CN113284397A - Develop mathematical teaching aid of thinking - Google Patents
Develop mathematical teaching aid of thinking Download PDFInfo
- Publication number
- CN113284397A CN113284397A CN202110610160.8A CN202110610160A CN113284397A CN 113284397 A CN113284397 A CN 113284397A CN 202110610160 A CN202110610160 A CN 202110610160A CN 113284397 A CN113284397 A CN 113284397A
- Authority
- CN
- China
- Prior art keywords
- circular groove
- teaching aid
- rotating
- mounting plate
- groove
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Withdrawn
Links
Images
Classifications
-
- 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
- G09B19/00—Teaching not covered by other main groups of this subclass
Landscapes
- Business, Economics & Management (AREA)
- Engineering & Computer Science (AREA)
- Entrepreneurship & Innovation (AREA)
- Physics & Mathematics (AREA)
- Educational Administration (AREA)
- Educational Technology (AREA)
- General Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Electrically Operated Instructional Devices (AREA)
Abstract
The invention is suitable for the technical field of mathematical teaching aids, and particularly relates to a mathematical teaching aid for developing thinking, which comprises a mounting plate, wherein a circular groove is arranged on the mounting plate, at least three moving parts are connected inside the circular groove in a sliding manner, a protractor is arranged at the circle center position of the circular groove, and at least three rotating parts are rotatably connected at the circle center position of the circular groove; the moving parts are used for determining a triangular shape surrounded by a plurality of moving parts; the protractor is used for measuring the included angle degree between two adjacent groups of rotating pieces; the device is characterized in that a plurality of moving parts form a triangle in a surrounding mode, the shape of the triangle is further determined, and the protractor and the rotating parts are used for proving some relevant properties of the outer center of the triangle, so that the device is convenient for teachers to operate and can stimulate the learning interest of students; the arrangement of the rotating pieces can form any one triangular shape, and then the triangles in different shapes are verified, so that the accuracy of the verification result of the device is improved.
Description
Technical Field
The invention relates to the technical field of math teaching aids, in particular to a math teaching aid for developing thinking.
Background
In the field of mathematics, triangles are the most common figures and have various forms, the triangles are often combined with circles, when a circle is circumscribed with the triangle, the intersection points of perpendicular bisectors of all sides of the triangle are the same point, and the point is coincident with the center of the circle, namely the outer center of the triangle.
At present, when students explain the triangle outsentric, teachers generally describe the nature of the triangle outsentric by drawing circles and triangles on a blackboard, and then prove some properties of the outsentric by making auxiliary lines and measuring the included angle degrees.
However, the method directly described by the teacher wastes time and labor, and errors are easily generated in the processes of measuring angles and making auxiliary lines, so that the data is not accurate, and meanwhile, the method for the teacher to explain on the blackboard is monotonous, and the learning interest of learning cannot be stimulated.
Disclosure of Invention
The invention aims to provide a mathematical teaching aid for developing thinking, which is used for solving the problems in the background technology.
In order to achieve the purpose, the invention provides the following technical scheme:
a mathematic teaching aid for developing thinking comprises a mounting plate, wherein a circular groove is formed in the mounting plate, at least three moving parts are connected to the inside of the circular groove in a sliding mode, a protractor is arranged at the circle center position of the circular groove, and at least three rotating parts are connected to the circle center position of the circular groove in a rotating mode;
the moving parts are used for determining a triangular shape surrounded by a plurality of moving parts;
the protractor is used for measuring the included angle degree between two adjacent groups of rotating pieces.
Further: the rotating piece is provided with a connecting rope, the rotating piece is adjacent to the connecting rope, and the connecting rope is made of elastic materials.
Further: the moving member is including setting up the slider inside the circular slot and the first arch that is connected with the slider, first arch runs through the circular slot and rather than sliding connection, the slider is connected with fixed establishment, fixed establishment is used for fixed moving member.
