Mathematical model for mathematical thinking cultivation
By designing a portable mathematical model, the problem of inconvenience in carrying existing models is solved, and the teaching quality is improved and the burden is reduced, especially the experimental teaching of cone knowledge is achieved.
Patent Information
- Application Number
- CN202422451303.7
- Authority / Receiving Office
- CN · China
- Patent Type
- Utility models(China)
- Current Assignee / Owner
- Filing Date
- 2024-10-11
- Publication Date
- 2025-09-02
- Estimated Expiration
- 2034-10-11
AI Technical Summary
The existing mathematical thinking cultivation is inconvenient to carry with mathematical models, which leads to excessive burden on teachers.
A mathematical model including a circular box, fine sand storage assembly, iron cone, fine sand collection assembly and magnetic rubber sheet was designed. Through magnetic connection and expandable structure, the model is portable and versatile.
It improves the teaching quality, reduces the carrying burden of teachers, and facilitates experimental teaching of mathematical knowledge, especially the calculation of the volume and area of the cone.
Smart Images
Figure CN223296477U_ABST
Abstract
Description
Technical Field
[0001] The utility model relates to the technical field of mathematics teaching, in particular to a mathematical model for cultivating mathematical thinking. Background Art
[0002] The geometric model is a mathematical model that can effectively cultivate students' thinking ability in the teaching process, so it is widely used in teaching.
[0003] For example, when teaching students geometry, teachers can bring along some relevant mathematical models. Experimenting with these models can improve the overall teaching quality. Existing mathematical models often consist of multiple components, so teachers have to carry not only the models but also other related teaching materials, such as textbooks, which can be quite burdensome. Utility Model Content
[0004] The utility model provides a mathematical model for cultivating mathematical thinking, which has the advantages of cultivating thinking and being easy to carry, so as to solve the problems raised in the background technology.
[0005] In order to solve the defect that existing mathematical models for cultivating mathematical thinking are inconvenient to carry, the utility model provides the following technical solution: a mathematical model for cultivating mathematical thinking, comprising a round box, the top surface of the round box is threadedly connected to a fine sand storage component, an iron cone is placed in the round box, the bottom of the iron cone is open, and a fine sand collection component is provided at the bottom end of the round box, the outer side of the iron cone is wrapped with a magnetic rubber sheet, the magnetic rubber sheet can be unfolded into a fan-shaped structure, and the outer wall of the magnetic rubber sheet is coated with a plurality of equidistantly distributed fine lines.
[0006] As an optimal technical solution of the present invention, the fine sand storage assembly includes a circular storage box, the top surface of the circular storage box is threadedly connected to a round cover, the top surface of the round cover is integrally connected to a handle, and the bottom end of the circular storage box is threadedly connected to the top surface of the circular box.
[0007] As a preferred technical solution of the present invention, the inner wall of the sheet iron cone is fixedly connected with a thin rope, and both ends of the thin rope are fixedly connected to the inner wall of the sheet iron cone.
[0008] As a preferred technical solution of the present invention, a slot is provided in the middle of the bottom end of the round box, and a threaded interface is provided on the top surface of the slot.
[0009] As a preferred technical solution of the present invention, the fine sand collection assembly includes a tray, the bottom end of the tray is integrally connected to a plurality of legs, the middle part of the bottom end of the tray is threadedly connected to a stud, the bottom end of the stud is integrally connected to a knob, and the middle part of the top end of the tray is integrally connected to a block.
[0010] As a preferred technical solution of the present invention, the plurality of legs are distributed in a circle, the clamping block is clamped on the clamping slot, and the stud is threadedly connected to the threaded interface.
