Japanese traditional Japanese traditional mathematicsmathematics

Kyoto university of educationKyoto university of education

Akira TaguchiAkira Taguchi

IntroductionIntroductionJapanese traditional mathematicJapanese traditional mathematic

ss“wasan“wasan””

↓↓EuropeEurope ↓Japan ↓Japan 　　　　　　　　　　　　

　　　　　　　　　　　　　　　　　　

In Europe mathematics was studied in University.

In Japan it was studied in Shinto shrine and Buddhist temple.

WASAN school in shrineWASAN school in shrine

Many people saw the Many people saw the problems in shrines problems in shrines and solved the and solved the problems themselves.problems themselves.

In this way, wasan spread many places in JaIn this way, wasan spread many places in Japan. Especially we call the wasan which offepan. Especially we call the wasan which offered to shrines ;“SANGAKU”.red to shrines ;“SANGAKU”.

““SAN ” means mathematic.SAN ” means mathematic. ““GAKU” means board.GAKU” means board.

““SANGAKU” means boards whichSANGAKU” means boards which

mathematics problems and solutions were written.mathematics problems and solutions were written.

Why did they offer the problemWhy did they offer the problem to shrine? to shrine?

They showed their own results.They showed their own results. They thanked God or Buddha.They thanked God or Buddha. They hoped their accomplishment in They hoped their accomplishment in

studying.studying.

About 5 km

・ Our university

・ Shrine

This picture was taken in a shrine in KyotoThis picture was taken in a shrine in Kyoto..

The same problemThe same problem

Please mail the answer to me.Please mail the answer to me.

My mail addressMy mail address suu01105@kyokyo-u.ac.jpsuu01105@kyokyo-u.ac.jp

““Wasan” are too difficult for us to understand.Wasan” are too difficult for us to understand.

They had a lot of calculation and they only enjoyed.They had a lot of calculation and they only enjoyed.

They couldn’t discover the mathematical systemsThey couldn’t discover the mathematical systems

with logic.with logic.

It has never developed as a science.It has never developed as a science.

So much for today.So much for today.