An Analysis on the Peer Mentoring Effects on Students` Mathematical Character and Mathematics Achievements in Mathematics Lessons
배경준 Bae Kyung Joon , 박만구 Park Mangoo
19(4) 261276, 2016
배경준 Bae Kyung Joon , 박만구 Park Mangoo
DOI: JANT Vol.19(No.4) 261276, 2016
This study was to investigate the effects of peer mentoring on students` mathematical characters and mathematics achievements in mathematics class. The participants were twenty four 6th grade elementary students at the S school in SungbukGu, Seoul, Korea. They were divided into 4 groups according to the combination of groups. The researchers analyzed the experimental group and the control group with covariances on the subfactors of the mathematical characters such as respect, caring, sharing, and openness. However, there were no statistically significant changes. However, with the help of the two analyses on the mathematical logs and the worksheets which had been carried out in advance by the quantitative and qualitative research methods, the researchers investigated how the peer mentoringapplied instructions would change the mathematical characters for each subfactor in detail. In conclusion, the peer mentoringapplied instructions makes a positive contribution to the students` mathematical character and mathematical academic achievements. We suggest that peer mentoring in mathematics lessons should be adopted in various mathematical ability levels of students.

An Analysis on the Contents of Textbooks about Converting between a Mixed number and an Improper fraction
이대현 Lee Dae Hyun
19(4) 277289, 2016
이대현 Lee Dae Hyun
DOI: JANT Vol.19(No.4) 277289, 2016
Fraction is one of the concepts which are difficult to elementary school students. So, many researches about fraction were performed in mathematics education research. In special, fraction has so many subordinative conceptsproper fraction, improper fraction, mixed number. We have to concentrate on the conceptual understanding in teaching of fraction. In this case, a mixed number and improper fraction are concepts which can convert respectively. And there are methods that a mixed number and improper fraction can be converted. So, it`s needed to analyze the converting methods in textbooks for getting the implication of teaching in this areas. In this study, I analyzed the Korean and foreign`s textbooks. I certified the methodsusing addition expression, using partwhole model in the textbooks. For the conceptual understanding, I suggested to use the fusion of the various partwhole fraction models and addition expression more than the algorithm in converting between a mixed number and improper fraction. It`s reason that the use of models in converting between a mixed number and improper fraction is important for the relational understanding.

A Study on Solving Circumference of Plane Figure
노은환 Roh Eunhwan , 정상태 Jeong Sangtae
19(4) 291311, 2016
노은환 Roh Eunhwan , 정상태 Jeong Sangtae
DOI: JANT Vol.19(No.4) 291311, 2016
Researcher was interested in circumference of plane figure problem. Meanwhile, researcher found some difficulty in solving circumference problem with stair like plane figure. In this phenomenon, researcher felt to find the teaching method to help students with circumference of plane figure. For this, researcher analyzed many students` recording paper and had interview with few students. As a result researcher found that students had some difficulty in recognizing essential information and prior knowledge base was not made up. From these responses, this paper proposed teaching method for helping students about circumference related problems.

A Study on the Development and Effect of NumberOperation Games for Mathematical Creativity of Gifted Students
김용직 Kim Yong Jik , 조민식 Cho Minshik , 이광호 Lee Kwangho
19(4) 313327, 2016
김용직 Kim Yong Jik , 조민식 Cho Minshik , 이광호 Lee Kwangho
DOI: JANT Vol.19(No.4) 313327, 2016
The purpose of this study is to develop the numberoperation games and to analyze the effects of the games on mathematical creativity of gifted elementary students. We set up the basic direction and standard of mathematical gifted creativity program and developed the 10 periods games based on the mathematically gifted creative problem solving (MGCPS) model. And, to find out the change of students` creativity, the test based on the developed program and one group pretestposttest design was conducted on 20 gifted students. Analysis of data using Leikin`s evaluation model of mathematical creativity with Leikin`s scoring and categorization frame revealed that gifted students`s creativity is improved via the numberoperation games.

School Administrators` Perspectives of Effective Mathematics Instruction and Comparison to Teachers` Perspectives
권미선 Kwon Misun , 방정숙 Pang Jeongsuk
19(4) 329347, 2016
권미선 Kwon Misun , 방정숙 Pang Jeongsuk
DOI: JANT Vol.19(No.4) 329347, 2016
This paper investigated the views of effective mathematics instruction on the part of school administrators, and then compared and contrasted such views with those of elementary school teachers based on the previous study. A total of 32 school administrators participated in this study and responded to three types of the questionnaire. The results of this study showed that school administrators regarded good mathematics teaching as using concrete materials and teaching students to think. School administrators put their first priority on curriculum and content among four main domains of good mathematics teaching, and did on constructing curriculum among seven subdomains of good mathematics teaching. They agreed that good mathematics teaching includes teaching by reconstructing the curriculum according to students` various levels and teaching to emphasize the connection among mathematical concepts. However, they thought that good mathematics teaching might not include teaching for fluent calculation or teaching in wellequipped learning environment. The results of comparison of perspectives regarding good mathematics teaching between school administrators and teachers showed remarkably similar tendency. However, a noticeable difference was that school administrators agreed more than elementary school teachers with regard to the 20 elements related to effective mathematics instruction. This paper closes with implications based on the similarities and differences regarding effective mathematics instruction perceived by school administrators and teachers.

A CrossNational Study on Preservice Teachers` Conceptions of Equitable Mathematics Teaching
이지은 Lee Jieun , 김진호 Kim Jinho , 임웅 Lim Woong , 김상미 Kim Sangmee
19(4) 349360, 2016
이지은 Lee Jieun , 김진호 Kim Jinho , 임웅 Lim Woong , 김상미 Kim Sangmee
DOI: JANT Vol.19(No.4) 349360, 2016
This crossnational study examines the similarities and differences between Korean and U.S. preservice teachers` views on equitable mathematics teaching. Preservice teachers enrolled in mathematics education courses at the two sites (Korea, n=51; U.S., n=33) were administered a survey consisting of the following: (a) items about preservice teachers` views on equity relative to mathematical ability, classroom policies and practices, and access to learning opportunities, (b) items about preservice teachers` agreement in their views on recommended practices, and (c) items about participants` past learning experiences in an equitable learning environment as students. Similarities were found between the sites regarding the following: (a) advocating for equitable mathematics teaching, and (b) conceptualizing equitable teaching as a way to support the learning of less capable students. Differences were found with regard to nurturing growth mindsets in mathematics; positioning toward equal opportunities and outcomes in learning; and relating to grouping as collaborative learning strategies.

A Study on mathematical imaginations shown in children`s mathematical narratives
김상미 Kim Sangmee
19(4) 361380, 2016
김상미 Kim Sangmee
DOI: JANT Vol.19(No.4) 361380, 2016
This study aims to reflect on mathematical imaginations in learning mathematics and elementary students` mathematical imaginations. This was approaching a study of imagination not as psychological problems but as objects and methods of mathematics learning. First, children`s mathematical narratives were analysed in terms of Egan(2008)`s basic cognitive tools using imagination, that is, metaphor, binary opposites, rhymeㆍrhythmㆍpattern, jokesㆍhumor, mental imagery, gossip, play, mystery. Second, how children`s imaginations change under different grades was addressed.
