I am concerned with establishment details of Mathematics Education Society of
Japan, and research situation of mathematics education at establishment time.
Next I propose the research topics of a present mathematics education based on the
Mathematical proofs seem discouraging to many of the students who learn about demonstration.
Some of them don’t even see any significance in tackling proof problems because most of the problems they
try to solve just require them to use set patterns or prove the prepositions they have already verified. To
make them interested in learning mathematical proof , the students should be provided with such problems
that can lead the students to find out new things and understand the linkage between logics systematically.
This study is to develop the teaching materials which will let them realize that mathematics consists of
various areas which include systematically connected logics and that each of these areas are also
systematically related to one another. It is also the aim of this study to verify that such materials will work
effectually in teaching mathematics. By adopting the material and the method he had studied , the writer of
this thesis really used these methods and taught third-year students about quadratic curve at high school. In
the class , they set up their own hypotheses on how to construct a tangential line through the activity of
construction. Also , they made the presentations in which they had to dispute the truth of their hypotheses in
the style of a proof. In this way they learned that mathematics has a set of systems and that the conclusions
they have verified will give them a clue to understanding other prepositions. As a result , some improvement
was seen in their understanding of mathematical proofs and this class fostered a positive attitude toward
We aim at developing the curriculum about the algebra domain (literal expression, a
simultaneous equation ) in the elementary school . So a purpose of this study is to show the
development of the recognition of children. By the result, I showed that thinking of
simultaneous equations need intentional guidance. Because children can not learn it naturally.
So I experiment teaching. By the result, I showed that children from third grade to fifth grade
are able to learn simultaneous equations.
Pension tax issues were taken up as a teaching material for mathematical
modeling, and an educational experiment for junior high school students was
conducted. The original system that prefecture tax money is used to cover the basic
portion was introduced. The students were asked to think about the mathematical
solution of the prefecture tax rate on the basis of the data about Osaka Prefecture.
The proportion model for the 7th-graders and the linear function model for the
9th-graders were used in this educational experiment. This is meant to be a
mathematical modeling activity that will develop people to lead the way in our
The students’ evaluation of mathematics changed perceptibly as a result of this
educational experiment. The students who answered that mathematics is useful for
solving real-world problems accounted for 94% of the 7th-graders and 95% of the
9th-graders. The students who thought this teaching material was interesting
accounted for 72% of the 7th-graders and 82% of the 9th-graders.
Mathematical teachers at secondary education should be aware of the trends and
methodology of mathematics and mathematics education. The purpose of this paper is to
study the fixed straight lines from the point of view on eigenvalue.