KR101425346B1 - An instrument for learning diagram - Google Patents

Abstract

The present invention comprises a rectangular bottom plate 11, a frame 12 surrounding the periphery of the bottom plate 11, and a transparent top plate 13 spaced apart in parallel with the bottom plate 11, A body 1; A plurality of partition walls 13 formed vertically between the bottom plate 11 and the top plate 13 so as to partition the sealing space of the body 1 into a plurality of polygonal spaces A, B, C, D and A ' 14, 15, 16); A fluid W filled in a part of the polygonal spaces A, B, C, D and A '; The polygonal space in which the fluid W is filled is formed with passages P1, P2, P3 and P4 in the partition so that another adjacent polygonal space and the fluid W can move, The fluid W is moved from one polygonal space to the other polygonal space through the passageway and filled to recognize the ratio of the areas of the polygonal spaces A, B, C, D, A ' .

Description

An instrument for learning diagram

[0001] The present invention relates to a teaching aid for figure learning, and in particular, it is possible to visually recognize the types and characteristics of various types of figures and the method (principle) of calculating the area (area) The present invention relates to a teaching aid for figure learning that makes understanding easier and more enjoyable.

In general, many mathematical teaching materials have been developed so that students can learn mathematical knowledge easily while playing. These parishes have many parishes for kindergarten students, but many parishes for elementary and secondary students are also being produced.

However, among these parishes, there was not a diverse range of mathematical teaching paraphrase that informed while carrying, carrying and playing with small volume.

In particular, in the case of elementary and secondary students, the volume of the parish is so large that it is often developed and installed for classroom learning for many students rather than for personal use. In other words, there was no parish that would be useful for math learning although it could be kept in the home for the individual or family.

SUMMARY OF THE INVENTION The present invention has been made to solve the above-mentioned problems, and an object of the present invention is to provide a method of calculating the area (area) of various types of figures, The purpose of this study is to provide diagonal teaching materials for visual learning of difficult and rigid mathematical principles (diagrammatic principle) more easily and funly.

In order to achieve the above-mentioned object, the present invention provides a body having a square bottom plate, a rim surrounding the perimeter of the bottom plate, and a transparent upper plate spaced parallel to the bottom plate to form a flat rectangular sealing space isolated from the outside ; A plurality of partition walls vertically formed between the bottom plate and the upper plate so as to partition the sealing space of the body into a plurality of polygonal spaces; A fluid filled to fill a part of the polygonal space or to be filled by a multiple of a half as much as one-third or one-third of the area of each polygonal space; And the like.

In the diagonal learning diagonal according to an embodiment of the present invention, a passage is formed in the diaphragm such that another polygonal space and the fluid body can be moved adjacent to the polygonal space filled with the liquid, and the diagonal is tilted at various angles, It is possible to recognize the ratio of the area of each polygonal space having different appearance to that of the other polygonal space.

In the preferred embodiment of the present invention, the fluid is filled in half of the polygonal space, and the center of gravity of the polygon (a line connecting bisecting points of the opposite sides of the three corners) is printed on the bottom plate surface of the polygonal space filled with the fluid So that it is possible to recognize that the horizontal lines formed by the fluid are aligned with the respective center-of-gravity lines by tilting the diagonal at various angles.

In the present invention, the fluid may consist of a liquid or a solid ball which can pass through the passage formed in the partition, and the liquid is made of a visible colored liquid.

In the present invention, the plurality of polygonal spaces may be any combination of at least one of a right angle triangle, an acute angle triangle, an obtuse triangle, an isosceles triangle, and a trapezoid, Of the total number of users.

In the preferred embodiment of the present invention, the passage is formed such that the fluid flows in opposite directions on opposite sides of the partition, so that when the diagonal is tilted in one direction, the fluid rapidly flows into the lower space through the lower passage And the air in the lower space can be introduced into the upper space through the upper passage so that the flow of the fluid can be smoothly performed.

