Multiplication abacus calculation device
Patent Information
- Application Number
- CN202380042498.5
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Priority Date
- 2022-03-24
- Filing Date
- 2023-02-24
- Publication Date
- 2025-01-10
AI Technical Summary
Multiplication learning is abstract and unintuitive for primary school students, making it difficult to understand and remember, leading to reliance on rote memorization and affecting the development of mathematical thinking.
A multiplication abacus device is designed, including a detachable and combined result display area and a sliding piece. It realizes the intuitive display and calculation of multiplication results through matrix arrangement and biaxial sliding. It combines the hand-brain-eye combined use mode to help students understand and remember the concept of multiplication. .
Through intuitive multiplication displays and hands-on operations, students can quickly understand and remember multiplication results, enhance reasoning and spatial thinking abilities, reduce rote memorization, and improve learning interest and mathematical modeling abilities.
Smart Images

Figure CN119301659A_ABST
Abstract
Description
Multiplication abacus device Technical Field
[0001] The utility model relates to the technical field of multiplication learning tools, in particular to a multiplication abacus device. Background Art
[0002] Multiplication is a shortcut for adding identical numbers. The result is called the product, with "x" representing the multiplication sign. Philosophically, multiplication is the qualitative change resulting from the quantitative change in addition. The multiplication of integers (including negative numbers), rational numbers (fractions), and real numbers is defined by a systematic generalization of this basic definition.
[0003] Multiplication is one of the four basic arithmetic operations and a fundamental and crucial operation in arithmetic. It can also be viewed as calculating the number of objects arranged in a rectangle (integers) or finding the area of a rectangle given its side lengths. The area of a rectangle does not depend on which side is measured first, demonstrating the commutative property. The product of two measurements is a new type of measurement; for example, multiplying the lengths of two sides of a rectangle gives its area, a topic of dimensional analysis. Technical issues
[0004] The study of multiplication begins in elementary school. First and second graders learn multiplication after learning addition and subtraction, as it's quite different from addition and subtraction and difficult to quickly master. Elementary school students find multiplication formulas very abstract and unintuitive. Although there are special cards printed with the multiplication table to help with memorization, learning multiplication is still quite difficult. Memorization relies entirely on rote memorization, which does help. While memorization can be achieved through repeated memorization, it doesn't fundamentally understand the underlying principles. Therefore, it's difficult to fundamentally understand other calculations based on multiplication. Relying solely on rote memorization is detrimental to the development of mathematical thinking in elementary school students. Technical Solutions
[0005] The utility model provides a multiplication abacus device, which solves the problem in the related art that using the multiplication table to learn multiplication is somewhat abstract and not intuitive enough.
[0006] The technical solution of the utility model is as follows:
[0007] Multiplication abacus device, including
[0008] The main body has a detachable result display area, wherein the result display area has calculation result positions arranged in a matrix, and the calculation result positions have numbers for displaying the calculation results.
[0009] There are several sliding members arranged in a matrix, which can slide horizontally and vertically above the main body and are located above the calculation result position.
[0010] Among them, after the sliding members of adjacent M rows slide longitudinally and the sliding members of adjacent N columns slide horizontally, the sliding members unblock one row of the calculation result bits and unblock one column of the calculation result bits, and the numbers of the crossed calculation result bits are the calculation results of MxN.
[0011] As a further technical solution,
[0012] The main body also has a row number indication area, which has a row number display position, and the row number display position has numbers for displaying row numbers.
[0013] The main body further comprises a column number indicating area, wherein the column number indicating area comprises a row of column number display positions, and the column number display positions have digits for displaying column numbers.
[0014] As a further technical solution, it also includes
[0015] Crossbar, each row of sliding members is arranged on a crossbar for transverse sliding, and each crossbar is arranged on the main body for longitudinal sliding,
[0016] The longitudinal rods are arranged on a longitudinal rod in a longitudinal sliding manner in each row, and each longitudinal rod is arranged on the main body in a transverse sliding manner.
