Multiplying abacus device

Abstract

The present invention relates to the technical field of multiplication learning tools, and provides a multiplication abacus device, comprising: a main body having a detachable result display area, the result display area having calculation result digits arranged in a matrix, the calculation result digits having numbers for displaying the calculation result; and a plurality of sliders arranged in a matrix, slidable horizontally and vertically upward on the main body and located above the calculation result digits, the sliders of adjacent M rows slide along the vertical direction, and the sliders of adjacent N columns slide along the horizontal direction, after which the sliders unblock one row of the calculation result digits and unblock one column of the calculation result digits, and the numbers of the crossed calculation result digits are the calculation result of M×N. The above technical solution solves the technical problem that learning multiplication in the prior art is not abstract and intuitive.

Description

[Technical field]

[0001] The present invention relates to the technical field of multiplication learning equipment, and in particular to a multiplication abacus device. [Background technology]

[0002] Multiplication is a shortcut to adding the same numbers. The result is called a product, where "x" is the multiplier symbol. Philosophically, multiplication is the result of a qualitative change caused by a quantitative change in addition. Multiplication of integers (including negative numbers), rational numbers (fractions), and real numbers is generalized and defined by this fundamentally defined system.

[0003] Multiplication is one of the four arithmetic operations and is a very important fundamental operation in arithmetic, which can be thought of as calculating the area of ​​a rectangle (integers) or finding a rectangle given the lengths of its sides. The area of ​​a rectangle is not determined by which side is measured first, which shows the commutative property. The product of two measurements is a new type of measurement, for example multiplying the lengths of both sides of a rectangle to get its area is the subject of dimensional analysis. Summary of the Invention [Problem to be solved by the invention]

[0004] The study of multiplication begins in elementary school, and for first and second graders, after learning addition and subtraction, they learn multiplication, which is very different from addition and subtraction, so it is difficult for them to become familiar with it immediately. Multiplication formulas are considered abstract and unintuitive for elementary school students, and although special cards with multiplication tables printed on them can help students remember, it is difficult for them to remember multiplication, and they can remember it by rote. Although it is true that they can remember it by rote, they can essentially understand it, so it is difficult for them to fundamentally understand other calculations based on multiplication once they have learned it, and they have no choice but to rely on rote memorization, which is detrimental to the construction of elementary school students' mathematical thinking.

[0005] The present invention provides a multiplication abacus device to solve the problem in the related art that learning multiplication using a multiplication table is abstract and unintuitive. [Means for solving the problem]

[0006] The technical solutions of the present invention are as follows:

[0007] A multiplying abacus device, comprising: a main body having a removable result display area, the result display area having calculation result digits arranged in a matrix, the calculation result digits having numbers for displaying the calculation result; a plurality of sliders arranged in a matrix, slidable above the main body in both horizontal and vertical directions, and positioned above the calculation result digits; The sliders of adjacent M rows slide along the vertical direction, and the sliders of adjacent N columns slide along the horizontal direction, after which the sliders unblock the calculation result digits of one row and unblock the calculation result digits of one column, and the number of the intersecting calculation result digits is the calculation result of M×N.

[0008] As a further technical solution, the main body further includes a line number display area, the line number display area includes one column of line number display digits, and the line number display digits include numbers for displaying line numbers; The main body further has a column number display area, the column number display area having one row of column number display digits, and the column number display digits have numbers for displaying the column numbers.

[0009] As a further technical solution, A horizontal bar is provided on the main body so that the sliders in each row can slide horizontally, and the horizontal bar is provided on the main body so that the sliders can slide vertically. The sliders in each row are further provided with a vertical bar that is slidably mounted on the main body in a horizontal direction, and the sliders in each row are slidably mounted on the vertical bar in a vertical direction.

[0010] As a further technical solution, A vertical guide rod is installed vertically on the body; A plurality of vertical slide sleeves are provided on the vertical guide rods so as to be vertically slidable, and the horizontal bars are provided corresponding to each of the vertical slide sleeves; A lateral guide rod is installed laterally on the body; The horizontal slide sleeves are arranged on the horizontal guide rods so as to be horizontally slidable, and each of the vertical bars is provided corresponding to the horizontal slide sleeves.

[0011] As a further technical solution, Each of the sliders has a lateral passage and a longitudinal passage, the lateral bar passing through the lateral passage and the longitudinal bar passing through the longitudinal passage; The horizontal passage and the vertical passage are perpendicular to each other such that the horizontal bar and the vertical bar are offset in steps on the slider.