In the preferred embodiment of the present invention, the angle of the apex angle of each polygonal space and the length of the side are printed on the surface of the bottom plate, and the length of the side formed by the rim is divided into unit lengths, In the case of Pythagorean theorem, it is printed with the formula of the square root of the base + square of the height = square of the bevel, and in the case of the remaining isosceles triangle or acute angle or obtuse angle triangle,

In a preferred embodiment of the present invention, an equal line dividing the bottom area of each polygonal space into two equal parts or three equal parts is printed on the surface of the bottom plate so that the area ratio with the adjacent space is visually Make sure you can recognize it correctly.

The diagonal learning teaching pad of the present invention is characterized in that the diagonal teaching diagonal of the present invention is composed of three types of triangles ranging from children who do not have basic knowledge of the figure to adults and adults, the relationship between the six elements of the triangles such as the length angles of the sides of the triangles, And the relationship with the triangle is not easily involved in the difficult mathematics curriculum, it is easy to understand when you play with the diocese in everyday life. Therefore, those who avoid mathematics learning due to the side effects of the injection mathematics education, It is possible to make the user feel that he / she can feel it.

1 is a perspective view of a teaching aid for figure learning according to a first embodiment of the present invention,
Fig. 2 is an exploded perspective view of the diagonal shown in Fig. 1,
Figure 3 is a front view of the diagonal shown in Figure 1,
4 shows a state in which a right triangle is filled with a fluid,
5 shows a state in which a fluid is filled in an obtuse triangle,
FIG. 6 shows a state in which an isosceles triangle is filled with a fluid,
7 shows a state in which another obtuse triangle is filled with fluid,
Fig. 8 is a front view of a diagonal learning teaching pad according to a second embodiment of the present invention; Fig.
FIG. 9 is a graph showing the use state of the diagonal shown in FIG. 8,
Fig. 10 is a perspective view of a diagonal teaching figure according to a third embodiment of the present invention, Fig.
11 is a graph showing the use state of the diagonal shown in Fig. 10,
Fig. 12 is a perspective view of a diagonal teaching figure according to a fourth embodiment of the present invention, Fig.
13 is a state of use of the diagonal shown in Fig.

Hereinafter, preferred embodiments of the present invention will be described in detail with reference to the accompanying drawings.

Figs. 1 to 3 show a disassembled and assembled state and a front view of a graphic teaching diopter according to a first embodiment of the present invention, respectively.

1 to 3, the diagonal body 1 of the present embodiment includes a rectangular bottom plate 10, a frame 11 surrounding the periphery of the bottom plate 10, and a frame 11 parallel to the bottom plate 10 A, B, C, D, A (A, B, C, D, A) are formed by a plurality of partitions (13, 14, 15, 16) The polygonal spaces A, B, C, and D filled with the fluid W are filled in the divided polygonal spaces A, B, C and D, The passages P1 and P2 are formed in the partition walls 13 and 15 between the polygonal space A and the polygonal space B and between the polygonal void C and the polygonal space D so that the space and the fluid W can move. B, C and D by forming the diagonal 1 with the hand as shown in FIGS. 4 to 7 and tilting the diagonal at various angles, From It is possible to recognize the ratio of the areas of the polygonal spaces A, B, C, and D or the ratio of the areas easily while filling the other polygonal space.

In this embodiment, the diagonal body 1 comprises a lower body 1a composed of a bottom plate 10 and a rim 11 and an upper body 1b composed of an upper plate 12 and a rim 11, And the partition walls 13, 14, 15, and 16 are also formed in the inner side of the upper and lower bodies by a half height, respectively, so that the inner space is partitioned into a plurality of polygonal spaces The present invention is not limited to this, and it is needless to say that the diagonal body 1 may be formed into a bottom plate, an upper plate and a frame respectively, or a structure in which only the bottom plate or the upper plate is separately manufactured and joined.

In the present invention, since the fluid W and the polygonal spaces A, A ', B, C, and D actually form a three-dimensional space having a thickness, it means a volume in a strict sense. However, It is possible to confirm the matching of the area or the area ratio through the spatial movement of the fluid W.

Reference numerals I1 and I2 designate injection ports for injecting the fluid W into the polygonal spaces A, B, C and D, and after the fluid is injected, the fluid is sealed so as to prevent the fluid from leaking to the outside do.

