CN210174480U - Multiplication and division calculation teaching ruler - Google Patents
Multiplication and division calculation teaching ruler Download PDFInfo
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- CN210174480U CN210174480U CN201920899509.2U CN201920899509U CN210174480U CN 210174480 U CN210174480 U CN 210174480U CN 201920899509 U CN201920899509 U CN 201920899509U CN 210174480 U CN210174480 U CN 210174480U
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Abstract
The embodiment of the utility model provides a take advantage of division calculation teaching ruler belongs to mathematics teaching aid technical field, take advantage of division calculation teaching ruler includes: the first ruler body is provided with a plurality of numerical values at intervals, the numerical values on the first ruler body comprise a numerical value x and a numerical value y, the distance between the numerical value x and the numerical value y is d, and d is (lgy-lgx). N, y is greater than x, and N is a multiple; the second ruler body is also provided with a numerical value, and the numerical value setting positions on the second ruler body are opposite or consistent to the numerical value setting positions on the first ruler body; the first ruler body and the second ruler body are arranged in parallel, and the relative positions of the numerical value on the first ruler body and the numerical value on the second ruler body are changed through the mutual movement between the first ruler body and the second ruler body. The technical effect of displaying multiplication knowledge in an interesting way is achieved.
Description
Technical Field
The invention relates to the technical field of mathematics teaching aids, in particular to a multiplication and division calculation teaching ruler.
Background
At present, in the mathematics education of primary schools, reciting a multiplication pithy formula is an important ring, and students can skillfully master multiplication of single digit and division corresponding to the multiplication through repeated reciting. The method lays a foundation for learning other mathematical knowledge.
But the single reciting multiplication pithy formula is dull and lacking in interest; in addition, the multiplication pithy formula table is not vivid enough, so that students cannot memorize the data quickly and efficiently in a graphic memory mode.
Therefore, the technical problems of the prior art are as follows: the memory of multiplication knowledge is boring, and a teaching aid with strong interest is lacked.
Disclosure of Invention
The embodiment of the application provides a multiplication and division calculation teaching ruler, which solves the technical problems that the memory of multiplication knowledge is boring and a teaching aid with strong interest is lacked in the prior art; the technical effect of displaying multiplication knowledge in an interesting way is achieved.
The embodiment of the application provides a multiplication and division calculation teaching ruler, which comprises: the first ruler body is provided with a plurality of numerical values at intervals, the numerical values on the first ruler body comprise a numerical value x and a numerical value y, the distance between the numerical value x and the numerical value y is d, and d is (lgy-lgx). N, y is greater than x, and N is a multiple; the second ruler body is also provided with a numerical value, and the numerical value setting positions on the second ruler body are opposite or consistent to the numerical value setting positions on the first ruler body; the first ruler body and the second ruler body are arranged in parallel, and the relative positions of the numerical value on the first ruler body and the numerical value on the second ruler body are changed through the mutual movement between the first ruler body and the second ruler body.
Preferably, the multiplication-division calculation teaching ruler further includes: the first ruler body and the second ruler body are connected through the first connecting piece, and the first ruler body and the second ruler body are enabled to move in parallel through the connecting piece.
Preferably, the joint is movably connected with the first ruler body, and the joint is fixedly connected with the second ruler body; or the joint piece is movably connected with the second ruler body, and the joint piece is fixedly connected with the first ruler body.
Preferably, the specific manner of the movable connection between the joint piece and the first ruler body or the second ruler body is that the joint piece is provided with a cavity, and the cavity accommodates the first ruler body or the second ruler body.
Preferably, the multiplication-division calculation teaching ruler further includes: the mark body corresponds to a certain numerical value of the first ruler body and/or the second ruler body.
Preferably, the value x and the value y are positive integers.
Preferably, the first blade and the second blade have the same length.
Preferably, the multiple N is in the range of 18. ltoreq. N.ltoreq.22.
Preferably, the value of the multiple N is 20.
Preferably, the first ruler body and/or the second ruler body are provided with a numerical value 1.
One or more technical solutions in the embodiments of the present application have at least one or more of the following technical effects:
1. in the embodiment of the application, by arranging the first ruler body and the second ruler body, numerical values are respectively arranged on the first ruler body and the second ruler body at certain intervals, specifically, the distance between the numerical value x and the numerical value y on the same ruler body meets d (lgy-lgx) N, so that the distance d1 from the numerical value y of the first ruler body to the numerical value 1 on the first ruler body is lgy N; the distance d2 from the value x on the second ruler body to the value 1 on the second ruler body is lgx x N, and under the theory of lgx + lgy-lgx x y, the corresponding value of the value 1 on the first ruler body or the second ruler body is equal to the product of other corresponding values of the first ruler body and the second ruler body. The technical problems that the memory of multiplication knowledge is boring and a teaching aid with strong interest is lacked in the prior art are solved; the technical effect of displaying multiplication knowledge in an interesting way is achieved.
