Japan Journal of Mathematics Education and Related Fields
Online ISSN : 2434-8899
Print ISSN : 1349-7332
Volume 54 , Issue 3-4
Japan Journal of Mathematics Education and Related Fields
Showing 1-7 articles out of 7 articles from the selected issue
  • Children's cognition for the concepts of speed
    Masafumi Kumode, Yoshiki Nisawa, Nobuki Watanabe
    2013 Volume 54 Issue 3-4 Pages 71-86
    Published: 2013
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    In this study, we aim to improve an educational practice of "speed" that many children are difficult for understanding. In that case, we use the RTMaC lesson study with cooperation of elementary school’s teachers, junior high school’s teachers, high school’s teachers and university's teachers. In this paper, we examined children's cognition of "speed" by a teacher's made original cognition test, and we discussed improvement's teaching points of it. As a result, it has become clear that children’s cognition trend of "speed", and an improvement viewpoint for the teaching.
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  • M. Kumode, N.Watanabe
    2013 Volume 54 Issue 3-4 Pages 87-98
    Published: 2013
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    In the present-day, it is generally important to teach the probability. However, it is said that both quantity and quality are not enough for teaching the probability in Japan. Especially, the probability is hardly taught in elementary schools. So the purpose of this study is to make the curriculumof teaching the probability in elementary schools. In this paper, we researched cognition about the probability to 4th, 5th and 6th graders who have not been taught the probability. A result of the research, we have found some characteristics of children’s cognition each school year.
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  • Realizing the connection between real society and mathematics
    Hiroyuki Tanikado, Akira Yanagimoto
    2013 Volume 54 Issue 3-4 Pages 99-106
    Published: 2013
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    Generally speaking, junior high school students in Japan don’t value mathematics so much for how it can help them in their lives, compared with other countries. However their teachers value it. Educational experiment named ”Radioactivity and Mathematics” was conducted not only to change their evaluation of mathematics value, but also to introduce the exponential function, relating to the Fukushima nuclear accident. In the pretest and the posttest, we clarified the following. (1) The students changed their evaluation of mathematics value for how it could help them in their lives. (2) The students could find and understand as a function they had never learned. (3) Even in the public junior high school, it was possible for the students to learn a fundamental exponential function, if they were equal to surpass the average in scholastic ability. (4) It was not easy for the students to find two variables from the phenomenon in their lives.
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  • Miyo Akita, Noboru Saito
    2013 Volume 54 Issue 3-4 Pages 107-115
    Published: 2013
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    The purpose of this study is to show how students can enhance mathematical creativity. Flexibility is an important factor for creative problem solving. However, in the lesson of the present school mathematics, students’ flexible thinking is hardly used. We found that the inhibitory factor of students’ flexible idea. We analyzed the influence of fixation of a solution by using the problem of constructing a perpendicular bisector. We focused on the relationship between the intelligibility of learning contents and exertion of mathematical creativity. Students had the tendency to memorize a solution without understanding the mathematical background. We made a problem for overcoming students’ flexible thinking. When students used that problem, they were able to consider various solutions than the usual problem.
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  • Focusing around the representation of relationship
    Ayaki Mabuchi, Miyo Akita
    2013 Volume 54 Issue 3-4 Pages 117-126
    Published: 2013
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    The purpose of this study is to propose teaching method to activate the ability of creative problem solving. On the mathematics learning, it is important to acquire basic knowledge and skill, and it is necessary to grasp connection with the previous knowledge systematically. This method is based on students’ understanding about the relationship between method of problem solving and mathematical background. The lesson for carrying out representation of the relationship was practiced at three steps, "showing multiple expressions ", "comparing multiple expression" and "discovering common ground." As a result of using new method for "how to solve simultaneous equation", students were able to improve the ability of creative problem solving by using previous knowledge and skill.
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  • Noriaki Sato
    2013 Volume 54 Issue 3-4 Pages 127-134
    Published: 2013
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    The new course of study was enforced in the high schools from 2012. In the new course of study for the 1st year high school students, the properties of integers are taught in an elective subject: Mathematics A. It was shown by Euclid in his Elements (volume 9, Proposition 20) that there exist an infinite number of primes. The purpose of this paper is to study the teaching materials about the Proposition 20 (volume 9) in Euclid’s Elements.
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  • Y. Kuroda
    2013 Volume 54 Issue 3-4 Pages 135-144
    Published: 2013
    Released: April 21, 2020
    JOURNALS OPEN ACCESS
    The contents of the plane geometry in secondary education that can draw out student's various ideas are preferable. “Origamics” that the student actually works with the paper folding enables the student's trial and error in the proof problem. The purpose of this study is to propose the systematic plane geometry education using Origamics contents.
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