[0012] As a further technical solution, the calculation result digits arranged in a matrix are a 9×9 matrix or a 10×10 matrix or a 19×19 matrix or a 20×20 matrix; The sliders arranged in a matrix are a 9×9 matrix, a 10×10 matrix, a 19×19 matrix, or a 20×20 matrix, And M and N are natural numbers.

[0013] As a further technical solution, When the sliders are arranged in a matrix of 19 x 19 or 20 x 20, spacers are provided between the sliders in the 11th column and the sliders in the 10th column, and between the sliders in the 11th row and the sliders in the 10th row, and the horizontal bars and vertical bars pass through the spacers.

[0014] As a further technical solution, when the calculation result digits arranged in a matrix are a 10×10 matrix, the sliders arranged in a matrix are a 10×10 matrix, and the numbers of the calculation result digits arranged in a matrix are displayed in the following order:

[0015]

number

[0016] As a further technical solution, when the calculation result digits arranged in a matrix are a 20×20 matrix, the sliders arranged in a matrix are a 20×20 matrix, and the numbers of the calculation result digits arranged in a matrix are displayed in the following order:

number

[0017] The working principle and beneficial effects of the present invention are as follows: 1. Able to intuitively show and calculate the product of two numbers. 2. It can penetrate two axes, horizontal and vertical, at the same time, and can slide in both horizontal and vertical directions of the tray. 3. The product of two numbers can be quickly calculated using the slide movement and the product matrix above the main calculation result. 4. With slider color settings and fixed commands, you can quickly calculate and show the product of any two numbers between 11 and 19. 5. Easy to operate and carry, and can help children better understand the concept of multiplication. 6. When students learn multiplication, this device can help them quickly understand the concept of multiplication and easily remember the corresponding products through the combined hand-brain mode, without the need for rote memorization, and they can easily understand and intuitively see what the products represent. 7. This device enhances reasoning when students are learning multiplication. If they remember that 6 x 7 = 42, but don't remember that 7 x 7 = ?, they will think about knocking out 7 beads in a row, which becomes 42 + 7 = 49. 8. Through repeated and systematic use of this device, students can develop their spatial thinking and mathematical modeling abilities and understand multiplication calculations in terms of "area". 9. This device breaks through the limitations of single-axis sliding in the overall structure, and initiates the application of two-axis controlled bead structure to numerical calculation teaching aids, saving space and enhancing students' learning interest at the same time. [Brief description of the drawings]

[0018] The present invention will be described in more detail below in combination with the drawings and specific embodiments. [Figure 1] FIG. 2 is a structural schematic diagram according to an embodiment of the present invention. [Diagram 2] FIG. 4 is a structural diagram of a result display area according to an embodiment of the present invention; [Diagram 3] FIG. 2 is a structural diagram of an embodiment of the present invention during calculation; [Figure 4] FIG. 4 is a structural schematic diagram according to another embodiment of the present invention. [Diagram 5] 1 is a structural perspective view according to an embodiment of the present invention; [Figure 6] FIG. 2 is a perspective view of the structure of a 4×6 calculation according to an embodiment of the present invention; [Figure 7] FIG. 2 is a perspective view of the structure of the result display area when closed according to an embodiment of the present invention; [Figure 8] FIG. 2 is a perspective view of the structure of a result display area when pulled out according to an embodiment of the present invention; DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

[0019] The following embodiments of the present invention are combined with the drawings to clearly and completely describe the technical solutions in the embodiments of the present invention, and the clearly and described embodiments are not all the embodiments but only some of the embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative work belong to the scope of protection of the present invention.

[0020] As shown in FIG. 1 to FIG. 4, the present embodiment provides a multiplication abacus device, A main body 1 having a removable result display area 101, the result display area 101 having calculation result digits 102 arranged in a matrix, the calculation result digits 102 having numbers for displaying calculation results; a plurality of sliders 2 arranged in a matrix, slidable above the main body 1 in both the horizontal and vertical directions, and positioned above the calculation result digits 102; The sliders 2 in adjacent M rows slide vertically, and the sliders 2 in adjacent N columns slide horizontally, after which the sliders 2 unblock one row of calculation result digits 102 and unblock one column of calculation result digits 102, and the number of the intersecting calculation result digits 102 is the calculation result of M×N.

[0021] In this embodiment, currently, when first and second graders learn multiplication, they have to memorize the multiplication formula cards, which is not only difficult but also difficult to understand thoroughly. Therefore, the inventors have continuously researched and designed a multiplication abacus device for primary school students, which allows them to intuitively see the multiplication result when learning multiplication, but also to operate it manually to deepen their impression and achieve a thorough intuitive understanding.

