Chessboard teaching aid

Abstract

The utility model relates to the technical field of teaching aids, and discloses a chessboard teaching aid. The chessboard teaching aid comprises a chessboard grid and coordinate axes arranged on the chessboard grid, the chessboard grid comprises an odd number of vertical transverse lines and vertical lines which are distributed at equal intervals, the lengths of the transverse lines and the vertical lines are equal to the number of the lines, intersection points of the transverse lines and the vertical lines located in the center of the chessboard grid are sky elements, and coordinate origins of the coordinate axes coincide with the sky elements. And the axis of the coordinate axis coincides with the horizontal line and the vertical line in the center. According to the chessboard teaching aid, the chessboard is combined with number axes, rectangular coordinates, limit coordinates and the like in mathematics to assist mathematics teaching, so that teaching content is easier to understand.

Description

TECHNICAL FIELD

[0001] The utility model relates to teaching aid technical field, concretely relates to chessboard teaching aid. BACKGROUND

[0002] Teaching aid is the general term of all kinds of appliances used by students to understand teaching content directly and visually and appliances used by teachers when teaching, teaching aid can improve students' learning interest, enrich perceptual knowledge, help students form clear concepts and develop students' observation ability and thinking ability. Teaching aid is generally divided into ordinary teaching aid, special teaching aid, infant teaching aid and the like, which directly presents objective things to students so that students can directly feel and simulate real objects. Teaching aid includes specimens, models and other replicas such as a globe, a human body model, an engineering equipment model and the like, and also includes conventional teaching aid used when teaching such as a blackboard, a board eraser, a whiteboard and a chalk.

[0003] In the education and teaching of mathematics, number shape combination is an important principle and effective method in mathematics teaching, existing teaching aid is extremely rich, but the system integration is not enough. CONTENT OF THE UTILITY MODEL

[0004] The utility model aims at overcoming the problem of insufficient system integration of teaching aid applied to mathematics teaching in prior art, and provides a chessboard teaching aid, which combines a chessboard with a number axis, a rectangular coordinate and a limit coordinate in mathematics, and is used for assisting mathematics teaching, so that teaching content is easier to understand.

[0005] In order to achieve the above-mentioned purpose, the utility model provides a chessboard teaching aid, which comprises a chessboard grid and a coordinate axis arranged on the chessboard grid, the chessboard grid comprises an odd number of vertical and equidistantly distributed horizontal lines and vertical lines, the length and the number of lines of the horizontal lines and the vertical lines are equal, the intersection point of the horizontal line and the vertical line located at the center of the chessboard grid is a celestial element, the coordinate origin of the coordinate axis is coincident with the celestial element, and the axis line of the coordinate axis is coincident with the horizontal line and the vertical line located at the center.

[0006] The horizontal lines and the vertical lines are vertically, equidistantly and equally long distributed to form the chessboard grid, the coordinate axis is arranged on the basis of the chessboard grid, the coordinate axis is coincident with the middle horizontal line and the middle vertical line of the chessboard grid, so that the chessboard grid can be applied to mathematics teaching, the number shape combination of mathematics teaching is realized, the mathematics teaching is facilitated, and students can understand the teaching content of mathematics more directly and easily.

[0007] Preferably, the coordinate axis comprises an x-axis line and a y-axis line which are vertically distributed, the x-axis line and the y-axis line form a rectangular coordinate axis, the celestial element is the coordinate origin of the rectangular coordinate axis, the celestial element extends along the x-axis and coincides with the x-axis to form a limit coordinate axis, and the celestial element is the pole point of the limit coordinate axis.

[0008] The coordinate axis can be a rectangular coordinate axis, a polar coordinate axis, and a number axis, and diversified teaching can be realized, so that the chessboard teaching aid can be applied to mathematical teaching at various stages.

[0009] Preferably, the horizontal lines and the vertical lines at both ends of the chessboard grid intersect to form an outer frame, and the horizontal lines and the vertical lines at the center of the chessboard grid intersect to form an inner axis, and the outer frame or the inner axis is provided with numbers, and positive and negative numbers are arranged along the direction of the coordinate axis with the intersection point of the inner axis as the origin.