[0017] As a further technical solution, it also includes:
[0018] A longitudinal guide rod is longitudinally arranged on the main body.
[0019] There are several longitudinal sliding sleeves, which are arranged on the longitudinal guide rods for longitudinal sliding. Each of the cross bars is arranged on the longitudinal sliding sleeves corresponding to the cross bars.
[0020] A transverse guide rod is arranged on the main body in a transverse direction.
[0021] There are several transverse sliding sleeves which are arranged on the transverse guide rod in a transverse sliding manner, and each longitudinal rod is arranged on the corresponding transverse sliding sleeve.
[0022] As a further technical solution,
[0023] Each of the sliding members has a transverse channel and a longitudinal channel, the transverse rod passes through the transverse channel, and the longitudinal rod passes through the longitudinal channel.
[0024] The transverse channel and the longitudinal channel are perpendicular to each other so that the transverse rod and the longitudinal rod are staggered in height on the sliding member.
[0025] As a further technical solution, the calculation result of the matrix arrangement is a 9x9 matrix or a 10x10 matrix or a 19x19 matrix or a 20x20 matrix.
[0026] The sliding members arranged in a matrix are a 9x9 matrix, a 10x10 matrix, a 19x19 matrix, or a 20x20 matrix.
[0027] And M and N are natural numbers.
[0028] As a further technical solution,
[0029] When the sliding members arranged in a matrix is a 19x19 matrix or a 20x20 matrix, spacers are provided between the sliding members in the eleventh column and the tenth column, and between the sliding members in the eleventh row and the tenth row, and the horizontal bars and the vertical bars pass through the spacers.
[0030] As a further technical solution, when the calculation result bits arranged in a matrix are a 10x10 matrix, the sliding members arranged in a matrix are a 10x10 matrix, and the numbers of the calculation result bits arranged in a matrix are displayed according to the following arrangement:
[0031] .
[0032] As a further technical solution, when the calculation result bits arranged in a matrix are a 20x20 matrix, the sliding members arranged in a matrix are a 20x20 matrix, and the numbers of the calculation result bits arranged in a matrix are displayed according to the following arrangement:
[0033] . Beneficial effects
[0034] The working principle and beneficial effects of the utility model are as follows:
[0035] 1. Be able to intuitively demonstrate and calculate the product of two numbers;
[0036] 2. It can penetrate the horizontal and vertical axes at the same time and can slide in both horizontal and vertical directions on the tray;
[0037] 3. The product of two numbers can be quickly obtained by moving the slider and calculating the product matrix on the result position of the main body;
[0038] 4. Ability to quickly calculate and demonstrate the product of any two numbers between 11 and 19 by setting the color of the slider and a fixed formula;
[0039] 5. It can be easily operated and carried, and helps to better understand the concept of multiplication.
[0040] 6. This device can help students learn multiplication by using their hands, brain, and eyes to quickly understand the concept of multiplication and easily remember the corresponding products. There is no need to memorize by rote, and students can simply understand and intuitively see what the product represents.
[0041] 7. This device can help students improve their reasoning when learning multiplication. For example, if they remember 6x7=42 but don't remember 7x7=?, they can think of moving another row of 7 beads to get 42+7=49.
[0042] 8. Through repeated and systematic use of this device, students can develop their spatial thinking and mathematical modeling abilities, and understand multiplication calculations from the perspective of "area";
[0043] 9. This device breaks the limitation of single-axis sliding in its overall structure and pioneers the application of dual-axis control bead structure in digital computing teaching aids, saving space and increasing students' learning interest. BRIEF DESCRIPTION OF THE DRAWINGS
[0044] The present invention will be further described in detail below with reference to the accompanying drawings and specific implementation methods.
