Insight Into an Structural Similarity in Stage of Similar Mathematical Problem Solving Process
전영배 Young Bae Jun , 노은환 Eun Hwan Roh , 강정기 Jeong Gi Kang
50(1) 112, 2011
전영배 Young Bae Jun , 노은환 Eun Hwan Roh , 강정기 Jeong Gi Kang
DOI: JANT Vol.50(No.1) 112, 2011
It is the aim of this paper to study the target problem solving process in reference to the base problem. We observed closely how students solve the target problem in reference to the base problem. The students couldn`t solve the target problem, although they succeed to find the base problem. This comes from failing to discover the structural similarity between the target problem and the base problem. Especially it is important to cognize the proper corresponding of primary components between the base problem and target problem. And there is sometimes a part component of the target problem equivalent to the base problem and the target problem can`t be solved without the insight into this fact. Consequently, finding the base problem fail to reach solving the target problem without the insight into their structural similarity. We have to make efforts to have an insight into the structural similarity between the target problem and the base problem to solve the target problem.

The Dynamic Assessment for Lower Grades of Primary School
이봉주 Bong Ju Lee
50(1) 1325, 2011
이봉주 Bong Ju Lee
DOI: JANT Vol.50(No.1) 1325, 2011
The Goals of mathematics education for the lower grades of primary school is to shape the basic concepts and the skills of mathematics. To achieve this goal, it is necessary an assessment which is able to help the students` learning activities by precisely diagnosing their basic mathematical capability. It should lend the students an assistance in diagnosing and revising their problems throughout teacher`s cognitive participation in the process of mathematical problem solving. I would like to suggest the dynamic assessment as one of these kinds of approaches. In order to prove the utilities of this way, it was examined the necessity of dynamic assessment on the basis of the Vygotsky`s theory after looking into the characteristics of the contents and methods of the mathematics education for the lower grades of primary school. Next, I researched the principles of the dynamic assessment and embodied the assessment tool to evaluate the mathematical achievement of the lower grades of the primary school. Lastly, it was provided the examples of the dynamic assessment tool in order to assist the practice of it.

A Study on the Content Knowledge via Analysis of Elementary Teachers` Cognition about Fundamental Figures(point, Line segment, angle)
최근배 Keun Bae Choi , 김해규 Hae Gyu Kim , 김대진 Dae Jin Kim
50(1) 2740, 2011
최근배 Keun Bae Choi , 김해규 Hae Gyu Kim , 김대진 Dae Jin Kim
DOI: JANT Vol.50(No.1) 2740, 2011
The purpose of this paper is to analyze and discuss the viewpoint dealing with the fundamental figurespoint, line segment, and angleof elementary school teachers. In fact, our main subjects in this article are as follows; how do elementary school teachers deal with the fundamental figures?, what is the general notion about the fundamental figures of elementary school teachers? Our such subjects come from the survey results about the fundamental figures in J. A. Ko(2009); the elementary school students have a tendency to regard the fundamental figures as not mathematical figures. In this article, we discuss mainly the metacognitive shift in the transform of notion, for example, from ``congruent`` concept to ``equal`` concept, about the fundamental figures.

An Analysis of the Whole Numbers and Their Operations in Mathematics Textbooks: Focused on Algebra as Generalized Arithmetic
방정숙 Jeong Suk Pang , 최지영 Ji Young Choi
50(1) 4159, 2011
방정숙 Jeong Suk Pang , 최지영 Ji Young Choi
DOI: JANT Vol.50(No.1) 4159, 2011
Given the importance of algebra in the early grades, this paper analyzed the contents of whole numbers and their operations from the perspectives of generalized arithmetic. In particular, the focus of analysis was given to the properties of 0 and 1, those of operations such as commutativity, associativity, and distributivity, and the relations between operations. As such, this paper analyzed in detail how such properties and relations were introduced and expanded across different grades. It is expected that many issues in this paper will serve basic information to develop instructional materials in a way to fostering students` algebraic thinking in the elementary grades.

Comments On the Definition of the Rational Exponent α(m/n) in Contemporary Korean Highschool Mathematics Textbooks
도종훈 Jong Hoon Do , 박윤범 Yun Beom Park
50(1) 6167, 2011
도종훈 Jong Hoon Do , 박윤범 Yun Beom Park
DOI: JANT Vol.50(No.1) 6167, 2011
There may be two methods defining the rational exponent α(m/n) for any positive real number α. The one which is used in all korean highschool mathematics textbooks is to define it as n√α(m) that is (α(m))(1/n). The other is to define it as (n√α)m, that is (α1/n)m. In this paper, we insist that the latter is more appropriate and universal, and that the contents of current textbooks on the definition of the rational exponent should be corrected.

