CN209607232U - Mathematics teaching aid for probability and statistical power training - Google Patents

Mathematics teaching aid for probability and statistical power training Download PDF

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Publication number
CN209607232U
CN209607232U CN201820927805.4U CN201820927805U CN209607232U CN 209607232 U CN209607232 U CN 209607232U CN 201820927805 U CN201820927805 U CN 201820927805U CN 209607232 U CN209607232 U CN 209607232U
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China
Prior art keywords
probability
colour table
statistical power
teaching aid
power training
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Expired - Fee Related
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CN201820927805.4U
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Chinese (zh)
Inventor
张文宇
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Beijing You Lan Lan Culture Development Co Ltd
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Beijing You Lan Lan Culture Development Co Ltd
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Abstract

The utility model provides a kind of mathematics teaching aid for probability and statistical power training, including rotating device and statistic device;Rotating device includes rotating disk, colour table and rotary shaft;Statistic device includes statistics disk and several color cards.The 1st horizontal slot is equidistantly opened up in the housing of bearing;The outer edge correspondence of rotating disk opens up the 2nd horizontal slot;The side of each colour table has the 1st plug-in unit, the other side has the 2nd plug-in unit, the 1st plug-in unit of colour table is set to be inserted into the 1st horizontal slot, the 2nd plug-in unit of colour table is set to be inserted into the 2nd horizontal slot, complete circular outcome display panel is formed after the completion of multiple colour table grafting has the advantage that the utility model provides a kind of mathematics teaching aid for probability and statistical power training, not only comprehensively and effectively the probability of student and statistical power can be trained, and, the interest in probability and statistical power training process can be significantly increased, to give full play to the learning initiative of student, improve learning effect.