[0045] FIG1 is a schematic structural diagram of an embodiment of the present invention;
[0046] FIG2 is a schematic diagram of the structure of the result display area in one embodiment of the present invention;
[0047] FIG3 is a schematic diagram of the structure of an embodiment of the present invention when performing calculations;
[0048] FIG4 is a schematic structural diagram of another embodiment of the present invention;
[0049] FIG5 is a perspective view of the structure of an embodiment of the present utility model;
[0050] FIG6 is a perspective view of the structure when calculating 4x6 according to an embodiment of the present invention;
[0051] FIG7 is a perspective view of the result display area structure when the result display area is closed according to an embodiment of the present invention;
[0052] FIG8 is a perspective view of the structure of the pull-out result display area according to an embodiment of the present invention;
[0053] In the figure: main body (1), result display area (101), calculation result position (102), row number indication area (103), row number display position (104), column number indication area (105), column number display position (106), sliding member (2), transverse channel (201), longitudinal channel (202), transverse rod (3), longitudinal rod (4), longitudinal guide rod (5), longitudinal sliding sleeve (6), transverse guide rod (7), transverse sliding sleeve (8), spacer (9). Specific embodiments of the present invention
[0054] The following will be combined with the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the embodiments described are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative efforts are within the scope of protection of the present invention.
[0055] As shown in FIG1 to FIG4, this embodiment proposes a multiplication abacus device, including
[0056] The main body 1 has a detachable result display area 101, the result display area 101 has calculation result positions 102 arranged in a matrix, and the calculation result positions 102 have numbers for displaying calculation results.
[0057] The sliding members 2 are arranged in a matrix and can slide on the main body 1 in the horizontal direction and in the vertical direction, and are located above the calculation result position 102.
[0058] Among them, after the adjacent M rows of sliding members 2 slide longitudinally and the adjacent N columns of sliding members 2 slide transversely, the sliding members 2 unblock a row of calculation result bits 102 and unblock a column of calculation result bits 102, and the numbers of the crossed calculation result bits 102 are the calculation results of MxN.
[0059] In this embodiment, considering that primary school students in grades one and two have to memorize multiplication table cards over and over again when learning multiplication, which is not only tiring but also difficult to fully understand, the inventors have designed a multiplication abacus device specifically for primary school students after continuous research. When learning multiplication, the students can not only visually see the multiplication results, but also deepen their impression through hands-on operation, so as to achieve the purpose of thorough and intuitive understanding.
[0060] Specifically, the multiplication abacus device has a main body 1 for supporting various components, which can be understood as the body of an abacus. A detachable result display area 101 is provided on the main body 1. Result digits 102 arranged in a matrix on the main body are the result of the multiplication calculation. To prevent the multiplication result from being initially visible, a plurality of sliders 2 are designed above the main body to block the result. These sliders 2 can be understood as the beads of an abacus and are also arranged in a matrix, capable of both horizontal and vertical movement. For ease of operation, it is generally preferred to move the entire row vertically and the entire column horizontally. For example, a design can be such that when M adjacent rows of sliders 2 move downward in the longitudinal direction and N adjacent columns of sliders 2 move left in the transverse direction, the sliders 2 will unblock one row of result digits 102 and one column of result digits 102, and the number of the result digits 102 at the intersection will be the result of the MxN calculation. In a practical calculation example, the entire row is vertically shifted down 5 rows, and the entire column is shifted left 8 columns. The sliding member 2 that is simultaneously shifting down and left is a 5x8 matrix. Therefore, a row of numbers is exposed above the matrix, and a column of numbers is exposed to the right of the matrix. The numbers in this row and column intersect with each other, and the intersecting number is the 5x8 calculation result 40. Therefore, the multiplication abacus device of this embodiment well implements a visual demonstration of calculation. The matrix in the lower left corner of the calculation result is the principle of multiplication calculation, and the calculation result is also intuitively displayed. Throughout the process, students can organically combine hands-on operation, process thinking, and intuitive result display, achieving the effect of deepening understanding and memory, and also achieving convenient portability.
[0061] Furthermore, the main body 1 also has a row number indication area 103, which has a row number display position 104, and the row number display position 104 has numbers for displaying row numbers.
