CN115100922A

CN115100922A - Probability demonstration equipment for mathematical teaching

Info

Publication number: CN115100922A
Application number: CN202111672185.7A
Authority: CN
Inventors: 杨春志; 向伟
Original assignee: Huainan Normal University
Current assignee: Huainan Normal University
Priority date: 2021-12-31
Filing date: 2021-12-31
Publication date: 2022-09-23

Abstract

The invention belongs to the technical field of teaching aids, in particular to probability demonstration equipment for mathematical teaching, which comprises: the device comprises a fixed frame, a rotary table and a pointer, wherein the fixed frame is fixedly connected with a fixed shaft; a plurality of concentric rings are arranged on the circumferential outer side of the turntable, rubber columns are connected to the circumferences of the turntable and the rings in a sliding mode, and the pointer is sleeved on the fixed shaft; in the invention, the rubber column is arranged, so that the random events with multiple influence factors can be demonstrated, the multiple independent random events can be demonstrated respectively by arranging the multiple circular rings, the application range of the device is improved, a teacher can demonstrate more types of random incident occurrence conditions for students conveniently, so that the students can understand and learn and the teaching effect is improved.

Description

Probability demonstration equipment for mathematical teaching

Technical Field

The invention belongs to the technical field of teaching aids, and particularly relates to probability demonstration equipment for mathematical teaching.

Background

Probability, also known as "probability", is the amount of likelihood that a random event will occur. A random event is an event that may or may not occur under the same conditions. For example, a random sample is taken from a batch of good and bad merchandise, and "good sample" is a random event. Let n times of experiments and observations of a random phenomenon, where the event a occurs m times, i.e. its frequency of occurrence is m/n. After a large number of trial and error experiments, m/n is often closer and closer to a certain constant (the conclusion proves that see Bernoulli's law). The constant is the probability of occurrence of event a, and is usually represented by p (a).

In the prior art, in the process of mathematical education, when the contents of a probability part are related, a mathematic teacher often uses a turntable probability demonstration device to cooperate with explanation, so that students can understand conveniently, the teaching effect is improved, in the process of probability teaching, in order to be easily accepted by students, rotary-disc probability demonstration teaching aids are often adopted, are clear in color, convenient for students to accept and convenient to operate, however, the probability demonstration device can only adjust the probability by setting the area of each area of the turntable, and cannot set the adjustment probability of a plurality of influence factors, so that the demonstration of random events with a plurality of influence factors cannot be performed, and most of the tests can only be carried out on one independent random event at a time, and a plurality of independent random events cannot be demonstrated at the same time, so that the demonstration effect is limited, and the test tool is often idle due to single function and low in use frequency.

In view of this, the present invention provides a probability demonstration apparatus for mathematical education, which solves the above technical problems.

Disclosure of Invention

In order to solve the defects of the prior art, the invention provides probability demonstration equipment for mathematical education; through setting up the rubber column, can follow another dimension change probability on the one hand, make the demonstration of the random event of many influence factors can carry out, and make the pointer can only stop in the both sides of rubber column, make the position that the pointer points to be convenient for distinguish, conveniently observe the use, through setting up a plurality of rings, when carrying out multiple tests in single independent event on the one hand, can carry out a lot of simultaneously, improve the efficiency of demonstration, and can demonstrate a plurality of independent random events respectively, improve the application scope of this equipment, thereby solved most probability demonstration equipment and once can only carry out the experiment of an independent random event, can't demonstrate a plurality of independent random events simultaneously, make the demonstration effect limited, the less problem of application range.

The technical scheme adopted by the invention for solving the technical problem is as follows: the invention discloses a probability demonstration device for mathematical education, which comprises:

the fixing frame is fixedly connected with a fixing shaft;

the periphery of the turntable and the periphery of the circular ring are connected with rubber columns in a sliding mode, and the rubber columns are uniformly arranged;

the pointer is sleeved on the fixed shaft, and a telescopic part is arranged on the pointer.

