KR20160049268A - Mathematics educational tools using circle figure puzzle - Google Patents

Mathematics educational tools using circle figure puzzle Download PDF

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Publication number
KR20160049268A
KR20160049268A KR1020140146093A KR20140146093A KR20160049268A KR 20160049268 A KR20160049268 A KR 20160049268A KR 1020140146093 A KR1020140146093 A KR 1020140146093A KR 20140146093 A KR20140146093 A KR 20140146093A KR 20160049268 A KR20160049268 A KR 20160049268A
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South Korea
Prior art keywords
puzzle
square body
horizontal line
vertical line
square
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KR1020140146093A
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Korean (ko)
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이영로
이진
이서림
이윤도
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이영로
이서림
이진
이윤도
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Priority to KR1020140146093A priority Critical patent/KR20160049268A/en
Publication of KR20160049268A publication Critical patent/KR20160049268A/en

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    • G—PHYSICS
    • G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • G09B1/00—Manually or mechanically operated educational appliances using elements forming, or bearing, symbols, signs, pictures, or the like which are arranged or adapted to be arranged in one or more particular ways
    • G09B1/02—Manually or mechanically operated educational appliances using elements forming, or bearing, symbols, signs, pictures, or the like which are arranged or adapted to be arranged in one or more particular ways and having a support carrying or adapted to carry the elements
    • G09B1/16—Manually or mechanically operated educational appliances using elements forming, or bearing, symbols, signs, pictures, or the like which are arranged or adapted to be arranged in one or more particular ways and having a support carrying or adapted to carry the elements the elements each bearing a plurality of different symbols, signs, or combinations of symbols and signs, only one symbol, sign, or combination thereof, of each element to be used at a time
    • G—PHYSICS
    • G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
    • G—PHYSICS
    • G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
    • G09B23/02—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics
    • G09B23/04—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics for geometry, trigonometry, projection or perspective

Abstract

The present invention relates to a math learning tool using a circular figure puzzle which enables diverse learning activities associated with math including areas, symmetries, similarities, congruences, etc. of figures using a figure puzzle formed in a circular shape. A math learning tool using a circular figure puzzle according to the present invention includes: a taegeuk (yin-yang) figure puzzle (10) in which twelve or more puzzle pieces are formed by dividing a square body (11) with a predetermined size into four areas with the same size using a central horizontal line (12) and a vertical line (13), dividing the square body (11) into a circle (15) inscribed in the square body (11), and dividing the square body (11) into four semicircles (16) having a diameter ranging from a central point (C) at which the horizontal line (12) and the vertical line (13) intersect to points at which the horizontal line (12) and the vertical line (13) cross respective corners of the square body (11); and a leaf figure puzzle (20) in which twelve or more puzzle pieces are formed by dividing a square body (21) with a predetermined size into four areas with the same size using a central horizontal line (22) and a central vertical line (23), dividing the square body (21) into four diagonal lines (24) connecting each point at which the horizontal line (22) and the vertical line (23) cross respective corners of the square body (21), and dividing the square body (21) into a circle (25) inscribed in the square body (21). Accordingly, a math learning tool using a circular figure puzzle according to the present invention is provided to learn various math concepts including areas, symmetries, similarities, congruences, etc. of figures using one puzzle set.

Description

{MATHEMATICS EDUCATIONAL TOOLS USING CIRCLE FIGURE PUZZLE}

The present invention relates to a mathematical learning paradigm using a circular puzzle, and more particularly, to a circular puzzle mathematical learning paradigm capable of carrying out various learning related to mathematics such as the width, symmetry, .

A puzzle is a problem or playground designed to solve intellectual content, such as a mystery or a problem, such as a crossword puzzle, a jigsaw puzzle, a jigsaw puzzle, There are various kinds of puzzles. These puzzles are used primarily for infant learning, and children can learn fun, creativity, and knowledge through fun puzzles.

In recent years, a variety of intellectual abilities have been improved through the process of assembling them using a sculptural figure. As such a shape puzzle, a quill play puzzle or a tenpin play puzzle is often used. The seven puzzle play puzzles are made by assembling seven large and small triangle blocks and square blocks to form specific object shapes. In the case of a ten-puzzle play puzzle, ten different large and small triangles and rectangular blocks are used to make various types of objects So that it can be assembled and learned.