[0010] The numbers are arranged on the inner axis or the outer frame of the chessboard grid 1 to realize the numerical value of the chessboard grid, which can better combine with mathematical teaching.

[0011] Preferably, the chessboard grid adopts a Go chessboard, which includes nineteen horizontal lines and nineteen vertical lines, and the horizontal lines and the vertical lines at the center of the Go chessboard coincide with the coordinate axis.

[0012] Using the Go chessboard as the chessboard grid makes students who have learned Go understand the teaching content of mathematics more quickly and better.

[0013] Preferably, the chessboard teaching aid includes straight polar coordinate lines, and the diagonal lines of the outer frame are straight polar coordinate lines.

[0014] The straight polar coordinate lines can be used as auxiliary lines for length and angle in the polar coordinate system, which is convenient for teaching.

[0015] Preferably, the chessboard teaching aid includes arc polar coordinate lines, and the arc polar coordinate lines are circular arcs with a radius equal to the distance from the heavenly element to the intersection point of any horizontal line and vertical line.

[0016] The arrangement of the arc polar coordinate lines can make the chessboard teaching aid better used for teaching of mathematical knowledge related to the polar coordinate system, angle, and trigonometric functions.

[0017] Preferably, the chessboard teaching aid includes chess pieces, and the chess pieces include black pieces, white pieces, and gray pieces, the gray pieces include first gray pieces, second gray pieces, and third gray pieces, and the three types of gray pieces are distinguished by different marks.

[0018] Based on the black pieces and the white pieces of Go, the gray pieces are added, and the gray pieces are set to different types, so that the expression of mathematical teaching is more diverse.

[0019] Preferably, the first gray pieces, the third gray pieces, and the black pieces and the white pieces have the same inner diameter, and the inner diameter of the second gray pieces is smaller than that of the black pieces.

[0020] The inner diameter of the second gray pieces is set to be different, which can be distinguished from other chess pieces, and can also be used as a label type chess piece, and occupies less space in the chessboard grid, which is convenient for labeling.

[0021] Preferably, the chessboard teaching aid further comprises a ruler, and the scale of the ruler is matched with the scale of the chessboard grid.

[0022] The added ruler can combine various types of quantitative teaching tools with the chessboard grid and coordinate axis, and the scale is matched, which is more beneficial for teaching.

[0023] Preferably, the chessboard grid adopts coordinate paper or a chessboard.

[0024] The chessboard grid of the chessboard teaching aid can be combined with various types of chessboards, and the teaching demand can be selected, so that the teaching aid is diversified and has more choices.

[0025] Through the above technical scheme, the chessboard teaching aid of the utility model superimposes the chessboard grid on the number axis, the rectangular coordinate and the limit coordinate in mathematics, so that the mathematical teaching content is more intuitive and easier to understand. The chessboard teaching aid is universal, so that the chessboard teaching aid can be applied to teaching at various stages, and the mathematical teaching efficiency is improved. BRIEF DESCRIPTION OF DRAWINGS

[0026] Figure 1 is a structure schematic view of the chessboard teaching aid;

[0027] Figure 2 is a structure schematic view of the chessboard teaching aid for placing chess pieces;

[0028] Figure 3 is a structure schematic view of a square chessboard teaching aid;

[0029] Figure 4 is a structure schematic view of a circular chessboard teaching aid;

[0030] Figure 5 is a structure schematic view of the chessboard teaching aid used with a ruler;

[0031] Figure 6 is a structure schematic view of the chessboard teaching aid applied to the teaching of trigonometric functions;

[0032] Figure 7 is a structure schematic view of the chessboard teaching aid applied to the teaching of a circle;

[0033] Figure 8 is a structure schematic view of coordinate paper as the chessboard grid;

[0034] Figure 9 is a structure schematic view of a chessboard as the chessboard grid;

[0035] Figure 10 is a structure schematic view of a small chessboard at a primary stage as a teaching aid.