[0022] Specifically, the multiplication abacus device has a main body 1 for placing each component, which can be understood as an abacus plate, a removable result display area 101 is provided on the main body 1, the calculation result digits 102 arranged in a matrix on the area are the multiplication results, and many sliders 2 are designed above the area 101 to cover the calculation results so that the multiplication results cannot be seen at first, these sliders 2 can be understood as abacus beads, and are also arranged in a matrix, and can move horizontally and vertically, and usually, for ease of operation, it is preferable to move the entire row vertically and the entire column horizontally. For example, the sliders 2 of adjacent M rows move vertically downward and the sliders 2 of adjacent N columns move horizontally to the left, and then the sliders 2 uncover one row of the calculation result digits 102 and uncover one column of the calculation result digits 102, and the number of the crossed calculation result digits 102 is the calculation result of M×N. As an actual calculation example, the entire row is vertically moved down by 5 rows, and the entire column is moved left by 8 columns, and the slider 2 for moving down and left is a 5×8 matrix, so a row of numbers is exposed above the matrix, and a column of numbers is exposed to the right of the matrix, and the row number and the column number intersect with each other, and the intersecting number is the 5×8 calculation result, 40. Therefore, the multiplication abacus device of this embodiment can intuitively show the calculation, and the matrix at the bottom left of the calculation result is the principle of the multiplication result, and the calculation result can also be intuitively shown, and the whole process has an organic combination of the students' manual operation, process thinking, and intuitive result display, which has the effect of deepening understanding and memory, and can also be conveniently carried.

[0023] Furthermore, the main body 1 further includes a line number display area 103, the line number display area 103 includes one line number display column 104, and the line number display column 104 includes numbers for displaying line numbers, The main body 1 further has a column number display area 105, which has one row of column number display digits 106, which have numbers for displaying column numbers.

[0024] In this embodiment, in order to display the number of rows and the number of columns more intuitively, the row number display area 103 is specially designed, and a row of numbers to display the row number display digit 104 can be engraved or printed, and the column number display area 105 is designed, and a row of numbers to display the column number display digit 106 can be engraved or printed, so that before calculation, the user can quickly count where the number of rows to move and where the number of columns to move and where the number of columns to move can be quickly calculated, and even after the movement is completed, the user will not forget how many rows the number of rows has been moved and how many multiplications have been performed. Of course, the row number display digit 104 and the column number display digit 106 do not necessarily have to be printed in one column or one row, and two rows can be printed in two positions at the top and bottom of the main body 1, and two columns can be printed in the positions at both the left and right ends of the main body 1, making the movement and calculation more convenient.

[0025] Furthermore, the sliders 2 of each row are installed so as to be slidable in the horizontal direction, and each of them is installed so as to be slidable in the vertical direction on the main body 1. The sliders 2 in each row are arranged so as to be slidable in the vertical direction, and further include a vertical bar 4 arranged so as to be slidable in the horizontal direction on the main body 1.

[0026] In this embodiment, in order to easily realize the movement of the entire row and column of the sliders 2 arranged in a matrix, and to achieve quick operation and results, multiple horizontal bars 3 and multiple vertical bars 4 passing through the sliders 2 are specially designed, so that each horizontal bar 3 can move vertically at the same time with a row of sliders 2, and each slider 2 can be moved horizontally by one vertical bar 4, thereby realizing that one vertical bar 4 moves together with a column of sliders 2, making it possible for quick operation and calculation purposes, which is very easy for elementary school students to use and is more suitable for use by first and second graders than the related technology in which each slider 2 slides independently.

[0027] Furthermore, a vertical guide rod 5 is installed vertically on the main body 1; A plurality of vertical slide sleeves 6 are provided on the vertical guide rods 5 so as to be vertically slidable, and the horizontal rods 3 are provided correspondingly to each other; A lateral guide rod 7 is installed laterally on the main body 1; The horizontal guide rods 7 are provided with a plurality of horizontal slide sleeves 8 which are slidably mounted in the horizontal direction, and each of the vertical rods 4 is provided with a corresponding one of the horizontal slide sleeves 8 .