[0062] The main body 1 further comprises a column number indicating area 105 , wherein the column number indicating area 105 comprises a row of column number displaying positions 106 , on which are numbers for displaying column numbers.
[0063] In this embodiment, in order to more intuitively display the number of rows and columns, a row number indicator area 103 is specially designed, which can be engraved or printed with a column of numbers indicating the row number display position 104, and a column number indicator area 105 is designed, which can be engraved or printed with a row of numbers indicating the column number display position 106. This allows users to quickly count the starting points for moving a certain number of rows and columns before calculation, thereby achieving the purpose of rapid calculation. After the movement is completed, users will not forget how much they moved and whether they performed a multiplication calculation. Of course, the row number display position 104 and the column number display position 106 do not necessarily have to be printed in a column or a row. They can also be printed in two rows, located at the upper and lower sections of the main body 1, and in two columns, located at the left and right ends of the main body 1, thereby making movement and calculation more convenient.
[0064] Furthermore, it also includes a crossbar 3, each row of sliding members 2 is arranged on a crossbar 3 for transverse sliding, and each crossbar 3 is arranged on the main body 1 for longitudinal sliding.
[0065] The longitudinal rod 4 , each row of sliding members 2 is longitudinally slidably arranged on a longitudinal rod 4 , and each longitudinal rod 4 is transversely slidably arranged on the main body 1 .
[0066] In this embodiment, in order to more conveniently realize the movement of the entire row and column of the matrix-arranged sliders 2 and to achieve fast operation and calculation, a plurality of horizontal bars 3 and a plurality of vertical bars 4 are specially designed to pass through the sliders 2, so that each horizontal bar 3 can move a row of sliders 2 longitudinally at the same time, and each slider 2 can be moved transversely by a vertical bar 4, so that a vertical bar 4 can move a column of sliders 2 as a whole, thereby achieving the purpose of fast operation and calculation, greatly facilitating the use of primary school students, and compared with the related technology in which each slider 2 slides independently, it is more suitable for use by first and second grade students.
[0067] Furthermore, it also includes a longitudinal guide rod 5, which is longitudinally arranged on the main body 1.
[0068] There are several longitudinal sliding sleeves 6, which are arranged on the longitudinal guide rod 5 for longitudinal sliding. Each cross bar 3 is arranged on its corresponding longitudinal sliding sleeve 6.
[0069] The transverse guide rod 7 is arranged on the main body 1 in the transverse direction.
[0070] There are several transverse sliding sleeves 8, which are arranged on the transverse guide rod 7 for transverse sliding. Each longitudinal rod 4 is arranged on its corresponding transverse sliding sleeve 8.
[0071] In this embodiment, to better achieve smooth sliding of the slider 2, longitudinal sliding sleeves 6 are provided at both ends of each crossbar 3, and transverse sliding sleeves 8 are provided at both ends of each transverse guide rod 7. The longitudinal sliding sleeves 6 slide on the longitudinal guide rods 5, and the transverse sliding sleeves 8 slide on the transverse sliding sleeves 8, thereby ensuring smooth sliding of the entire sliding process, ensuring product quality, meeting the needs of all scenarios, making the product more popular among primary school students, and achieving the goal of being well-liked by students. The longitudinal sliding sleeves 6 and the transverse sliding sleeves 8 can both be connected and guided.
[0072] Furthermore, each sliding member 2 has a transverse channel 201 and a longitudinal channel 202, the transverse rod 3 passes through the transverse channel 201, and the longitudinal rod 4 passes through the longitudinal channel 202.
[0073] The transverse channel 201 and the longitudinal channel 202 are perpendicular to each other so that the transverse rod 3 and the longitudinal rod 4 are staggered in height on the sliding member 2 .
