A Study on the Effect of playing Number Puzzle to Develop Mathematical Creativity and Creative Attitude in Mathematics for 6th Grader
백태진 Baek Tae Jin , 이광호 Lee Kwangho
21(2) 93109, 2018
백태진 Baek Tae Jin , 이광호 Lee Kwangho
DOI: JANT Vol.21(No.2) 93109, 2018
The purpose of this study is to develop the number puzzle program and the mathematical creativity test and to analyze the effects of the mathematical creativity and the creative attitude in mathematics. To accomplish this aim, the sixgrade students elementary school of thirtysix participated and this students participated Magic square, Sudoku, KenKen Puzzle activities in to the morning activity time for 30 minutes every morning and the pretest of before activity and the posttest of after activity were collected. The number puzzle activity helps improve the mathematical creativity and the creative attitude in mathematics of the elementary school students and improve the mathematical creativity of for female students rather than for male students.

A Comparative analysis on the Fraction Contents of Korean, Japanese, Singaporean, American, and Finnish Mathematics Textbooks
이대현 Lee Dae Hyun
21(2) 111130, 2018
이대현 Lee Dae Hyun
DOI: JANT Vol.21(No.2) 111130, 2018
In this study, I compared and analyzed the contents of Korean, Japanese, Singapore, American, and Finnish textbooks about fraction which is one of the important and difficult concepts in elementary school mathematics. This is aimed to get the implications for meaningful fractional teaching and learning by analyzing the advantages and disadvantages of the methods and time of introducing the concept because fraction has the diversity of the subconcepts and the introducing methods or process.
As a result of the analysis, the fraction was introduced as partwhole(area) in all five countries’ textbooks, but the use of number line, conversion between improper fraction and mixed number, whether to deal with partwhole(set) model. Furthermore, there are differences in the methods in obtaining of the equivalent fraction and the order of arrangement in comparison of fraction.
Through this analysis, we discussed the reconsideration of the introducing contexts of fractions, the use of number line when introducing fractions, and the problem of segmentation and classification of contents.

Aspects of Understandings on Statistical Variability across Varying Degrees of Task Structuring3
한채린 Chaereen Han , 이경원 Kyungwon Lee , 김도연 Doyen Kim , 배미선 Mi Seon Bae , 권오남 Oh Nam Kwon
21(2) 131150, 2018
한채린 Chaereen Han , 이경원 Kyungwon Lee , 김도연 Doyen Kim , 배미선 Mi Seon Bae , 권오남 Oh Nam Kwon
DOI: JANT Vol.21(No.2) 131150, 2018
The structure of a mathematics task shapes the aspects of learning of those who solve the task. This study explores the process of understandings on the statistical variability of primary school students. Students were given two problems with different degrees of structuring  a wellstructured problem (WSP) and an illstructured problem (ISP)  and discussed in a group to solve each task. The highest level of development achieved in both cases appeared to be similar. However, when given the ISP, students dynamically proposed ideas and justified the conclusion based on their hypothesis. Furthermore, all students actively participated in solving the ISP until the end whereas some students were marginalized while solving the WSP. This discrepancy results from the difference in the degrees of task structuring.

*Elementary School Students’ Perception of Mathematics Classroom Quality
박성선 Park Sungsun
21(2) 151162, 2018
박성선 Park Sungsun
DOI: JANT Vol.21(No.2) 151162, 2018
The purpose of this study was to investigate the effects of teacher’s mathematical belief and student’s mathematical performance, sex on the perception of mathematics classroom quality. And this study also detailed the relation between selfdirected learning attitude and perception of mathematics classroom quality. For this purpose, this study used ‘Students Perception of Mathematics Classroom Quality(SPOCQ)’ as an instrument. This instrument focuses on appeal, challenge, choice, meaningfulness, selfefficacy. The 430 5th and 6th grade elementary school students were included in sample.
The results obtained in this research are as follows;
First, there was a significant difference in the perception of mathematics classroom quality between positive mathematical belief teacher’s group and negative mathematical belief teacher’s group. So, teacher’s mathematical belief influence on the students’ perception of mathematics classroom quality.
Second, there was a significant difference according to the student’s mathematical performance and sex. The students of high mathematical performance usually had positive perception of mathematics classroom quality and the male students also had higher mean than female students.
Third, there was positive correlation between selfdirected learning attitude and perception of mathematics classroom quality.