Reference numeral 20 in the drawings denotes a sticker attached to the bottom surface of the bottom plate 10. The sticker sheet 20 is provided with the polygonal spaces A, B, C, D and A ' 1, the length of the side formed by the rim 10 is divided by a unit length (3 cm) and is indicated by a scale and a numeral. The length of the side formed by the partitions 13, 14, 15, And the other isosceles triangles or obtuse triangles are printed according to the theorem of Pythagoras, and the sticker 20 and the sticker 20 are printed by the formula of the square of the base + the square of the height = the square of the angle of bevel according to the Pythagorean theorem. ) Will be described as follows.

First, the upper surface of the printing sticker 20 is an adhesive surface and is a printing surface, and angles and lengths of sides of the spaces A, B, C, D and A 'are printed. , But the principle of the figure is that the sum of the angles of the triangles is 180 °, the sum of the angles of the parallelograms, and so on, as well as the description of the angle of the apex angle, angle of declination, diagonal angle and straight line angle formed by two parallel lines and one straight line. Mathematical expressions and mathematical principles for mathematical theories that can be learned in the parish of the invention are printed.

In the diagonal learning utensil according to the present embodiment, the bottom plate 10 is 9 x 12 cm each in width and height, and the height (thickness) between the upper plate 12 and the bottom plate 10 is approximately A, B ', C', D ', and A' forming the space are all triangular, and the spaces A and A ' (B) and (C) are obtuse triangles, and space D is an isosceles triangle.

이 되고, 공간(A.A')의 면적은 각각 가로×세로×1/2로 3×9×1/2=13.5㎠이다.In other words, the spaces A and A 'forming the right triangle are 3 cm in width and 9 cm in length, and the internal angles are at right angles (90 °), 70 ° and 20 °, By Pythagorean Theorem

, And the area of the space (A.A ') is 3 x 9 x 1/2 = 13.5 cm 2 in width x length x 1/2.

cm,

cm임을 파악할 수 있고, 이 공간(B,C)은 회전대칭을 이루며, 면적도 동일한데, 이 공간(B,C)의 면적은 각각 밑변×높이×1/2로 6×9×1/2=27㎠이고, 상기 공간(B,C)의 내각은 각각 110°,45°, 25°이다.In addition, the spaces B and C forming the obtuse-angled triangle have a length of 3 sides of 6 cm,

cm,

cm. The spaces B and C are rotationally symmetric and have the same area. The areas of the spaces B and C are 6 × 9 × 1/2 = 27 cm 2, and the internal angles of the spaces B and C are 110 °, 45 °, and 25 °, respectively.

This is because the space A and the space B have an internal area ratio of 1: 2 because the height is the same and the length of the base is twice. An equal part line L1 is formed in the space B so as to divide the space B into two equal parts so that it can be confirmed by moving the space B. The two spaces partitioned by the equal division line L1 have the same area as the line connecting the vertexes at the base and the opposing vertexes so that the diaphragm is tilted as shown in FIG. If the liquid W is moved to the space B by moving the liquid W at a different angle as shown in FIG. 5, the liquid W is aligned with the equal line L1, It can be recognized that the area ratio of the space A to the space B is 1: 2, It is easy to learn the principle and the formula for obtaining the area of the area.

In the present invention, when the spaces B and C are combined, a parallelogram is formed. The area of the parallelogram is 6 cm × 9 cm = 54 cm 2, Lt; 2 >

Therefore, by using the diagonal of the present embodiment, not only the area of the triangle but also the formula and principle for obtaining the area of the parallelogram can be easily learned.

Meanwhile, since the space C has the same shape as the space B, the overlapping description will be omitted.

이 되고, 공간(D)의 면적은 각각 밑변×높이로 6cm×9cm=54㎠로 상기 둔각 삼각형태의 공간(B,C)과 동일한 면적을 이루는데, 이는 도 6에 도시된 바와 같이 교구를 기울여 유동체(W)를 공간(D)으로 이동시키면 충만하게 되고, 도 7에 도시된 바와 같이 교구를 다른 각도로 기울여 유동체(W)를 공간(C)으로 이동시키면 유동체(W)가 공간(C)에 역시 충만하게 되므로 공간(C)과 공간(D)의 면적이 동일하다는 것을 인지할 수 있게 되면서 밑변의 길이가 같고 높이가 같은 삼각형인 경우에는 어떠한 각도를 이루더라도 면적은 동일하다는 것을 아주 쉽게 체득할 수 있으며, 둔각 삼각형 및 이등변 삼각형의 면적을 구하는 원리와 공식을 쉽게 터득할 수 있게 된다.The space D is an isosceles triangle having a base length of 6 cm and a height of 9 cm. The interior angles are 40 °, 70 ° and 70 °, respectively. The hypotenuse, that is, the lengths of the partition walls 15 and 16, By

