one or more of the following respects: color of constituent corner shapes claim 1 , geometric shape of constituent corner shapes claim 1 , and orientation of constituent ...

EDUCATIONAL SYSTEM, METHOD, AND APPARATUS

An educational apparatus is disclosed. The educational apparatus has one or more first sheet members including a first side and a second side, the first side and the second side each having first markings indicating the same first surface area, and one or more first attachment portions disposed along some or substantially all of a perimeter of the one or more first sheet members. The educational apparatus also has one or more second sheet members including a first side and a second side, the first side and the second side each having second markings indicating the same second surface area, and one or more second attachment portions disposed along some or substantially all of a perimeter of the one or more second sheet members. 1. An educational apparatus , comprising:one or more first sheet members including a first side and a second side, the first side and the second side each having first markings indicating the same first surface area, and one or more first attachment portions disposed along some or substantially all of a perimeter of the one or more first sheet members; andone or more second sheet members including a first side and a second side, the first side and the second side each having second markings indicating the same second surface area, and one or more second attachment portions disposed along some or substantially all of a perimeter of the one or more second sheet members;wherein the one or more first sheet members and the one or more second sheet members are configured to be removably attachable to each other in a first arrangement by the one or more first and second attachment portions of the one or more first and second sheet members;wherein the one or more first sheet members and the one or more second sheet members are configured to be removably attachable to each other in a second arrangement, which is different from the first arrangement, by the one or more first and second attachment portions of the one or more first and second sheet ...

SYSTEMS AND METHODS FOR COLLAPSIBLE STRUCTURE APPLICATIONS

Collapsible structures may be formed from planar solids. The structures may be comprised of multiple planar objects hingedly connected, where each planar object may include magnetic materials (e.g., magnets, ferromagnetic metals) or electromagnetic materials. Using the magnetic or electromagnetic materials, the connected planar objects may be arranged as a single planar object with multiple layers, or may be arranged as a three-dimensional (3-D) object, where the magnetic or electromagnetic materials may be used to retain the formed 3-D object shape. Application of a current to the electromagnetic materials may cause the collapsible structure to form the 3-D object, and removal of the electric current may cause the collapsible structure to revert to a single planar object. Multiple structures may be combined to form larger structures. 1. A building block comprising: a first flange on a first block is attached to a second flange on a second block;', 'a third flange on the second block is attached to a fourth flange on a third block;', 'a fifth flange on the third block is attached to a sixth flange on a fourth block;', 'a seventh flange on the third block is attached to an eighth flange on the first block; and', 'the four connected tetrahedral blocks are arranged to form a vertex cluster, the vertex cluster including a first vertex on the first block collocated with a second vertex on the second block, with a third vertex on the third block, and with a fourth vertex on the fourth block., 'a first group of four tetrahedral blocks, each tetrahedral block including four vertices, six edges, and an arcuate hinged flange disposed on each of the six edges, wherein2. The building block of claim 1 , further comprising:a second group of four tetrahedral blocks that is identical to the first group of tetrahedral blocks, wherein the first and second groups are coupled to each other via multiple distal flange groups arranged opposite from respective vertex clusters.3. The ...

COMPRESSED EDGE MAP REPRESENTATION FOR IMAGE AIDED NAVIGATION

A method of generating a map for image aided navigation comprises detecting one or more edges in one or more terrain images, and obtaining a compressed edge representation of the one or more edges. The compressed edge representation is obtained by a method comprising fitting a geometric form or other mathematical model to the one or more edges, calculating one or more coefficients based on the fitted geometric form or other mathematical model, and storing the one or more coefficients in a database for use in generating the map for image aided navigation. 1. A method of generating a map for image aided navigation , the method comprising:detecting one or more edges in one or more terrain images; and fitting a geometric form or other mathematical model to the one or more edges;', 'calculating one or more coefficients based on the fitted geometric form or other mathematical model; and', 'storing the one or more coefficients in a database for use in generating the map for image aided navigation., 'obtaining a compressed edge representation of the one or more edges, the compressed edge representation obtained by a method comprising2. The method of claim 1 , wherein the one or more edges in the terrain image are detected with a Canny edge detector.3. The method of claim 1 , wherein fitting the geometric form or other mathematical model to the one or more edges comprises fitting one or more line segments to the one or more edges.4. The method of claim 3 , wherein fitting the one or more line segments to the one or more edges comprises:dividing the one or more terrain images into multiple pixel blocks of a uniform size; andfitting the one or more line segments to edge pixels inside of each pixel block.5. The method of claim 4 , wherein fitting the one or more line segments to the edge pixels inside of each pixel block is carried out using a routine comprising a least-squares fit technique or a singular value decomposition.6. The method of claim 4 , wherein calculating the ...

FIGURE PLATE SET

The present invention provides a figure plate set () for learning that comprises a plate member () having a concave portion (); and groups of figure plates () that can form a regular polygon by being combined together, wherein the group of figure plates () can be stored on concave portion () in a state that the regular polygon is formed and the regular polygon is inscribed in an inner peripheral wall () of the concave portion (). From the above, the user can experientially understand the regular polygon through the work of combining the figure plates. Thus, ability of geometric thinking about regular polygon is increased. In addition, since the plate member () has the concave portion (), the group of figure plates () can be positioned. Thus, the figure plates () can be combined easily. 1. A figure plate set for learning , comprising:a plate member having a circular concave portion; anda group of figure plates that can form a regular polygon by being combined together, whereinthe group of figure plates can be stored on the circular concave portion in a state that the regular polygon is formed and the regular polygon is inscribed in an inner peripheral wall of the circular concave portion.2. The figure plate set according to claim 1 , whereina plurality of groups of figure plates is provided, andthe plurality of groups of figure plates can be stored in a stacked state on the circular concave portion.3. The figure plate set according to claim 1 , whereina point of contact of apexes of the group of figure plates is located at a center of the circular concave portion when the regular polygon is formed on the circular concave portion by combining the group of figure plates.4. The figure plate set according to claim 1 , whereinthe group of figure plates can form a regular dodecagon, andapexes of regular tetragonal figure plates and apexes of regular triangular figure plates are located at positions of apexes of the regular dodecagon formed by the group of figure plates.5. ...

Mathematics and geometry device for visually impaired

The present invention relates to a mathematics and geometry device for visually impaired ( 1 ) comprising retractable push-buttons ( 2 ) at least one button body ( 4 ) which enable the push-button to be placed on the socket ( 3 ) and making a linear movement towards the inside-outside of the device when the push-buttons are pressed; and at least one lock system which is located on the button body and which enables the button body to be locked in upper and lower positions; when the button body is locked in the upper position, the push-button becomes an open button; when the button body is locked in the lower position, the push-button becomes a closed button.