Further: the fixing mechanism comprises a first magnet and a second magnet, the first magnet is fixedly connected with the sliding block, the second magnet is located on one side, away from the moving part, of the mounting plate, and the first magnet and the second magnet attract each other.
Further: the rotation piece includes the dwang, the central point of circular recess puts and is equipped with the second arch, the one end and the protruding rotation of dwang are connected, the other end of dwang is equipped with first pointer, first pointer just contacts with the circular recess towards the position setting of circular recess.
Further: the inside recess that is equipped with of dwang, the recess is located the scale position of protractor, the central point of recess puts and is equipped with the second pointer, the setting of second pointer towards the direction of scale.
Further: the both sides of dwang are equipped with rather than mutually perpendicular's connecting rod, the one end of connecting rod runs through the dwang and rather than sliding connection, the inside of dwang is equipped with the spacing groove, the inside sliding connection in spacing groove has the stopper, stopper and connecting rod fixed connection, the stopper is connected with the third arch, the third arch runs through the spacing groove and rather than sliding connection.
Further: one side of mounting panel is equipped with the base, the base is connected with first pillar, the mounting panel is connected with the second pillar, the one end that the mounting panel was kept away from to the second pillar is located the inside of first pillar and rather than sliding connection, the outside of first pillar is equipped with solid fixed ring, gu fixed ring is used for the fixed of first pillar and second pillar.
Compared with the prior art, the invention has the beneficial effects that: a mathematical teaching aid for developing thinking, the device forms a triangle by a plurality of moving parts, further determines the shape of the triangle, proves some relevant properties of the outskirts of the triangle by protractors and the rotating parts, is convenient for teachers to operate, and can also stimulate the learning interest of students; the arrangement of the rotating pieces can form any one triangular shape, and then the triangles in different shapes are verified, so that the accuracy of the verification result of the device is improved.
Drawings
Fig. 1 is a front view of the whole structure of a math teaching aid for developing thinking.
Fig. 2 is a schematic connection diagram of moving parts of a math teaching aid for exploiting thinking.
Fig. 3 is a schematic diagram of the connection of the rotation rod of the mathematical teaching aid for exploiting thinking.
Fig. 4 and 5 are schematic diagrams of a demonstration process of a mathematical teaching aid for exploiting thinking.
Fig. 6 is a schematic view of the connection of the rotating parts of the mathematical teaching aid for exploiting thinking.
Fig. 7 is a schematic view of a connecting rod connection of a math teaching aid for exploiting thinking.
In the figure: the device comprises a mounting plate 1, a base 2, a first support 3, a second support 4, a fixing ring 5, a connecting rope 6, a circular groove 7, a protractor 8, a rotating rod 9, a first pointer 10, a connecting rod 11, a first bulge 12, a sliding block 13, a second magnet 14, a first magnet 15, a second bulge 16, a second pointer 17, a groove 18, a third bulge 19, a limiting block 20 and a limiting groove 21.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
Specific implementations of the present invention are described in detail below with reference to specific embodiments.
In this embodiment, please refer to fig. 1, a mathematic teaching aid for developing thinking includes a mounting plate 1, a circular groove 7 is provided on the mounting plate 1, at least three moving members are slidably connected inside the circular groove 7, a protractor 8 is provided at a center position of the circular groove 7, and at least three rotating members are rotatably connected at a center position of the circular groove 7;
the moving parts are used for determining a triangular shape surrounded by a plurality of moving parts;
the protractor 8 is used for measuring the included angle degree between two adjacent groups of rotating pieces.
In the embodiment, the device encloses a triangle through a plurality of moving parts, further determines the shape of the triangle, and proves some relevant properties of the outskirts of the triangle through the protractor 8 and the rotating parts, thereby being convenient for teachers to operate and simultaneously stimulating the learning interest of students; the arrangement of the rotating pieces can form any one triangular shape, and then the triangles in different shapes are verified, so that the accuracy of the verification result of the device is improved.