[0036] REFERENCE SIGNS

[0037] 1, chessboard grid; 11, the celestial element; 12, horizontal line; 13, vertical line; 14, outer frame; 2, coordinate axis; 3, straight polar coordinate line; 4, arc polar coordinate line; 5, horizon; 61, black piece; 62, white piece; 63, first gray piece; 64, second gray piece; 65, third gray piece; 7, ruler; 8, coordinate paper; 9, chessboard. DETAILED DESCRIPTION

[0038] The specific embodiments of the present application will be described in detail below with reference to the accompanying drawings. It should be understood that the specific embodiments described herein are merely intended to illustrate and explain the present application, and are not intended to limit the present application.

[0039] In the present application, unless otherwise stated, the orientation words such as "up, down, left, right, inside, outside, far, near, front" used herein generally refer to the orientation or positional relationship shown in the drawings, and are only used for the convenience of describing the present application and simplifying the description, and therefore cannot be understood as limiting the present application.

[0040] As shown in Figure 1 A chessboard teaching aid, comprising a chessboard grid 1 and a coordinate axis 2 arranged on the chessboard grid 1, the chessboard grid 1 comprising an odd number of vertical and equidistantly distributed horizontal lines 12 and vertical lines 13, the length and number of lines of the horizontal lines 12 and the vertical lines 13 being equal, the intersection point of the horizontal line 12 and the vertical line 13 located at the center of the chessboard grid 1 being the celestial element 11, the coordinate origin of the coordinate axis 2 coinciding with the celestial element 11, and the axis of the coordinate axis 2 coinciding with the horizontal line 12 and the vertical line 13 located at the center.

[0041] The utility model discloses a chessboard teaching aid, including chessboard grid 1 and coordinate axis 2, wherein chessboard grid is by odd number of each other perpendicular horizontal line 12 and vertical line 13 is formed, and horizontal line 12 and vertical line 13 equal length and equidistance distribution, and horizontal line 12 and vertical line 13 of same number form a square grid. The intersection of horizontal line 12 and vertical line 13 located in the center of the chessboard grid is the celestial element 11, and the structure formed by the perpendicular intersection of horizontal line 12 and vertical line 13 located in the center of the chessboard grid overlaps the coordinate axis 2, and the celestial element 11 is the coordinate origin of the coordinate axis 2, so that the combination of mathematical teaching and chessboard grid 1 can be realized. The chessboard grid 1 with the coordinate axis 2, the coordinate axis 2 can be a rectangular coordinate axis, a number axis, a limit coordinate axis, etc., combined with the quantifiable chessboard grid 1, the superposition of the chessboard grid 1 and the number axis is beneficial to the corresponding relationship of straight line, line segment and rectangle, and strengthens the corresponding relationship of number and shape; the superposition of the chessboard grid 1 and the rectangular coordinate system can directly establish the number-shape corresponding relationship of angle, polygon (including triangle, rectangle, parallelogram, trapezoid and other polygons) and circle, which is convenient for observation, measurement, calculation (including length, angle, area calculation, etc.) and the like; after the superposition of the chessboard grid 1 and the rectangular coordinate and limit coordinate, the corresponding relationship of trigonometric function, real number, imaginary number, complex number and the like can be better established, which is convenient for the auxiliary teaching of analytic set, calculus and the like.

[0042] Further, the coordinate axis 2 includes an x-axis and a y-axis that are perpendicular to each other, the x-axis and the y-axis form a rectangular coordinate axis, the celestial element 11 is the coordinate origin of the rectangular coordinate axis, the celestial element 11 extends along the x-axis and coincides with the x-axis to form a limit coordinate axis, and the celestial element 11 is the pole point of the limit coordinate axis.

