Japan Journal of Mathematics Education and Related Fields
Online ISSN : 2434-8899
Print ISSN : 1349-7332
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Showing 1-7 articles out of 7 articles from the selected issue
  • Yoshiki NISAWA
    2018 Volume 59 Issue 1-2 Pages 1-10
    Published: 2018
    Released: October 16, 2019
    JOURNALS OPEN ACCESS
    Multiple studies have indicated that challenges exist in children’s comprehension of functions. In order to analyze the factors of the task, this research focuses on the function of the instructional system by Yokochi and others. And this research establishes a theoretical model for the ideal teaching method of functions, and aims to clarify the challenges based on that model. The theoretical framework applies comprehension research, and is categorized into 'Stage of event recognition', ‘Stage of developing abstraction’ and ‘Stage of abstraction’. Based on this model and investigating the system of teaching functions by Yokochi et al., it became clear that the teaching system is in the ‘stage of developing abstraction’, attempting to develop a ‘developing concept’. The findings also imply that the students had not sufficiently developed the ‘developing concept’.
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  • Masato KAWASAKI, Ryouta HUJII, Mamoru KOIKE, Minoru UMEZAWA
    2018 Volume 59 Issue 1-2 Pages 11-18
    Published: 2018
    Released: October 16, 2019
    JOURNALS OPEN ACCESS
    The present study was conducted to clarify the characteristics of three types of teaching materials by comparing students’ comprehension after a lesson that was designed to improve multiplication skills. The teaching materials used in this study included games, puzzles, and drills. After the multiplication lesson, children were taught using one of the teaching materials six times in the morning before class. Children's comprehension was assessed twice. As per the results, the following suggestions regarding the teaching materials were obtained: a) Games work very well for high-skilled children but do not work well for low-skilled children. b) Drills are not very effective for high-skilled children and reduce the skill level of lowskilled children. c) Puzzles are effective for low-skilled children and not solely for the purpose of memorization. Based on this study, the characteristics of each teaching material were clarified, and suggestions were able to be obtained regarding the choice of teaching material when considering comprehension or teaching purpose.
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  • Kensuke KOIZUMI
    2018 Volume 59 Issue 1-2 Pages 19-29
    Published: 2018
    Released: October 16, 2019
    JOURNALS OPEN ACCESS
    This study aims to select examples of specific mathematical terms acquired in mathematics learning that are used as metaphors in everyday life, and to identify the kind of learning activity that is possible. The two findings of this study are as follows. First, the following four interpreting processes contribute to the development of metaphorical thinking: interpreting the meaning of mathematical terms in everyday life, reflecting on the property of mathematical concepts, identifying the matching elements between everyday life situations and mathematics learning, and contemplating the reasons for the use of the mathematical term. Second, there are three reasons that make these activities important from the perspective of mathematics learning.
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  • Yoshinori NAKAMURA, Takashi HONDA, Tomoko YAMAZAKI, James HALL
    2018 Volume 59 Issue 1-2 Pages 31-42
    Published: 2018
    Released: October 16, 2019
    JOURNALS OPEN ACCESS
    Mathematics education in Japan is paid much attention by Asian countries. In autumn of 2017, teachers of PIM (Panyapiwat Institute of Management) and Satit PIM Demonstration School in Thailand visited the Iwate University Faculty of Education. They showed a strong interest in the mathematics education of Japan and agreed to collaborate in an experimental teaching practicum with Iwate University. In January 2018, we conducted a mathematics teaching practicum at the Satit PIM Demonstration School . In this paper, we summarize the outline of the program and report its result.
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  • Takahiro SASAKI
    2018 Volume 59 Issue 1-2 Pages 43-51
    Published: 2018
    Released: October 16, 2019
    JOURNALS OPEN ACCESS
    The development of human resources in the fields of artificial intelligence, data sciences, and information security as part of the fourth industrial revolution is an urgent issue in Japan. There is also a need to create educational materials that will engender an interest in these areas among high school students in mathematics education, which plays a part in human resource development. The “nature of integers” was first dealt with in revisions to the Mathematics A section of the High School Curriculum Guidelines made in 2009, and the increase in high school students with a deeper learning of integers relative to the previous curriculum has increased the likelihood of development of educational materials regarding the RSA encryption system. From the perspective of both social demands and mathematics education, these educational materials are important, as they will not only enable the study of the RSA encryption with the help of the knowledge of the theory of elementary numbers, but they are also critical to encryption systems used in our modern society. However, the cognitive load on students caused by the many concepts and much knowledge required to learn it has made it difficult to develop educational materials for the RSA encryption system. In this study, a direct approach (section 4.3.1) is used to lighten the cognitive burden on the sides of the students in developing educational materials for the RSA encryption system.
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  • Hiroshi TANAKA, Tatsuki MORI, Shoji YOTSUTANI
    2018 Volume 59 Issue 1-2 Pages 53-57
    Published: 2018
    Released: October 16, 2019
    JOURNALS OPEN ACCESS
    We think that it is important to introduce a new unified approach for teaching mathematical sequences in high school. Especially, we believe there is room from improvement in the teaching methods which use non-unified expressions for the formulas for sums of powers. We hereby propose a new and more unified notational convention for these formulas. It is not only easy to remember, but it can be helpful to derive formulas of higher orders. This method can also be applied to geometric series.
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  • Aoi NAKAHASHI, Yasuyuki OKABE
    2018 Volume 59 Issue 1-2 Pages 59-66
    Published: 2018
    Released: October 16, 2019
    JOURNALS OPEN ACCESS
    The purpose is to study about the importance of play in early childhood mathematics education. We analyzed the appearances of young children in some practices focusing on “flow”, a psychological state in which “fun” motivates and the emotion becomes internal compensation and is devoted to activities that motivate the next action. As a result, we revealed that it is possible to acquire mathematical concepts and develop their mathematical thinking during play with flow experiences. We need to consider whether all the mathematical concepts and mathematical thinking can be enhanced during the play, or not and confirm the validity as mathematics of the childcare content of “Environment”.
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