Preferably, the pointer is kept away from the fixed orifices has been seted up to the one end of fixed axle, the fixed orifices internal fixation has the painting brush, the pointer is made for elastic material, the nib of painting brush is provided with a plurality ofly, and the colour of each nib is different, the nib of painting brush rotates to be installed on the penholder of painting brush.

Preferably, the width of the pen point of the brush is equal to the width of the circular ring.

Preferably, the brush is provided with a cap on one side close to the pen point in a rotating mode.

Preferably, the outer side of the pen cap is provided with a blackboard eraser.

Preferably, the turntable is provided with scale marks in the circumferential direction.

Preferably, the turntable is embedded with two semicircular plates, and the scale marks on the turntable are arranged on the semicircular plates.

Preferably, the fixed frame is provided with a sucker at one side far away from the turntable.

Preferably, the fixed shaft is detachably and fixedly connected with the fixed frame, and the fixed shaft is rotatably connected with the sucker.

Preferably, the upper surface of the telescopic part is also provided with scale marks along the radial direction of the turntable.

The invention has the following beneficial effects:

1. according to the probability demonstration device for mathematical teaching, the rubber column is arranged, on one hand, the probability can be changed from another dimension, so that the random events with multiple influence factors can be demonstrated, the pointer can only stop at two sides of the rubber column, the position pointed by the pointer can be conveniently distinguished, observation and use are convenient, on the other hand, when multiple tests are carried out in a single independent event, the tests can be carried out for multiple times, the demonstration efficiency is improved, multiple independent random events can be demonstrated respectively, the application range of the device is improved, and teachers can conveniently demonstrate more random event occurrence conditions for students, so that the students can understand and study conveniently, and the teaching effect is improved.

2. According to the probability demonstration device for mathematical teaching, the telescopic part is arranged on the pointer, so that the pointer can be stretched to a proper length when the ring is used for probability demonstration, and the area pointed by the pointer can be conveniently determined when the ring stops rotating, so that the accuracy of recording is ensured, and the frequency is close to the probability.

3. According to the probability demonstration device for mathematical teaching, the painting brush is arranged and fixed in the fixing hole, different colors are coated on the regions of the rotary disc and the circular ring according to demonstration requirements during probability demonstration, the telescopic part of the pointer is stretched when the rotary disc and the circular ring are coated with the colors, the length of the pointer is adjusted, the rotary disc or the circular ring is rotated, and the corresponding colors are coated in the corresponding regions, so that the rotary disc is divided into a plurality of regions.

4. According to the probability demonstration equipment for mathematical education, the two semicircular plates are embedded on the rotary table, so that when a teacher needs to use the protractor to perform drawing in the teaching process, the semicircular plates on the rotary table can be detached from the rotary table, the semicircular plates are used as the protractor to perform drawing, the probability demonstration equipment is convenient to use, and the applicability of the equipment is improved.

5. According to the probability demonstration equipment for mathematical teaching, the fixed shaft is detachably fixed on the fixing frame and can be rotatably connected with the sucker, compasses are sometimes needed to be used for drawing in the teaching process of a mathematic teacher, the fixed shaft, the pointer and the sucker can be detached from the fixing frame at the moment, the fixed shaft is connected with the sucker, a chalk is fixed in the fixing hole of the pointer, the sucker is fixed on the blackboard, the pointer can be rotated to draw circles, the probability demonstration equipment is convenient to operate, the applicability of the equipment is improved, and the application range of the equipment is expanded.

Drawings

The invention will be further explained with reference to the drawings.

FIG. 1 is a front perspective view of the present invention;

FIG. 2 is a rear perspective view of the present invention;

FIG. 3 is a diagram of an embodiment of the present invention in which a pointer is used as a compass;

FIG. 4 is an enlarged view of a portion A of FIG. 1;

in the figure: 1. a fixed mount; 11. a fixed shaft; 12. a suction cup; 2. a turntable; 21. a semicircular plate; 22. a rubber column; 3. a circular ring; 4. a pointer; 41. a telescopic part; 42. a fixing hole; 5. painting brushes; 51. a pen cap; 52. a blackboard eraser is provided.

Detailed Description

The present invention will be further described with reference to the following detailed description so that the technical means, the creation features, the achievement purposes and the effects of the present invention can be easily understood.