In another embodiment, referring to fig. 1, the rotating members are provided with connecting ropes 6, adjacent rotating members are connected by the connecting ropes 6, and the connecting ropes 6 are made of elastic materials.
In this embodiment, the connection rope 6 can make students and teachers better observe the triangle shape and the three sides of the triangle surrounded by the moving members, so that the students and teachers can operate conveniently, and in addition, the connection rope 6 is made of elastic materials to enable the connection rope to have elastic potential energy, so that the connection rope is not easy to break in the moving process, wherein the elastic materials can be rubber bands.
In another embodiment, please refer to fig. 2, the moving member includes a sliding block 13 disposed inside the circular groove 7 and a first protrusion 12 connected to the sliding block 13, the first protrusion 12 penetrates the circular groove 7 and is slidably connected thereto, and the sliding block 13 is connected to a fixing mechanism for fixing the moving member.
In this embodiment, when carrying out triangle-shaped ectocentric nature demonstration, confirm the shape of triangle-shaped through removing a plurality of first archs 12, a plurality of first archs 12 can form arbitrary one triangle-shaped shape, thereby the device has improved the accuracy of verification result, simultaneously can also arouse student's hands-on ability, and then improve student's interest in learning, wherein slider 13 is connected with fixed establishment, fix the moving member through fixed establishment, the effectual produced skew phenomenon of moving member in the verification process that has prevented, wherein the moving member can also be replaced with the pushpin, when confirming the triangle-shaped shape, insert a plurality of pushpins into the inside of circular recess 7, thereby form a triangle-shaped.
In another embodiment, referring to fig. 2, the fixing mechanism includes a first magnet 15 and a second magnet 14, the first magnet 15 is fixedly connected to the slider 13, the second magnet 14 is located on a side of the mounting plate 1 away from the moving member, and the first magnet 15 and the second magnet 14 attract each other.
In this embodiment, when the plurality of first protrusions 12 form a triangle, the moving member is fixed by the mutual attraction of the first magnet 15 and the second magnet 14, so as to effectively prevent the offset phenomenon generated by the moving member during the verification process, wherein the fixing mechanism can be replaced by a threaded hole and a threaded rod, and when the moving member is fixed, the threaded rod presses the moving member to fix the moving member.
In another embodiment, referring to fig. 3-5, the rotating member includes a rotating rod 9, a second protrusion 16 is disposed at the center of the circular groove 7, one end of the rotating rod 9 is rotatably connected with the protrusion, and the other end of the rotating rod 9 is provided with a first pointer 10, and the first pointer 10 is disposed toward the circular groove 7 and just contacts with the circular groove 7.
In this embodiment, when the property that "the perpendicular bisectors of the three sides of the triangle intersect at one point, which is the outer center of the triangle" is verified, the three rotating levers 9 are rotated to enable the first pointers 10 of the two rotating levers 9 to point to the two moving members, the protractor 8 is used to enable the other rotating lever 9 to be at the angle bisector between the two rotating levers 9, at this time, it is found that the rotating lever 9 in the middle position is always perpendicular to the connecting line between the two moving members, at this time, it can be verified that the perpendicular bisector of one side of the triangle passes through the center of circle position, and in the same way, it can be verified that the perpendicular bisectors of the other two sides of the triangle also pass through the center of circle position, at this time, it can be verified that "the perpendicular bisectors of the three sides of the triangle intersect at one point, which is the outer center of the triangle"; when the property of 'if O is the outer center of Δ ABC, then × < BOC =2 ≦ a (< a is an acute angle or a right angle)' is verified, the three rotating levers 9 are rotated to make the first pointers 10 of the three rotating levers 9 respectively point to three moving members, at this time, the triangle surrounded by the three rotating levers 9 and the moving members forms three isosceles triangles, at this time, the included angle formed between the adjacent rotating levers 9 is observed through the protractor 8, that is, the degree of ≦ a can be calculated, thereby verifying that 'if O is the outer center of Δ ABC, then the property of ≦ BOC =2 ≦ a (< a is an acute angle or a right angle)' facilitates learning and teacher operation, and can excite the learning handlability and the calculation ability, thereby exciting the learning interest of students, wherein the rotating member can also be replaced by a long card, wherein one end of the long card is rotatably connected with the second protrusion 16.