TRIGONOMETRIC DISPLAY AND METHOD THEREOF

A trigonometric function display clock includes a clock face that has a center aligned with a central axis, axial markings aligned with an x-axis and a y-axis, and a secondary circle having a diameter equal to a radius of the axial markings. A first point on the secondary circle is aligned at the center of the central axis, and the secondary circle is configured to be rotatable about the first point. The secondary circle is configured to overlap and align with at least a portion of the axial markings as the secondary circle rotates about the first point. 1. A trigonometric function display clock method , the method comprising:executing a clock application on a processor, wherein the clock application is stored in a memory,generating, by the clock application, a clock display having at least one hand indicator, wherein the at least one hand indicator rotates about a central axis;generating, by the clock application, at least one of a cosine indicator or a sine indicator on the clock display, wherein the at least one of the cosine indicator or the sine indicator is indicative of a value of a cosine or sine, respectively, of a position of the at least one hand indicator as the at least one hand indicator rotates about the central axis.2. The method of claim 1 , further comprising:generating and displaying a unit circle indicator on the clock display, wherein a center of the unit circle indicator is aligned with the central axis.3. The method of claim 1 , further comprising;generating and displaying, by the clock application, axial markings aligned with an x-axis and a y-axis.4. The method of claim 1 , further comprising:generating and displaying, by the clock application, a secondary circle having a diameter equal to a radius of the unit circle, wherein a first point on the secondary circle is aligned at the center of the unit circle, wherein the secondary circle is configured to be rotatable about the first point, and wherein the secondary circle is configured to ...

TWELVE-PIECE TANGRAM PUZZLE SET

A twelve-piece tangram puzzle set is disclosed. The twelve-piece tangram puzzle set includes twelve pieces, the twelve pieces being formed in such a manner that an equilateral triangle is formed as a basic frame and is bisected into right-angled triangles by a first cutting line, second cutting lines, horizontal cutting lines and vertical cutting lines, and equiangular cutting lines so as to be divided into respective figures , such that triangles (figures ) are symmetrical to triangles (figures ), and a trapezoidal quadrangle (figure ) is symmetrical to a trapezoidal quadrangle (figure ) based on the first cutting line. 1. A twelve-piece tangram puzzle set , comprising:{'figref': [{'@idref': 'DRAWINGS', 'figures 1, 3, 7, 9, 11'}, {'@idref': 'DRAWINGS', 'figures 2, 4, 8, 10, 12'}], 'twelve pieces composed of a first set of five triangles (), a first trapezoidal quadrangle, a second set of five triangles (), and a second trapezoidal quadrangle and arranged to be symmetrical to each other or joined in various other ways;'}wherein the twelve pieces are formed in such a manner that: an equilateral triangle having a predetermined size is bisected into right-angled triangles by a first cutting line that divides both sides as equal parts at an equal angle of 30° based on any one of vertices of the equilateral triangle, and vertically cuts the equilateral triangle up to a point of a side corresponding to a vertex (A), thereby obtaining the right-angled triangles;each of the right-angled triangles is divided in a following order:being first divided by a second cutting line at a right angle with respect to a hypotenuse of each of the right-angled triangles based on a point bisecting the hypotenuse;being then divided by a horizontal cutting line so as to be cut horizontally in an inward direction of each of the right-angled triangles based on the point of the second cutting line;being then divided by a vertical cutting line so as to be cut vertically in the inward direction of ...

Bead-on-Tile Apparatus and Methods

Apparatus and methods based on applied cognitive science, where children play the lead role in storylines staged upon a rule-enforcing apparatus and by so doing, become self-enlightened about denumerability, rank-wise denumerability, addition, subtraction, multiplication, division, and other change-of-state processes encountered in mathematics and the quantifiable sciences. 120-. (canceled)21. An apparatus for providing instruction , comprising:at least one instruction site defining an instruction board;at least one instruction piece configured to be received on the instruction site;wherein a user manipulates the at least one instruction piece to perform a change of state operation relating to the instruction.22. The apparatus of claim 21 , wherein each instruction site has at least one predetermined location for receiving the at least one instruction piece.23. The apparatus of claim 22 , wherein each instruction site has at least one recess formed thereon that defines the at least one predetermined location.24. The apparatus of claim 21 , wherein the at least one instruction piece is edible.25. The apparatus of claim 21 , wherein the change of state operation relates to at least one of mathematics and quantifiable sciences.26. The apparatus of claim 21 , wherein each instruction site has an edge and wherein edges of adjacent instruction sites adjoin to form the instruction board.27. The apparatus of claim 26 , wherein each instruction site is a tile and wherein a plurality of the instruction sites are adjoined to define a tessellation.28. The apparatus of claim 21 , wherein each instruction site is a tile having at least one edge and each tile has at least one recess thereon for receiving the at least one instruction piece claim 21 , and wherein the at least one instruction piece is manipulated into the recess on the tile to perform the change of state operation.29. The apparatus of claim 28 , wherein the edge of a first tile adjoins the edge of a second tile to ...

CONNECT-THE-NODES

Techniques for teaching geometric proof problems are described. According to one approach, the geometric proof application displays a geometric proof problem and a set of connectable nodes in an initial arrangement. A user then rearranges the set of connectable nodes and connects them using one-way connections to generate a solution. The geometric proof problem is solved if the user-generated solution indicates the correct logical ordering of the set of connectable nodes as determined by the geometric proof application. 1. A computer-implemented method comprising:a geometric proof application, executing on a computing device, displaying a set of connectable nodes arranged in an initial display arrangement;wherein the initial display arrangement is determined by the geometric proof application;wherein, within the initial display arrangement, the geometric proof application indicates a statement for each connectable node in the set of connectable nodes; a given in a set of givens for a geometric proof problem;', 'an intermediate step of the geometric proof problem; or', 'a conclusion step of the geometric proof problem;, 'wherein the statement of each connectable node in the set of connectable nodes indicates at least one ofwherein the initial display arrangement does not match a correct arrangement for the geometric proof problem; a new arrangement of the connectable nodes; and', 'one-way connections between the connectable nodes; and, 'the geometric proof application providing a mechanism that enables a user to specifythe geometric proof application determining whether the new arrangement, including the one-way connections specified by the user, matches the correct arrangement for the geometric proof problem.2. The computer-implemented method of claim 1 , wherein the geometric proof problem comprises the set of givens claim 1 , a final proof statement claim 1 , and a set of instructions.3. The computer-implemented method of claim 2 , wherein the geometric proof ...

PEDAGOGICAL SYSTEM

An entertaining ball-rolling table game that generates the desire to understand and use the physics, dynamics and geometry incorporated in the game is provided. The game may include a game table providing a sloped table surface forming two vortical holes. The game is played by rolling one ball bearing at a time along the table surface with the purpose of rolling the ball bearing into a predetermined vortical hole. At the beginning of a player's experience with the game, it will seem extremely difficult to aim the ball with enough precision to guarantee that the ball will fall into one hole rather than the other. The precision and subtlety of the surface of the game table and its interface with the ball bearing makes it uniquely hard to understand, but uniquely challenging, and thus uniquely gratifying to master, and so generate the desire to problem solve and understand the STEM knowledge at play. Further, the system that embodies the game may provide further analysis and knowledge-building by representing physical parameters from previous rolls for the participants to observe and apply to future rolls. 1. An educational device comprising:a generally elliptical surface forming two vortical holes, wherein each vortical hole is disposed along a center of the elliptical surface;an inward slope formed along the elliptical surface so that the elliptical surface subtly slopes toward its center; andat least one ball bearing of sufficient weight, such that when the ball bearing rolls on the elliptical surface, a rolling trajectory of the at least one ball bearing is problematic to predict.2. The educational device of claim 1 , wherein each vortical hole is disposed along a major axis between the center and each focal point of the elliptical surface.3. The educational device of claim 1 , wherein the elliptical surface is made of an interface sensitive medium claim 1 , such that the interface surface medium makes the rolling trajectory problematic to predict.4. The ...