[0028] In this embodiment, in order to slide the slider 2 more smoothly, both ends of each horizontal bar 3 are provided with an upper vertical sliding sleeve 6, and both ends of each vertical bar 4 are provided with an upper horizontal sliding sleeve 8, and the vertical sliding sleeve 6 slides on the vertical guide rod 5, and the horizontal sliding sleeve 8 slides on the horizontal guide rod 7, so that the entire sliding process is smooth, the product quality is guaranteed, the needs of all occasions are met, and the product is more popular with elementary school students, achieving the purpose that the product is popular with students. The vertical sliding sleeve 6 and the horizontal sliding sleeve 8 can both be connected and guided.

[0029] Furthermore, each slider 2 has a horizontal passage 201 and a vertical passage 202, the horizontal bar 3 passes through the horizontal passage 201, and the vertical bar 4 passes through the vertical passage 202, The horizontal passage 201 and the vertical passage 202 are perpendicular to each other so that the horizontal bar 3 and the vertical bar 4 are offset in a step on the slider 2 .

[0030] In this embodiment, considering that each slider 2 needs to slide horizontally on the horizontal bar 3 and vertically on the vertical bar 4, horizontal and vertical passages 201 and 202 for guide are opened in the slider 2, and the horizontal and vertical passages 201 and 202 are perpendicular to each other so that the horizontal bar 3 and the vertical bar 4 are offset in steps on the slider 2, thereby enabling the horizontal and vertical movements of each slider 2 and ensuring the rationality of the product.

[0031] Furthermore, the calculation result digits 102 arranged in a matrix are a 9×9 matrix or a 10×10 matrix or a 19×19 matrix or a 20×20 matrix, the sliders 2 arranged in a matrix are a 9×9 matrix or a 10×10 matrix or a 19×19 matrix or a 20×20 matrix, and M and N are natural numbers.

[0032] In this embodiment, the multiplication abacus device may be designed for use in calculating multiplication tables, or may be designed as a calculation demonstration of 19 x 19 multiplication, or may be designed as a calculation demonstration of multiplication within 10 x 10, 20 x 20. When designed as a calculation demonstration of multiplication within 19 x 19, in order to facilitate the calculation, the slider 2 can be colored, for example, a 20 x 20 matrix contains four 10 x 10 matrices, and the colors are designed so that adjacent 10 x 10 matrices have different colors.

[0033] There are two result methods. One is to move the slider 2 of multiple rows and columns and expose the calculation result digit 102 in the upper right corner to display the number as the calculation result, as described above in detail. The second method is specifically as follows. When calculating 14×15, first move the slider 2 of 14 rows down and move the slider 2 of 15 columns to the left. At this time, the 14×15 slider 2 matrix is ​​divided into four parts by combining different colors of slider 2, and the slider 2 of the matrix in the upper right part is 4×5=20 pieces. Since the slider 2 of the matrix in the remaining three parts is all a multiple of 10, the slider 2 of the matrix in the upper left part can be replaced and moved to the lower right, that is, the slider 2 of 14 rows horizontally is moved back by 4 rows, and the slider 2 of 15 columns is increased by 4 columns, resulting in 19 columns, for a total of 190 sliders 2, 190+20=210 pieces, where 210 is the calculation result of 14×15.

[0034] Furthermore, when the sliders 2 arranged in a matrix are a 19 x 19 matrix or a 20 x 20 matrix, spacers 9 are provided between the slider 2 in the 11th column and the slider 2 in the 10th column, and between the slider 2 in the 11th row and the slider 2 in the 10th row, and the horizontal bars 3 and vertical bars 4 pass through the spacers.

[0035] In this embodiment, in order to realize more convenient and faster calculation, if the slider 2 is a 19×19 matrix or a 20×20 matrix, a spacer 9 can be added and installed to meet the distinction between multiplication calculations within 10 and multiplication calculations from 10 to 20, and to meet more calculation convenience.

[0036] Furthermore, when the calculation result digits 102 arranged in a matrix are a 10×10 matrix, the sliders 2 arranged in a matrix are a 10×10 matrix, and the numbers of the calculation result digits 102 arranged in a matrix are displayed in the following arrangement:

[0037]

number

[0038] In this embodiment, when the calculation result digit 102 is printed or engraved, the calculation result required for multiplication within 10×10 can be satisfied according to the above matrix.

[0039] Furthermore, when the calculation result digits 102 arranged in a matrix are a 20×20 matrix, the sliders 2 arranged in a matrix are a 20×20 matrix, and the numbers of the calculation result digits 102 arranged in a matrix are displayed in the following arrangement:

[0040]

number

[0041] In this embodiment, when the calculation result digit 102 is printed or engraved, the calculation result required for multiplication calculation within 20×20 can be satisfied according to the above matrix.