As shown in fig. 1 to 4, a probability demonstration apparatus for mathematical education according to the present invention includes:

the fixing frame 1 is fixedly connected with a fixing shaft 11;

the rotary table 2 is provided with a plurality of concentric rings 3 on the circumferential outer side of the rotary table 2, the rotary table 2 and the rings 3 are respectively rotatably connected with the fixed shaft 11, rubber columns 22 are slidably connected on the circumferences of the rotary table 2 and the rings 3, and the rubber columns 22 are uniformly arranged;

the pointer 4 is sleeved on the fixed shaft 11, and a telescopic part 41 is arranged on the pointer 4;

in the prior art, most probability demonstration equipment can only perform a test of one independent random event at a time, and cannot simultaneously demonstrate a plurality of independent random events, so that the demonstration effect is limited, the application range is small, and the areas of all areas of most turntables 2 are fixed, so that the demonstration requirements are inconvenient to change;

in the invention, by arranging the rubber column 22, when probability teaching demonstration is carried out and probability needs to be adjusted, after the areas of the turntable 2 and the ring 3 are set, the rubber column 22 is pushed to enable the rubber column 22 to be in contact with the pointer 4, so that when the turntable 2 or the ring 3 is rotated, the friction between the area and the pointer 4 is increased, and the probability of the pointer 4 staying is increased, thereby realizing the demonstration of random events with multiple influence factors, enriching the application range of the equipment, at the initial rotation stage, the rubber column 22 is bent and deformed after being in contact with the pointer 4, the turntable 2 and the ring 3 can continue to rotate through the pointer 4, at the later rotation stage, the rubber column 22 stops to enable the turntable 2 or the ring 3 to stay between the rubber columns 22, and by arranging a plurality of concentric rings 3, when the teaching demonstration is carried out, the fixing frame 1 of the equipment is placed on a horizontal table board, rotating the rotary disc 2 and the circular ring 3 according to the requirement of teaching demonstration, because the rotary disc 2 and the circular ring 3 are respectively connected with the fixed shaft 11 in a rotating way, the rotation between the rotary disc 2 and each circular ring 3 has no mutual influence, when demonstrating an independent event, the rotary disc 2 is divided into a plurality of fan-shaped areas according to the requirement, each area represents a possibility, the rotary disc 2 is manually shifted, the rotary disc 2 rotates around the fixed shaft 11, under the action of friction force between the rotary disc 2 and the fixed shaft 11, the rotary disc 2 stops rotating, the frequency of event reaction of the area indicated by the pointer 4 is increased once and recorded, in order to lead the frequency of event occurrence to be close to the probability, a plurality of tests need to be carried out, the circular rings 3 can be simultaneously rotated, the demonstration efficiency is improved, when carrying out a plurality of independent events, the rotary disc 2 and the circular rings 3 are simultaneously rotated, the rotary disc 2 and each circular ring 3 respectively represent different independent events, the areas of the turntable 2 and the ring 3 which are divided represent various possibilities of each independent event, the areas of the turntable 2 and the ring 3 which are pointed by the pointer 4 are respectively recorded, so that the demonstration of a plurality of independent random events can be simultaneously carried out, the pointer 4 is provided with the telescopic part 41, when the ring 3 is used for probability demonstration, the pointer 4 can be stretched to a proper length and can be contacted with the rubber column 22 on the ring 3, when the ring 3 stops rotating, the area which is pointed by the pointer 4 is convenient to determine, so that the accuracy of recording is ensured, and the frequency is close to the probability, in the invention, the probability can be changed from another dimension by arranging the rubber column 22, so that the demonstration of the random events with multiple influence factors can be carried out, and the pointer 4 can only stay at two sides of the rubber column 22, so that the position which is pointed by the pointer 4 is convenient to distinguish, the convenient use of observing through setting up a plurality of rings 3, when carrying out many times in single independent incident on the one hand experimental, can carry out a lot of simultaneously, improves the efficiency of demonstration, and can demonstrate a plurality of independent random incidents respectively, improves the application scope of this equipment, makes things convenient for mr to demonstrate more random incident emergence circumstances for the student to the student of being convenient for understands the study, improves the teaching effect.

