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Volume 57 (2016)
- Issue 3-4 Pages 125-
- Issue 1-2 Pages 1-
Volume 57, Issue 3-4
Japan Journal of Mathematics Education and Related Fields
Displaying 1-11 of 11 articles from this issue
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"Diamond cut can" as a subjectTsukasa KATSURAGI, Yasufumi KURODA2016 Volume 57 Issue 3-4 Pages 125-139
Published: 2016
Released on J-STAGE: April 21, 2020
JOURNAL FREE ACCESSMathematics in high school demands to develop mathematics teaching method planned to learn scientific thinking method. “Origamics” which was born in Japan is becoming a part of science. Using Origamics has an advantage. It is that learners can think and try and error many ways to fold paper, and that makes doing experiments and inspections possible. The purpose of this study is to develop mathematics teaching method using Origamics to learn scientific thinking method.View full abstractDownload PDF (2037K) -
Nobuki WATANABE2016 Volume 57 Issue 3-4 Pages 141-157
Published: 2016
Released on J-STAGE: April 21, 2020
JOURNAL FREE ACCESSThe purpose of this study is to make a “Mathematics Play Learning Program” for 3, 4 & 5 year olds. In this paper, I aimed to investigate the effect of cognition investigation that incorporates the guided play for 3 year old children. In fact, I made a cognition investigation that incorporates the guided play. And, it was carried out the investigation of every month in the home. As a result, it was possible to find some characteristics of a child's cognition. Furthermore， it was suggested that itself may become a play learning to improve the mathematical cognition of a child.View full abstractDownload PDF (988K) -
Manabu GOTO2016 Volume 57 Issue 3-4 Pages 159-168
Published: 2016
Released on J-STAGE: April 21, 2020
JOURNAL FREE ACCESSThis research clarifies what matters require consideration when developing teaching materials, while tracing the process of analyzing mathematical objects. As a specific example, the patterns of Hakone parquetry were analyzed, and the aims of developing this into a teaching material as well as its mathematical value were examined. As the patterns of Hakone parquetry are configured from multiple combinations of point symmetry and line symmetry of basic shapes, it is thought that even elementary students can devise original patterns and learn about shape movements. Moreover, in order for teachers to discover materials that are suitable as teaching materials, it is important that they cultivate the ability to view natural and societal phenomena mathematically, and actively conduct relevant investigations and extractions.View full abstractDownload PDF (2351K) -
Akira Yanagimoto2016 Volume 57 Issue 3-4 Pages 169-175
Published: 2016
Released on J-STAGE: April 21, 2020
JOURNAL FREE ACCESSPerry's movement happened in the early 20th century, and the importance of practical mathematics in school education rose. Kinnosuke Ogura, Kiyoshi Yokochi, and others put emphasis on the "development of the scientific mind" in the school mathematics education of Japan and worked on the education reform. In this paper, I will introduce the results of our thirty-year studies done to adopt this practical mathematics for school education. That is, the teaching materials of CRM Approach that Tetsuo Matsumiya proposed, the teaching materials that we developed for problem and situation-based learning and for teaching mathematical modelling, the SGH teaching materials, and the mathematical modelling challenge program. The introduction of this practical mathematics is an important perspective in bringing up children who can live strongly in the 21st century in Japan.View full abstractDownload PDF (529K) -
Yuki Seo2016 Volume 57 Issue 3-4 Pages 177-180
Published: 2016
Released on J-STAGE: April 21, 2020
JOURNAL FREE ACCESSBased on the report of curriculum planning special committee due to Ministry of Education, Culture, Sports, Science and Technology, we sum up the discussions on the improvement of the quality capability of mathematics teachers in elementary, secondary and senior high school. We will report the practice activity and make suggestions on the construction of collaborative learning between mathematics and the didactics of mathematics for mathematicians in the Faculty of Education. In particular, it is important to announce the description of each field of mathematics in the Journal of Mathematics Education Society of Japan for mathematics teachers.View full abstractDownload PDF (480K) -
Shoichiro MACHIDA, Akihiko HIDA2016 Volume 57 Issue 3-4 Pages 181-185
Published: 2016
Released on J-STAGE: April 21, 2020