POLYGON PUZZLE AND RELATED METHODS

A puzzle, comprising at least one set of a plurality puzzle pieces, each of the puzzle pieces within the at least one set having a geometric shape with the same number of sides; and the set of pieces being adapted to fit together to form an equilateral or non-equilateral geometric shape having the same number of sides as each component puzzle piece, and a method of assembling a puzzle. 1. A puzzle , comprising:at least one set of a plurality puzzle pieces, each of the puzzle pieces within the at least one set having a geometric shape with the same number of sides; andsaid set of pieces being adapted to fit together to form a geometric shape having the same number of sides as each component puzzle piece, wherein the plurality of puzzle pieces have at least five sides.2. The puzzle of claim 1 , wherein the geometric shape is selected from the group comprising pentagon claim 1 , hexagon claim 1 , heptagon claim 1 , octagon claim 1 , nonagon claim 1 , decagon or a polygon with at least five sides.3. The puzzle of claim 1 , wherein the puzzle pieces feature puzzle piece shapes claim 1 , wherein the puzzle piece shape is not identical to the geometric shape.4. The puzzle of claim 1 , wherein the geometric shape is an equilateral geometric shape.5. The puzzle of claim 1 , wherein the geometric shape is a non-equilateral geometric shape.6. A method of assembling a puzzle comprising:providing at least one set of a plurality puzzle pieces, each of the puzzle pieces within the at least one set having a geometric shape with the same number of sides, andfitting the plurality of puzzle pieces together to form a geometric shape having the same number of sides as each component puzzle piece, wherein the plurality of puzzle pieces have at least five sides.7. The method of claim 6 , wherein the geometric shape is selected from the group comprising pentagon claim 6 , hexagon claim 6 , heptagon claim 6 , octagon claim 6 , nonagon claim 6 , decagon or a polygon with at least five sides. ...

System and method for dynamic geometry suggestion tool

A system or method may include a processor and a graphical user interface to receive input relating to one or more shape objects. The processor may generate a shape object based on the received input. The processor may further calculate one or more relationships between the generated shape object and at least one previously displayed shape object. The processor may determine whether the one or more calculated relationships match a defined geometrical dependency. If the processor determines that a match exists, an icon associated with the matched geometrical dependency may be displayed.

TEACHING DEVICE

A teaching device includes a base and a first set of equipment. The first set of equipment includes a first rod portion including a first spiraling rod portion installed in the base. A first encircled object is disposed on the base plate and is encircled by the first spiraling rod portion. Also included is a first rod slider. The first rod slider is slidably movable along the first rod portion and around the first encircled object. 1. A teaching device comprising:a base; a first rod portion, the first rod portion including a first spiraling rod portion installed in the base;', 'a first encircled object disposed on the base plate and encircled by the first spiraling rod portion;', 'a first rod slider,, 'a first set of equipment, the first set of equipment comprisingwherein the first rod slider is slidably movable along the first rod portion and around the first encircled object.4. The teaching device of claim 3 ,wherein the third rod portion is connected to the first rod portion, and the first rod slider is slidably movable and along the third rod portion through the substantially horizontal and vertical plates and along the first rod portion around the first encircled object.5. The teaching device of claim 1 , wherein the first set of equipment further comprises:a fourth rod portion;an in-out box disposed around a section of the fourth rod portion, the in-out box having first and second opposing openings, wherein the first rod slider or a fourth rod slider is slidably movable along the second rod portion and in and out of the in-out box through the first and second openings.6. The teaching device of claim 5 , wherein the first rod portion is connected to the fourth rod portion claim 5 , and the first rod slider is slidably movable along the first rod portion around the first encircled object and along the fourth rod portion in and out of the in-out box through the first and second openings.8. The teaching device of claim 7 , wherein the first set of equipment ...

Demonstration tools for geometric properties

A variety of tools for demonstrating the mathematical properties is disclosed. In one embodiment, a demonstrator uses the tools to illuminate geometric relationships between objects in two and three-dimensional space. The tools may be a stationary exhibit or collected into a portable kit. Whether portable or stationary, the tools provide an easy to use, multi-functional, and visually captivating vehicle for demonstration of geometric properties.

COMPUTING APPLIANCE FOR GEOMETRIC PLANMETRY

A computing appliance for geometric planimetry is provided, comprising a container, a vertical dividing rule, a horizontal dividing rule, a horizontal point line and a middle point line. A fluid is filled into the container, and the vertical dividing rule, the horizontal dividing rule, the horizontal point line and the middle point line are configured on a same instructing surface of the container and arranged on each of the periphery surrounding like a rectangle. When the container is vertically disposed, a fluid level is aligned with the horizontal point line. And, when the container is tilted to form at least one angle, an area of at least one geometric shape can be derived by employing the vertical dividing rule, the horizontal dividing rule, the horizontal point line and the middle point line. 1. A computing appliance for geometric planimetry , comprising:a container for containing a fluid inside;a vertical dividing rule disposed on an instructing surface of said container and comprising two scale lines which are in parallel with each other, wherein said two scale lines are individually disposed on a left side and a right side of said instructing surface;a horizontal dividing rule disposed on said instructing surface of said container and comprising another two scale lines which are in parallel with each other, wherein said another two scale lines are individually disposed on a top side and a bottom side of said instructing surface;a horizontal point line disposed on said instructing surface of said container, connected with two midpoints relatively on said left side and said right side of said instructing surface, and being in parallel with said horizontal dividing rule; anda middle point line disposed on said instructing surface of said container, located at a midpoint of said horizontal point line and being perpendicular to said horizontal point line;wherein when said fluid is filled into said container and said container is vertically disposed, a fluid ...

STUDENT AID ASSEMBLY

A student aid assembly includes a magnetic panel that has a front side, a rear side and a peripheral edge. A plastic coating is non-removably attached to and covers the front side of the panel. The plastic coating comprises a dry erase board for displaying an erasable writing material. The plastic coating has a plurality of indicia positioned thereon and includes a blank space is bounded by a perimeter line. The blank space defines a name area to allow a person to write a name therein. The indicia includes a plurality of reference areas to assist a student with answering a school question. 1. A student name identification assembly comprising:a magnetic panel having a front side, a rear side and a peripheral edge;a plastic coating being non-removably attached to and covering said front side of said panel, said plastic coating comprising a dry erase board configured to display an erasable writing material;said plastic coating having a plurality of indicia positioned thereon, said indicia including a blank space being bounded by a perimeter line, said blank space defining a name area configured to allow a person to write a name therein; andsaid indicia including a plurality of reference areas, said reference areas being configured to assist a student with answering a school question.2. The student name identification assembly according to claim 1 , wherein at least one of said reference areas being elongated and defining a ruler.3. The student name identification assembly according to claim 1 , wherein said reference areas including indicia being selected from the group including number indicia claim 1 , letter indicia claim 1 , color indicia and shape indicia.3. The student name identification assembly according to claim 2 , wherein said reference areas include number indicia claim 2 , letter indicia claim 2 , color indicia and shape indicia.4. A student name identification assembly comprising:a magnetic panel having a front side, a rear side and a peripheral edge;a ...

