Repeating decimal and Pi sing song for blind students
From my journal of mathematics class
2003,Octber
By Yoshitake Misaki

1997,November,13
Braille of repeating decimals

When I was teaching repeating-decimals and rational numbers to blind students, I wanted to have braille material for changening from decimals to fractions. For this I used UBASIC at first. The UBSIC is made by Dr. Yuji Kida.
<http://www.rkmath.rikkyo.ac.jp/~kida/>
That free software ca compute with 2400 figures! If you want more info or to download that, visit on <http://www.rkmath.rikkyo.ac.jp/~kida/ubasic.htm >.
Then , a braille ranslator software got from those decimal data to braille code.

1997,November,14
Decimal fractions, Sound and Pi

Blind students in my mathematics class were studying cycles of decimals using Braille teaching materials. I told them that each number in decimals would be changed to sounds or tones. After this class, one blind student made sounds with his computer and synthesizer software. We heard them in class the next week.

1997,November,16
Number sing songs.

My good friend Randou Takahara who is a blind musician gave me free software including Sed(Stream editor) to make music by numbers. 1/7,1/19 and Pi song songs with this software. Cycles of decimals were very clear listening to the music.
Thanks, Randou Takahara!

1997,November,17

My students listened to music by numbers made with Randou Takahara's software on our home room. One student said "I have made great music by numbers!". They were composed with computer and synthesizer software. He said ,"I put 1/7 music on 1/17 music...". Those were fantastic!

1997,December,18

My students are interesting to music by number sequences. We used 10 based system. So, we can't use more than 10 tones. I'll try to use N based system because it has many tones. I think my students wii be interesed in N based system with mathematical material.