Description

Mathematics teaching aid for probability and statistical power training
Technical field
The utility model belongs to mathematics teaching aid technical field, and in particular to a kind of number for probability and statistical power training Learn teaching aid.
Background technique
Mathematics Discipline is a very abstract subject, and probability and statistical power training are in the main foundation of mathematical education One of hold.In conventional probability and statistical power training teaching, the method that mainly uses are as follows: teacher or parent are imparted knowledge to students using books, Make the verbal description or picture in student viewing books, and carry out extensive application topic practice, to be appreciated and understood from probability and system Count knowledge.
However, since probability and statistical problem belong to uncertain mathematics, it is mainly asked existing for this kind of teaching method Entitled: (one) teaching method is uninteresting, particularly with low age student, is unable to fully the learning initiative of mobilizing students, leads to student Learning initiative it is poor, thus influence probability and statistical power training effect.(2) student is only by the training book side of doing one's exercises Formula study, it is not deep enough to the understanding and recoganization of probability and statistical knowledge, cause student to be difficult to get a real idea of probability and statistical knowledge Meaning, therefore, to student carry out probability and statistical power training effect it is poor.
Application No. is " 201720749506.1 ", the patent disclosure of entitled " a kind of mathematical probabilities teaching aid " is a kind of Mathematical probabilities teaching aid, [0015] Duan Gongkai the following contents: when the utility model is used, teacher can be from ball Storage case A balls are taken out in 10 to launch in funnel 7, ball be rolled to the first tee tube 1 one goes out in bulb, probability 1/2, Successively extracting corresponding plate 5 later, ball be rolled to corresponding second tee tube 2 one goes out in bulb, probability 1/4, Ball is rolled to one of corresponding third tee tube 3 and goes out in bulb, probability 1/8, and ball is from corresponding 4th tee tube 4 One goes out bulb and rolls out to folding and unfolding slot 8, probability 1/16;Teacher also can adjust successively launch after suitable plate 5 it is multiple Ball, successively to launch three balls and roll respectively to the probability of designated position, first ball is such as with the first threeway It is designated position that one of pipe 1, which goes out bulb, and it is specified that second ball, which such as goes out bulb with one of one of them the second tee tube 2, Position, third ball such as go out bulb as designated position using one of one of third tee tube 3, then three balls and difference The probability rolled to designated position is 1/2 × 1/4 × 1/8=1/64.The utility model can be said by adjusting plate, assisted teacher Solution ball is rolled to the probability for going out bulb of any first tee tube, the second tee tube, third tee tube or the 4th tee tube, will Abstract probability is intuitively shown, is understood convenient for student.
The patent application of above-mentioned " a kind of mathematical probabilities teaching aid " has the problem that student only throws ball It is placed in funnel 7, there is no need to other hands-ons, and therefore, the property of participation and visual sense of student is poor, on the one hand, can not The learning initiative for giving full play to student causes the learning initiative of student poor;In addition, student is to probability and statistical knowledge Understanding and recoganization is not deep enough, and student is caused to be difficult to get a real idea of the meaning of probability and statistical knowledge, therefore, carries out probability to student It is poor with the effect of statistical power training.
Utility model content
In view of the defects existing in the prior art, the utility model provides a kind of mathematics for probability and statistical power training Teaching aid can effectively solve the above problems.
The technical solution adopted in the utility model is as follows:
The utility model provide it is a kind of for probability and statistical power training mathematics teaching aid, including rotating device (1) and Statistic device (2);
The rotating device (1) includes rotating disk (1.1), colour table (1.6) and rotary shaft (1.9);The rotating disk (1.1) Bottom centre position chassis (1.2) are fixedly mounted, bearing is fixedly mounted in the top center of the rotating disk (1.1) (1.3), the lower part of the bearing (1.3) is embedded into the inside of the chassis (1.2), and make the housing of the bearing (1.3) with The inner wall of the chassis (1.2) is fixedly connected;The top of the bearing (1.3) extends in the disk of the rotating disk (1.1) It is rectangular at protruding portion;The rotary shaft (1.9) is vertically arranged, and the bottom of the rotary shaft (1.9) is embedded into the bearing (1.3) Inner sleeve;
Several the 1st horizontal slots (1.4) are equidistantly opened up in the housing of the bearing (1.3);The rotating disk (1.1) Outer edge correspondence open up several the 2nd horizontal slots (1.5);The side of each colour table (1.6) has the 1st plug-in unit (1.7), separately Side has the 2nd plug-in unit (1.8), and the 1st plug-in unit (1.7) of the colour table (1.6) is made to be inserted into the 1st horizontal slot (1.4), the 2nd plug-in unit (1.8) of the colour table (1.6) is made to be inserted into the 2nd horizontal slot (1.5), multiple colour tables (1.6) are inserted Complete circular outcome display panel is formed after the completion of connecing;
The statistic device (2) includes statistics disk (2.1) and several color cards (2.2).
Preferably, the colour table (1.6) is the colour table that front and back sides have solid color;Positive face color and reverse side color phase With or it is not identical.
Preferably, the colour table (1.6) is isosceles-trapezium-shaped, and the top margin of the isosceles trapezoid and bottom edge are arc.
Preferably, the obverse and reverse of the colour table (1.6) is respectively printed on number.
Preferably, the top of the rotary shaft (1.9) has handle (1.10).
Preferably, the statistics disk (2.1) is with reeded square plate.
Mathematics teaching aid provided by the utility model for probability and statistical power training has the advantage that