As an embodiment of the invention, a fixing hole 42 is formed in one end of the pointer 4, which is far away from the fixing shaft 11, a painting brush 5 is fixed in the fixing hole 42, the pointer 4 is made of an elastic material, a plurality of pen points of the painting brush 5 are arranged, the colors of the pen points are different, and the pen point of the painting brush 5 is rotatably mounted on a pen holder of the painting brush 5; by arranging the painting brush 5, the painting brush 5 is fixed in the fixing hole 42, when probability demonstration is carried out, different colors are coated on the turntable 2 and the ring 3 according to demonstration requirements, when the turntable 2 and the ring 3 are coated with the colors, the telescopic part 41 of the pointer 4 is stretched, the length of the pointer 4 is adjusted, the pointer 4 is made of elastic materials such as spring steel or bamboo sheets, the pointer 4 is pressed to enable the pen point of the painting brush 5 to be in contact with the turntable 2 and the ring 3, the turntable 2 or the ring 3 is rotated, corresponding colors are coated in corresponding areas, the turntable 2 is divided into a plurality of areas, or in order to improve the efficiency of dividing the areas, the telescopic part 41 is used for marking on the turntable 2 or the ring 3, the telescopic part 41 can be used for marking radial straight lines which are outwards dispersed on the periphery of the turntable 2 and the ring 3 by the fixing shaft 11 without a ruler, the use is convenient, and the turntable 2 and the ring 3 are divided into different areas, coloring and accomplishing the back, loosen pointer 4, pointer 4 elasticity resets and makes painting brush 5's nib and carousel 2 and ring 3 separation, nib through setting up multiple colour, when needing to use different colours to color carousel 2 or ring 3, only need to rotate the nib, the nib that will correspond the colour rotates the one side that is close to carousel 2, scribe or paint, need not change painting brush 5 repeatedly, thereby convenient to use, through setting up painting brush 5, be convenient for set up the region as required, and convenient to use, and through corresponding different colours of regional packing, each regional colour is clear, be convenient for observe, and the colour of multicolored can promote student's interest in learning, improve teaching quality.

As an embodiment of the invention, the width of the pen tip of the brush 5 is equal to the width of the ring 3; the during operation, through setting up the width with ring 3 with the width of painting brush 5 for when coloring ring 3, only need rotate ring 3 and can accomplish coloring to ring 3, needn't reciprocal paint, improve the efficiency of coloring, and on being difficult for scribbling other rings 3, avoid influencing other rings 3 and color, thereby facilitate the use, color the completion back, take down painting brush 5 from fixed orifices 42 can.

As an embodiment of the present invention, the painting brush 5 is rotatably mounted with a cap 51 at a side close to the pen tip; the during operation is accomplished the back at the look through setting up cap 51, rotatory cap 51, with the nib cover parcel of painting brush 5, reduces that coating on the nib is volatilized, and is dry, and can prevent to fall the ash to protect the nib of painting brush 5, thereby facilitate the use.

As an embodiment of the present invention, an eraser 52 is disposed outside the cap 51; the during operation, through setting up drawing board eraser 52, when the distribution in each region on carousel 2 or ring 3 is revised to needs, rotate cap for 51, make drawing board eraser 52 and carousel 2 or ring 3 contact, rotate carousel 2 or ring 3, erase the coating on carousel 2 or ring 3, be convenient for color again, convenient to use, and when rotating cap for 51, drawing board eraser 52 is protruding to increase the stress point, conveniently rotates cap for 51.

As an embodiment of the present invention, the turntable 2 is provided with scale lines in the circumferential direction; the during operation is through setting up the scale mark on carousel 2 for when coloring, be convenient for according to the probability division region of coloring, improve the precision of coloring, ensure that the size in each region is corresponding with the probability that corresponds, guarantee the experimental accuracy of probability.