Teachers’ Beliefs, Classroom Norms and Discourse, and Equity in Mathematics Classrooms
황성환 Sunghwan Hwang
21(2) 163192, 2018
황성환 Sunghwan Hwang
DOI: JANT Vol.21(No.2) 163192, 2018
The purpose of this study was to examine the relations among mathematics teachers’ beliefs, classroom norms and discourse, and equity issues in mathematics classrooms. In order to achieve this purpose, three teachers who work in the same school were analyzed. The analysis revealed that the participating teachers’ beliefs about mathematics teaching and learning and about their students’ abilities and motivation influenced the establishment of classroom norms and discourses that defined what students needed to do to be successful mathematics learners. Also, classroom norms and discourse affected the development of students’ identity and power and the level of equity in the classroom.

A Study on the Teaching Methods of Classification in view of Curriculum Convergence
김유경 Kim Yukyung
21(2) 193208, 2018
김유경 Kim Yukyung
DOI: JANT Vol.21(No.2) 193208, 2018
Classification is presented in the curriculum of elementary school mathematics, science, Korean language, and integrated subjects as the major function that needs to be learned. In addition, mathematics textbooks teach the classification as a basic process for organizing and interpreting collected materials in a separate unit. So, we analyzed the curriculum documents and textbooks of mathematics, science, Korean language, and integrated subjects. And we explored how to teach the classification in the context of mathematics subject. As a result, it is necessary to find different classification criteria in conjunction with detailed observation and investigation activities, and to teach that considering the circumstances and purpose of the classification. It also provided implications on how to revive converged classes that focus on big ideas and skills, which are commonly offered by various subjects.

Angle concepts and introduction methods of angles in elementary mathematics textbooks
김상미 Kim Sangmee
21(2) 209221, 2018
김상미 Kim Sangmee
DOI: JANT Vol.21(No.2) 209221, 2018
Angle concepts have a multifaceted nature such as quantitative aspects as the amount of rotation, qualitative aspects as geometric shapes, and relationship aspects made with planes or lines. This study analysed angle concepts and introduction methods of angles in elementary mathematics textbooks which have been used from the Syllabus Period to the 2015 Revised Mathematics Curriculum.
First, the concepts of angles in mathematics textbooks focus through the definitions, representations, and components of angles presented in mathematics textbooks are analyzed. Secondly, how various aspects of each angle are sequenced through the tasks or activties in the introduction of lesson is looked. As a result of analysis, the methods of introducing angles in the changes of mathematics textbooks have mainly focused on learning about geometric shapes and relations of components. In the mathematics classroom, students should experience various aspects of geometric shapes, rotations, relational aspects of points, lines and surfaces, and support and link them to form a wide range of concepts.

Elementary Students’ Mathematics Anxiety: A Review
김리나 Kim Rina
21(2) 223235, 2018
김리나 Kim Rina
DOI: JANT Vol.21(No.2) 223235, 2018
This literature review focuses on the history of research on elementary students’ mathematics anxiety. The results of analysis shows the characteristics, measurement tools, causes and the treatments of mathematics anxiety. The purpose of this study is to provide analytical views of elementary students’ mathematics anxiety to teachers, researchers and policymakers. I categorize the results of analysis according to the key words of literatures: (1) the relationship between mathematics anxiety and students’ behavior (2) measurements of mathematics anxiety (3) the causes of mathematics anxiety and (4) the treatment of mathematics anxiety.

The Comparison and Analysis of Models on Ratio and Rate in Elementary Mathematics Textbooks : Centering on Multiplicative Perspectives on Proportional Relationships and the Structure of Proportion Situations
박선영 Park Sun Young , 이광호 Lee Kwangho
21(2) 237260, 2018
박선영 Park Sun Young , 이광호 Lee Kwangho
DOI: JANT Vol.21(No.2) 237260, 2018
This study investigated the models of four countries’ elementary mathematics textbooks in Ratio and Rate and identified how multiplicative perspectives on proportional relationships and the structure of proportion situations are reflected in the textbooks. For this, textbooks of 5th and 6th grade textbooks in Korea Japan, Singapore and U.S. are compared and analyzed. As a result, we can find multiplicative perspectives on proportional relationships and the structure of proportion situations on pictorial models, ratio tables, double number lines and double tape diagrams. Also, the development of Japanese textbooks from multiple batches perspectives to variable parts perspectives and the examples of the use with two models together implied the connection and union of two multiplicative perspectives. Based on these results, careful verification and discussion for the next textbook is needed to develop students’ proportional reasoning and teach some effective reasoning strategies. And this study will provide the implication for what kinds of and how visual models are presented in the next textbook.
