Japan Journal of Mathematics Education and Related Fields
Online ISSN : 2434-8899
Print ISSN : 1349-7332
Volume 57 , Issue 1-2
Japan Journal of Mathematics Education and Related Fields
Showing 1-10 articles out of 10 articles from the selected issue
  • Seiji Moriya, Kyomi Takuma, Mutfried Hartmann, Thomas Borys, Nobuki Wa ...
    2016 Volume 57 Issue 1-2 Pages 1-12
    Published: 2016
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    The International Cooperative Distance Lecture and Seminar (abbr. ICDL&S) project was utilized by undergraduate and graduate students from Japan, Germany and Thailand. The 2nd term was held from April/2011 to July/2011 and the 3rd term from November/2011 to January/2012. The participants have shown great interest and they have requested continuous education by the ICDL&S project. And the participants educated in different curriculums, contexts and methods have been gathered by the project and enabled the divergence thinking and the convergency thinking. ICDL&S as part of the teacher curriculums contributed to the development of their scholastic abilities and motivation to study. So, it is suggested that it would be effective to include ICDL&S constantly in training teacher curriculums.
    Download PDF (3380K)
  • Atsushi TAMURA
    2016 Volume 57 Issue 1-2 Pages 13-22
    Published: 2016
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    The purpose of this study is to develop “A Rating Scale for Mathematical Ability, in terms of Thinking, Expression and Mathematical Attitude” and to examine the discriminant performance, reliability, and validity of its questions. This study shows the process of making the above questionnaire by taking into account the findings from the past studies on questionnaire development. This questionnaire was administered to 398 participants of the preliminaries of Japan Mathematical Olympiad and 454 high school students. T-test and discriminant analysis of the results revealed that the questionnaire shows high discriminant performance. Also, the analysis of the Cronbach's alpha coefficient, ceiling effects and floor effects revealed that it has a high reliability. Furthermore, comparison with existing questionnaires proved that the current questionnaire has a certain validity. The questionnaire developed in this study was proved to have the potential to be used as a standard measurement for mathematical abilities.
    Download PDF (1063K)
  • Yoshiki NISAWA, Nobuki WATANABE, Takeo HIRAKI
    2016 Volume 57 Issue 1-2 Pages 23-38
    Published: 2016
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    This paper focuses on the effective learning to understand the trigonometric ratio that is not able to be understood easily by students utilizing the RTMaC lesson study in the Japanese senior high school. We developed teaching materials and methods, and had the classroom practices about the definition of trigonometric ratio and a basic concept of trigonometric ratio. As a result, we confirmed that the teaching materials and methods elevate the students to understand the definition of trigonometric ratio and a basic concept of trigonometric ratio.
    Download PDF (1453K)
  • Focusing on the Understanding of Quadratic Function
    Yoshinori NAKAMURA
    2016 Volume 57 Issue 1-2 Pages 39-50
    Published: 2016
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    We have many problems of guidance of mathematics in high school. We have to consider learning support for students who have understanding difficulties. The purpose of this study is to get basic information for understanding difficulties and learning support of them. I gave questionnaires and tests to students and analyzed those results.
    Download PDF (2120K)
  • Takashi HIROSE, Katsuhisa HASEGAWA, Noboru SAITO
    2016 Volume 57 Issue 1-2 Pages 51-62
    Published: 2016
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    The purpose of our research is to clarify students' aspects of changes in lesson practices based on 'Abduction', focussing on their speech activities for framing a hypothesis and verifying it. For that purpose, we gave lessons to 57 students of the 5th grade (two classes) in the Kobe municipal K elementary school. We considered that the teacher allowed himself to speak as only a little as possible and students weren't shy of expressing their opinions. Also we subdivided the work sheet into 5 parts of the work sheet (1), (2), (3), (4), (5), designing to clear students' aspects of changes. After lesson practices, we evaluated their descriptions quantitatively and carried out the analysis of variance for one factor and four levels (the repeated -measures design) and multiple comparison tests, so that we found great effects of their speech activities between the work sheet (3) and the work sheet (4). Then we gave attention to their wrong descriptions at the work sheet (1) and (3). From the viewpoint of their protocols of reactions to their wrong opinions on the video, we could capture their aspects of qualitative changes.
    Download PDF (1543K)
  • Hiroaki Uesu, Satoru Takagi
    2016 Volume 57 Issue 1-2 Pages 63-74
    Published: 2016
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    We extend a contingency table to a fuzzy contingency table in order to analyze inexact information. We apply the fuzzy contingency table to needs analysis for math classes in university and show its effectiveness from some data.
    Download PDF (1465K)
  • Yoshinari Inaba, Masatoshi Kise, Toshihiko Chikusa
    2016 Volume 57 Issue 1-2 Pages 75-88
    Published: 2016
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    Overseas, international Mathematical Modeling Challenge Programs for secondary school students are often held. In contrast, as of 2015, no such programs have been conducted at the national level in Japan. While mathematical activity is strongly emphasized in government course curriculum guidelines and the contents of task-based learning is included in textbooks, the term “mathematical modeling” is not well known in Japan. In Kyoto, a regional Mathematical Modeling Challenge Program has been carried out consecutively for three years and was held for the fourth time in 2015. This paper reports on the summary of the program conducted for junior high school students. Although it was the first opportunity for many of the participants to encounter mathematical modeling, they worked in teams on problem solving using models within an assigned period of time. In general, we received a very favorable impression from the participants for this program, but some problems such as evaluation criteria need to be improved for the future.
    Download PDF (1367K)
  • Focussing on Teachers' Experienced Years for the Teaching Profession
    Takashi HIROSE, Takeshi SAKAI, Noboru Saito, Koichi Furuya
    2016 Volume 57 Issue 1-2 Pages 89-101
    Published: 2016
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    The purpose of this research is to clarify how many years for the teaching profession teachers have taken to develop their capacities about 13 items of the scale for assessing “the teacher's capacity for giving lessons in arithmetic education” when we classify them according to their experienced years for the teaching profession. As a result of the one factor's analysis of variance for completely randomized design on different data, we clarifyed whole features for the teacher's capacity for giving lessons according to their respective experienced years for the teaching profession and them for it on respective items of 13 items.
    Download PDF (955K)
  • Support by “interactive active learning”
    Yoshinori NAKAMURA, Zen SASAKI, Arata ODAJIMA
    2016 Volume 57 Issue 1-2 Pages 103-112
    Published: 2016
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    Students don’t understand enough mathematics in high school. An important problem is to consider about how teachers can teach the students and how they can give the students guidance and support. In this study, we discussed the effect and cause of “interactive active learning” in classroom for students who need special support.
    Download PDF (1068K)
  • Classroom Practice in theme Studies ”Experiencing Mathematics”
    Asako KOBARI
    2016 Volume 57 Issue 1-2 Pages 113-121
    Published: 2016
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    In the school year of 2014, through the comprehensive learning course, I have been teaching “Experiencing Mathematics” to the 3rd-and-4th grade students. Aiming at giving the students experiences of realizing the usefulness of mathematics and science and also interest in them, this course has been giving them opportunities to acquire mathematical views in everyday life. I would like to focus on the course titled ‘Experiencing Math at Tokyo Sky Tree’ in order to introduce the practical teaching materials and discuss this topic by using books covering the theme of mathematical experiences.
    Download PDF (1963K)
feedback
Top