[0043] Specifically, the coordinate axis 2 can serve as a rectangular coordinate axis, the x-axis of the rectangular coordinate axis is in the horizontal direction, the y-axis is in the vertical direction, and the celestial element 11 is the coordinate origin. Preferably, the arrows and tails of the x-axis and the y-axis protrude from the chessboard grid, so that the coordinate axis 2 is more eye-catching. More preferably, the color of the coordinate axis 2 is different from that of the chessboard grid 1, so that the coordinate axis 2 is more eye-catching and easy to distinguish, which is convenient for teaching.

[0044] The coordinate axis 2 can also serve as a limit coordinate axis, which is the overlapping part of the celestial element 11 extending along the x-axis and the x-axis. In the limit coordinate axis, the celestial element 11 is the pole point.

[0045] The coordinate axis 2 is applied to the rectangular coordinate system and the limit coordinate system, thereby simplifying the teaching aid and enabling the chessboard teaching aid to realize multi-element teaching.

[0046] It should be noted that when the coordinate axis 2 serves as a number axis, the x-axis or the y-axis is the number axis, and the celestial element 11 is the origin of the number axis.

[0047] Further, the horizontal lines 12 and the vertical lines 13 at two ends of the chess grid 1 intersect to form an outer frame 14, and the horizontal lines 12 and the vertical lines 13 at the center of the chess grid 1 intersect to form an inner axis, and the outer frame 14 or the inner axis is provided with numbers, and the numbers are set as positive and negative numbers along the direction of the coordinate axis 2 with the intersection point of the inner axis as the origin.

[0048] In the chess grid 1, the two horizontal lines 12 and the two vertical lines 13 at two ends intersect to form an outer frame 14, and the horizontal line 12 and the vertical line 13 at the center intersect to form an inner axis, and the corresponding intersection points of the horizontal lines 12 and the vertical lines 13 on the inner axis or the outer frame 14 are provided with corresponding numbers, and the numbers are set with the origin being the celestial element 11, i.e. 0, and the positive and negative numbers are set along the direction of the x-axis and the y-axis, as shown in Figure 1 、 Figure 3 and Figure 4 The numbers can be set outside the outer frame 14 or at the inner axis, and are preferably set outside the outer frame 14.

[0049] Further, the chess grid 1 adopts a Weiqi chessboard, which includes nineteen horizontal lines 12 and vertical lines 13, and the horizontal line 12 and the vertical line 13 at the center of the Weiqi chessboard coincide with the coordinate axis 2.

[0050] The chess grid 1 adopts a Weiqi chessboard, which has nineteen horizontal lines 12 and vertical lines 13, and is provided with a celestial element 11 and nine star positions, wherein the celestial element 11 is one star position, and the other eight star positions are distributed in eight directions, and the distribution of the eight star positions of the Weiqi chessboard is known, and will not be described here.

[0051] Weiqi is easy to popularize and has a high rate of young people, and has a good cultural and cognitive basis. Weiqi contains rich mathematical knowledge, which is combined with number axis, rectangular coordinate system, limit coordinate and commonly used teaching aids, which is beneficial to the combination of number and shape in mathematics teaching.

[0052] For students with a certain Weiqi cognitive basis, the Weiqi chessboard can be used as a chess teaching aid to enable students to more quickly and more intuitively understand the related knowledge of mathematics.

[0053] Further, the chess teaching aid includes a straight polar coordinate line 3, and the diagonal lines of the outer frame 14 are the straight polar coordinate line 3.

[0054] The chess teaching aid is further provided with two straight polar coordinate lines 3, and the straight polar coordinate lines 3 are formed by the intersection of the two diagonal lines of the outer frame 14, and the angle between the straight polar coordinate line 3 and the x-axis is 45° and 135°. The straight polar coordinate line 3 can be used as an auxiliary line for the limit coordinate system about length and angle, and can assist in teaching knowledge related to angle and length.

[0055] Further, the chessboard teaching aid comprises arc polar coordinate lines 4, which are circular arcs with the distance from the intersection point of the celestial pole 11 and any horizontal line 12 and vertical line 13 as the radius.