THREE DIMENSIONAL CUBE-LIKE MEMBER

A structure for providing accessibility to knowledge skills of load bearing includes several cubes. Each cube includes bores formed through each facet of the cube that are suitable for receiving pegs or link members, and each cube includes markings in order to assist in identification of the and/or an internal cube at a center of the cube. 1. A structure for providing accessibility to knowledge skills comprising at a plurality of cubes , each cube comprises at least one bore formed through each facet of the cube that is suitable for receiving pegs or link members , and at least one of the cubes comprises markings to assist in identification of at least portions of the cube in images acquired of the cube.2. The structure of claim 1 , wherein markings comprise coloring of facets of a cube claim 1 , possibly different facets with different colors.3. The structure of claim 2 , wherein pegs or link members are used for connecting between cubes.4. The structure of claim 3 , wherein at least one of the cubes serves as an orientation cube for defining a coordinate system of the structure.5. The structure of claim 4 , wherein axes of the coordinate system are defined by at least some of the facets of the cube claim 4 , possibly as axes perpendicular to such facets.6. The structure of claim 5 , wherein at least some of the facets defining the axes comprise markings.7. The structure of claim 1 , wherein at least some of the pegs or linking members are arranged to connect alphanumeric characters to at least some of the bores claim 1 , where possibly such pegs or linking members comprise an elastic member for assisting in manual coupling of the alphanumeric characters into bores of a cube.8. The structure of claim 1 , wherein each cube comprises twenty-six bores.9. The structure of claim 8 , wherein each given facet is associated with nine bores; wherein one bore being generally at a center of the given facet claim 8 , one at each corner of the given facet claim 8 , and one at a ...

Means for teaching mathematics and exhibiting mathematical problems

一种几何模型的动态平面展示装置

本发明公开了一种几何模型的动态平面展示装置，包括展示支架，两侧展示支架上均转动安装有旋转部，两侧旋转部之间连接有多个线条骨杆，线条骨杆包括多个首尾连接的伸缩骨节，相邻伸缩骨节之间通过阻尼自停部活动连接并在任意相对位置停止，阻尼自停部上均安装有用于连接相邻线条骨杆任一处而形成线条交点的磁吸部。通过多个线条骨杆的弯折和伸缩来快速构建几何模型中位于不同方位上的多种线条，并通过多个线条骨杆上的磁吸部之间进行相互吸合来形成几何模型中的线条交点，从而快速构建出多种所需的几何模型，且仅避免了几何模型在固定过程中结构受损的弊端。

Kit for building bodies assembled from partial bodies

Experimental method for parametrisation of complex geometry three-dimensional bodies

FIELD: manufacturing technology. SUBSTANCE: experimental method of parametrization of three-dimensional bodies of complex geometry refers to the branches connected with modeling of three-dimensional bodies with faces of complex geometry. Method includes the steps of manufacturing a network of elastic material and a spatial framework of flexible curvilinear elements forming a predetermined contour, fixing the frame to the base, pulling on the network skeleton from the elastic material, measuring the coordinates of the network nodes relative to the base. At the same time, a spatial framework is formed of twelve ribs representing the contour edges of a three-dimensional body with complex geometry. Three-dimensional net of elastic material is stretched onto the ribs of the frame in the form of a parametric cube with the assigned type of breakdown into cells in the form of parallelepipeds. Breakdown type is assigned either uniformly, or with a given pattern, each nodal contour point of the network being fixed to the corresponding points of the framework distributed along the length of the curved edges of the frame in accordance with the selected type of stakeout. Contour skeleton is fixed relative to the reference planes of the three bases and fixed to it by the network, the coordinates of the node points of the deformed network are measured in a three-dimensional coordinate system relative to the reference planes of the bases. Next, the radius vectors at the grid nodes are determined and the coordinate vectors and metric of node points of the deformed network of the simulated three-dimensional body are determined. EFFECT: increased efficiency of modeling a three-dimensional body of complex geometry, improved accuracy of describing bodies with curvilinear faces, and reduced complexity of calculating the components of the metric tensor of the nodes of the grid of a three-dimensional body. 4 cl, 4 tbl, 8 dwg РОССИЙСКАЯ ФЕДЕРАЦИЯ (19) RU (11) (13) 2 665 499 C1 (51) МПК G09B ...

Space rotary transformation device

本发明公开了一种空间旋转变换装置，包括同心的外球和内球，还包括外球支撑机构、内球支撑机构、外球手转动机构、外球自转动机构、内球姿态保持机构和内外球三维空间定位机构，所述外球手转动机构通过手轮带动外全向轮，完成外球绕固定坐标系的转动变换，所述外球自转动机构通过电机带动内全向轮，成外球绕外球随动坐标系的旋转变换，通过上述两种坐标变换来完成如等效转轴和等效转角等的计算。本发明可直观演示空间旋转坐标变换过程，并能够利用测量的数据与变换公式验证空间坐标变换的相关原理。

A kind of assemblied stereo geometric teaching instrument

本发明公开了一种组合式立体几何教学仪，涉及教学设备领域，主要解决学生学习三维图形不容易理解的问题，包箱体、承接板、电机及支撑板，所述箱体的顶部中间设置有出口，所述箱体的内部设置有承接板，承接板的左右两端与箱体的左右两壁内侧固定连接，承接板的顶部中间设置有固定连接的轴承，轴承与转动杆的下端转动连接，转动杆的上端与支撑板的底部固定连接，所述箱体的右壁内表面上方设置有铰接门，本发明能够通过液晶显示屏展示三维立体物品，方便学生理解，调节方便适合不同位置的学生，保护学生视力，同时还具有实物，提高学生的学习兴趣。

Quasi-hyperbola curvae scale of measurement

FIELD: measuring equipment. SUBSTANCE: invention relates to mechanics and can be used for conducting workshops in physics and mathematics in higher and secondary educational institutions for studying optical and projection problems of spatial geometry. Scale of measurement of curvature of quasi-hyperbola consists of housing in form of hollow parallelepiped, with transparent upper cover, in movable end walls there are vertically arranged one slot for flexible only in transverse direction of tape, in which there are fixators for end walls, and in lower cover is orthogonal to direction of plane of tape a bypass is flown. Visible divisions are made along quasi-hyperbole branch line, forming two continuous branches of the same scale with rupture at points plus zero and minus zero. EFFECT: possibility of quantitative assessment of bending state of quasi-hyperbole branches. 1 cl, 3 dwg РОССИЙСКАЯ ФЕДЕРАЦИЯ (19) RU (11) (13) 2 695 943 C1 (51) МПК G09B 23/04 (2006.01) G12B 11/02 (2006.01) ФЕДЕРАЛЬНАЯ СЛУЖБА ПО ИНТЕЛЛЕКТУАЛЬНОЙ СОБСТВЕННОСТИ (12) ОПИСАНИЕ ИЗОБРЕТЕНИЯ К ПАТЕНТУ (52) СПК G09B 23/04 (2019.02); G12B 11/02 (2019.02) (21)(22) Заявка: 2018113941, 16.04.2018 (24) Дата начала отсчета срока действия патента: Дата регистрации: 29.07.2019 Приоритет(ы): (22) Дата подачи заявки: 16.04.2018 (56) Список документов, цитированных в отчете о поиске: SU 1020853 A1, 30.05.1983. SU 1397959 A1, 23.05.1988. RU 93170 U1, 20.04.2010. CN 206649769 U, 17.11.2017. CN 106846998 A, 13.06.2017. CN 203706511 U, 09.07.2014. CN 202939856 U, 15.05.2013. (45) Опубликовано: 29.07.2019 Бюл. № 22 2 6 9 5 9 4 3 R U (54) ШКАЛА ИЗМЕРЕНИЙ КРИВИЗНЫ КВАЗИГИПЕРБОЛЫ (57) Реферат: Изобретение относится к области механики и в которых устроены фиксаторы для торцевых может быть использовано для проведения стенок, а в нижней крышке ортогонально практикумов по физике и математике в высших направлению плоскости ленты проброшен и средних учебных заведениях для изучения байпас. При этом по линии ветвей оптических и ...