However, since learning using these figure puzzles is used to combine them into specific object forms, it is difficult to use them to learn various mathematical concepts such as the width, symmetry, resemblance, and joint of the figure.

Korean Registered Patent No. 10-0475483 (registered on Feb. 28, 2005)

SUMMARY OF THE INVENTION The present invention has been made in order to solve the above problems of the prior art, and an object of the present invention is to provide a puzzle game which can learn various mathematical concepts such as the width, symmetry, The shape puzzle is to provide a mathematics learning parish.

According to an aspect of the present invention, there is provided a circular puzzle mathematical learning paradigm, comprising: a square body having a predetermined size divided into four regions having the same size as a central horizontal line and a vertical line; a square body And a square body is divided into four semicircles each having a center point at which the horizontal line and the vertical line meet and a point at which the horizontal line and the vertical line meet each corner of the square body as a diameter and 12 or more puzzle pieces are formed, .

Here, the four semicircles dividing the square body are formed so as to rotate in one direction with respect to the center point where the horizontal line and the vertical line meet, so as not to overlap each other.

The four semicircles dividing the square body are preferably formed in a shape that rotates clockwise with respect to a center point where the horizontal line and the vertical line meet.

Meanwhile, the circular puzzle mathematical learning paradigm according to the present invention divides a square body having a predetermined size into four regions having the same size as a central horizontal line and a vertical line, and a point where the horizontal line and the vertical line meet each corner of the square body And a leaf figure puzzle in which at least 12 puzzle pieces are formed by dividing a square body into four diagonally connected square bodies and dividing the square body into circles which are in contact with the square body.

In addition, four arcs each formed in the inward direction so as to be symmetrical with the arc formed toward the outside of the vertex direction of the square body with respect to four diagonal lines connecting the points where the horizontal line and the vertical line meet the respective corners of the square body, The square body is divided to form 16 or more puzzle pieces.

Here, it is preferable that the figure puzzle formed by dividing the square body has a different color in whole or in part.

On the other hand, a leaf figure puzzle is formed on one side of the Tai Chi figure puzzle to form a figure puzzle learning parish.

The circular shape puzzle mathematical learning paradigm according to the present invention can learn various mathematical concepts such as the width, symmetry, resemblance, and joint of a figure by using each puzzle piece of a taekwondo puzzle and a leaf figure puzzle. And thus it is possible to improve various mathematical thinking skills.

FIG. 1 is a diagram showing a whole combined state of a circular figure puzzle mathematical learning parabola according to the present invention,
FIG. 2 is a detailed block diagram of a Tai Chi figure puzzle according to the present invention,
FIG. 3 is a detailed configuration diagram of a leaf figure puzzle according to the present invention,
FIG. 4 is a view showing an example in which the color of the Taekwondo puzzle according to the present invention is variously formed,
FIG. 5 illustrates various examples of moving the pieces of the Taijak figure puzzle according to the present invention and learning the width, symmetry, resemblance and joint of the figure,
FIG. 6 shows an example in which the colors of the leaf figure puzzle according to the present invention are variously formed,
FIG. 7 shows various examples in which the pieces of the leaf figure puzzle according to the present invention are moved to learn the width, symmetry, resemblance, and joint of the figure.

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

FIG. 1 is a diagram showing an entire combination state of a circular figure puzzle mathematical learning paranoid according to an embodiment of the present invention.

As shown in FIG. 1, a circular figure puzzle mathematical learning paranoid according to an embodiment of the present invention has a circular figure formed in two square bodies 11 and 21 each having a predetermined size, It is provided to learn various mathematical concepts such as the width, symmetry, resemblance and joint of figures by using incised figure puzzle pieces by cutting them into various size puzzle pieces.

