A probability demonstration device for mathematics teaching

By designing a probability demonstration device that includes storage, rollout and throwing mechanisms, the problem of difficult to master classical probability formulas is solved, and intuitive teaching tools are provided, which simplifies the experimental process and improves teaching efficiency.

CN111261003BActive Publication Date: 2025-01-03林淡钦
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Patent Information

Application Number
CN202010120733.4
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2020-02-26
Publication Date
2025-01-03
Estimated Expiration
2040-02-26

AI Technical Summary

Technical Problem

Classical probability formulas are difficult to master through explanations alone in advanced mathematics teaching. They require more experiments as support, and lack intuitive demonstration devices to assist teaching.

Method used

Design a probability demonstration device, including a storage mechanism, a push mechanism and a throwing mechanism, through storage cylinder, limit plate, reel, pull wire, spring, motor drive rocker and connecting rod, realize automatic push and throwing of coins, which is convenient for statistics. Two sides facing last number of times.

Benefits of technology

It provides an intuitive teaching tool, which helps students intuitively understand the classical probability formula through the self-weight fall and throwing of coins, simplifies the number of experiments and improves teaching efficiency.

✦ Generated by Eureka AI based on patent content.

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Abstract

A probability demonstration device for mathematics teaching is used to realize the deduction of classical probability formulas. It includes: a base, with an ear plate on the top of the base; a storage mechanism, the storage mechanism includes a storage cylinder, a fixed ring fixed at the bottom of the storage cylinder, a pair of limit plates slidably arranged at the bottom of the fixed ring, a spring arranged between the limit plate and the fixed ring, a pair of wire wheels arranged at the top of the storage cylinder, and a pull line arranged between the wire wheels and the corresponding limit plates; a push mechanism, which is arranged on the left side of the storage cylinder and is used to push the coin at the bottom of the storage cylinder to the right side of the storage cylinder; a throwing mechanism, which includes a seesaw hinged to the base, a support plate fixed at the front end of the seesaw, and a driving unit arranged on the base to drive the seesaw to swing, and a groove is arranged on the top of the base, and the support plate is placed in the groove in the natural state. The device can conveniently realize the demonstration of probability.
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Description

Technical Field

[0001] The invention relates to the technical field of advanced mathematics teaching, in particular to a probability demonstration device used for mathematics teaching. Background Art

[0002] Probability is one of the most difficult knowledge points in advanced mathematics to master through explanation alone. Classical probability is the first concept we come into contact with in probability learning. The deduction of classical probability formulas requires a large number of experiments as support. Summary of the invention

[0003] The purpose of the present invention is to provide a probability demonstration device for mathematics teaching, which is used to realize the deduction of classical probability formulas.

[0004] The technical solution adopted by the present invention to solve the technical problem is: a probability demonstration device for mathematics teaching, characterized in that it comprises:

[0005] A base having an ear plate on the top of the base;

[0006] The storage mechanism includes a storage cylinder, a fixed ring fixed at the lower part of the storage cylinder, a pair of limit plates slidably arranged at the bottom of the fixed ring, a spring arranged between the limit plates and the fixed ring, a pair of wire wheels arranged at the upper part of the storage cylinder, and a pull line arranged between the wire wheels and the corresponding limit plates. Under the action of the spring, the limit plate is placed at the lower part of the inner cavity of the storage cylinder. When the wire wheel is rotated, the limit plate is pulled by the pull line so that the limit plate is moved away from the lower part of the inner cavity of the storage cylinder.

[0007] An ejection mechanism is arranged on the left side of the storage cylinder and is used to eject the coin at the bottom of the storage cylinder to the right side of the storage cylinder;

[0008] The throwing mechanism comprises a seesaw hinged to a base, a support plate fixed to the front end of the seesaw, and a driving unit arranged on the base for driving the seesaw to swing. A groove is arranged on the top of the base, and the support plate is placed in the groove in a natural state.

[0009] Furthermore, a pair of mounting grooves are provided on the fixed ring, in which a first guide wheel and a second guide wheel are rotatably installed, the first end of the pull wire is fixedly connected to the limit plate, the second end of the pull wire is fixedly connected to the outer wall of the wire wheel, and the pull wire is in contact with both the first and second guide wheels.

[0010] Furthermore, the wire wheel is coaxially arranged with the driven gear, and a driving gear meshing with the driven gear is rotatably mounted on the upper part of the storage cylinder.

[0011] Furthermore, the driving mechanism includes a motor fixed on the base, a crank fixed on the output end of the motor, and a connecting rod hinged to the rear end of the rocker, and the connecting rod is also hinged to the crank.