The utility model provides a kind of mathematics teaching aid for probability and statistical power training, on the one hand, student needs dynamic Hand assembly obtains complete mathematics teaching aid;On the other hand, student needs to start to rotate rotating disk, and rotating disk is made to start to rotate, and Observe result;On the other hand, student also needs the card by being put into corresponding color in statistics disk therefore can not only have comprehensively Effect is trained the probability and statistical power of student, furthermore, it is possible to significantly increase in probability and statistical power training process Interest improve learning effect to give full play to the learning initiative of student.
Detailed description of the invention
Fig. 1 is the schematic perspective view of rotating device provided by the utility model;
Fig. 2 is the side structure schematic view of rotating device provided by the utility model;
Fig. 3 is the overlooking structure diagram of rotating device provided by the utility model;
Fig. 4 is the schematic perspective view after rotating disk provided by the utility model and bearing assembling;
Fig. 5 is the overlooking structure diagram after rotating disk provided by the utility model and bearing assembling;
Fig. 6 is the schematic perspective view after colour table provided by the utility model and bearing assembling;
Fig. 7 is the overlooking structure diagram after colour table provided by the utility model and bearing assembling;
Fig. 8 is the schematic perspective view of colour table provided by the utility model;
Fig. 9 is the overlooking structure diagram of colour table provided by the utility model;
Figure 10 is the schematic perspective view of statistic device provided by the utility model;
Figure 11 is the overlooking structure diagram of statistic device provided by the utility model.
Specific embodiment
The technical issues of in order to keep the utility model solved, technical solution and beneficial effect are more clearly understood, below In conjunction with accompanying drawings and embodiments, the present invention will be further described in detail.It should be appreciated that specific implementation described herein Example only to explain the utility model, is not used to limit the utility model.
For difficult point of the low age student in terms of probability and statistical education, the utility model provides a kind of for probability and system The mathematics teaching aid for counting ability training, not only can comprehensively and effectively be trained the probability of student and statistical power, moreover, can To significantly increase the interest in probability and statistical power training process, to give full play to the learning initiative of student, improve Learning effect.
Specifically, the mathematics teaching aid provided by the utility model for probability and statistical power training, in a manner of game The concept and calculation method for introducing probability and statistics, can borrow the auxiliary tools such as topic card, guide student deep in the form of task Carve the knowledge for understanding probability and statistics, comprising: the concepts such as calculating, reasoning and integer, score, ratio in probability statistics Understand, to complete the culture that student counts thinking and random idea.
With reference to attached drawing, for the mathematics teaching aid of probability and statistical power training, including rotating device 1 and statistic device 2;Under It is discussed in detail respectively in face of rotating device 1 and statistic device 2:
(1) rotating device
With reference to Fig. 1-Fig. 3, the respectively perspective view of rotating device, side view and top view;Rotating device 1 includes rotating disk 1.1, colour table 1.6 and rotary shaft 1.9;
With reference to Fig. 4-Fig. 5, rotating disk 1.1 is that the supportive body of rotating device for carrying whole device makes whole device It can be with 360 degree in the horizontal direction lasting rotations.
Chassis 1.2, the fixed peace of the top center of rotating disk 1.1 is fixedly mounted in the bottom centre position of rotating disk 1.1 Bearing 1.3 is filled, the lower part of bearing 1.3 is embedded into the inside on chassis 1.2, and makes the housing of bearing 1.3 and the inner wall on chassis 1.2 It is fixedly connected;The top of bearing 1.3, which extends to, forms protruding portion above the disk of rotating disk 1.1;Rotary shaft 1.9 is vertically arranged, Handle 1.10 can be set in the top of rotary shaft 1.9.The bottom of rotary shaft 1.9 is embedded into the inner sleeve of bearing 1.3;Therefore, it rotates Axis is the power section of whole device, device can be allowed persistently to rotate in the horizontal direction by handle.
It is pre-designed the identical colour table of muti-piece shape, colour table and rotating disk are detachable structure, and colour table passes through following Structure design, is designed as detachable structure:
Several the 1st horizontal slots 1.4 are equidistantly opened up in the housing of bearing 1.3;The outer edge correspondence of rotating disk 1.1 is opened If several the 2nd horizontal slots 1.5;
It as illustrated in figs. 8-9, is the structure chart of independent one piece of colour table.The side of each colour table 1.6 has the 1st plug-in unit 1.7, The other side has the 2nd plug-in unit 1.8, so that the 1st plug-in unit 1.7 of colour table 1.6 is inserted into the 1st horizontal slot 1.4, makes the 2nd of colour table 1.6 Plug-in unit 1.8 is inserted into the 2nd horizontal slot 1.5, and complete circular outcome display panel is formed after the completion of multiple 1.6 grafting of colour table. It is the structure chart of result display panel with reference to Fig. 6-Fig. 7.
The surface of colour table has solid color, for example, red colour table, black colour table etc. are designed, therefore, needed for by muti-piece When the colour table of color is spliced to rotating disk, the result display panel of different combinations of colors can be formed.In practical application, it can design Complete circular outcome display panel is formed for 12 pieces of colour tables are pluggable.4 colors totally 24 pieces of colour tables can be designed, for example, 6 indigo plants of design Color colour table, 6 red colour tables, 6 black colour tables and 6 yellow colour tables, the application is to the color of the colour table of design, the number of colour table Amount is not intended to limit.
For the utilization rate for improving colour table, the front and back sides of colour table 1.6 can be made to have the colour table of solid color, for example, right Mr. Yu's block colour table, front are red, and reverse side is blue.Further, it can be used to realize colour table front and back sides, it can be by colour table 1.6 are designed as isosceles-trapezium-shaped, and the top margin of the isosceles trapezoid and bottom edge are arc.
