Japan Journal of Mathematics Education and Related Fields
Online ISSN : 2434-8899
Print ISSN : 1349-7332
Volume 51 , Issue 1-2
Japan Journal of Mathematics Education and Related Fields
Showing 1-6 articles out of 6 articles from the selected issue
• Focusing on aspects of their conjecture
Takashi Kawakami
2010 Volume 51 Issue 1-2 Pages 1-14
Published: 2010
Released: April 21, 2020
JOURNALS OPEN ACCESS
The purpose of this study is to show how very young students develop views of distributions, focusing on aspects of students’ conjecturing distributions, in order to look for the possibility of teaching related to distribution for the lower grades at elementary school. For this purpose, first, the study designed and implemented the teaching experiment for 2nd graders. Then, the study analyzed students’ views of distributions with the framework based on the SOLO Taxonomy, focusing on aspects of students’ conjecturing distributions in the teaching experiment. The analysis showed the following:
- Some students could utilize the awareness of variability as reasons for conjecturing distributions.
- Students’ views of distributions were undeveloped at the beginning. Many students, however, could develop powerful views of distributions by conjecturing them based on the process of growing samples or with graphical representations.
• Two variable function and mathematical modeling
Yoshiki Nisawa, Seiji Moriya, Nobuki Watanabe
2010 Volume 51 Issue 1-2 Pages 15-24
Published: 2010
Released: April 21, 2020
JOURNALS OPEN ACCESS
Current school mathematics education has various problems. High school students and teachers tend to give priority only to the university entrance exam questions to be solved. Therefore, they bias the practice of solving only the entrance exam questions, and understanding of mathematics concept is not enough. And they lack "an understanding of the utility of mathematics",especially "an understanding of relations between mathematics and daily life". So the purpose of this study is to make the curriculum of teaching analysis. In this paper, we verified the significance and the possibility of multi variable functions (two-variable functions) from educational practice. From the results of the educational practice research, the significance of multi-variable functions in a secondary education stage was verified.
• Development of teaching materials with edutainment
Fumiko Sugiyama, Taketoshi Nojima
2010 Volume 51 Issue 1-2 Pages 25-38
Published: 2010
Released: April 21, 2020
JOURNALS OPEN ACCESS
We have been proposing learning materials with edutainment. In this paper, we show the folding models of a flat membrane tessellated by regular polygons with Archimedean and equiangular spiral configurations for the purpose of the development of learning materials. These models are useful for teaching tessellation, Archimedean spiral, equiangular spiral and so on. Also, children will be able to actually feel interest in mathematics thorough making models by themselves. We describe the drawing method mathematically so that the teachers might give students a diagram drawn by themselves, and the students of the upper-grade might design by themselves.
• Toshikazu Ikeda, Kimio Watanabe
2010 Volume 51 Issue 1-2 Pages 39-50
Published: 2010
Released: April 21, 2020
JOURNALS OPEN ACCESS
Four subsystems of geometrical inquiry in school mathematics that assist in the transition from concrete manipulation to abstract manipulation were identified: (1) analysis with intuitive and concrete manipulation; (2) elementary geometrical analysis without numerical and algebraic methods; (3) elementary geometrical analysis using numerical and algebraic methods; and (4) coordinate geometrical analysis. After identifying the educational values to treat oscillatory activity in geometrical subsystems, we developed two teaching materials—“folding a golden rectangle” and “making a square by cutting a rectangle”. The characteristics of two teaching materials is to start from concrete manipulation and then consider the problem using numerical and algebraic methods, and finally consider it with only elementary geometrical properties without numerical and algebraic methods. It will enable students to consider the problem concretely and appreciate both the convenience of consideration within subsystem (3) and the beauty of elementary geometrical structure derived from consideration within subsystem (2).
• Hiroko Nakanishi, Akinobu Takeuchi, Hiromi Fukasawa
2010 Volume 51 Issue 1-2 Pages 51-60
Published: 2010
Released: April 21, 2020
JOURNALS OPEN ACCESS
The Japanese Ministry of Education, Culture, Sports, Science and Technology 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 addition, partial enforcement of the new courses of study took effect in 2009. We carried out fact-finding surveys of statistics education and statistical graph education in elementary schools and junior high schools in 2008, as well as follow-up surveys of statistics education in the elementary schools and the junior high schools in 2009. We summarize the results of these surveys. And by comparing the two sets of surveys, we examine the influence of the new courses of study on statistics education in the elementary schools and the junior high schools.