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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
> Journal Vol & Issue
Education of Primary School Mathematics
Journal Basic Information
Journal DOI :
Korea Society of Mathematical Education
Editor in Chief :
Volume & Issues
Volume 14, Issue 3 - Dec 2011
Volume 14, Issue 2 - Aug 2011
Volume 14, Issue 1 - Apr 2011
Selecting the target year
Pedagogical Approach of the Nine Chapters on the Mathematical Art and Nam Byung Gil's GuJangSulHae
Jung, Hae-Nam ;
Education of Primary School Mathematics, volume 14, issue 2, 2011, Pages 103~116
'The nine chapters on the mathematical art' has dominated the history of Chinese mathematics. It contains 246 problems and their solutions, which fall into nine categories that are firmly based on practical needs. But it has been greatly by improved by the commentary given Liu Hui and it was transformed from arithmetic text to mathematics. The improved book served as important textbook in China but also the East Asian countries for the past 2000 years. Also It is comparable in significance to Euclid's Elements in the West. In the middle of 19th century, Chosun mathematicians Nam Byung Gil(南秉吉) and Lee Sang Hyuk(李尙爀) studied mathematical structures developed in Song(宋) and Yuan(元) eras on top of their early on 'The nine chapters' and 'ShuLiJingYun(數理精蘊)'. Their studies gave rise to a momentum for a prominent development of Choson mathematics in the century. Nam Byung Gil is also commentator on 'The Nine Chapters'. His commentary is 'GuJangSulHae(九章術解)'. This book provides figures and explanations of how the algorithms work. These are very helpful for prospective elementary teachers. We try to plan programs of elementary teacher education on the basis of 'The Nine Chapters' and 'GuJangSulHae'.
Mathematical Task Types to Enhance Creativity
Park, Man-Goo ;
Education of Primary School Mathematics, volume 14, issue 2, 2011, Pages 117~134
The purpose of this research was to analyze mathematical task types to enhance creativity. Creativity is increasingly important in every field of disciplines and industries. To be excel in the 21st century, students need to have habits to think creatively in mathematics learning. The method of the research was to collect the previous research and papers concerning creativity and mathematics. To search the materials, the researcher used the search engines such as the GIL and the KISTI. The mathematical task types to enhance creativity were categorized 16 different types according to their forms and characteristics. The types of tasks include (1) requiring various strategies, (2) requiring preferences on strategies, (3) making word problems, (4) making parallel problems, (5) requiring transforming problems, (6) finding patterns and making generalization, (7) using open-ended problems, (8) asking intuition for final answers, (9) asking patterns and generalization (10) requiring role plays, (11) using literature, (12) using mathematical puzzles and games, (13) using various materials, (14) breaking patterned thinking, (15) integrating among disciplines, and (16) encouraging to change our lives. To enhance students' creativity in mathematics teaching and learning, the researcher recommended the followings: reshaping perspectives toward teaching and learning, developing and providing creativity-rich tasks, applying every day life, using open-ended tasks, using various types of tasks, having assessment ability, changing assessment system, and showing and doing creative thinking and behaviors of teachers and parents.
A Study on the Development and Application of Teaching and Learning Model for the Improvement of Mathematical Communication Ability
Lee, Eun-Ju ; Lee, Dae-Hyun ;
Education of Primary School Mathematics, volume 14, issue 2, 2011, Pages 135~145
When mathematicians solve the new problems, they present the solutions to their colleagues for getting the approval. If the solution is accepted, it will be theorems. This phenomenon also happens to classrooms in elementary and secondary school. That is main reason to emphasize mathematical communication activities in mathematics education. This study is aimed to develop teaching and learning model for the improvement of mathematical communication ability, applicate the teaching and learning model to two groups and analyze for mathematical thoughts. This study is a case study of 3rd grader's activities. Eight students, four are group applied the teaching and learning model and four are traditional group. The results have been drawn as follows: First, students in the teaching and learning model group induced richer interactions for student's understanding and investigation when we compare to those of traditional group. Second, students in the teaching and learning model group have the chance to explain their thoughts. And we can observe students to clear on their thought through speaking and discussing. This model makes students to enhance organizing, forming and clearing in their mathematical thoughts and is effective to estimate of students thought for teacher.
A Survey of the Use and Conception of Mathematical Communication: Focused on Teachers of the First and Second Graders
Kim, Sang-Hwa ; Pang, Jeong-Suk ;
Education of Primary School Mathematics, volume 14, issue 2, 2011, Pages 147~164
The national mathematics curriculum revised in 2007 emphasized students' mathematical communication and the curriculum is currently applied to all grades. In order to promote students' mathematical communication, the teacher needs to understand full implications and apply them to instruction. This study examined how teachers employed mathematical communication in their instruction and how they perceived it. The results showed that teachers had lack of understanding of student-centered instruction and mathematical communication. They also did not use various representation activities and discussion-based activities as expected. The number of students per classroom was reported by teachers as a main barrier to promote mathematical communication, but it did not make substantial differences in practice. Building on the results, this paper included implications for improving teachers' conception of mathematical communication.
Effects of Mathematical Instructions Based on Constructivism on Learners' Reasoning A bility
Cho, Soo-Yun ; Kim, Jin-Ho ;
Education of Primary School Mathematics, volume 14, issue 2, 2011, Pages 165~185
The purpose of this study is to confirm the effects of the learner-centered instruction based on constructivism on learners' reasoning ability and their achievements which is closely related to reflective abstracting ability. To do it, learner-centered instructions for division was implemented, recall test, generation test, content reasoning test I and II were carried out. The following conclusions were drawn from the data we got. Experimental group(EG) improved their reasoning ability, while comparison group(CG) did not. EG showed statistically significant difference in the achievements of the contents learned in comparing with CG, and the difference in the achievements of the contents unlearned in the treatment in comparing with CG was higher than the one. In addition, the comparisons of the subgroups(high, middle, and low) between EG and CG showed that the treatment had a positive influence on the achievement to all subgroups in EG. That is, the treatment was effective for unable learners. Finally, EG showed statistically significant difference in the sub-domain of simple calculation which might be considered as the benefits of the treatment of the CG as well as in the sub-domain of concept and principle.
Future Research Topics in the Field of Mathematical Problem Solving: Using Delphi Method
Kim, Jin-Ho ; Kim, In-Kyung ;
Education of Primary School Mathematics, volume 14, issue 2, 2011, Pages 187~206
Mathematical problem solving have placed as one of the important research topics which many researcher have been interested in from 1980's until now. A variety of topics have been researched: Characteries of problem; Processes of how learners to solve them and their metaoognition; Teaching and learning practices. Recently, the topics have been shifted to mathematical learning through problem solving and the connection of problem solving and modeling. In the field of mathematical problem solving where researcher have continuously been interested in, future research topics in this domain are investigated using delphi method.
Exploring the Possibility of Differentiated Instruction in Mathematics Gifted Education of Elementary School-Level
Kim, Min-Jeong ; Kim, Jae-Won ; Son, Jeong-Woo ; Han, In-Ki ;
Education of Primary School Mathematics, volume 14, issue 2, 2011, Pages 207~218
This research is to explore mathematics gifted education which considered individual difference of gifted students in elementary school-level. The purpose of this study is to develop a differentiated instruction model and mathematical materials for gifted students that consider students' individual difference. We also investigate effectiveness of differentiated instruction through change of self-directed learning ability and studying satisfaction of gifted students. The results of this study will provide basic information on the after research related with development and application of mathematics gifted education program and differentiated instruction.