2. In the embodiment of the application, the translation between the first ruler body and the second ruler body is stable by arranging the association piece, so that the multiplication-division calculation teaching ruler can conveniently switch the corresponding multiplication relation.
3. In the embodiment of the application, the identifier is arranged, so that multiplication knowledge between the first ruler body and the second ruler body can be displayed more intuitively.
4. In this embodiment, the movement of the teaching ruler is calculated by multiplication and division, so that the originally boring multiplication pithy formula is changed into two rulers with scales, and students can estimate to be equal to 4 or 5 more accurately according to the distance when learning multiplication and division between positive integers by moving the first ruler body and the second ruler body and by doing 17/4 according to the distance between the first ruler body and the second ruler body.
5. In this embodiment, the movement of the teaching ruler is calculated by multiplication and division, and the students can switch the multiplication pithy formula into an image memory mode, so that the multiplication and division can be memorized more flexibly and conveniently by memorizing a certain position relation between the second ruler bodies on the first ruler body.
Drawings
FIG. 1 is a schematic diagram of a front view of a multiplication-division calculation teaching ruler in an embodiment of the present application;
FIG. 2 is a schematic diagram of a front view of another multiplication-division calculation teaching ruler in the embodiment of the present application;
fig. 3 is a schematic front view of another multiplication-division calculation teaching ruler in the embodiment of the present application.
Reference numerals: 1. a first ruler body; 2. a second ruler body; 3. a connection piece; 4. and identifying the body.
Detailed Description
The embodiment of the application provides a multiplication and division calculation teaching ruler, wherein a first ruler body 1 and a second ruler body 2 are arranged, numerical values are respectively arranged on the first ruler body 1 and the second ruler body 2 at certain intervals, specifically, the distance between a numerical value x and a numerical value y on the same ruler body meets d (lgy-lgx) N, and the distance d1 from the numerical value y of the first ruler body 1 to the numerical value 1 on the first ruler body 1 is lgy N; the distance d2 from the value x on the second ruler body 2 to the value 1 on the second ruler body 2 is lgx × N, and under the theory of lgx + lgy ═ lgx × y, the corresponding value at the value 1 on the first ruler body 1 or the second ruler body 2 is equal to the product of the other corresponding values of the first ruler body 1 and the second ruler body 2. The technical problems that the memory of multiplication knowledge is boring and a teaching aid with strong interest is lacked in the prior art are solved; the technical effect of displaying multiplication knowledge in an interesting way is achieved.
In order to better understand the technical solution, the technical solution will be described in detail with reference to the drawings and the specific embodiments.
Example one
Referring to fig. 1 and 3, a multiplication-division calculation teaching ruler includes: the first ruler body 1 and the second ruler body 2 show multiplication knowledge through relative movement between the first ruler body 1 and the second ruler body 2.
The first ruler body 1 is provided with a plurality of numerical values at intervals, the numerical values on the first ruler body 1 comprise a numerical value x and a numerical value y, the distance between the numerical value x and the numerical value y is d, and d is (lgy-lgx) N, y is greater than x, and N is a multiple.
Specifically, the first scale body 1 is provided with values on the multiplication pithy formula, and the values are sequentially arranged at intervals in the order of magnitude, and are arranged according to d (lgy-lgx) × N, for example, the distance between the value 5 and the value 4 is d4-5 ═ lg5-lg4 ═ N ═ 0.698-0.602) × N, and when the multiple of the multiplication-division calculation teaching scale is set to 20, the value of d4-5 is 1.92, and the unit is generally centimeter.
Specifically, the setting of the numerical value on the first ruler body is related to the range of displaying multiplication knowledge and also related to the length of the first ruler body, so that the numerical value set on the first ruler body is required to be guaranteed not to be displayed crowded, and the teaching ruler for multiplication and division calculation is guaranteed to be convenient to read when displayed. Where the length of the first blade allows, it is preferable to set all positive integers between 1-81 on the first blade so that the knowledge of the entire multiplication is more fully revealed to the student.
The numerical value is set on the first ruler body 1 according to the mode, so that the matching between the first ruler body 1 and the second ruler body 2 meets lgx + lgy-lgx-y, the multiplication operation is converted into the addition and subtraction operation through logarithm conversion, the two-dimensional high-order operation is converted into the one-dimensional addition and subtraction operation, the uniform numerical scale is changed into the non-uniform numerical scale, and the purpose that the multiplication and division calculation teaching ruler displays multiplication knowledge through movement is achieved.