Graph plate

내용 없음. No content.

COMPARATOR FOR TRAINING DEVICE

Education materials for language learning using art painting

본 발명은 그림을 통해 학습자의 우뇌를 자극하고 그림에 포함된 대상체들을 통해 언어, 도형 및 수학 학습이 가능하여 학습자의 좌뇌를 자극할 수 있는 워크북; 및 도형 학습이 가능한 복수의 도형 형태로 이루어지되, 복수의 그룹으로 구분되는 가베교구;를 포함하되, 상기 워크북은, 단어 학습이 가능한 도형이 그려진 그림카드와, 도형을 통해 수학적 사고를 유도하는 질문카드를 포함하는 수학 연계 도형 학습 영역; 학습자의 우뇌를 자극할 수 있는 그림으로 이루어지는 학습이미지가 표시되는 이미지 표시 영역; 및 단어 학습이 가능한 그림카드 또는 단어카드를 포함하고, 상기 그림카드 또는 상기 단어카드를 이용하는 학습하는 마인드맵부를 포함하는 단어 학습 영역;을 포함하는 것을 특징으로 하는 명화를 이용하여 언어 학습이 가능한 학습 교재를 제공할 수 있다. The present invention provides a workbook that stimulates the right brain of a learner through a picture and enables learning of languages, figures, and mathematics through objects included in the picture, thereby stimulating the left brain of the learner; And Gabe parish made in the form of a plurality of figures capable of figure learning, and divided into a plurality of groups; Including, wherein the workbook is a picture card with figures that can learn words, and mathematical thinking through figures Mathematics-linked figure learning area including a question card; an image display area in which a learning image composed of a picture capable of stimulating the learner's right brain is displayed; and a word learning area including a picture card or a word card capable of word learning, and a mind map unit for learning using the picture card or the word card; Textbooks can be provided.

Cutting and splicing method of cube

本发明公开了一种立方体的切割与拼合方法，包括以下步骤：S1：准备一立方体，从立方体的长棱沿对角线斜割后形成堑堵；S2：沿所述堑堵的一顶点与相对的宽棱做贯通的切割，剖开后形成阳马与鳖臑；S3：将所述阳马与所述鳖臑拼合后，构成三种非正棱锥的四棱锥；S4：在上述S2中，沿宽棱切割后，继续从S1的立方体的高棱沿对角线做贯通的切割，形成六块鳖臑；S5：在上述S1中，所述立方体的长宽高的比例设置为(1‑3.721)：(1‑3.721)：(1‑3.721)，将得到的六块S4所述鳖臑拼合后，构成多种正n棱锥，追加对应的鳖臑构成相应的正n棱柱。本发明的一种立方体的切割与拼合方法，可利用鳖臑拼合成多种正n棱锥，对现有椎体体积逻辑推导法提供了实操性补充。

Patent FR2106300A5

Geometry training device

Set of parts for materialization in space of geometry figures

Geometry training device

Variable parameter circular fan annular demonstration and arc length area measurement device

本发明公开了一种变参数圆扇环形演示及弧长面积测量装置，包括圆盘托架、扇形盘盖、保护闸门、径向连杆、弹性板条、矩形托架以及游标直尺，所述保护闸门和径向连杆分别设于圆盘托架上，且保护闸门与径向连杆相垂直，弹性板条呈圆弧状置于圆盘托架上，且弹性板条的两端分别与保护闸门和径向连杆相连，扇形盘盖盖设于弹性板条上，矩形托架设于圆盘托架上，且矩形托架相邻的两直角边分别与保护闸门和径向连杆相触接，游标直尺设于矩形托架上，径向连杆推拉弹性板条在圆盘托架与矩形托架之间进行圆弧和直线的转换，继而实现圆扇环形到三角形或梯形的演示及面积测量。本发明操作简单，适用性强，成本低廉，携带方便。

Trigonometric teaching device

DEVICE FOR CONSTRUCTING BI OR THREE-DIMENSIONAL STRUCTURES

Method of analyzing a multiphase, crystalline sample and a point-group-specific polyhedron

Es wird ein Verfahren zur Analyse einer mehrphasigen, kristallinen Probe, mit den folgenden Schritte angegeben: Es wird ein Satze von Polyedern bereitgestellt, die jeweils eine Kristallklasse repräsentieren, wobei jeder der Polyeder durch ein spezielles Flächenmuster auf seinen Polyederflächen charakterisiert ist, das alle kristallographisch äquivalenten Ausrichtungen durch dieselbe, eindeutige Farbe entsprechend einer richtungsabhängigen Farbkodierung und die Ausrichtung aller Symmetrieelemente der jeweiligen Kristallklasse durch entsprechende Symmetrien des speziellen Flächenmusters beschreibt. Es wird jeweils ein Beugungsbildes der Probe für verschiedene Messpunkte aufgenommen und aus dem Beugungsbild die kristalline Phase und die Kristallorientierung ermittelt. Es wird eine Orientierungskarte unter Verwendung der ermittelten Kristallorientierungen für mindestens eine Referenzrichtung erstellt, wobei der mindestens einen Referenzrichtung die Farbe zugewiesen wird, die der parallelen Kristallrichtung in der richtungsabhängigen Farbkodierung entspricht. Die Orientierungskarte und mindestens eins eine der ermittelten kristallinen Phasen repräsentierendes Polyeders wird dargestellt, wobei das Polyeder so dargestellt wird, dass die mindestens eine Referenzrichtung auf einer Polyederfläche des Polyeders markiert ist.

Educational appliance.

Dynamic regular cone section demonstration instrument

一种动态正劈锥体截面演示仪，主要是由圆环、支杆、顶线的直杆、套管、水平移动的直杆和弹性绳构成，用弹性绳穿过金属环a两端分别固定在金属环b和金属环c上，由弹性绳和水平移动的直杆围成的正劈锥体截面垂直于横坐标直杆。在移动水平移动的直杆就可以看到一组不同位置的正劈锥体截面。本发明专利的设计易于实现、成本低和易操作，实现了一种动态正劈锥体截面演示仪器，有利于提高学生对正劈锥体截面的全面理解，大大降低正劈锥体的体积计算的难度。

Educational blocks with enhanced manipulation features

The invention discloses an educational block having a frame member portion with a thickness appropriate for grasping, and a translucent window portion, the edge of which cooperates with the inner surface of portions of the frame member portion.