As an embodiment of the present invention, two semicircular plates 21 are embedded on the turntable 2, and the scale marks on the turntable 2 are arranged on the semicircular plates 21; during operation, through inlaying two semicircle plates 21 on carousel 2, when the in-process of giving lessons needs to use the protractor to carry out the mapping at mathematics mr, can lift off the semicircle plate 21 on carousel 2 from carousel 2, use semicircle plate 21 as the protractor to carry out the mapping, facilitate the use, improve the suitability of this equipment.

As an embodiment of the present invention, a suction cup 12 is installed on the side of the fixing frame 1 far away from the turntable 2; the during operation, through installing sucking disc 12 on mount 1, when fixing this equipment, can be fixed this equipment to the plane through sucking disc 12 on, be convenient for fix to horizontal plane and vertical face on, can fix according to operation requirement, facilitate the use, and sucking disc 12 is fixed comparatively firmly, is difficult for rocking when coloring or rotating carousel 2 and ring 3, and convenient operation improves the practicality of this equipment.

As an embodiment of the present invention, the fixed shaft 11 is detachably and fixedly connected to the fixed frame 1, and the fixed shaft 11 is rotatably connected to the suction cup 12; when the chalk fixing device works, the fixing shaft 11 is detachably fixed on the fixing frame 1, the fixing shaft 11 can be rotatably connected with the sucker 12, compasses are sometimes needed to be used for drawing in the teaching process of a mathematic teacher, at the moment, the fixing shaft 11, the pointer 4 and the sucker 12 can be detached from the fixing frame 1, the fixing shaft 11 is connected with the sucker 12, chalks are fixed in the fixing hole 42 of the pointer 4, the sucker 12 is fixed on a blackboard, the pointer 4 can be rotated to draw circles, the chalk fixing device is convenient to operate, the applicability of the device is improved, and the application range of the device is expanded.

In an embodiment of the present invention, the upper surface of the extensible part 41 is also provided with scale marks along the radial direction of the turntable 2, and in operation, by providing the scale marks on the extensible part 41, when drawing a circle, it is convenient to draw an arc or a circle with an accurate radius by stretching or shrinking the extensible part 41 on the pointer 4 according to the drawing requirement and adjusting the length of the pointer 4, thereby improving the drawing accuracy, facilitating the operation and improving the practicability of the device.

The specific working process is as follows:

in the working process, by arranging the rubber column 22, when probability teaching demonstration is carried out, when the probability needs to be adjusted, after the areas of the turntable 2 and the ring 3 are set, the rubber column 22 is pushed to enable the rubber column 22 to be in contact with the pointer 4, so that when the turntable 2 or the ring 3 is rotated, the friction between the area and the pointer 4 is increased, the probability of the pointer 4 staying is increased, thereby realizing the demonstration of random events with multiple influence factors, enriching the application range of the equipment, at the initial rotation stage, the rubber column 22 is bent and deformed after being in contact with the pointer 4, the turntable 2 and the ring 3 can continue to rotate through the pointer 4, at the later rotation stage, the rubber column 22 stops to enable the turntable 2 or the ring 3 to stop, so that the pointer 4 stays between the rubber column 22, by arranging a plurality of concentric rings 3, when the probability teaching demonstration is carried out, the fixing frame 1 of the equipment is placed on a horizontal table board, rotating the rotary disc 2 and the circular ring 3 according to the requirement of teaching demonstration, because the rotary disc 2 and the circular ring 3 are respectively connected with the fixed shaft 11 in a rotating way, the rotation between the rotary disc 2 and each circular ring 3 has no mutual influence, when demonstrating an independent event, the rotary disc 2 is divided into a plurality of fan-shaped areas according to the requirement, each area represents a possibility, the rotary disc 2 is manually shifted, the rotary disc 2 rotates around the fixed shaft 11, under the action of friction force between the rotary disc 2 and the fixed shaft 11, the rotary disc 2 stops rotating, the frequency of event reaction of the area indicated by the pointer 4 is increased once and recorded, in order to lead the frequency of event occurrence to be close to the probability, a plurality of tests need to be carried out, the circular rings 3 can be simultaneously rotated, the demonstration efficiency is improved, when carrying out a plurality of independent events, the rotary disc 2 and the circular rings 3 are simultaneously rotated, the rotary disc 2 and each circular ring 3 respectively represent different independent events, each divided area on the turntable 2 and the ring 3 represents various possibilities of each independent event, the turntable 2 and each ring 3 area pointed by the pointer 4 are respectively recorded, so that the demonstration of a plurality of independent random events can be simultaneously carried out, the telescopic part 41 is arranged on the pointer 4, when the ring 3 is used for probability demonstration, the pointer 4 can be stretched to a proper length, when the ring 3 stops rotating, the area pointed by the pointer 4 is convenient to determine, so that the recording accuracy is ensured, the frequency is close to the probability, when different colors are needed to color the turntable 2 or the ring 3 by arranging nibs with various colors, only the nib is needed to be rotated to one side close to the turntable 2, the corresponding color is scribed or painted, the painting brush 5 is not needed to be repeatedly replaced, so that the use is convenient, by arranging the painting brush 5, the multifunctional student desk is convenient for setting regions as required and using, and different colors are filled in the corresponding regions, so that the regions are clear in color and convenient for observation, and the colorful colors can improve the learning interest of students and improve the teaching quality.