[0056] In order to further assist the teaching of the polar coordinate system, the chessboard teaching aid is further provided with arc polar coordinate lines 4. The arc polar coordinate lines 4 are circular arcs with the distance from the intersection point of the celestial pole 11 and any horizontal line 12 and vertical line 13 as the radius, and the preferred radius of the circular arc is the distance from the celestial pole 11 to the star position on the middle horizontal line 12, as shown in the embodiment. Figure 1 In the embodiment shown, the arc polar coordinate lines 4 are provided with two, and the other is a circular arc with the distance from the intersection point of the celestial pole 11 and the outer frame 14 as the radius, which is called the horizon 5, corresponding to the celestial pole 11. The setting of the arc polar coordinate lines 4 can be better used for the teaching of mathematical knowledge related to the polar coordinate system, angle, and trigonometric function.

[0057] The straight polar coordinate line 3 can measure and identify the length, and also assist in measuring the polar angle degree, and the arc polar coordinate line 4 can also be used to measure the length using the distance from the center.

[0058] In the embodiment shown in Figure 1 In order to distinguish the chessboard grid 1, the coordinate axis 2, the straight polar coordinate line 3 and the arc polar coordinate line 4, the straight polar coordinate line 3 and the arc polar coordinate line 4 adopt a color different from the chessboard grid 1 and the coordinate axis 2 to distinguish. For example, the chessboard grid 1 adopts black, the coordinate axis 2 adopts white, the straight polar coordinate line 3 and the arc polar coordinate line 4 adopt gray, and the color distinction makes the viewing more eye-catching, and is more conducive to the diversified application of the chessboard teaching aid.

[0059] Further, the chessboard teaching aid comprises chess pieces, which include black pieces 61, white pieces 62 and gray pieces, and the gray pieces include first gray pieces 63, second gray pieces 64 and third gray pieces 65, and the three types of gray pieces adopt different marks to distinguish.

[0060] In addition to the black pieces 61 and white pieces 62 of the traditional Chinese chess, the gray pieces are additionally provided, and the gray pieces can be set in multiple types according to the teaching needs, and in the embodiment shown in Figure 2 In the embodiment shown, the gray pieces are provided in three types, which are the first gray pieces 63, the second gray pieces 64 and the third gray pieces 65, wherein the first gray pieces 63 and the second gray pieces 64 are marked with numbers, and the third gray pieces 65 are marked with coordinate numbers.

[0061] Further, the first gray pieces 63 and the third gray pieces 65 have the same inner diameter as the black pieces 61 and the white pieces 62, and the inner diameter of the second gray pieces 64 is smaller than that of the black pieces 61.

[0062] In order to better assist teaching, keep the inner diameter of the black and white pieces 61 and 62 consistent, the size of the first and third gray pieces 63 and 65 can be set to be consistent with the inner diameter of the black pieces 61, and the inner diameter of the second gray piece 64 is smaller than the diameter of the black pieces 61, preferably the inner diameter of the second gray piece 64 is half of the diameter of the black pieces 61. The second gray piece 64 can identify numbers, angles, or other information, depending on the teaching needs.

[0063] Specifically, taking the go board as an example, there are two embodiments of the arrangement of the pieces.

[0064] The first embodiment is based on the original black and white pieces 61 and 62, and adds the first gray piece 63 as a number piece, which identifies two groups of numbers 0-19, 0-9, -9--1, a total of 78 pieces, of which the numbers identified on the first gray piece 63 are set as one group of black and white, respectively, in actual teaching application, the positive numbers can be set as white numbers and the negative numbers can be set as black numbers; add the second gray piece 64, which is half the size of the black pieces 61, the second gray piece 64 can be used as a coordinate marker, when used as a coordinate marker, the second gray piece 64 identifies four groups of numbers 0-9, -9--1, a total of 76 pieces, the colors of the numbers identified by the second gray piece 64 can be different, black and white can be used, black to identify negative numbers and white to identify positive numbers; further add the third gray piece 65 as a coordinate piece, which identifies the numerical value of the specific point coordinates on the third gray piece 65, and sets the numerical value of the coordinate points (-9, -9)~(9, 9) as a group, a total of 361 pieces, the numbers can use white characters, the third gray piece 65 can select positive and negative numbers in the actual application of teaching according to the teaching stage. In addition, the number of black and white pieces 61 and 62 can be selected according to the teaching needs.