[0074] In this embodiment, considering that each sliding member 2 needs to slide horizontally on the cross bar 3 and longitudinally on the longitudinal bar 4, a cross channel 201 and a longitudinal channel 202 are opened on the sliding member 2 for guidance, and the cross channel 201 and the longitudinal channel 202 are perpendicular to each other so that the cross bar 3 and the longitudinal bar 4 are staggered in height on the sliding member 2, making it possible for each sliding member 2 to move both horizontally and longitudinally, thereby ensuring the rationality of the product.
[0075] Furthermore, the calculation result bit 102 of the matrix arrangement is a 9x9 matrix, a 10x10 matrix, a 19x19 matrix, or a 20x20 matrix, the slider 2 of the matrix arrangement is a 9x9 matrix, a 10x10 matrix, a 19x19 matrix, or a 20x20 matrix, and M and N are natural numbers.
[0076] In this embodiment, the multiplication abacus device can be designed for the calculation of 99 multiplication, or can be designed for the calculation demonstration of 19 times 19 multiplication, or can be designed for the calculation demonstration of 10x10 or 20x20 multiplication. If it is designed for the calculation demonstration of 19 times 19 multiplication, in order to facilitate the calculation, the slider 2 can be painted with a color, such as a 20x20 matrix containing 4 10x10 matrices, and the colors are designed so that adjacent 10x10 matrices have different colors.
[0077] There are two calculation methods. One is described in detail above. Moving several rows and columns of sliders 2 will display the number 102 in the upper right corner as the calculation result. The second method is specifically described as follows: For example, when calculating 14x15, first move 14 rows of sliders 2 downward, and then move 15 columns of sliders 2 to the left. At this time, the 14x15 slider 2 matrix is divided into four parts based on the different colors of the sliders 2. The sliders 2 in the upper right corner matrix are 4x5=20, and the sliders 2 in the other three matrices are all multiples of 10. Therefore, the sliders 2 in the upper left corner matrix can be replaced and moved to the lower right corner, that is, the 14 rows of sliders 2 are moved back 4 rows horizontally, and the 15 columns of sliders 2 are increased by 4 columns to 19 columns, totaling 190 sliders 2. 190 + 20 = 210, and 210 is the calculation result of 14x15.
[0078] Furthermore, when the sliders 2 arranged in a matrix are a 19x19 matrix or a 20x20 matrix, spacers 9 are provided between the sliders 2 in the eleventh column and the tenth column, and between the sliders 2 in the eleventh row and the tenth row, and the horizontal bars 3 and the vertical bars 4 pass through the spacers.
[0079] In this embodiment, in order to achieve more convenient and faster calculations, when the sliding member 2 is a 19x19 matrix or a 20x20 matrix, a spacer 9 can be added to meet the needs of distinguishing between multiplication calculations within 10 and multiplication calculations between 10 and 20, thereby meeting greater calculation convenience.
[0080] Furthermore, when the calculation result position 102 of the matrix arrangement is a 10x10 matrix, the slider 2 of the matrix arrangement is a 10x10 matrix, and the numbers of the calculation result position 102 of the matrix arrangement are displayed according to the following arrangement,
[0081] .
[0082] In this embodiment, the above matrix may be used when printing or engraving the calculation result position 102, thereby satisfying the calculation result required for multiplication calculation within 10x10.
[0083] Furthermore, when the calculation result position 102 of the matrix arrangement is a 20x20 matrix, the slider 2 of the matrix arrangement is a 20x20 matrix, and the numbers of the calculation result position 102 of the matrix arrangement are displayed according to the following arrangement,
[0084] .
[0085] In this embodiment, the above matrix may be used when printing or engraving the calculation result position 102, thereby satisfying the calculation result required for multiplication calculation within 20x20.
[0086] The above are only preferred embodiments of the present invention and are not intended to limit the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention should be included in the scope of protection of the present invention.