The foregoing shows and describes the general principles, principal features and advantages of the invention. It will be understood by those skilled in the art that the present invention is not limited to the embodiments described above, which are merely illustrative of the principles of the present invention, but that various changes and modifications may be made without departing from the spirit and scope of the invention, which fall within the scope of the invention as claimed. The scope of the invention is defined by the appended claims and equivalents thereof.

Claims

1. A probability demonstration apparatus for mathematical education, comprising:

the fixing frame (1), the fixed shaft (11) is fixedly connected to the fixing frame (1);

the rotary table (2) is provided with a plurality of concentric rings (3) on the circumferential outer side of the rotary table (2), the rotary table (2) and the rings (3) are respectively rotatably connected with the fixed shaft (11), rubber columns (22) are connected to the circumferences of the rotary table (2) and the rings (3) in a sliding mode, and the rubber columns (22) are uniformly arranged;

the pointer (4), pointer (4) cover is established on fixed axle (11), be provided with pars contractilis (41) on pointer (4).

2. A probability demonstration apparatus for use in mathematical education as claimed in claim 1 wherein: keep away from pointer (4) fixed orifices (42) have been seted up to the one end of fixed axle (11), fixed orifices (42) internal fixation has painting brush (5), pointer (4) are made for elastic material, the nib of painting brush (5) is provided with a plurality ofly, and the colour of each nib is different, the nib of painting brush (5) is rotated and is installed on the pen-holder of painting brush (5).

3. A probability demonstration apparatus for mathematical education as claimed in claim 2 wherein: the width of the pen point of the painting brush (5) is equal to that of the ring (3).

4. A probability demonstration apparatus for mathematical education as claimed in claim 3 wherein: the brush (5) is provided with a cap (51) at one side close to the brush hair in a rotating way.

5. A probability demonstration apparatus for mathematical education as claimed in claim 4 wherein: the outer side of the pen cap (51) is provided with a blackboard eraser (52).

6. A probability demonstration apparatus for mathematical education as claimed in any one of claims 2 to 5 wherein: the rotary table (2) is provided with scale marks in the circumferential direction.

7. A probability demonstration apparatus for use in mathematical education as claimed in claim 6 wherein: the turntable is characterized in that two semicircular plates (21) are embedded on the turntable (2), and scale marks on the turntable (2) are arranged on the semicircular plates (21).

8. A probability demonstration apparatus for use in mathematical education as claimed in claim 7 wherein: and a sucker (12) is arranged on one side of the fixed frame (1) (1) far away from the turntable (2).

9. A probability demonstration apparatus for use in mathematical education as claimed in claim 8 wherein: the fixed shaft (11) is detachably and fixedly connected with the fixed frame (1), and the fixed shaft (11) is rotatably connected with the sucker (12).

10. A probability demonstration apparatus for use in mathematical education as claimed in claim 9 wherein: the upper surface of the telescopic part (41) is also provided with scale marks along the radial direction of the turntable (2).