[0065] In the second embodiment, the shape of the chess pieces is modified to a flat cylindrical structure, and the front and back of the chess pieces can be marked with corresponding numbers to reduce the number of chess pieces. Specifically, the black chess pieces 61 and the white chess pieces 62 are provided as follows: two groups of numbers 0-19 and 0-9 are provided on the front, and a total of 60 chess pieces are provided; numbers -19-0 and -9-0 are provided on the back; the positive and negative numbers on the front and back correspond to each other; the numbers marked on the black chess pieces 61 and the white chess pieces 62 are set to white and black respectively; white numbers are used on the black chess pieces 61, and black numbers are used on the white chess pieces 62; a second gray chess piece 64 is additionally provided, and numbers can be provided on the front and back of the second gray chess piece 64; positive numbers 0-9 are provided on the front, and negative numbers -9-0 are provided on the back; the positive and negative numbers on the front and back correspond to each other; the second gray chess piece 64 can also be provided with angle names such as ∠1 and ∠2 to mark angles; the numbers marked on the second gray chess piece 64 can be in different colors, which can be black and white; black is used to mark negative numbers, white is used to mark positive numbers, and white can be used to mark angles; a third gray chess piece 65 is additionally provided as a coordinate chess piece, and the numerical values of specific point coordinates are marked on the third gray chess piece 65; (0, 0)-(9, 9) are provided on the front, and (-9, -9)-(0, 0) are provided on the back; a total of 181 coordinate points are provided; the numbers can be in white; in actual teaching applications, if the third gray chess piece 65 is needed for teaching, the third gray chess piece 65 can be provided in two groups. The chess pieces of the second embodiment use double-sided numbers, which can reduce the number of chess pieces used and reduce the manufacturing cost.

[0066] Further, the chessboard teaching aid further comprises a ruler 7, and the scale of the ruler 7 is matched with the scale of the grid 1.

[0067] As shown in Figure 5 , the chessboard teaching aid further comprises a ruler 7, and the ruler 7 can be a ruler, a triangular board, a protractor, a compass, a jigsaw puzzle, various rectangles, trapezoids and other teaching tools; the ruler 7 is preferably made of transparent material to see through the information on the grid chessboard.

[0068] The grid 1 of the chessboard teaching aid and the chess pieces, the ruler 7 and other teaching aids are magnetically attracted to facilitate display during teaching.

[0069] It should be noted that the chessboard teaching aid is provided with a chessboard, and the grid 1 is provided on the chessboard; the chessboard can be rectangular, as shown in Figure 3 , or circular, as shown in Figure 4 ; the shape can be selected according to the preference of the user.

[0070] Further, the grid 1 is made of coordinate paper 8 or an international chessboard 9.

[0071] The chessboard grid 1 can adopt various grid forms as long as the scale ratio of the chessboard grid 1 and the scale of the accessory teaching aid (such as the ruler 7) corresponds, and the chessboard grid 1 can also adopt the form of coordinate paper 8 as shown in Figure 8 , or can adopt a chessboard 9 as the chessboard grid 1 as shown in Figure 9 , and the coordinate axes 2, number axes, limit coordinate axes, straight polar coordinate lines 3 and arc polar coordinate lines 4 can be set in the form of the chessboard grid 1 of the go chessboard.

[0072] The chessboard teaching aid of the utility model stacks the number axis, the rectangular coordinate system and the limit coordinate system, and makes the mathematical teaching intuitive, systematic and practical. The chessboard teaching aid is closely related to the mathematical knowledge related to the primary and middle school stages, and the system is complete. The chessboard teaching aid can improve the mathematical teaching efficiency, especially the teaching efficiency of the combination of numbers and shapes. The scheme has an auxiliary effect on the promotion of the geometry teaching, the mathematical principle and the formula teaching of the basic education stage, for example, the famous Euler formula series explanation.