[0011] Compared with the prior art, the utility model provides a mathematical model for cultivating mathematical thinking, which has the following beneficial effects: the mathematical model is a mathematical geometry model, which is convenient for teachers to explain some relevant knowledge about the volume and lateral area of cones to students in class (for example, the volume of a cone is one-third of that of a cylinder, which can be proved through actual experiments. The lateral area of a cone is 2πrl. The cone can be unfolded to make it a fan shape, and the fan shape is coated with multiple thin lines, which can be divided into multiple triangles. The side of the cone can be obtained by calculating the area of the triangles and multiplying them by the number). It can effectively improve students' thinking and improve teaching quality. It can be stored together. For example, hangable items such as tea cups can also be hung on the knob. It is easy to carry and can reduce the carrying burden of teachers. BRIEF DESCRIPTION OF THE DRAWINGS
[0012] Figure 1 This is a three-dimensional diagram of the utility model when it is carried;
[0013] Figure 2 It is a three-dimensional diagram of the round box and the iron cone of the utility model;
[0014] Figure 3 A three-dimensional diagram of the fine sand collection assembly of the present invention;
[0015] Figure 4 This is a plan view of the magnetic rubber sheet of the utility model after it is unfolded.
[0016] In the picture:
[0017] 10. Round box; 20. Fine sand storage assembly; 21. Round storage box; 22. Round lid; 23. Handle; 30. Iron cone; 40. Fine sand collection assembly; 41. Tray; 42. Support leg; 43. Stud; 44. Knob; 45. Block; 50. Magnetic rubber sheet; 60. Thin wire; 70. Thin rope; 80. Card slot; 90. Threaded interface. DETAILED DESCRIPTION
[0018] The following will be combined with the drawings in 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.
[0019] See also Figures 1-4The utility model discloses a mathematical model for cultivating mathematical thinking, including a round box 10, the top surface of the round box 10 is threadedly connected to a fine sand storage component 20, a metal cone 30 is placed in the round box 10, the bottom of the metal cone 30 is opened, and a fine sand collection component 40 is provided at the bottom end of the round box 10, and the outer side of the metal cone 30 is wrapped with a magnetic rubber sheet 50, which can be magnetically bonded together, has good flexibility, and can be unfolded. The magnetic rubber sheet 50 can be unfolded into a fan-shaped structure, and the outer wall of the magnetic rubber sheet 50 is coated with a plurality of equidistantly distributed fine lines 60.
[0020] Specifically, the fine sand storage assembly 20 includes a circular storage box 21 , the top surface of the circular storage box 21 is threadedly connected to a circular cover 22 , the top surface of the circular cover 22 is integrally connected to a handle 23 , and the bottom end of the circular storage box 21 is threadedly connected to the top surface of the round box 10 .
[0021] In this embodiment, the circular storage box 21 can store fine sand and can be fixedly connected to the top surface of the round box 10. The round cover 22 can be sealed, and the handle 23 is easy to lift and carry.
[0022] Specifically, a thin rope 70 is fixedly connected to the inner wall of the iron cone 30 , and both ends of the thin rope 70 are fixedly connected to the inner wall of the iron cone 30 .
[0023] In this embodiment, after fine sand is poured into the iron cone 30 , the inverted iron cone 30 can be lifted by holding the string 70 .
[0024] Specifically, a card slot 80 is opened in the middle of the bottom end of the round box 10, and a threaded interface 90 is opened on the top surface of the card slot 80. The fine sand collection assembly 40 includes a tray 41, and a plurality of legs 42 are integrally connected to the bottom end of the tray 41. A stud 43 is threadedly connected to the middle of the bottom end of the tray 41, and a knob 44 is integrally connected to the bottom end of the stud 43. A card block 45 is integrally connected to the middle of the top end of the tray 41. The plurality of legs 42 are distributed in a circle, and the card block 45 is clamped on the card slot 80. The stud 43 is threadedly connected to the threaded interface 90.
[0025] In this embodiment, when pouring fine sand into the iron cone 30, excess fine sand can fall onto the tray 41, and the desktop will not be covered with fine sand. At the same time, when carrying, the ring-shaped knob 44 can also hang tea cups and other hangable items, which can further reduce the teacher's carrying burden.