In another embodiment, referring to fig. 6, a groove 18 is formed inside the rotating rod 9, the groove 18 is located at the scale position of the protractor 8, a second pointer 17 is arranged at the center of the groove 18, and the second pointer 17 is arranged in the direction of the scale.
In this embodiment, through the arrangement of the groove 18 and the second pointer 17, the angle of the adjacent rotating rod 9 can be observed more carefully, so that the error is reduced, and the accuracy of the verification result is improved.
In another embodiment, referring to fig. 7, two sides of the rotating rod 9 are provided with connecting rods 11 perpendicular to each other, one end of each connecting rod 11 penetrates through the rotating rod 9 and is slidably connected to the rotating rod 9, a limiting groove 21 is formed in the rotating rod 9, a limiting block 20 is slidably connected to the limiting groove 21, the limiting block 20 is fixedly connected to the connecting rod 11, the limiting block 20 is connected to a third protrusion 19, and the third protrusion 19 penetrates through the limiting groove 21 and is slidably connected to the limiting groove 21.
In this embodiment, when intersecting the perpendicular bisector of the three sides of the triangle at a point, which is the centroid of the triangle, the property verification is that when one of the rotating levers 9 is located at the angular bisector between the other two rotating levers 9, it may not be well observed by naked eyes whether the rotating lever 9 is perpendicular to the connecting line between the moving members, at this time, the third protrusion 19 drives the stopper 20 to move, the stopper drives the connecting rod 11 to move, when the connecting rod 11 moves to the position of the connecting line between the moving members, it can be found that the connecting line between the connecting rod 11 and the moving members is exactly coincident, at this time, it can be proved that the connecting line between the rotating lever 9 and the moving members is perpendicular, the accuracy of the verification result is further improved, the practical ability of learning can be stimulated, and the learning interest of students can be stimulated.
In another embodiment, please refer to fig. 1, a base 2 is disposed on one side of the mounting plate 1, the base 2 is connected to a first pillar 3, the mounting plate 1 is connected to a second pillar 4, one end of the second pillar 4, which is far away from the mounting plate 1, is located inside the first pillar 3 and is slidably connected to the first pillar 3, a fixing ring 5 is disposed outside the first pillar 3, and the fixing ring 5 is used for fixing the first pillar 3 and the second pillar 4.
In this embodiment, when this device carries out triangle-shaped eccentric nature demonstration, change the height of mounting panel 1 through the sliding connection of first pillar 3 and second pillar 4, wherein solid fixed ring 5 and the upper end threaded connection of first pillar 3, the upper end of first pillar 3 has elasticity and diameter from the top down increases in proper order, when needs fix second pillar 4, solid fixed ring 5 rotates, extrude second pillar 4 through the screw-thread fit between solid fixed ring 5 and first pillar 3, thereby it is fixed to it, and then make the device can be applicable to not student of co-altitude, be convenient for the student and watch, thereby can arouse student's interest of watching, wherein the supporting part can also be replaced with the telescopic link.
The implementation principle is as follows: this device is when proving triangle-shaped excenter nature, is used for measuring the contained angle number of degrees between adjacent two sets of rotation pieces through 8 protractors of protractor, and wherein the setting of moving member can make connecting rope 6 form any one kind of triangle-shaped, and then has improved the device and has verified the accuracy of result, and the setting of rotating piece and moving member can arouse student's hands-on ability in addition to arouse student's interest in learning.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents and improvements made within the spirit and principle of the present invention are intended to be included within the scope of the present invention.
