Interesting "Android App"！

LastUpdate 7/22/2024

　It was about 37 years ago that I got the book "～Microcomputer・Classroom～　Future Classroom　Challenge to CAI Education written by Kazuhiko Nakayama & Yoshinori Higashibara （Tsukuba Publishing）"
　The following was written there.
①The most important thing in this educational reform is to establish the principle of emphasizing individuality.
②In the future society , not only the ability to acquire knowledge and information,but also the ability to make full use of it appropriately , think , create , and express with one's own mind must be emphasized.
③In future school education,on top of the basics , the development of thinking ability such as creativity , logical thinking ability , abstract ability , imagination , and expressive ability should be emphasized.
④It is necessary to shift from the conventional uniform education to an education that respects individuality , and to develop human beings who have creativity and the ability to think , express and act by themselves.
⑤ＣＡＩ（Computer Asisted Instruction） enables the conversion from one-sided lessons to lessons / learning that follow a voluntary free course according to the needs of the leaner.
　At that time , above all , I imagined the title of this book "Classroom of the Future", dreamed of "classroom of the future", and devoted myself to the study of CAI in mathematics.
　Today , computers are far more powerful than they were at that time , are easy to use , and are failiar to everyone. In math lessons , I think it is an effective and realistic way to use a computer as a simulation for a part of an hour lesson to make students think and comfirm.
　However ,even if I used a computer as part of the lesson,I had to secure a computer classroom and move around , or had to carry a computer and a projector to the classroom and set it up. （In Gifu Prefecture , in the first year of Reiwa , black boards became white boards that could be used as screens in all ordinary classrooms at all prefectural high schools , and projectors were also installed in all ordinary classrooms. In the second year of Reiwa , tablets were distributed to each students.）
　With smartphones becoming so popular with students , it is expected that it will not be long before every student owns a smartphone.
　Then smartphones and tablets make it easier for students to see , think and check the simulation.（Nowadays , teachers can move freely in the classroom with their smartphones , enter the students , and explain while projecting the screen of the smartphone on a wirelessly connected projector.）
　Dreaming of the arrival of future classrooms , I created an "Android app" that can be used in math classes and introduced it on this web page.
　STAI（SmartPhone Tablet Asisted Instruction）. This was the "classrooms of the future" for me , but it has become quite realistic. 　04.06.2021 Fixed （11.17.2012 Note）

No	Table contents
1	Experiment of Falling Pachinko Balls
2	Scatter Sesame Seeds to Find Pi
3	Buffon's Needle
4	Three-Rock-Paper-Scisors
5	Playing Cards that Are Multiples of 3
6	Random Walks
7	Two Coins Toss
8	Two Dice with an Odd Product
9	Encounter Experiment
10	If You Shoot a Lot of Bad Guns,You Will Hit !
11	Napier's Constant "e"
12	Wallis's Formula
13	Gregory/Leibniz's Formula
14	Euler's Formula
15	Yoshisuke Matsunaga's Formula 1
16	Yoshisuke Matsunaga's Formula 2
17	Approximation 1 of Napier's Constant "e"
18	Approximation 2 of Napier's Constant "e"
19	Approximation 3 of Napier's Constant "e"
20	Approximation 6 of Pi by Infinite Series
21	Approximation 7 of Pi by Infinite Series
22	Approximation 8 of Pi by Infinite Series
23	Approximation 9 of Pi by Infinite Series
24	Approximation 10 of Pi by Infinite Series
25	Approximation 11 of Pi by Infinite Series
26	Approximation 12 of Pi by Infinite Series
27	Approximation 13 of Pi by Infinite Series
28	Collatz Problem (3x+1 Problem)
29	Amidakuji
30	Translation of Graph of Quadratic Function
31	Translation of Graph of Quadratic Function （Convex Downward）
32	Translation of Graph of Quadratic Function （Convex Upward ）
33	Spread of Graph of Quadratic Function
34	Throw Coins to Find the Pi
35	Dounload And Install
36	Run the App
37	Operating Environment

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To table of contents

　【１】　Experiment of Faling Pachinko Balls

［１］App overview
　You can observe how the pachinko balls are falling.
　The pachinko balll will fall to the left and right with a 50-50 chance of splitting and will fit into one of the 11 containers.
　There are 10 left and right branches before entering the container.
　Which container is easy for pachinko balls to fit in ?
　Also , let's mathematically find the probability that pachinko balls will fit in each of the 11 containers.

［２］Screen example
　spachinkoeng.pdf

［３］Source program list
　lpachinkoeng.pdf

［４］Instaliation of program files (apk)
　Please purchase from 【Ｐｌａｙ Store】.
　Please search by "Seitoku"（The initial letter "S" is uppercase , all half-width）.

　Alterenatively , you can download the apk file by clicking (tapping) MyPachinkoEng.apk .

［５］Supported OS
　Android 4.1 (Jelly Bean) ～
　