[0073] The application of the chessboard teaching aid in the mathematical teaching is illustrated by the following examples.

[0074] Example 1

[0075] The negative number teaching implementation case: the chessboard grid 1 is combined with the number axis, and the chess pieces with numbers are used to teach the negative numbers. The numbers gradually increase by 1, 2, 3, ……9 from the right of the x-axis origin, and gradually decrease by 1 from the left of the x-axis origin, and when 0-1, -1 appears, and then -2 appears, and it can be observed that the positive and negative numbers form a symmetrical relationship. The numbers gradually increase by 1 from the top of the y-axis origin, and the positive numbers are reviewed, and the numbers gradually decrease by 1 from the bottom of the y-axis origin, and the negative numbers are understood. The elevator scene in life is established in correspondence with the y-axis scene, and the children can understand the negative numbers.

[0076] Example 2

[0077] The right-angled triangle teaching implementation case: the protractor and the triangle board matched with the chessboard grid 1 are used in the example, the triangle board is matched with the chessboard grid 1 to teach the knowledge of the right-angled triangle, the chessboard grid 1 can be used to estimate the area and deduce the area formula, the coordinate scale can be used to measure and calculate the length of the triangle, the combination of the chessboard grid 1 and the rectangular coordinate can be used to teach the trigonometric function, the combination of the number and the shape improves the teaching efficiency, and the operation is simple.

[0078] As shown in Figure 6 , taking the teaching of the isosceles right-angled triangle as an example, the triangle ABC is taken, the point A is located at the celestial element 11, and the angle C is a right angle, and the presentation in the chessboard grid 1 is as shown in Figure 6As shown in the figure, the coordinate values of points A, B, C are clear, and the coordinate value of the center point D of the side BC is also clear. The relationship between the side length c of the side AB, the side length b of the side AC and the side length a of the side BC is a 2 +b 2 =c 2 The function relationship sinA=a / c and sinB=b / c can be intuitively presented.

[0079] Embodiment 3

[0080] The equation teaching implementation case of the circle: in the teaching of the circle, the chessboard teaching aid is used, which is convenient for intuitively displaying and establishing the corresponding relationship between the celestial element 11 and the center point O of the circle, establishing the corresponding relationship between the distance from the celestial element 11 to the four star positions above, below, left and right and the radius of the circle, establishing the corresponding relationship between the semicircle amplitude and “pi”, and establishing the relationship between the limit coordinates and the circle. On this basis, the teaching about the equation of the circle is expanded, which is more convenient for intuitive understanding, quantitative observation and calculation reasoning.

[0081] As shown in the figure, Figure 7 , the coordinates of the center point O of the circle are (a, b), the coordinates of any point on the circle are (x, y), and r is the radius. As shown in the figure, Figure 7 , a=2, b=1, x=2, y=5, r=4, and the standard equation of the circle (x-a) 2 +(x-b) 2 =r 2 The numerical examples can be intuitively found to verify the teaching.

[0082] In order to adapt to the learning needs of students in primary school areas, a primary version of the chessboard teaching aid can be set up. One fourth of the standard chessboard grid 1 is made into a primary version of the small chessboard, which coincides with the first quadrant of the rectangular coordinate system, as shown in the figure. Figure 10 The other settings refer to the standard chessboard grid 1. The primary version of the small chessboard is circumscribed by a circle, and the limit coordinate system does not appear. The primary version of the small chessboard is suitable for children aged 5-7 years old, and the number of chess pieces of the primary version of the small chessboard is adjusted accordingly.

[0083] In order to further cooperate with the teaching, a deduction notebook convenient for students to use and carry can also be made. By referring to the style of the commonly used exercise book, the chessboard grid 1, the coordinate axis 2, the straight polar coordinate line 3 and the arc polar coordinate line 4 of the chessboard teaching aid are printed on the upper half of the exercise paper, and the lower half is left blank. The deduction notebook can also be used as a substitute game tool for students to take go and weiqi.