Claims
1. A multiplication abacus device, characterized in that: include The main body (1) has a detachable result display area (101), wherein the result display area (101) has calculation result positions (102) arranged in a matrix, and the calculation result positions (102) have numbers for displaying calculation results. The sliding members (2) are a plurality of sliding members arranged in a matrix and can slide in the horizontal direction and in the vertical direction above the main body (1) and are located above the calculation result position (102). Wherein, after the sliding members (2) of adjacent M rows slide in the longitudinal direction and the sliding members (2) of adjacent N columns slide in the transverse direction, the sliding members (2) unblock one row of the calculation result bits (102) and unblock one column of the calculation result bits (102), and the numbers of the calculation result bits (102) that cross out are the calculation results of MxN.
2. The multiplication abacus device according to claim 1, characterized in that: The main body (1) further comprises a row number indicating area (103), wherein the row number indicating area (103) comprises a row number display position (104), and the row number display position (104) comprises a number for displaying the row number. The main body (1) further comprises a column number indicating area (105), wherein the column number indicating area (105) comprises a row of column number display positions (106), and the column number display positions (106) have digits for displaying column numbers.
3. The multiplication abacus device according to claim 1, characterized in that: Also includes A crossbar (3), wherein each row of the sliding members (2) is arranged on a crossbar (3) in a transverse sliding manner, and each crossbar (3) is arranged on the main body (1) in a longitudinal sliding manner. Longitudinal rods (4), each row of sliding members (2) is longitudinally slidably arranged on one longitudinal rod (4), and each longitudinal rod (4) is transversely slidably arranged on the main body (1).
4. The multiplication abacus device according to claim 3, characterized in that: Also includes, A longitudinal guide rod (5) is provided on the main body (1) in the longitudinal direction. There are a plurality of longitudinal sliding sleeves (6) which are arranged on the longitudinal guide rod (5) for sliding along the longitudinal direction, and each of the cross bars (3) is arranged on the longitudinal sliding sleeve (6) corresponding to the cross bar. A transverse guide rod (7) is arranged on the main body (1) in a transverse direction. There are a plurality of transverse sliding sleeves (8) which are arranged on the transverse guide rod (7) in a transverse sliding manner, and each longitudinal rod (4) is arranged on the corresponding transverse sliding sleeve (8).
5. The multiplication abacus device according to claim 4, characterized in that: Each of the sliding members (2) has a transverse channel (201) and a longitudinal channel (202), the transverse rod (3) passes through the transverse channel (201), and the longitudinal rod (4) passes through the longitudinal channel (202). The transverse channel (201) and the longitudinal channel (202) are perpendicular to each other so that the transverse rod (3) and the longitudinal rod (4) are staggered in height on the sliding member (2).
6. The multiplication abacus device according to any one of claims 1 to 5, characterized in that: The calculation result bit (102) of the matrix arrangement is a 9x9 matrix or a 10x10 matrix or a 19x19 matrix or a 20x20 matrix, etc. The sliding members (2) arranged in a matrix are 9x9 matrix, 10x10 matrix, 19x19 matrix, 20x20 matrix, etc. And M and N are natural numbers.
7. The multiplication abacus device according to claim 6, characterized in that: When the sliding members (2) arranged in a matrix are a 19x19 matrix or a 20x20 matrix, a spacer bar (9) is provided between the sliding members (2) in the eleventh column and the sliding members (2) in the tenth column, and between the sliding members (2) in the eleventh row and the sliding members (2) in the tenth row, and the transverse rod (3) and the longitudinal rod (4) pass through the spacer bar.
8. The multiplication abacus device according to claim 6, characterized in that: When the calculation result bits (102) of the matrix arrangement are a 10x10 matrix, the sliding members (2) of the matrix arrangement are a 10x10 matrix, and the numbers of the calculation result bits (102) of the matrix arrangement are displayed according to the following arrangement, 。 9. The multiplication abacus device according to claim 6, characterized in that: When the matrix arrangement of the calculation result bits (102) is a 20x20 matrix, the matrix arrangement of the sliding members (2) is a 20x20 matrix, and the numbers of the matrix arrangement of the calculation result bits (102) are displayed according to the following arrangement, 。
Citation Information
Patent Citations
Multiplication calculation teaching aids
CN307171054S