In the embodiment of the present invention, a puzzle-type figure puzzle (hereinafter abbreviated as "Tai-Puzzle figure puzzle") 10 is formed on one side of the square body 11 of the circular puzzle mathematics learning diagonal, (Hereinafter, abbreviated as "leaf-like figure puzzle") 20 is formed in the leaf shape puzzle 20 and the learner can learn various mathematical concepts using the taekwondo puzzle 10 and the leaf figure puzzle 20 .

FIG. 2 is a detailed block diagram of a Tai Chi figure puzzle according to an embodiment of the present invention.

As shown in FIGS. 1 and 2, the UGG puzzle 10 includes a square body 11 having a predetermined size divided into a central horizontal line 12 and a vertical line 13, And the square body 11 is divided into a circle 15 which is in contact with the square body 11. The center point C of the circle 15 which is in contact with the square body 11 is a point where the horizontal line 12 and the vertical line 13 meet.

The center point C at which the horizontal line 12 and the vertical line 13 meet and the four semicircular points at which the horizontal line 12 and the vertical line 13 meet the respective corners of the square body 11, The square body 11 is divided into two parts 16. The four semicircles 16 dividing the square body 11 are formed in the shape of a teak pole which rotates in one direction with respect to the center point C so as not to overlap with each other. In the embodiment of the present invention, The four semicircles 16 dividing the center line C are formed in a shape that rotates in the clockwise direction with respect to the center point C where the horizontal line 12 and the vertical line 13 meet.

As described above, when the square body 11 is divided through the horizontal line 12, the vertical line 13, the circle 15, and the half circle 16, twelve figure puzzle pieces are formed. It is preferable that the figure puzzle pieces formed by division are formed in different colors or in different parts so that it is possible to identify where the pieces are separated during the learning of the area of the figure, the symmetry, the similarity and the joint.

3 is a detailed block diagram of a leaf figure puzzle according to an embodiment of the present invention.

1 and 3, the leaf figure puzzle 20 formed at one side of the Tai Chi figure puzzle 10 has a square body 21 having a predetermined size and a center horizontal line 22 and a vertical line 23, And divided into four square regions (small rectangles) having the same size, and the square body 21 is divided into a circle 25 which is in contact with the square body 21. The center point C of the circle 25 which is in contact with the square body 21 is a point where the horizontal line 22 and the vertical line 23 meet.

The square body 21 is divided into four diagonal lines 24 connecting the points where the horizontal line 22 and the vertical line 23 meet the respective corners of the square body 21. The circle 25 that is in contact with the square body 21 when the square body 21 is divided by the rectilinear section 24 is curved toward the outside of the vertex direction of the square body 21 with respect to the diagonal line 24, . In the embodiment of the present invention, arcs 26 oriented toward the center point C are formed so as to be symmetrical with arcs (ARC) formed toward the outside of the vertex direction of the square body 21 with respect to these four diagonal lines 24 So that the square body 21 is divided.

Thus, when the square body 21 is divided through the horizontal line 22, the vertical line 23, the circle 25, the diagonal line 24 and the arc 26, 16 pieces of figure puzzle pieces are formed. The shape puzzle pieces formed by dividing the puzzle pieces 21 are also formed separately or partly so as to be able to identify where the pieces are separated at the time of learning such as the width, symmetry, resemblance and joint of the figure.

Hereinafter, a process of performing mathematical learning through the circular shape puzzle mathematics learning diagonal having the above-described configuration will be described.

First, the process of learning the mathematical concept using the taekwondo puzzle 10 among the circular shape puzzle mathematics learning parabola according to the present invention will be described.

FIG. 4 shows an example in which the colors of the Tai Chi figure puzzle according to the embodiment of the present invention are variously formed. The square body 11 (large square) of the Tai Chi figure puzzle 10 has a width and a length of 16 cm Explain. The learner can learn the following various mathematical concepts through the Taijak figure puzzle (10).