[0084] In order to cooperate with online teaching, the chessboard teaching aid of the utility model can also be electrified. Through the combination with the computer, the application program of the chessboard teaching aid is realized, so that the chessboard teaching aid can be presented on the screen, and diversified teaching is realized.

[0085] It should be noted that the various specific technical features described in the above detailed description can be combined in any suitable manner, as long as they do not contradict each other, and in order to avoid unnecessary repetition, the utility model will not describe various possible combinations again.

[0086] In addition, various different embodiments of the utility model can also be combined arbitrarily, as long as they do not deviate from the idea of the utility model, and they should also be considered as disclosed by the utility model.

Claims

1. A board game teaching aid, characterized in that, The chessboard teaching aid comprises a chessboard grid (1) and a coordinate axis (2) arranged on the chessboard grid (1), the chessboard grid (1) comprises an odd number of vertical and equidistantly distributed horizontal lines (12) and vertical lines (13), the length and the number of lines of the horizontal lines (12) and the vertical lines (13) are equal, the intersection point of the horizontal line (12) and the vertical line (13) located at the center of the chessboard grid (1) is the celestial element (11), the coordinate origin of the coordinate axis (2) coincides with the celestial element (11), and the axis of the coordinate axis (2) coincides with the horizontal line (12) and the vertical line (13) located at the center.

2. The board game teaching aid of claim 1, wherein, The coordinate axis (2) comprises an x-axis and a y-axis which are perpendicular to each other, the x-axis and the y-axis form a right-angle coordinate axis, the celestial element (11) is the coordinate origin of the right-angle coordinate axis, the celestial element (11) extends along the x-axis and coincides with the x-axis to form a limit coordinate axis, and the celestial element (11) is the pole point of the limit coordinate axis.

3. The board game teaching aid of claim 2, wherein, The horizontal lines (12) and the vertical lines (13) located at both ends of the chessboard grid (1) form an outer frame (14) through intersection, the horizontal lines (12) and the vertical lines (13) located at the center of the chessboard grid (1) form an inner axis through intersection, the outer frame (14) or the inner axis is provided with numbers, and positive numbers and negative numbers are arranged along the direction of the coordinate axis (2) with the intersection point of the inner axis as the origin.

4. The board game teaching aid of claim 3, wherein, The chessboard grid (1) adopts a go board, the go board comprises nineteen horizontal lines (12) and nineteen vertical lines (13), and the horizontal line (12) and the vertical line (13) located at the center of the go board coincide with the coordinate axis (2).

5. The board game teaching aid of claim 4, wherein, The chessboard teaching aid comprises straight polar coordinate lines (3), and the diagonal line of the outer frame (14) is the straight polar coordinate line (3).

6. The board game teaching aid of claim 5, wherein, The chessboard teaching aid comprises arc polar coordinate lines (4), and the circular arc with the distance from the celestial element (11) to the intersection point of any horizontal line (12) and vertical line (13) as the radius is the arc polar coordinate line (4).

7. The board game teaching aid of claim 4, wherein, The chessboard teaching aid comprises chess pieces, the chess pieces comprise black pieces (61), white pieces (62) and gray pieces, the gray pieces comprise first gray pieces (63), second gray pieces (64) and third gray pieces (65), and the three types of gray pieces are distinguished by different marks.

8. The board game teaching aid of claim 7, wherein, The first gray pieces (63), the third gray pieces (65), the black pieces (61) and the white pieces (62) have the same inner diameter, and the inner diameter of the second gray pieces (64) is smaller than that of the black pieces (61).

9. The board game teaching aid of claim 3, wherein, The chessboard teaching aid further comprises a ruler (7), and the scale of the ruler (7) is matched with the scale of the chessboard grid (1).

10. The board game teaching aid of claim 3, wherein, The chessboard grid (1) adopts coordinate paper (8) or a chessboard (9).

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