(2) statistic device
Statistic device 2 be used to be obtained according to rotating disk as a result, color arrangement card, record and show statistical result.
With reference to Figure 10-Figure 11, statistic device 2 includes statistics disk 2.1 and several color cards 2.2.Wherein, disk is counted 2.1 is with reeded square plates.The color category of color card 2.2, it is consistent with the color category of the colour table of design.Example Such as, colour table is designed as four colors, is respectively as follows: red, blue, black and yellow, then the also corresponding design of color card are as follows: red cards, blue Card, black card and yellow card.
Mathematics teaching aid provided by the utility model for probability and statistical power training can be used cooperatively with topic card, Its application method is exemplified below:
(1) according to topic card prompt, the colour table of required color is selected, assembly obtains complete circular outcome display panel.Example Such as, 6 black colour tables and 6 red colour tables are selected.
(2) then, the rotary shaft for rotating rotating disk makes rotating disk start to rotate, and then rotates result display panel;So Afterwards, test ball is put into the upper surface of result display panel.
(3) it by the effect of centrifugal force, tests club and does not stop to roll on result display panel.When rotating disk stops operating When, on the colour table of test club some color for resting on result display panel, according to the color for the colour table that test ball is stopped, In the groove of statistics disk, it is put into the card of same color.For example, if the colour table color that test ball is stopped is red, Red cards are put on the left of to statistics disk;If the colour table color that test ball is stopped is black, to the right side of statistics disk It is put into black card.
Above step is repeated 20 times, and is made student by the card in observation statistics disk, is understood the concept of probability, for example, For this subject, after carrying out 20 times, the quantity of statistics disk red cards is 10, and the quantity of black card is also 10, thus The probability that understanding test ball rests on red colour table is equal with the probability for resting on black colour table, deepens student to probabilistic knowledge Understand.
For another example student can be allowed to guess that test ball finally stops first after having spelled result display panel according to topic card Colour table colour table color.Then starter is verified, and thus training of students to the concept of probability and probabilistic is recognized Know.
For another example a series of tests can be carried out, it may be assumed that after carrying out first time test, gradually change result display panel The quantity of middle colour table reduces black panel for example, gradually increasing red panel, the color for allowing student to guess that test ball finally stops The colour table color of plate.Then starter is verified, thus understanding of the training of students to probability conception and statistic concept.According to Multiple test result further can guide student simply to be counted, draw statistical chart, statistical form and calculate probability etc., Thus the probability and statistical power of comprehensive training of students.
For another example the quantity of the color category of the colour table of use and the test ball of use can also be changed, for example, selecting The colour table of 4 kinds of colors and multiple test balls is selected to carry out above-mentioned test, to match synthesis card, guidance student carries out the system of complexity Meter, draw statistical chart, statistical form and calculate probability etc., thus training of students solves more complicated statistics and probability problem, by force Change to the probability of student and the training of statistical power.
For another example for the training for solving other different mathematical problems, including calculating, the reasoning in probability statistics, and Integer, score, ratio etc., design corresponding topic card, and parent can give the different task of student, complete more according to topic card prompt Kind training, understanding and cognition of the in-depth student to statistics and probabilistic uncertainty.
In addition, the mathematics teaching aid described above for probability and statistical power training is further improved, may be used also With the computing capability of training of students.Specifically, being printed on number on the surface of every colour atla, number can be printed on obverse and reverse Word, application method are as follows:
After having spelled result display panel according to topic card, ball can be tested using 3 or more simultaneously, starter makes to rotate Disc spins, after rotating disk stops operating, each test club is dropped into above a colour table.According to prior designed rule Then, for example, the sums for the number for calculating student above three corresponding colour tables of test balls, the thus computing capability of training of students.
In practical application, the present apparatus be can be used alone, and can also be applied in combination with homologous series block toy.
Mathematics teaching aid provided by the utility model for probability and statistical power training has the advantage that
The utility model provides a kind of mathematics teaching aid for probability and statistical power training, on the one hand, student needs dynamic Hand assembly obtains complete mathematics teaching aid;On the other hand, student needs to start to rotate rotating disk, and rotating disk is made to start to rotate, and Observe result;On the other hand, student also needs the card by being put into corresponding color in statistics disk therefore can not only have comprehensively Effect is trained the probability and statistical power of student, furthermore, it is possible to significantly increase in probability and statistical power training process Interest improve learning effect to give full play to the learning initiative of student.
The above is only the preferred embodiment of the utility model, it is noted that for the common skill of the art For art personnel, without departing from the principle of this utility model, several improvements and modifications can also be made, these improve and Retouching should also regard the protection scope of the utility model.