Claims (8)
1. A math teaching aid for developing thinking comprises a mounting plate; the mounting plate is characterized in that a circular groove is formed in the mounting plate, at least three moving parts are connected inside the circular groove in a sliding mode, a protractor is arranged at the circle center of the circular groove, and at least three rotating parts are connected at the circle center of the circular groove in a rotating mode;
the moving parts are used for determining a triangular shape surrounded by a plurality of moving parts;
the protractor is used for measuring the included angle degree between two adjacent groups of rotating pieces.
2. A mathematical teaching aid for developing thinking according to claim 1, wherein the rotating members are provided with connecting ropes, and the adjacent rotating members are connected by the connecting ropes, and the connecting ropes are made of elastic material.
3. A mathematical teaching aid to develop thinking according to claim 1, wherein the moving member comprises a sliding block disposed inside the circular groove and a first protrusion connected with the sliding block, the first protrusion extends through the circular groove and is slidably connected with the circular groove, the sliding block is connected with a fixing mechanism, and the fixing mechanism is used for fixing the moving member.
4. A mathematical teaching aid to develop thinking according to claim 3, wherein the fixing mechanism comprises a first magnet and a second magnet, the first magnet is fixedly connected with the sliding block, the second magnet is arranged on one side of the mounting plate far away from the moving part, and the first magnet and the second magnet attract each other.
5. A math teaching aid for developing thinking according to claim 1, wherein the rotation member comprises a rotation rod, the center of the circular groove is provided with a second protrusion, one end of the rotation rod is rotatably connected with the protrusion, the other end of the rotation rod is provided with a first pointer, and the first pointer is arranged towards the position of the circular groove and just contacts with the circular groove.
6. A math teaching aid for developing thinking according to claim 5, wherein a groove is formed in the rotating rod, the groove is located at the scale position of the protractor, a second pointer is arranged at the center of the groove, and the second pointer is arranged in the direction of the scale.
7. The mathematics teaching aid of developing thinking according to claim 5, characterized in that, the both sides of dwang are equipped with rather than mutually perpendicular's connecting rod, the one end of connecting rod runs through the dwang and rather than sliding connection, the inside of dwang is equipped with spacing groove, the inside sliding connection of spacing groove has the stopper, stopper and connecting rod fixed connection, the stopper is connected with the third arch, the third arch runs through spacing groove and rather than sliding connection.
8. A mathematical teaching aid for developing thinking according to claim 1, wherein a base is provided on one side of the mounting plate, a first column is connected to the base, a second column is connected to the mounting plate, one end of the second column, which is far away from the mounting plate, is located inside the first column and is slidably connected with the first column, and a fixing ring is provided on the outside of the first column, and is used for fixing the first column and the second column.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202110610160.8A CN113284397A (en) | 2021-06-01 | 2021-06-01 | Develop mathematical teaching aid of thinking |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202110610160.8A CN113284397A (en) | 2021-06-01 | 2021-06-01 | Develop mathematical teaching aid of thinking |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN113284397A true CN113284397A (en) | 2021-08-20 |
Family
ID=77282962
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202110610160.8A Withdrawn CN113284397A (en) | 2021-06-01 | 2021-06-01 | Develop mathematical teaching aid of thinking |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN113284397A (en) |