[0042] The above is only a preferred embodiment of the present invention, and is not intended to limit the present invention. As long as it does not deviate from the spirit and principle of the present invention, any modifications, equivalent replacements, improvements, etc. shall be included in the protection scope of the present invention. [Explanation of symbols]

[0043] Main body (1), result display area (101), calculation result digit (102), row number display area (103), row number display digit (104), column number display area (105), column number display digit (106), slider (2), horizontal passage (201), vertical passage (202), horizontal bar (3), vertical bar (4), vertical guide rod (5), vertical sliding sleeve (6), horizontal guide rod (7), horizontal sliding sleeve (8), spacer (9).

Claims

1. A multiplying abacus device, comprising: A main body (1) having a removable result display area (101), the result display area (101) having calculation result digits (102) arranged in a matrix, the calculation result digits (102) having numbers for displaying calculation results; a plurality of sliders (2) arranged in a matrix, slidable above the main body (1) in both the horizontal and vertical directions, and positioned above the calculation result digits (102); a multiplication abacus device, characterized in that the sliders (2) of adjacent M rows slide along the vertical direction, and the sliders (2) of adjacent N columns slide along the horizontal direction, after which the sliders (2) cancel the cover of one row of the calculation result digits (102) and at the same time cancel the cover of one column of the calculation result digits (102), and the number of the crossed calculation result digits (102) is the calculation result of M×N.

2. The main body (1) further has a line number display area (103), the line number display area (103) has one line number display column (104), and the line number display column (104) has a number for displaying a line number, 2. The multiplication abacus device according to claim 1, wherein the main body (1) further comprises a column number display area (105), the column number display area (105) having one row of column number display digits (106), and the column number display digits (106) have numbers for displaying column numbers.

3. A horizontal bar (3) on which the sliders (2) of each row are slidably mounted in the horizontal direction, and each horizontal bar (3) is slidably mounted in the vertical direction on the main body (1); The multiplication abacus device according to claim 1, further comprising a vertical bar (4) on which the sliders (2) of each row are slidably mounted in the vertical direction and which is slidably mounted in the horizontal direction on the main body (1).

4. A longitudinal guide rod (5) installed longitudinally on the body (1); A plurality of longitudinal slide sleeves (6) are provided on the longitudinal guide rods (5) so as to be longitudinally slidable, and each of the transverse bars (3) is provided correspondingly; a lateral guide rod (7) installed laterally on the body (1); The multiplying abacus device according to claim 3, further comprising a plurality of lateral slide sleeves (8) that are laterally slidably installed on the lateral guide rods (7) and correspond to each of the vertical bars (4).

5. Each of the sliders (2) has a horizontal passage (201) and a vertical passage (202), the horizontal bar (3) passes through the horizontal passage (201) and the vertical bar (4) passes through the vertical passage (202); 5. The multiplying abacus device according to claim 4, characterized in that the horizontal passage (201) and the vertical passage (202) are perpendicular to each other so that the horizontal bar (3) and the vertical bar (4) are offset in steps on the slider (2).

6. The calculation result digits (102) arranged in a matrix form are a 9×9 matrix, a 10×10 matrix, a 19×19 matrix, a 20×20 matrix, etc. The sliders (2) arranged in a matrix are a 9×9 matrix, a 10×10 matrix, a 19×19 matrix, a 20×20 matrix, etc.

6. The multiplying abacus device according to claim 1, wherein M and N are natural numbers.

7. The multiplication abacus device according to claim 6, characterized in that when the sliders (2) arranged in a matrix are a 19 x 19 matrix or a 20 x 20 matrix, a spacer (9) is provided between the slider (2) in the 11th column and the slider (2) in the 10th column, and between the slider (2) in the 11th row and the slider (2) in the 10th row, and the horizontal bar (3) and the vertical bar (4) pass through the spacer.

8. When the calculation result digits (102) arranged in a matrix are a 10x10 matrix, the sliders (2) arranged in a matrix are a 10x10 matrix, and the numbers of the calculation result digits (102) arranged in a matrix are displayed in the following order: [0010] 7. The multiplying abacus device according to claim 6,

9. When the calculation result digits (102) arranged in a matrix are a 20x20 matrix, the sliders (2) arranged in a matrix are a 20x20 matrix, and the numbers of the calculation result digits (102) arranged in a matrix are displayed in the following order: [0025] 7. The multiplying abacus device according to claim 6,

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