[Large Rectangular Width]

Large square (square body) Width = width (16 cm) × length (16 cm) = 256 cm 2

[Small square width]

Small square (large square x 1/4) Width = width (8 cm) x height (8 cm) = 64 cm 2

[Large circle width]

Large circle width = radius (8 cm) x radius (8 cm) x 3.14 (pi) = 200.96 cm < 2 &

[Small circle width]

Small circle (two semicircles) Width = radius (4 cm) x radius (4 cm) x 3.14 (pi) = 50.24 cm <

[Small circle 1/2 width]

Small Circle 1/2 Area = Small Circle X 1/2 = 50.24 cm 2 (16π) x 1/2 = 25.12 cm 2 (8π)

[Large Circle 1/4 Width]

Large circle 1/4 wide = large circle x 1/4 = 200.96 cm 2 (64π) x 1/4 = 50.24 cm 2 (16π)

[Width of Tai Chi Tail]

Width of the tail pole = 1/4 of the large circle - 1/2 of the small circle = 50.24 cm 2 (16π) -25.12 cm 2 (8π) = 25.12 cm 2 (8π)

Here, the taekwondo tail is composed of a taekwondo puzzle

Figure pat00001
The width of this tail is calculated by subtracting 1/2 of a small circle from 1/4 of a large circle
Figure pat00002
). ≪ / RTI >

[Corner corner width]

Corner corner width = small rectangular width - large circle 1/4 width = 64 cm 2 -50.24 cm 2 (16π) = 13.76 cm 2 (64-16π)

Here, the corner corner means one yellow located at the outermost edge of FIG.

The area of each figure calculated through the above process is summarized in Table 1 below.

Figure pat00003

In addition to the learning of the area calculation, the puzzle game 10 of FIG. 4 can create various models of a new type while changing the position of each piece of puzzle. In this way, And joints. FIG. 5 shows various examples of learning the width, symmetry, resemblance and joint of the figure by moving pieces of the Taijak figure puzzle.

Next, a process of learning the mathematical concept using the leaf figure puzzle 20 among the circular figure puzzle mathematics learning diaries according to the present invention will be described.

FIG. 6 shows an example in which the color of the leaf figure puzzle according to the embodiment of the present invention is variously formed. The rectangular body 21 (large square) of the leaf figure puzzle 20 has a length of 16 cm Explain. The learner can learn various mathematical concepts through the leaf shape puzzle (20).

[Large Rectangular Width]

Large square (square body) Width = width (16 cm) × length (16 cm) = 256 cm 2

[Small square width]

Small square (large square x 1/4) Width = width (8 cm) x height (8 cm) = 64 cm 2

[Large circle width]

Large circle width = radius (8 cm) x radius (8 cm) x 3.14 (pi) = 200.96 cm < 2 &

[Large Circle 1/4 Width]

Large circle 1/4 wide = large circle x 1/4 = 200.96 cm 2 (64π) x 1/4 = 50.24 cm 2 (16π)

[Corner corner width]

Corner corner width = (large square width - large circle width) x 1/4 = 256 cm 2-200.96 cm 2 x 1/4 = 13.76 cm 2

Here, the corner corner means one yellow located at the outermost edge of FIG. 6, and the corner corner width becomes equal to one width of the center purple color.

therefore,

Figure pat00004
.

[Leaves 1/2 width]

Leaf half width = 1/4 of large circle - Triangle width = 50.24 cm 2 - (base (8 cm) × height (8 cm) × 1/2) = 50.24 cm 2 - 32 cm 2 = 18.24 cm 2

Here, the leaf 1/2 side means one green piece in Fig. 6, which corresponds to one piece of arcs.

therefore,

Figure pat00005
.

The width of each figure calculated through the above process is summarized in Table 2 below.

Figure pat00006

The leaf figure puzzle 20 shown in FIG. 6 can be used to create various models of a new shape while changing the position of each piece of puzzle in addition to learning of the area calculation. In this way, And joints. FIG. 7 shows various examples of learning the area, symmetry, resemblance, joint, and the like of a figure by moving a piece of the leaf figure puzzle.

As described above, the circular puzzle mathematical learning paradigm according to the present invention includes a horizontal line 12 and a vertical line 13 dividing the square body 11, a circle 15 in contact with the square body 11, The mathematical concepts such as circle, square, semicircle, etc., symmetry, resemblance and joint can be learned through the Tai Chi figure puzzle 10 which is divided through the semicircle 16 having sides of the diameter.