, And the area of the space D has the same area as the obtuse-angled triangles B and C with a base width x height of 6 cm x 9 cm = 54 cm 2, as shown in Fig. 6, 7, the liquid W is moved to the space C by moving the liquid W to the space C by tilting the diagonal at different angles as shown in FIG. 7, It can be recognized that the areas of the space C and the space D are equal to each other so that it is very easy to see that the area is the same regardless of the angle of the triangle having the same length of the base and the same height And it is easy to learn the principle and formula for obtaining the area of obtuse and isosceles triangles.

In addition, it is easy to grasp the shape difference between the space A 'forming the right triangle and the space D forming the isosceles triangle, and the area ratio can be easily grasped.

In the diagonal of the present invention, the concepts of the angle of the apex angle, the angle of diagonal angle and the angle of straight line can be easily obtained. The angles formed by the edges of the respective polygonal figures are printed, And the concept of the angle of inclination is the same as that of the angle of the same position and the concept of the angle of straight line is 180 ° have.

8 and 9 illustrate a teaching figure for teaching figure learning according to another embodiment of the present invention. Basically, the teaching figure teaching figure according to this embodiment is basically the same as that of the first embodiment, except that the space is divided into seven polygonal spaces (E, F, G, H, I, J, K).

The diagonal of the present embodiment is designed so that the center of gravity of the triangle and the area of the midline for locating the center of gravity can be easily compared. The diagonal of this embodiment is 20 cm long and 15 cm long, and the inner rectangular space 14, 15, 16, and 17 partitioned by polygonal spaces (E, F, G, H, I, J, and K) formed of a plurality of small triangles are formed. 14, and 15 extend straightly toward the left end, middle end, and right end of the lower side of the horizontal lower end at positions separated by 5 cm from the right end quarter of the frame at the upper end of the horizontal upper end, And 17 are formed on three intermediate lines for finding the center of gravity of the acute angle triangle formed by the rims of the partition walls 13 and 15 and the lower side edge, that is, line segments each having an intermediate point and one vertex. ) Of the partition walls 13 at the lower right corner And the barrier rib 17 is formed so as to cross the center of the barrier rib 15 at the lower left corner and does not extend into the triangular space G formed by the barrier ribs 14, Only the center of gravity is formed.

In the present embodiment, the passages P1, P2, P3 and P4 are formed in the partition walls 17 and 16 partitioning the spaces I and J and the spaces K and G, J, K, G) is filled with a fluid W filled in an amount such that the amount of the fluid W is either one of I, J, and K.

In the figure, reference numeral L2 is an equally divided line bisecting the area of the space G, and the equal line L2 is formed on an extension of the partition wall 17. [

In the diagonal of the embodiment shown in Figs. 8 and 9, the sticker is not shown. However, it is needless to say that, in this embodiment, it is also possible to print the angle of the triangular figure formed by each space on the bottom surface of the bottom plate, .

9, the spaces F, G, I, J, and K partitioned by the three middle lines and the equi-dividing lines L2 forming the center of gravity of the triangle are tilted It is easy to visually recognize that the width of the triangle is divided into six equal parts. That is, it can be confirmed that the area of the space I is equal to the area of the space J and the area of the space K is 1/2 of the area of the space G.

Figs. 10 and 11 show diagrams for figure learning according to the third embodiment of the present invention. In this embodiment, the figure learning diadem according to the present embodiment basically includes the diagonal elements of the diagonal of the first embodiment or the second embodiment But there is a difference in that the space is divided into four polygonal spaces (L, M, N, O).