Educational device and method of indicating a final digit of each number in a sequence of numbers when counting in multiples using the educational device

A method of counting in multiples uses an educational device comprising a base and a set of ten markers positioned on the base spaced apart from one another along a generally annular path. Each marker is associated with a respective one of a range of numbers 0 through 9 in a sequence about the annular path of the device. Elastic bands or some other visually indicating links are used to visually associate the marker having the number 0 associated therewith with another one of the markers having the number associated therewith corresponding to the final digit of the next number in the sequence of numbers. Other numbers of the sequence when counting in multiples can similarly be visually indicated with links so that following the links indicates the final digit of each number in the sequence when counting in multiples.

Kit for building bodies composed of planar parts

Sine function definition demonstration and image synthesizer

本发明公开一种正弦函数定义演示及图像合成仪，本发明的目的是提供一种能快速演示单位圆内正弦函数的定义，能将单位圆内的正弦关系展开为正交函数关系，能在直角坐标系内快速合成正弦曲线等。包括立板支架、横向栈板、直径弦板、圆弧展板、内插管灯、转动机构、量角盘、径向转杆、切向展板，本装置具有：操作简单，功能齐全，结构紧凑，成本低廉，携带方便；适用性强，适用于教学、科普、环境美化等。

Apparatus for studying drawing

ECO set didactic blocks/cubes

A set of didactic blocks to be used by children is provided and consists of a plurality of different shaped geometric solid members and a plurality of indicia associated with the geometric solid members to stimulate artistic creativity and at the same time teach children mathematics, science, language and the like when the blocks are manipulated in play.

All-round trigonometric function demonstrating and shape drawing instrument

本发明公开了一种三角函数全能演示及图像绘制仪，主要由支架、活动画板、圆盘齿轮组、滑块连杆机构组成。在支架上设有演示装置、转换机构和绘图机构，演示装置与绘图机构之间通过连索相连。采用不同的装配方式将上述构件组合，只要摇动驱动轮上的手柄，就可以直观演示全部三角函数（正弦、余弦、正切、余切、正割、余割函数）关系，并能在画板、纸张或任意固定平面上绘制出连续准确的函数图像，通过简单的结构调整或连接方式改变，还能演示变周期、振幅、初相位等复合形式的类三角函数关系，并绘制出相应图像。本发明其结构简单、功能齐全、操作灵活、使用方便、应用广泛、成本低廉。

TUBE ASSEMBLY FACILITY

A kind of conic section mathematics model of mind directly perceived of support computer programming

提供一种依托计算机编程的圆锥曲线数学直观智能模型，其特征是：共有三组圆锥，LED(2)(3)(4)(5)(6)(7)安装于圆锥表面、且所在平面与圆锥相截、形成椭圆，LED(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)安装在圆锥表面、且所在平面与圆锥相截形成双曲线，LED(18)(19)(20)(21)安装在圆锥表面、且所在平面与圆锥相截形成抛物线。子程序芯片(25)(26)(27)(28)控制各LED依预定程序发光形成流水灯，形成不同的圆锥曲线。智能控制盒(24)内有单片机、驱动器，对各子程序芯片按预定程序智能控制，先后形成不同的圆锥曲线。

Assembly Teaching Aids for Education

Provided is an assembly teaching aid for education, comprising: a polyhedric block body provided by engagement and assembly of a first divided member and a second divided member having a rectangular plane, a plurality of rectangular inclined surfaces coming into contact with sides of the rectangular plane, connected triangular parts formed between the rectangular inclined surfaces adjacent to each other and a plurality of skirt vertical surfaces extended from one sides of the plurality of rectangular inclined surfaces and the connected triangular parts; a connection bar with a predetermined length having a protruded stopper or protruded stoppers at one end or both ends to be selectively hooked and connected to one among a first hooking hole formed to pass through the rectangular plane, second hooking holes formed to pass through the plurality of rectangular inclined surfaces and third hooking holes formed on a pair of the skirt vertical surfaces coming into contact with each other and being connected to the polyhedric block body or a polyhedric block body adjacent to each other; and a coupling unit generating coupling force for coupling the first divided member to the second divided member mutually to maintain an engaged and assembled state of the polyhedric block body. The present invention enhances creativity and stereoscopic senses and enables a user to well understand a stereoscopic object.

System for attaching flat constructive segments.

La presente invencion esta relacionada con varias industrias que en comun tengan la funcion de manufacturar articulos que sean el resultado de la union de segmentos constructivos planos. Estas industrias pueden ser, por ejemplo, fabrica de balones, de juguetes, o de carpas tipo geodesicas, entre otras. La ventaja que tiene esta invencion con respecto de los sistemas de union del estado de la tecnica radica en que nuestro invento hace posible uniones elasticas entre segmentos planos, para generar un espacio delimitado, hace posible articulos o construcciones de manufacturar o llevar a cabo para delimitar un espacio aislado del medio y sus elementos y logra estructuras de delimitacion de espacios que soporten y absorban las diferentes cargas que se originen por la accion de los elementos del medio. Este sistema se caracteriza porque dichas uniones por medio de pestanas se empalman entre si con la pestana correspondiente del segmento vecino y una cinta o elemento elastico que rodea a ambas pestanas empalmadas para mantenerlas elasticamente empalmadas, generando una pared o panel cualquiera, dependiendo del angulo en el cual se empalmen las pestanas; teniendo las pestanas esquinas redondeadas y lados convexos hacia fuera.

Geometry teaching aid

teaching aids for a regular polyhedron study

본 발명은 정다면체 학습 교구에 관한 것으로, 복수의 판재(13,14,15,16)가 상호 직교하는 상태로 결합된 뼈대가 정다면체(10)의 내부에 꽉 들어차게 설치된다. 상기 뼈대에 의해 정다면체(10)의 내부 공간에 상기 정다면체(10)의 각 면을 연결하는 다양한 선과 면이 존재하게 되고, 또한 상기 내부 공간이 다수로 분할된다. 따라서, 정다면체의 외형을 관찰하는 것에 더하여, 내부 공간을 고찰하고 임의 꼭지점 간의 거리, 정다면체의 부피, 각 분할 공간의 부피 등을 구하면서 정다면체를 보다 다양한 방식으로 학습할 수 있다. The present invention relates to a regular polyhedral learning precinct, the skeleton coupled in a state in which the plurality of plate (13, 14, 15, 16) is orthogonal to each other is installed tightly inside the regular polyhedron (10). By the skeleton there are various lines and faces connecting the respective faces of the regular polyhedron 10 in the internal space of the regular polyhedron 10, and the internal space is divided into a plurality. Therefore, in addition to observing the appearance of the regular polyhedron, the regular polyhedron can be studied in more various ways by considering the internal space and finding the distance between arbitrary vertices, the volume of the regular polyhedron, the volume of each divided space, and the like.