[0026] The working principle and use process of the present invention are as follows: when carrying, the iron cone 30 with the magnetic rubber sheet 50 is placed in the round box 10, the stud 43 is threadedly connected to the threaded interface 90, and the entire fine sand collection assembly 40 is fixed to the bottom end of the round box 10, while the round storage box 21 is threadedly connected to the top surface of the round box 10. The handle 23 is held to lift the entire mathematical model, and teacups and other hangable items can also be hung on the knob 44. It is easy to carry and will not interfere with the teacher's taking of textbooks. When in use, put down the textbook, take down teacups and other hangable items, reverse the knob 44 to separate the stud 43 from the threaded interface 90, remove the heightened fine sand storage assembly 20, and take out the iron cone 30 with the magnetic rubber sheet 50. If it is necessary to teach the side area of the cone, the fitted magnetic rubber sheet 50 can be removed from the iron cone. The outer surface of the cone 30 is removed and unfolded into a fan shape, and the origin of the formula for the lateral area of the cone is 2πrl is explained. The steps are as follows: the fan-shaped magnetic rubber sheet 50 is coated with multiple thin wires 60, which can be divided into multiple triangles. By calculating the area of the triangles and multiplying by the number, the side of the magnetic rubber sheet 50 (cone) can be obtained to cultivate students' thinking. When teaching the volume of the cone, the volume of the cone is one-third of the cylinder. Place the iron cone 30 upside down so that the opening faces upward, open the round cover 22, take out part of the thin rope 70, pour the fine sand in the round storage box 21 into the iron cone 30 until it is full, lift the thin rope 70 and take out the iron cone 30, pour the fine sand on the iron cone 30 into the round box 10, do this three times, and observe that the round box 10 is exactly full.
[0027] It should be noted that, in this document, terms such as "comprises," "includes," or any other variations thereof are intended to encompass non-exclusive inclusion, such that a process, method, article, or apparatus comprising a series of elements includes not only those elements but also other elements not explicitly listed, or elements inherent to such process, method, article, or apparatus. In the absence of further limitations, an element defined by the phrase "comprising a ..." does not exclude the presence of other identical elements in the process, method, article, or apparatus comprising the element.
[0028] Although the embodiments of the present invention have been shown and described, it will be understood by those skilled in the art that various changes, modifications, substitutions and variations may be made to these embodiments without departing from the principles and spirit of the present invention, and the scope of the present invention is defined by the appended claims and their equivalents.
Claims
1. A mathematical model for cultivating mathematical thinking, characterized in that: The invention comprises a round box (10), the top surface of the round box (10) is threadedly connected to a fine sand storage assembly (20), a sheet metal cone (30) is placed in the round box (10), the bottom of the sheet metal cone (30) is open, a fine sand collection assembly (40) is provided at the bottom end of the round box (10), the outer side of the sheet metal cone (30) is wrapped with a magnetic rubber sheet (50), the magnetic rubber sheet (50) can be unfolded into a fan-shaped structure, and the outer wall of the magnetic rubber sheet (50) is coated with a plurality of equally spaced fine lines (60).
2. The mathematical model for cultivating mathematical thinking according to claim 1, wherein: The fine sand storage assembly (20) comprises a circular storage box (21), the top surface of the circular storage box (21) is threadedly connected to a circular cover (22), the top surface of the circular cover (22) is integrally connected to a handle (23), and the bottom end of the circular storage box (21) is threadedly connected to the top surface of the circular box (10).
3. The mathematical model for cultivating mathematical thinking according to claim 1, wherein: A thin rope (70) is fixedly connected to the inner wall of the iron cone (30), and both ends of the thin rope (70) are fixedly connected to the inner wall of the iron cone (30).
4. The mathematical model for cultivating mathematical thinking according to claim 1, wherein: A slot (80) is provided at the middle of the bottom end of the round box (10), and a threaded interface (90) is provided on the top surface of the slot (80).
5. The mathematical model for cultivating mathematical thinking according to claim 4, characterized in that: The fine sand collection assembly (40) comprises a tray (41), the bottom end of the tray (41) is integrally connected to a plurality of legs (42), the middle portion of the bottom end of the tray (41) is threadedly connected to a stud (43), the bottom end of the stud (43) is integrally connected to a knob (44), and the middle portion of the top end of the tray (41) is integrally connected to a block (45).
6. The mathematical model for cultivating mathematical thinking according to claim 5, characterized in that: The plurality of legs (42) are distributed in a circumference, the clamping block (45) is clamped on the clamping groove (80), and the stud (43) is threadedly connected to the threaded interface (90).