The diagonal (1) of this embodiment is for learning the central connecting theorem of triangles. The diagonal (1) of this embodiment is 20 cm in width and 15 cm in height, and the inside rectangular space is divided into three triangular and trapezoidal polygonal 14 and 15 partitioned by spaces L, M, N, and O are formed. First, the two partition walls 13 and 14 are located at the right quarter of the frame, And the other one of the partition walls 15 is formed as a line segment connecting the midpoints that divide the partition walls 13 and 14 into two halves respectively do.

In the present embodiment, the passages P1 and P2 are formed in the partition 15 partitioning the spaces M and O, and the space M is filled with the fluid W. [

Although not shown in the diagonal of the present embodiment, it is a matter of course that, in this embodiment, it is also possible to print the angles of corners and the length of sides of the figure formed by the spaces on the bottom surface of the bottom plate, (L3, L4) are formed at the middle of the lower edge of the horizontal line at both ends of the upper surface (15).

11, the diagonal of the triangle space M can be easily visually grasped to be three times as large as the area of the triangular space M and the area of the trapezoidal space O as shown in FIG. 11, ), The partition walls (13, 14), and the triangle formed by the lower side frame resemble each other.

Figs. 12 and 13 show diagrams for learning graphs according to a fourth embodiment of the present invention. The diagonal of this embodiment is for learning about the principle of obtaining the center of gravity of a triangle, and the second and third In the same manner as the parabola of the embodiment, two partition walls 13 and 14 are formed to have a size of 20 cm in width and 15 cm in height and partition the inside rectangular space into three triangular spaces P, Q and R, The partition walls 13 and 14 extend straightly toward the left end and the right end of the lower side in a position separated by 5 cm from the right side 1/4 point of the frame at the upper side of the horizontal direction and are formed by two right triangles and one acute triangle (P, Q, R).

In addition, three equally divided lines L5, L6 and L7, that is, a middle line are formed in the space Q formed by the acute-angled triangle. In this space Q, .

Although not shown in the diagonal of the present embodiment, it is needless to say that, in this embodiment, the angle of the vertex of the figure formed by each space on the bottom surface of the bottom plate, the length of the sides, and the like can be printed.

In the diagonal of this embodiment configured as described above, the diagonal lines of the triangular space Q are inclined by tilting the diagonal, as shown in Fig. 13, Q) is the center of gravity.

1: Diagonal body
10: bottom plate
11: Border
12: Top plate
13, 14, 15, 16, 17:
A, A'B, C, D, E to O, P, Q, R: polygonal space
L1 to L7:
W: Fluid
P1, P2, P3, P4: passage

Claims (8)

A body 1 having a rectangular bottom plate 10 and a frame 11 surrounding the periphery of the bottom plate and a transparent upper plate 12 spaced apart in parallel with the bottom plate 10 to form a sealed space isolated from the outside );
A plurality of partition walls 13 vertically formed between the bottom plate 10 and the top plate 12 so as to divide the sealing space of the body 1 into a plurality of polygonal spaces A, B, C, D and A ' 14, 15, 16);
A fluid W filled in a part of the polygonal spaces A, B, C, D and A '; And a teaching pendant. The method according to claim 1,
The polygonal space in which the fluid W is filled is formed with passages P1, P2, P3 and P4 at the diaphragm so that the adjacent polygonal spaces and the fluid W can move, W) are moved from one polygonal space to the other polygonal space through the passageway and are filled, thereby recognizing the ratio of the areas of the polygonal spaces A, B, C, D, A ' Feature teaching paradigm with features. The method according to claim 1,
The fluid body W is filled in half of the polygonal space, and the bottom center of the polygonal space filled with the fluid is printed with the center of gravity of the polygon (three lines connecting the vertex and the middle of the line segment) So that it is possible to recognize that the horizontal lines formed by the fluid body W coincide with the respective center-of-gravity lines. The method of claim 2,
Wherein the fluid W is a liquid or solid ball which can pass through the passages P1, P2, P3 and P4. The method of claim 2,
Wherein the polygonal spaces A, B, C, D, and A 'are formed of any combination of at least one of a right triangle, an acute triangle, an obtuse triangle, an isosceles triangle, and a trapezoid. delete The method according to claim 1,
Wherein a vertex angle and a side length of each of the polygonal spaces are printed on the bottom plate (10). The method according to claim 1,
(L1 to L7) for equally dividing the floor area of the polygonal space are printed on the bottom plate (10).

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