Angular connector/flexible edge skeletal construction

Various skeletal solids can be constructed by joining angular connectors to flexible edge strips. Angular connectors form 'corners' of a solid and determine the angle fold on the flexible edge strip. The resulting fold on the flexible edge, thus, enhances the structure of the solid. Solids can also be transformed into different structures by simple replacement of angular connectors. The assembly of a solid is a simple procedure of fitting angular connectors to flexible edge strips, or vice versa. <IMAGE>

A toy block unit having 50 faces and a toy block set consisted of toy blocks made therefrom

50개 면이 있는 블록 및 블록 그룹으로서, 상기 블록은 적어도 1개의 모듈로 구성되며, 모듈은 50개 면이 있고, 위에서 아래로 7층으로 배열된다. 블록쌓기를 할 때, 면의 접촉을 통하여 안정성을 유지한다. 상기 블록 그룹은, 5개 모듈로 구성된 블록 8개, 4개 모듈로 구성된 블록 4개, 총 12개 블록, 56개 모듈을 포함하며, 매개 블록은 모두 60도의 끼인각을 가지고 있어, 기존 45도 혹은 90도 끼인각과 부동하며, 12개 블록으로 6층 4면 삼각추체를 쌓거나, 또는 그중의 7개 블록을 선택하여, 5층 사면 삼각추체를 쌓을수 있어 두 가지 부동한 난이도의 게임기능을 구현하였다. A block and group of 50 faces, the block consisting of at least one module, the modules having 50 sides, arranged in seven layers from top to bottom. When stacking blocks, the surface contacts maintain stability. The block group includes eight blocks consisting of five modules, four blocks consisting of four modules, a total of 12 blocks, and 56 modules, and each block has an included angle of 60 degrees. Floating with a 90 degree angle, you can stack six-layered four-sided triangular pyramids with twelve blocks, or select seven blocks among them, and stack five-sided four-sided triangular pyramids with two different difficulty levels. It was.

Tangram set consist of dozen pieces

According to the present invention, A vertically incising device that equally divides both sides of a vertex A of a regular triangle having a predetermined size A, B, and C at 30 degrees with respect to a vertex A and vertically cuts the same at a side corresponding to the vertex A (L1A) so as to be divided into right triangles (? ABA1 and? ACA1) based on the first section improvement (L1A) (L2C1 or L2B1) on the basis of the point (C1 or B1) bisecting the hypotenuse (line segment AB or line segment AC) of the right triangle (? ABA1 or? ACA1) (C12 or B12) horizontally forming the inner side of the right triangle (? ABA1 or? ACA1) with respect to the point (C1 or B1) of the second section improvement (L2C1 or L2B1) and, (C13 or B13) perpendicular to the inner direction of the right triangle (? ABA1 or? ACA1) with respect to the point (C1 or B1) of the second section improvement (L2C1 or L2B1) , (L3 or L4) that equally divides the internal angle from the vertex (B or C) of the right triangle (? ABA1 or? ACA1) A square shape 5 having triangular shapes 1, 3, 7, 9, 11 and a trapezoidal shape on both left and right sides of the first section improvement L1A, a rectangular shape 5 having triangular shapes 2, 4, 8, 10, 12 and a trapezoid And the figure 6 is configured so as to be mutually symmetrical, The disadvantages of the existing seven-ball play sets and the disadvantages of the twelve play sets that have been developed in recent years can be compensated for. The shapes to be expressed using the respective pieces obtained by using a regular triangle shape as a basic frame are relatively detailed So that it is possible to expect the effect of increasing the possibility of creating various shapes and shapes through the set of twelve play sets.

Detachable educational constructions

Circle circumference measurement tools

Didactic apparatus

The invention provides didactic apparatus for use by young children in ascertaining the volume of solid structures built from unit cubes or blocks, and broadly comprises a square base plate and two rectangular walls connected at right angles and mounted on said base plate so as to be in planes parallel with but spaced from two adjacent sides of said base plate. Said base plate and walls are each marked with grid lines each square of which is of unit dimensions and the grid lines of the base plate externally of said walls are consecutively numbered from the juncture of the walls. The walls, at least, are transparent and horizontal grid lines thereon are numbered consecutively from the bottom.

Device and method for demonstrating the area of a circle

Automated test item generation system and method

A method and system for using a natural language generator for automatic assessment item generation is disclosed. The natural language generator includes a document structure generator that produces an abstract document specification defining a structure for an assessment item based on user input. The abstract document specification is input into a logical schema generator, which produces a logical schema specification that creates a more detailed specification for an assessment item. Finally, a sentence generator receives the logical schema specification and creates natural language for the assessment item based on the variables defined in the logical schema specification.

Patent DE3536996C2

A kind of central angle and angle of circumference relation demonstration teaching aid and its demenstration method

一种圆心角和圆周角关系演示教具及其演示方法。本发明包括圆心角刻度盘、中心导柱、弹性软绳，中心导柱固定安装在圆心角刻度盘的圆心处，圆心角刻度盘的盘面设置有环形T型槽；中心导柱上安装有圆周角刻度盘，圆周角刻度盘以中心导柱为轴心转动；圆周角刻度盘的盘面上刻有弧形刻度线，弧形刻度线的半径为环形T型槽的中心线至圆心角刻度盘圆心的距离的 倍；圆周角刻度盘的盘面上的中心导柱上安装有2个圆心角指针。其有益效果是，构思精巧，设计合理，直观显示圆心角和圆周角同步变化，且保证角度可以随时读出；便于操作，能够演示圆心角和圆周角的几何关系，让学生直观认识圆心角和圆周角的动态变化，提高对相关知识的认知度。

Modular Educational Device

A modular educational device includes primary and secondary modular boundary segments each having an outer shell extending to terminate at two socket ends, a plurality of modular plug-ended connectors each having two plug ends configured to mate with the corresponding ones of primary and secondary socket ends so as to enable the primary and secondary outer shell to form a loop-shaped structure that encircles an enclosed space of a certain geometric shape, and a modular support stand having a base and a pair of jaws which extend uprightly from the base and which are spaced apart from each other by a fitting space for accommodating a gripped region of the primary modular boundary segment so as to enable the loop-shaped structure to be stood on a surface.

Teaching appliance making it possible to visualise the properties of ordinary quadrilaterals

The invention relates to a device making it possible to visualise the properties of quadrilaterals and the continuous changes from one figure to another. It consists of four sleeves 1, 2, 3, 4 in which slide four rods 5, 6, 7, 8 capable of being locked, of two rods 13, 14 sliding in four parts 15, 16, 17, 18 also having the function of articulations between the sleeves 1, 2, 3, 4 and, respectively, the rods 6, 7, 8, 5. By pressing or pulling on the parts 16, 18, 15 or 17, respectively, deformations are obtained, revealing the figures and their properties. The device according to the invention is particularly intended for teaching geometry, from elementary classes to the final year.