[0012] Furthermore, a pair of ears are fixed on the top of the base, and the ears are hinged to the rocker.

[0013] Furthermore, a fixing ring is fixed on the top of the base, a limiting ring is placed inside the fixing ring, and an outer wall of the limiting ring is in contact with an inner wall of the fixing ring.

[0014] The beneficial effect of the present invention is that: the present invention provides a probability demonstration device for mathematics teaching, in which coins fall under their own weight, and the coins moved out of the storage tube are moved out of the storage tube under the action of the pushing mechanism, and then thrown out by the throwing mechanism, and then statistics can be performed. BRIEF DESCRIPTION OF THE DRAWINGS

[0015] Figure 1 It is a front schematic diagram of the present invention;

[0016] Figure 2 for Figure 1 Schematic diagram after removing the enclosure;

[0017] Figure 3 is a schematic diagram of the push-out mechanism;

[0018] Figure 4 is a schematic diagram of the throwing mechanism;

[0019] Figure 5 is a schematic diagram of a storage mechanism;

[0020] Figure 6 It is a schematic diagram of the internal structure of the storage mechanism;

[0021] Figure 7 for Figure 5 A-direction view in the figure;

[0022] Figure 8 for Figure 6 A local enlarged schematic diagram of point B in FIG.

[0023] Fig. 9 A schematic diagram of the placement of coins in the storage tube;

[0024] In the figure: 1 base, 11 enclosure, 12 ears, 2 electric telescopic rod, 21 push plate, 3 rocker, 31 support plate, 32 ear plate, 33 connecting rod, 34 crank, 35 motor, 4 positioning ring, 41 opening, 5 storage cylinder, 6 fixing ring, 61 limit plate, 611 spring plate, 612 spring, 62 mounting groove, 63 first guide wheel, 64 second guide wheel, 65 pull wire, 66 wire wheel, 67 driven gear, 68 driving gear, 69 knob, 7 coin. DETAILED DESCRIPTION

[0025] like Figures 1 to 9As shown, the present invention mainly includes a base 1, a panel 11, a pushing mechanism, a storage mechanism and a throwing mechanism. The present invention is described in detail below in conjunction with the accompanying drawings.

[0026] like Figure 1 , Figure 2 As shown, the base 1 is a rectangular structure, and a panel 11 is fixed on the top of the base. The panel is a closed structure and includes four side walls. A positioning ring 4 is provided at the left end of the top of the base. The positioning ring is a circular ring structure. An opening 41 is provided on the side wall at the bottom of the positioning ring to facilitate the removal of coins.

[0027] Install the storage mechanism on the positioning ring, such as Figures 5 to 9 As shown, the storage mechanism includes a cylindrical storage tube 5, a fixed ring 6 fixed on the outer wall of the lower part of the storage tube, a pair of limit plates 61 arranged left and right at the bottom of the fixed ring, a first guide wheel 63 rotatably installed in the mounting groove 62 on the fixed ring, a second guide wheel 64 rotatably installed in the mounting groove on the fixed ring, a pair of wire wheels 66 rotatably installed on the outer wall of the upper part of the storage tube, a driven gear 67 coaxially arranged with the wire wheel, a driving gear 68 rotatably installed on the outer wall of the upper part of the storage tube, a pull line 65 arranged between the limit plate and the wire wheel, a spring plate 611 fixed at the bottom of the fixed ring, a spring 612 arranged between the spring plate and the limit plate, a knob 69 is fixed on the driving gear, and the driving gear is meshed with the driven gear. The mounting groove is a pair of left and right, the first end of the pull line is fixedly connected to the limit plate, and after the pull line contacts the first and second guide wheels, the second end of the pull line is wound around the outer wall of the wire wheel. Under the action of the spring, a section of the limit plate is placed below the inner cavity of the storage tube, thereby playing a role in lifting the coins in the storage tube. When the knob is turned, the wire can be wound around the wire wheel, and then the wire can pull the limit plate to move away from the bottom of the storage tube. After the limit plate is moved away from the bottom of the storage tube, the coins in the storage tube fall down under their own gravity. Fig. 9 As shown, a coin 7 is placed in the storage tube. A damping member is provided between the wire wheel and the storage tube, so that the spring is fixed after being compressed under the action of the damping member, and the limit plate is relatively fixed to the fixing ring.