A horizontal line 22 and a vertical line 23 dividing the square body 21, a circle 25 in contact with the square body 21, a diagonal line 24 connecting the centers of the corners of the square body 21, The leaf shape puzzle 20 divided through the arc 26 formed symmetrically with respect to the diagonal line 24 can learn various widths, symmetry, resemblance, joint, and the like.

Although the taekwondo puzzle 10 and leaf-leaf puzzle 20 are separately used for mathematical learning in the above-described embodiment, the puzzle piece 10 of the taekwondo puzzle 10 and the puzzle piece 20 of the leaf- Can be used together for mathematical learning by mutual combination.

In other words, the Taekwondo figure puzzle 10 and the leaf-like puzzle 20 have a size and an area of the square bodies 11 and 21, a size of the circle 15 and 25 in contact with the square body 11, The size and the width of the small square in which the square bodies 11 and 21 are divided are equal to each other so that each piece of the puzzle pieces 10 and 20 of the leaf figure puzzle 20 moves It is natural to be able to learn the extent, symmetry, resemblance, and co-ordination.

It will be apparent to those skilled in the art that various modifications and variations can be made in the present invention without departing from the spirit or scope of the present invention as defined by the appended claims. And modifications and variations may be made therein.

10: Taijiquan figure puzzle 11: Square body
12: Horizontal line 13: Vertical line
15: Circle 16: Semicircle
20: Leaf shape puzzle 21: Square body
22: horizontal line 23: vertical line
24: diagonal 25: circle
26: Arc C: Center point

Claims (7)

As a mathematical learning paradigm using geometric puzzles,
The square body 11 having a predetermined size is divided into four regions of the same size by the central horizontal line 12 and the vertical line 13,
The square body 11 is divided into a circle 15 which is in contact with the square body 11,
Four semicircular planes 16 each having a center point C where the horizontal line 12 and the vertical line 13 meet and a point where the horizontal line 12 and the vertical line 13 meet respective corners of the square body 11, Wherein the square body (11) is divided into at least 12 pieces of puzzle pieces (10).
The method according to claim 1,
The four semicircles 16 dividing the square body 11 are formed so as to rotate in one direction with respect to the center point C where the horizontal line 12 and the vertical line 13 meet so as not to overlap each other Features a geometric puzzle math learning parish.
3. The method of claim 2,
Wherein four semicircles (16) dividing the square body (11) are formed so as to rotate in a clockwise direction with respect to a center point (C) at which the horizontal line (12) and the vertical line (13) meet. Learning parish.
As a mathematical learning paradigm using geometric puzzles,
A square body 21 having a predetermined size is divided into four regions of the same size by the central horizontal line 22 and the vertical line 23,
The square body 21 is divided into four diagonal lines 24 connecting the points where the horizontal line 22 and the vertical line 23 meet the respective corners of the square body 21,
And a leaf figure puzzle (20) in which a square body (21) is divided by a circle (25) in contact with the square body (21) to form 12 or more puzzle pieces. .
5. The method of claim 4,
A square formed by the four diagonal lines 24 connecting the points where the horizontal line 12 and the vertical line 13 meet the respective corners of the square body 21 is formed, Wherein the square body (21) is divided through four arcs (26) each formed in the inward direction so as to be symmetrical with respect to the square body (ARC), so that at least 16 puzzle pieces are formed.
6. The method according to any one of claims 1 to 5,
Wherein a figure puzzle formed by dividing the square bodies (11) and (21) is formed in a different color in whole or in part.
A leaf figure puzzle (20) of claim 4 or 5 is formed on one side of a Tai Chi figure puzzle (10) according to any one of claims 1 to 3 to form a figure puzzle learning parish A geometric puzzle math learning parish.
KR1020140146093A 2014-10-27 2014-10-27 Mathematics educational tools using circle figure puzzle KR20160049268A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112706555A (en) * 2019-10-24 2021-04-27 西利卡利亚有限公司 Cuttable cladding sheet with matching pattern, use thereof and method for producing same

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112706555A (en) * 2019-10-24 2021-04-27 西利卡利亚有限公司 Cuttable cladding sheet with matching pattern, use thereof and method for producing same

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