A Study on The Development and Application of Mathematical Program to Improve Critical Thinking
이희석 Hee Suk Lee , 남승인 Seung In Nam
50(1) 6987, 2011
이희석 Hee Suk Lee , 남승인 Seung In Nam
DOI: JANT Vol.50(No.1) 6987, 2011
The aim of this research is to develop a ``program which improves critical thinking`` to improve elementary school students` mathematical thinking, and investigate the effect of program by applying and verifying the program. In order to achieve the objective, the author determined the factors of critical thinking capabilities matched to the discipline of mathematics, and accordingly designed relevant programs and test questions for critical thinking skills which contributes to improving the critical thinking of elementary school students, and thus applied the program the developed program of improving the critical thinking to both preliminary and main experiments, which verified the effects of the test method. The following results have been acquired through this research: In the preliminary inspection that this researcher has developed, it was able to predict that ``the program which improves critical thinking`` would have a positive influence on the students` critical thinking. In the main experiment which was performed after modifying and supplementing it, the result showed that the program had a positive influence on the students` critical thinking.

A Survey Research to Diagnose the Problems of Mathematics Education in Korea
박경미 Kyung Mee Park , 김동원 Dong Won Kim
50(1) 89102, 2011
박경미 Kyung Mee Park , 김동원 Dong Won Kim
DOI: JANT Vol.50(No.1) 89102, 2011
The purpose of this study is to diagnose the problems of mathematics education in Korea by conducting an indepth analysis of international comparative studies, a Delphi method, and a survey. Further analysis of TIMSS and PISA results also reveals several negative aspects of mathematics education practice in Korea. The mathematics education experts` opinions collected by Delphi method were classified into 12 categories: private education and testdriven education, curriculum and textbooks, lessons, evaluation, teacher, learner, teaching aid and facilities. affective aspects of mathematics, discrepancy between a theory and a practice, preservice/inservice teacher education and teacher employment test, education policy, and overall. Another survey was conducted to focus more on the development of curriculum which is a pending issue. Considering the fact that mathematics education should contribute to improve practical aspect as well as elaborate theoretical aspect, this study lays a foundation of improvement of mathematics education in Korea.

Mediating Effect of Learning Strategy in the Relation of Mathematics Selfefficacy and Mathematics Achievement: Latent Growth Model Analyses
염시창 Si Chang Yum , 박철영 Chul Young Park
50(1) 103118, 2011
염시창 Si Chang Yum , 박철영 Chul Young Park
DOI: JANT Vol.50(No.1) 103118, 2011
The study examined whether the relation between mathematics selfefficacy and mathematics achievement was partially mediated by the learning strategies, using latent growth model analyses. It was also examined the autoregressive, crosslagged (ARCL) panel model for testing the stability and change in the relation of mathematics selfefficacy and learning strategy over time. The study analyzed the firstyear to the thirdyear data of the Korean Educational Longitudinal Survey (KELS). The result of ARCL panel model analysis showed that earlier mathematics selfefficacy could predict later learning strategy use. There were linear trends in mathematics selfefficacy, learning strategy, and mathematics achievement. Specifically, mathematics achievement was increased over the three time points, whereas mathematics selfefficacy and learning strategies were significantly decreased. In the analyses of latent growth models, the mediating effects of learning strategies were overall supported. That is, both of initial status and change rate of rehearsal strategy partially mediated the relation of mathematics selfefficacy and mathematics achievement. However, in elaboration and metacognitive strategies, only the initial status of each variable showed the indirect relationship.

A Qualitative Research of Mathematical Understanding for Kindergarten`s Teachers about Early Childhood Mathematics Education
계영희 Young Hee Kye
50(1) 119128, 2011
계영희 Young Hee Kye
DOI: JANT Vol.50(No.1) 119128, 2011
In this paper, we studied into a qualitative research to see mathematical understanding of preschool and kindergarten`s teachers such as feeling attitude, parents` concern, difficulty of math teaching in kindergarten field, teacher`s role, type of feed back, beauty of math, relationship of real life, and self philosophy of math education. We selected 10 teachers whose career was 7∼10 years. Because this research way is qualitative, we can new aspect that teacher want to break their ignorance for math. Moreover, they would like to learn about math practicality, application, and beauty from art in professional training. Therefore we assert that fusion math lecture would support in the professional training for teacher, preschool or kindergarten`s president training, and remuneration training.