Claims (6)

1. a kind of mathematics teaching aid for probability and statistical power training, which is characterized in that including rotating device (1) and statistics dress Set (2);
The rotating device (1) includes rotating disk (1.1), colour table (1.6) and rotary shaft (1.9);The bottom of the rotating disk (1.1) Chassis (1.2) are fixedly mounted in portion center, and bearing (1.3) are fixedly mounted in the top center of the rotating disk (1.1), institute The lower part for stating bearing (1.3) is embedded into the inside of the chassis (1.2), and makes the housing of the bearing (1.3) and the chassis (1.2) inner wall is fixedly connected;The top of the bearing (1.3) extends to be formed above the disk of the rotating disk (1.1) and dash forward Portion out;The rotary shaft (1.9) is vertically arranged, and the bottom of the rotary shaft (1.9) is embedded into the inner sleeve of the bearing (1.3);
Several the 1st horizontal slots (1.4) are equidistantly opened up in the housing of the bearing (1.3);Outside the rotating disk (1.1) Edge correspondence opens up several the 2nd horizontal slots (1.5);The side of each colour table (1.6) has the 1st plug-in unit (1.7), the other side With the 2nd plug-in unit (1.8), so that the 1st plug-in unit (1.7) of the colour table (1.6) is inserted into the 1st horizontal slot (1.4), make institute The 2nd plug-in unit (1.8) for stating colour table (1.6) is inserted into the 2nd horizontal slot (1.5), shape after the completion of multiple colour table (1.6) grafting At complete circular outcome display panel;
The statistic device (2) includes statistics disk (2.1) and several color cards (2.2).
2. the mathematics teaching aid according to claim 1 for probability and statistical power training, which is characterized in that the colour table (1.6) colour table of solid color is had for front and back sides;Positive face color is identical or not identical with reverse side color.
3. the mathematics teaching aid according to claim 1 for probability and statistical power training, which is characterized in that the colour table It (1.6) is isosceles-trapezium-shaped, the top margin of the isosceles trapezoid and bottom edge are arc.
4. the mathematics teaching aid according to claim 1 for probability and statistical power training, which is characterized in that the colour table (1.6) obverse and reverse is respectively printed on number.
5. the mathematics teaching aid according to claim 1 for probability and statistical power training, which is characterized in that the rotation The top of axis (1.9) has handle (1.10).
6. the mathematics teaching aid according to claim 1 for probability and statistical power training, which is characterized in that the statistics Disk (2.1) is with reeded square plate.
CN201820927805.4U 2018-06-15 2018-06-15 Mathematics teaching aid for probability and statistical power training Expired - Fee Related CN209607232U (en)

Priority Applications (1)

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CN201820927805.4U CN209607232U (en) 2018-06-15 2018-06-15 Mathematics teaching aid for probability and statistical power training

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201820927805.4U CN209607232U (en) 2018-06-15 2018-06-15 Mathematics teaching aid for probability and statistical power training

Publications (1)

Publication Number Publication Date
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