Citations (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1093821A (en) * | 1993-04-16 | 1994-10-19 | 马凯 | The demonstrating model of multi-functional circle |
| US20150170528A1 (en) * | 2012-09-14 | 2015-06-18 | Pascal Co., Ltd. | Figure plate set |
| CN204537557U (en) * | 2015-04-28 | 2015-08-05 | 六盘水师范学院 | A kind of teaching aid verifying angular bisector character |
| CN205080798U (en) * | 2015-11-05 | 2016-03-09 | 王春蕾 | Junior high school mathematics teaching demonstration apparatus |
| CN106340225A (en) * | 2016-12-05 | 2017-01-18 | 朱书勤 | Trigonometric function demonstration device |
| CN107045821A (en) * | 2017-06-28 | 2017-08-15 | 张萌萌 | A kind of circular teaching demonstration device |
| CN207752670U (en) * | 2017-08-22 | 2018-08-21 | 郑州工商学院 | A kind of Multifunctional mathematics teaching device |
| CN110375603A (en) * | 2019-08-29 | 2019-10-25 | 李守良 | A kind of trigonometric function teaching aid |
-
2021
- 2021-06-01 CN CN202110610160.8A patent/CN113284397A/en not_active Withdrawn
Patent Citations (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1093821A (en) * | 1993-04-16 | 1994-10-19 | 马凯 | The demonstrating model of multi-functional circle |
| US20150170528A1 (en) * | 2012-09-14 | 2015-06-18 | Pascal Co., Ltd. | Figure plate set |
| CN204537557U (en) * | 2015-04-28 | 2015-08-05 | 六盘水师范学院 | A kind of teaching aid verifying angular bisector character |
| CN205080798U (en) * | 2015-11-05 | 2016-03-09 | 王春蕾 | Junior high school mathematics teaching demonstration apparatus |
| CN106340225A (en) * | 2016-12-05 | 2017-01-18 | 朱书勤 | Trigonometric function demonstration device |
| CN107045821A (en) * | 2017-06-28 | 2017-08-15 | 张萌萌 | A kind of circular teaching demonstration device |
| CN207752670U (en) * | 2017-08-22 | 2018-08-21 | 郑州工商学院 | A kind of Multifunctional mathematics teaching device |
| CN110375603A (en) * | 2019-08-29 | 2019-10-25 | 李守良 | A kind of trigonometric function teaching aid |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN113284397A (en) | Develop mathematical teaching aid of thinking | |
| Turner | A cost-effective physical modeling exercise to develop students’ understanding of covalent bonding | |
| US3083475A (en) | Construction kit for the representation of two-dimensional figures, mainly intended for the tuition of mathematics and similar purposes | |
| US11423803B2 (en) | Mathematics teaching aid and system for slope | |
| US6941667B2 (en) | Teaching sin and cosine instrument | |
| CN106864121A (en) | A kind of mathematical education teaching aid | |
| CN105513437B (en) | A kind of electronic compass system and its working method and building block | |
| Falconer | Charles Augustin Coulomb and the fundamental law of electrostatics | |
| Rovšek et al. | Calibration of a horizontal sundial | |
| Balbon | Localized Apparatus in Teaching Geometrical Optics | |
| CN206021679U (en) | A kind of novel mathematics teaching panel | |
| CN204650839U (en) | A kind of triangle corner properties demonstration device | |
| CN103035157A (en) | Presentation device of reading of analog ammeter and voltmeter | |
| CN105488828B (en) | A kind of electronic triangular ruler system and its working method and building block | |
| CN203812450U (en) | Gravitational acceleration measuring instrument for teaching | |
| CN101474930A (en) | Multifunctional plotter | |
| US3639989A (en) | Coordinate conversion calculator | |
| RU2790814C1 (en) | Training coil | |
| Bevilacqua et al. | Computer simulation and historical experiments | |
| RU7230U1 (en) | TRAINING GUIDE FOR CALLIGRAPHY TRAINING | |
| US3835298A (en) | Device for demonstrating and calculating mathematical functions | |
| Ruthven | Mathematical technologies as a vehicle for intuition and experiment: a foundational theme of the ICMI, and a continuing preoccupation | |
| CN104835384A (en) | Triangle corner property demonstrator | |
| Borun et al. | New ways to look at learning | |
| CN209168488U (en) | A kind of geometry template of dynamic demonstration |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| WW01 | Invention patent application withdrawn after publication |
Application publication date: 20210820 |
|
| WW01 | Invention patent application withdrawn after publication |