JOURNAL FREE ACCESSIn recent colleges of education, mathematics education course trends to be included into the Science Education Course or National Science and Information Education Courses. In mathematics teacher training course, there are two kinds of professional divisions. – one is in charge of the study of school mathematics and teaching methods, another is the study of specialized mathematics subjects. In this article, we discuss the role of these two professional divisions in teacher training courses for the sake of getting over the major social changes of 21st century.View full abstractDownload PDF (632K) -
Seiji MORIYA, Toshihiko SHINDO2016 Volume 57 Issue 3-4 Pages 187-197
Published: 2016
Released on J-STAGE: April 21, 2020
JOURNAL FREE ACCESSIt is difficult for pupils to understand on relative value. So we have developed new teaching methods as followings: 1) Students were fully asked to complete activities to draw a line that was k times a given arbitrary length. Next, they were asked to calculate the values using actual measured values by three type's formulas. 2) The structure of the number line, indicates the relationship between an actual measured value and a relative value, was carefully taught to students. 3) The first, the second type, obtaining a compared quantity, was introduced first to students. 4) The first and the third types were introduced by expression transformations using the unknown as □ in the formula of the second type. It was indicated that developed methods were effective in solving problems of relative value under experimental mathematics class of six graders. In addition, we mentioned the need for reexamination on curriculum of teaching relative value.View full abstractDownload PDF (990K) -
Analysis from the viewpoint of educational systems, learning contents, teachersKazutaka Matsuzaki2016 Volume 57 Issue 3-4 Pages 199-210
Published: 2016
Released on J-STAGE: April 21, 2020
JOURNAL FREE ACCESSVietnam has a close relationship with Japan and it has turned out that students in Vietnam have excellent ability in mathematics. We have inspected mathematics classes at high schools in Vietnam and interviewed mathematics teachers in order to research the status of mathematics education in Vietnam. In this study, by analyzing these results from the viewpoint of educational systems, learning contents and teachers, we have clarified the following features:
(1) The existence of a mathematics competition system and a university entrance examination system contributes to educating excellent students in mathematics.
(2) Many teachers have views that plane vectors are suitable for contents in the 10th grade and logarithmic functions, integration, and complex numbers are suitable for those in the 12th grade.
(3) Teachers must have not only ability in mathematics and good instruction skills but also strictness and the ability to educate more excellent students in mathematics.
(4) Teachers need to improve way of thinking about education to enhance the degree of students’ understanding.View full abstractDownload PDF (1828K) -
Seiji MORIYA, Takashi KATO, Toshihiko SHINDO2016 Volume 57 Issue 3-4 Pages 211-219
Published: 2016
Released on J-STAGE: April 21, 2020
JOURNAL FREE ACCESSThe purpose of this study was to research the effects of “box diagram method” as an instrument for problem solving on relative values. Box diagram method is able to show students the relationship between real quantities and values of ratio more clearly in comparison with conventional number line method. Two fifth graders who had not learned relative values participated in this study. They took five hours classes on relative values using box diagram method. The result revealed that two students became to be able to express formulas to lead to correct answers using box diagram. Moreover, they could solve applied problems called type B in national assessment test for sixth graders.View full abstractDownload PDF (1034K) -
Sakurako Suzuki2016 Volume 57 Issue 3-4 Pages 221-225
Published: 2016
Released on J-STAGE: April 21, 2020
JOURNAL FREE ACCESSIn the medical universities, professional education tends to be made much of than liberal arts education including the mathematics. In the general education course of the medical department of the university where I work, the teacher assumes only knowledge of the mathematics taught in a high school, and must teach the statistics including application, the computer training from statistics basics, under the condition that there are 21 times of classes a year. This article is a practice report about the studies of statistical class in the educational curriculum of first year of the medical department, under such situation.View full abstractDownload PDF (640K) -
Akihiko HIDA, Shoichiro MACHIDA2016 Volume 57 Issue 3-4 Pages 227-231
Published: 2016
Released on J-STAGE: April 21, 2020
JOURNAL FREE ACCESSWe consider the way of understanding functions in mathematics education which we discussed in [1] as the issues on the social globalization. We report a case of mathematics class and give a brief summary on self-similar sets and fractals.View full abstractDownload PDF (4311K)
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