In secondary education, "Using the integration, students can calculate the area of the shapes enclosed by curves", it is an important goal. However, it is not enough for the students to understand the concept of integration. In this paper, we aimed to improve educational contents for the students to understand integration. We improve educational contents and teaching practices. As a result, we could show that these educational contents were effective.
It is necessary to train elite arithmetic and the mathematics teachers so that they can lead a general teachers who don't have enough skills to teach. As the concrete method, we think that the International Cooperative Distance Lecture and Seminar (abbr. ICDL&S) using TV-conference are effective. The project of ICDL&S was experimented by undergraduate and graduate students between Japan, Germany and Thailand. We reported this project. As a result of this project, it was confirmed that the ICDL&S contributed to the development of the students' scholastic abilities to teach mathematics.
The Japanese Ministry of Education, Culture, Sports, Science and Technology has
announced the latest courses of study for elementary schools and for junior high schools,
respectively, on March 28, 2008. The new courses of study will be enforced from 2011 in the
elementary schools, and from 2012 in the junior high schools. In the new courses of study,
mathematics and sciences are enhanced. Especially, mathematics teachers will teach many
kinds of statistics contents. For the 3rd year junior high school students, “a complete count
survey and a sampling survey” must be taught. These contents are new to junior high school
students. In this paper, we propose the way of experienced type study for these contents. This
proposal will be very easy to use not only for junior high school students, but also for
elementary school students. We hope the development of this new method by junior high
We have been giving a lecture on mathematics education in our university since
2002. We introduce one of our teaching materials, which is related to analysis. For the first four
years we had taught 'a history of derivative' and in the sixth year we changed it into 'various
facts on the number pi'. In this paper, we explain the two subjects and report our lecture and
the popularity among the students.
We report on an integrated study carried out an international cooperative distance
learning (abbr. ICDL) to foster creativity using a teleconference system. This project of ICDL was
experimented as the integrated study of mathematics, physics and English by high school
students between Japan and Thailand.
In the lessons before ICDL, Japanese students read the report “Approaching the Speed of Light
with Class” written in English, and had experiments of the research “The speed of light”. This
assignment difficulty was just as well for them. So, they were interested to research “the speed of
light”, and took the lead in devising a new development experiment. Thai students had the same
experiment with Japan, and solved for the speed of light using different way with Japanese
student. In the ICDL using TV-conference, two countries ’ students had presentation each other.
As a result of ICDL, they had improvement in the motivation, independence of mind and
interest of research. The ICDL that the student had suitable assignments contributed to foster
The emphasized problem of Singapore is a personnel training that relates to the
trade industry and the science and technology, because the resource in the country is scarce
and densely populated. Therefore Singapore is always high ranking on the international
student assessment of mathematics as TIMSS and PISA. The purpose of this study is to
examine the trend of "number and calculation" curriculum using mathematical calculator,
and the nationwide assessment system in Singapore. I should note that it is possible to apply
the above results to mid/long-term view of the mathematics education of Japan.
The purpose of this paper is to show how 3rd graders develop views of distributions of qualitative
data in order to provide some implications for statistics teaching in elementary school. For this purpose, the
study implemented and analyzed the research with the task to require of conjecturing distributions of
qualitative data for 3rd graders who have learned bar graph. As a result, almost pupils could pick up some elements of distribution of qualitative data. However, some pupils could integrate the elements with each
other, whereas others could not. From the findings, two types of statistics teaching in elementary school were
proposed: (1) the approach of implementing the activity of reading the aggregate characteristics of
distribution by using the questions of the current arithmetic textbooks in teaching of bar graph at the 3rd grade, (2) the approach of repeatedly implementing the activity in statistics teaching at the upper grades.