The second ruler body 2 is also provided with a numerical value, and the numerical value setting position on the second ruler body 2 is opposite to the numerical value setting position on the first ruler body 1; the first ruler body 1 and the second ruler body 2 are arranged in parallel, and the relative positions of the numerical value on the first ruler body 1 and the numerical value on the second ruler body 2 are changed through mutual movement between the first ruler body 1 and the second ruler body 2.
Example two
On the basis of the first embodiment, the digital position relationship between the first ruler body 1 and the second ruler body 2 is changed, so that the multiplication and division calculation teaching ruler can display multiplication knowledge instead of division knowledge, and the method specifically comprises the following steps:
referring to fig. 2, the second ruler body 2 is also provided with a numerical value, and the numerical value setting position on the second ruler body 2 is the same as the numerical value setting position on the first ruler body 1.
EXAMPLE III
On the basis of the first embodiment or the second embodiment, the structure of the multiplication-division calculation teaching ruler is further optimized, so that the teaching ruler is more convenient to use.
The multiplication and division calculation teaching ruler further comprises: a coupling piece 3 and a label body 4.
And the coupling piece 3 is used for connecting the first ruler body 1 and the second ruler body 2, and enabling the first ruler body 1 and the second ruler body 2 to move in parallel through the coupling piece 3.
The joint 3 is movably connected with the first ruler body 1, and the joint 3 is fixedly connected with the second ruler body 2; or the coupling piece 3 is movably connected with the second ruler body 2, and the coupling piece 3 is fixedly connected with the first ruler body 1.
The specific mode that the connection piece 3 is movably connected with the first ruler body 1 or the second ruler body 2 is that the connection piece 3 is provided with a containing cavity which is used for containing the first ruler body 1 or the second ruler body 2.
The multiplication and division calculation teaching ruler further comprises: the mark body 4, the mark body 4 corresponds to a certain numerical value of the first ruler body 1 and/or the second ruler body 2.
Specifically, the indicator 4 may be a box or an arrow, wherein the indicator preferably points to the value 1 on the first ruler body 1 or the second ruler body 2 and the corresponding position of the value 1, so that the multiplication and division result on the teaching ruler for multiplication and division calculation is highlighted.
The working principle is as follows:
multiplication and division function
Setting a first ruler body 1 and a second ruler body 2, and respectively setting numerical values on the first ruler body 1 and the second ruler body 2 at certain intervals, wherein the distance between the numerical value x and the numerical value y on the same ruler body meets d (lgy-lgx) N, so that the distance d1 from the numerical value y of the first ruler body 1 to the numerical value 1 on the first ruler body 1 is lgy N; the distance d2 from the value x on the second ruler body 2 to the value 1 on the second ruler body 2 is lgx × N, and under the theory of lgx + lgy ═ lgx × y, the corresponding value at the value 1 on the first ruler body 1 or the second ruler body 2 is equal to the product of the other corresponding values of the first ruler body 1 and the second ruler body 2.
Through logarithmic transformation, multiplication operation is converted into addition and subtraction operation, two-dimensional high-order operation is converted into one-dimensional addition and subtraction operation, uniform numerical scales are changed into non-uniform numerical scales, and the purpose that multiplication and division calculation teaching ruler displays multiplication knowledge through movement is achieved.
As shown in figure 2, the distance from the value 16 to the value 1 on the first ruler body 1 is d1-16(lg1 × 16) × N; n is a fixed multiple value; since lg1 × 16 ═ lg2 × 8 ═ lg4 × 4, and according to lg16 ═ lg2 × 8 ═ lg2+ lg8, the sum of the distance from the value 2 to the value 1 on the first scale body 1 and the distance from the value 8 to the value 1 on the second scale body 2 is equal to the distance from the value 16 to the value 1 on the first scale body 1. The same applies to multiplication and division.
Estimation function
Students generally estimate based on rounding thinking, such as 16/5, rounding will estimate the value 16 as 20, and then calculate based on 20/5 to calculate an estimate of 4; but in practice 16 will be estimated as 15, the estimation will be more accurate.
The teaching ruler for calculating the multiplication and division can quickly memorize the positions of the numerical values 15, 16 and 20 in a graphic memory mode, so that students know that the distance from the numerical value 16 to the numerical value 15 is smaller than the distance from the numerical value 16 to the numerical value 20, when the students estimate, the students can estimate the numerical value 16 to be 15 according to the distance relation, the estimation result of 16/5 can be estimated to be 3, and the estimation result is more accurate.