[0028] A push-out mechanism is provided on the base, such as Figure 3 As shown, the push mechanism includes an electric telescopic rod 2 fixed on the top of the base and a push plate 21 fixed on the electric telescopic rod. Under the action of the electric telescopic rod, the push plate can pass through the gap and enter the positioning ring.

[0029] When in use, the lower part of the storage tube is placed in the positioning ring, and the outer wall of the fixing ring contacts the inner wall of the positioning ring, thereby fixing the storage tube. By rotating the knob, the two limit plates can be driven to move to both sides. When the limit plates are moved away from the bottom of the storage tube cavity, the coins 7 in the storage tube fall under their own weight and the coin at the bottom moves out of the storage tube. The thickness of the push plate is equal to the thickness of the coin and the thickness of the limit plate.

[0030] In order to realize the tossing of the coin, a tossing mechanism is also provided on the top of the base, such as Figure 3 , Figure 4 As shown, a pair of ears 12 are fixed on the top of the base, a seesaw 3 is hingedly mounted on the ears, a support plate 31 is fixed at the front end of the seesaw, and a groove for accommodating the support plate is provided at the top of the base. A motor 35 is fixed on the top of the base, a crank 34 is fixed at the output end of the motor, an ear plate 32 is fixed at the rear end of the seesaw, a connecting rod 33 is provided between the ear plate and the crank, and the connecting rod and the ear plate, and the connecting rod and the crank are all hingedly connected. Under the action of the motor, the seesaw can be driven to swing around the hinge point, and when the rear end of the seesaw moves downward, the support plate at the front end of the seesaw throws the coin, thereby realizing the throwing of the coin. When the rear end of the seesaw is placed at the highest point, the support plate is placed in the groove, and at this time, the ejection mechanism can push the coin in the storage tube onto the support plate. The motor, crank and connecting rod constitute a driving unit.

[0031] The use of the present invention is described below:

[0032] (1) Place a coin in the storage tube, then place the storage tube on the fixing ring, and rotate the knob to move the limit plate away from the bottom of the storage tube cavity;

[0033] (2) The electric telescopic rod is driven to move, and the push plate continuously moves back and forth in and out of the fixed ring, pushing the coins in the storage tube onto the support plate one by one;

[0034] (3) After the coin is placed on the support plate, the motor starts to move and the coin is thrown out;

[0035] (4) After all coins have been tossed, count the number of coins with two sides facing up.

Claims

1. A probability demonstration device for mathematics teaching, characterized in that it include: A base having an ear plate on the top of the base; The storage mechanism includes a storage cylinder, a fixed ring fixed at the lower part of the storage cylinder, a pair of limit plates slidably arranged at the bottom of the fixed ring, a spring arranged between the limit plates and the fixed ring, a pair of wire wheels arranged at the upper part of the storage cylinder, and a pull line arranged between the wire wheels and the corresponding limit plates. Under the action of the spring, the limit plate is placed at the lower part of the inner cavity of the storage cylinder. When the wire wheel is rotated, the limit plate is pulled by the pull line so that the limit plate is moved away from the lower part of the inner cavity of the storage cylinder. An ejection mechanism is arranged on the left side of the storage cylinder and is used to eject the coin at the bottom of the storage cylinder to the right side of the storage cylinder; The throwing mechanism comprises a seesaw hinged to a base, a support plate fixed to the front end of the seesaw, and a driving unit arranged on the base to drive the seesaw to swing; a groove is arranged on the top of the base, and the support plate is placed in the groove in a natural state; a pair of mounting grooves are arranged on the fixed ring, and a first guide wheel and a second guide wheel are rotatably mounted in the mounting grooves; the first end of the pull wire is fixedly connected to the limit plate, and the second end of the pull wire is fixedly connected to the outer wall of the wire wheel, and the pull wire contacts both the first and second guide wheels; the wire wheel is coaxially arranged with the driven gear, and a driving gear meshing with the driven gear is rotatably mounted on the upper part of the storage cylinder.

2. A probability demonstration device for mathematics teaching according to claim 1, characterized in that: The driving mechanism comprises a motor fixed on the base, a crank fixed on the output end of the motor, and a connecting rod hinged to the rear end of the rocker, wherein the connecting rod is also hinged to the crank.

3. A probability demonstration device for mathematics teaching according to claim 1, characterized in that: A pair of supporting ears are fixed on the top of the base, and the supporting ears are hinged to the rocker.

4. A probability demonstration device for mathematics teaching according to claim 1, characterized in that: A fixing ring is fixed on the top of the base, a limiting ring is arranged inside the fixing ring, and an outer wall of the limiting ring contacts an inner wall of the fixing ring.