Until the 1970s, many math educators in Japan analyzed mathematical thinking for denotative ways of teaching it with specified content in the curriculum even if the national curriculum preferred the connotative ways of explanation. A number of types of mathematical
Thinking were explained by many researchers. One of his contributions led to this movement and he composed it based on the importance of teaching and milling it understandable to teachers eve? if they are not math majors 8 Another of his contributions was his ways of composition. In Part I, he composes them based on "mathematical attitude" "ways of thinking,'' and "ideas." He exclaims that "mathematical• attitude is the driving force of mathematical thinking because we aim to develop children who would like . to think by themselves. This means that the child has or her own wish to explore mathematics. Thus, developing the attitude of thinking