The technical effects are as follows:
1. in the embodiment of the application, by arranging the first ruler body and the second ruler body, numerical values are respectively arranged on the first ruler body and the second ruler body at certain intervals, specifically, the distance between the numerical value x and the numerical value y on the same ruler body meets d (lgy-lgx) N, so that the distance d1 from the numerical value y of the first ruler body to the numerical value 1 on the first ruler body is lgy N; the distance d2 from the value x on the second ruler body to the value 1 on the second ruler body is lgx x N, and under the theory of lgx + lgy-lgx x y, the corresponding value of the value 1 on the first ruler body or the second ruler body is equal to the product of other corresponding values of the first ruler body and the second ruler body. The technical problems that the memory of multiplication knowledge is boring and a teaching aid with strong interest is lacked in the prior art are solved; the technical effect of displaying multiplication knowledge in an interesting way is achieved.
2. In the embodiment of the application, the translation between the first ruler body and the second ruler body is stable by arranging the association piece, so that the multiplication-division calculation teaching ruler can conveniently switch the corresponding multiplication relation.
3. In the embodiment of the application, the identifier is arranged, so that multiplication knowledge between the first ruler body and the second ruler body can be displayed more intuitively.
4. In this embodiment, the movement of the teaching ruler is calculated by multiplication and division, so that the originally boring multiplication pithy formula is changed into two rulers with scales, and students can estimate to be equal to 4 or 5 more accurately according to the distance when learning multiplication and division between positive integers by moving the first ruler body and the second ruler body and by doing 17/4 according to the distance between the first ruler body and the second ruler body.
5. In this embodiment, the movement of the teaching ruler is calculated by multiplication and division, and the students can switch the multiplication pithy formula into an image memory mode, so that the multiplication and division can be memorized more flexibly and conveniently by memorizing a certain position relation between the second ruler bodies on the first ruler body.
While preferred embodiments of the present invention have been described, additional variations and modifications in those embodiments may occur to those skilled in the art once they learn of the basic inventive concepts. Therefore, it is intended that the appended claims be interpreted as including preferred embodiments and all such alterations and modifications as fall within the scope of the invention.
It will be apparent to those skilled in the art that various changes and modifications may be made in the present invention without departing from the spirit and scope of the invention. Thus, if such modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalents, the present invention is also intended to include such modifications and variations.
Claims (10)
1. A multiplication-division calculation teaching ruler, comprising:
the first ruler body is provided with a plurality of numerical values at intervals, the numerical values on the first ruler body comprise a numerical value x and a numerical value y, the distance between the numerical value x and the numerical value y is d, and d is (lgy-lgx). N, y is greater than x, and N is a multiple;
the second ruler body is also provided with a numerical value, and the numerical value setting positions on the second ruler body are opposite or consistent to the numerical value setting positions on the first ruler body;
the first ruler body and the second ruler body are arranged in parallel, and the relative positions of the numerical value on the first ruler body and the numerical value on the second ruler body are changed through the mutual movement between the first ruler body and the second ruler body.
2. The multiplication-division calculation teaching of claim 1 wherein said multiplication-division calculation teaching further comprises:
the first ruler body and the second ruler body are connected through the first connecting piece, and the first ruler body and the second ruler body are enabled to move in parallel through the connecting piece.
3. The multiplication-division calculation teaching ruler of claim 2 wherein said coupling member is movably connected to said first ruler body, and said coupling member is fixedly connected to said second ruler body; or the joint piece is movably connected with the second ruler body, and the joint piece is fixedly connected with the first ruler body.
4. The multiplication and division calculation teaching ruler of claim 3 wherein said coupling member is movably connected to said first ruler body or said second ruler body in such a manner that said coupling member has a cavity for receiving said first ruler body or said second ruler body.
5. The multiplication-division calculation teaching of claim 1 wherein said multiplication-division calculation teaching further comprises:
the mark body corresponds to a certain numerical value of the first ruler body and/or the second ruler body.
6. The multiplication-division calculation teaching ruler of claim 1 wherein the value x and the value y are positive integers.
7. The multiplication and division calculation teaching ruler of claim 1 wherein the first ruler body and the second ruler body are of uniform length.
8. The multiplication and division calculation teaching ruler of claim 1 wherein said multiple N ranges from 18 ≦ N ≦ 22.
9. The multiplication-division calculation teaching ruler of claim 1 or 8 wherein the value of said multiple N is 20.
10. The multiplication and division calculation teaching ruler of claim 1 wherein a numerical value of 1 is provided on said first ruler body and/or said second ruler body.
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| CN201920899509.2U CN210174480U (en) | 2019-06-15 | 2019-06-15 | Multiplication and division calculation teaching ruler |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201920899509.2U CN210174480U (en) | 2019-06-15 | 2019-06-15 | Multiplication and division calculation teaching ruler |
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| CN210174480U true CN210174480U (en) | 2020-03-24 |
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