Educational cubic toy device

A kind of linear projection's demenstration method

本发明公开了一种直线投影演示方法，选取一个两面投影体系，包括正面、水平面构成直线投影装置本体，在正面的上部铰链半圆环，即半圆环可以在正面的平面内上下转动，正面底部边沿画一水平线，形成OX轴；空间直线的上端为勾状，套在半圆环上，空间直线用AB表示，下端B点位于边框下端中间铰链接处位置不变，上端A点可以在半圆环上滑动；当空间直线的A端位于半圆环的最右端处时，空间直线AB平行于正面，并在此位置处在正面上画出直线AB，并标出直线AB和OX轴的夹角α，α即表示空间直线与水平面倾角的真实大小；将投影仪、直线投影装置本体、屏幕构成投影体系即可演示空间直线的投影特性。

Icosahexahedron

A Building Framework with 26 sides (Icosahexahedric) and 16 Vertices, known whimsically as a Silmaril. It is derived from the fusion of 2 Icosahedral Frameworks into it single Framework with 3 equidistant and parallel internal planes, one plane a perfectly symmetrical 12 sided elliptical equatorial, the other 2 planes being geometrically related 6 sided inversions, resulting in useful practical applications of the Building Framework. Having 20 identical equilateral triangles, 2 sides which are isosceles triangles, another 2 sides different but geometrically related isosceles triangles, and 2 quadrilaterals again geometrically related to the previous triangles. It is geodesic in many planes resulting in great structural strength, integrity and aesthetic appearance. External alignment points allow joining multiple similar frameworks into expanded building frameworks in many dimensions. Some dimensions are of the Fibonacci Ratio. It aligns mystically in 2 dimensions perfectly with the Star Constellation Orion depicting an ancient Universal Sign of Peace.

Apparatus for demonstrating the variation of the trigonometric functions in a two dimensional system

New-type instructive game aiming at the experiential perception of the pythagorean theorem

Η παρούσα εφεύρεση αναφέρεται σε νέου τύπου εκπαιδευτικό παίγνιο για την πρακτική απόδειξη του Πυθαγόρειου Θεωρήματος με τρόπο απλό, εύχρηστο, προσφέροντας το μεγάλο προσόν της σύνθεσης της βιωματικής πράξης με την Ευκλείδεια λογική. Το εκπαιδευτικό αυτό παίγνιο αποτελείται από υλικές επιφάνειες (Α-Β-D-E), (A-B'-D'-E'), (a), (b), (c) και (a'), (b'), (c'), που συνιστούν τα συνθετικά μέρη της γεωμετρικής παράστασης και απόδειξης του Πυθαγόρειου Θεωρήματος κατά την εκδοχή του ισοσκελούς τριγώνου, και τους πύρους περιστροφής τους (Ja), (Jb) με τους οποίους διασφαλίζεται η σταθερή αναφορά σε σημεία και αποστάσεις ούτως ώστε να τηρείται η Ευκλείδεια νοοτροπία, του κανόνα και του διαβήτη, προσφέροντας έτσι μία αυθεντική ευκαιρία στα παιδιά να αντιληφθούν βιωματικά-πρακτικά το Πυθαγόρειο Θεώρημα.

Window toy

The present invention relates to a window toy capable of improving the creativity of infants and adolescents by utilizing a large window in a residence area that occupies a large area but is practically inefficient, and also capable of not affecting the existing application of the large window, and in particular, to a window toy for helping growing infants to understand basic elements of a figure, such as a point, a line, and a face, so as to achieve educational effects such as brain development. To this end, the present invention includes: a plurality of fixing point members having a bonding means on a lower surface thereof and a shaft diameter portion with an outer diameter reduced relatively to front and rear portions at a central portion of an outer circumferential surface thereof; and a line member configured to show a pattern by wrapping the shaft diameter portion of the plurality of fixing point members.

Jigsaw Learning Materials

Teaching apparatus

Apparatus to facilitate the study of descriptive geometry

Modules creating magnetic anchorage assemblies and relevant assemblies

A module ( 1, 16, 19, 28, 50, 52, 54, 100 ) for the creation of assemblies comprising at least one active magnetic element of attraction ( 2, 3, 17, 20, 33, 34, 42, 47, 48 ) and at least one ferromagnetic element ( 6, 21, 22, 30, 40, 44 ) suitable for defining areas ( 13, 14, 35, 36, 88, 90, 80, 82, 110, 10, 250, 260, 92, 94 ) for connection to other modules, with which it is possible to create an assembly of modules ( 1, 16, 19, 28, 50, 52, 54, 100, 37, 15 ) which provides a magnetic circuit which closes totally or at least partially via the ferromagnetic elements present ( 6, 21, 22, 30, 40, 44, 55, 104, 37, 15 ).

A kind of background mathematics demonstrator

本发明涉及一种基础数学演示仪，包括底座，底座上设置有可伸缩的立柱，立柱的顶端设置有顶板，顶板和底座之间设置有演示旋转体形成过程的展示装置一；顶板的上方设置有验证周长计算方法的展示装置二。与现有技术相比，本发明提供的一种基础数学演示仪，可用来演示旋转体的形成过程，简单明了，易于学生进行理解，还可演示圆的周长与π的关系，便于学生增加对圆的周长的计算的理解，加深印象，本发明集合两种演示功能于一体，功能多样，占空间小，实用性好，值得推广。

A kind of pushing type teaching aid for being used to solve oval problem of values determination

本发明公开了一种用于解决椭圆定值问题的推举式教具，包括底板、第一滑块、第二滑块、第一连杆、第二连杆、第三连杆和推杆；底板的表面设置有椭圆槽和直线槽，直线槽垂直于椭圆槽的长轴，直线槽穿过椭圆槽的一个焦点；第一滑块和第二滑块均设置在椭圆槽内；第一连杆和第二连杆均铰接在底板上；第三连杆与第一滑块和第二滑块活动连接；推杆安装在直线槽内并且可以沿着直线槽滑动。本发明教具利用第一滑块和第二滑块来模拟椭圆定值问题中的两个动点，利用第二连杆、第二连杆和推杆保持两个动点之间的联动关系，使得学生可以直观的观察到椭圆定值问题中的两个理论动点的运动情况以及两个动点与极限切线之间的本质关系，提高学习效率。

Mathematics teaching aid for mathematics thinking training and application method thereof

本发明提供一种数学思维训练的数学教具及其使用方法，其包括支撑结构、折叠组件和承载板；支撑结构具有支撑架和支撑底盘，所述支撑底盘位于所述支撑架的第一侧，所述支撑底盘上具有吸附盘，所述吸附盘用于吸附在物体表面上；通过多个折叠三角板的设置，其能够形成两种不同的状态，即具有折叠收纳状态和展开放置状态，在收纳的时候组合形成一个正方形图形的板体，然后在翻折之后则形成一个方形的基础板和四个散落放置的三角板，这样就实现了对于方形图形的面积切分和组合翻折的直观性展示，使用方便。并且这种结构非常容易固定在竖直的墙壁如黑板上，这样对于教师的授课讲解会变得容易。

Teaching device to illustrate and calculate geometric figures

Method and system for simulating a thread in computer-based graphical simulations

Drawing aid

Demonstration tools for geometric properties

A variety of tools for demonstrating the mathematical properties is disclosed. In one embodiment, a demonstrator uses the tools to illuminate geometric relationships between objects in two and three-dimensional space. The tools may be a stationary exhibit or collected into a portable kit. Whether portable or stationary, the tools provide an easy to use, multi-functional, and visually captivating vehicle for demonstration of geometric properties.