Japan Journal of Mathematics Education and Related Fields

Research into education of analysis necessary for school mathematics in secondary education (part I)

Understanding of integration concepts

Yoshiki Nisawa, Nobuki Watanabe

2012 Volume 52 Issue 3-4 Pages 69-79
Published: 2012
Released on J-STAGE: April 21, 2020

DOIhttps://doi.org/10.34323/mesj.52.3-4_69

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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.

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A study on the international cooperative distance lecture and seminar between Japan, Germany and Thailand to train the elite arithmetic and mathematics teachers using a teleconference system

Kyomi Takuma, Seiji Moriya, Nobuki Watanabe, Hartmann Mutfried, Borys ...

2012 Volume 52 Issue 3-4 Pages 81-91
Published: 2012
Released on J-STAGE: April 21, 2020

DOIhttps://doi.org/10.34323/mesj.52.3-4_81

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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.

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A proposal of experienced type study for “a complete count survey and a sampling survey”

Hiroko Nakanishi

2012 Volume 52 Issue 3-4 Pages 93-102
Published: 2012
Released on J-STAGE: April 21, 2020

DOIhttps://doi.org/10.34323/mesj.52.3-4_93

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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 schools teachers.

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Mathematics education on analysis

Ikuo Tayama

2012 Volume 52 Issue 3-4 Pages 103-110
Published: 2012
Released on J-STAGE: April 21, 2020

DOIhttps://doi.org/10.34323/mesj.52.3-4_103

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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.

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An attempt at integrated study on fostering creativity based on international cooperative distance learning between Japan and Thailand (II)

“Let's Research the Speed of Lights” on integrated study of mathematics, physics and English

Kyomi Takuma, Seiji Moriya, Shoko Yamamoto, Tatsuhiko Isobe, Chamnanmo ...

2012 Volume 52 Issue 3-4 Pages 111-120
Published: 2012
Released on J-STAGE: April 21, 2020

DOIhttps://doi.org/10.34323/mesj.52.3-4_111

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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 creativity.

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Characteristics of “Number and Calculation” curriculum in Singapore

Focus on the use of the scientific electronic calculator and the assessment system

Yasufumi Kuroda

2012 Volume 52 Issue 3-4 Pages 121-130
Published: 2012
Released on J-STAGE: April 21, 2020

DOIhttps://doi.org/10.34323/mesj.52.3-4_121

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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.

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A study of 3rd graders’ views of distributions of qualitative data

Takashi Kawakami

2012 Volume 52 Issue 3-4 Pages 131-142
Published: 2012
Released on J-STAGE: April 21, 2020

DOIhttps://doi.org/10.34323/mesj.52.3-4_131

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The purpose of this paper is to show how 3^rd 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 3^rd 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 3^rd grade, (2) the approach of repeatedly implementing the activity in statistics teaching at the upper grades.

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