A study on mathematics books of Joseon Dynasty
이상구 Sang Gu Lee , 이재화 Jae Hwa Lee
25(1) 119, 2011
이상구 Sang Gu Lee , 이재화 Jae Hwa Lee
DOI: JANT Vol.25(No.1) 119, 2011
HPM(History and Pedagogy of Mathematics) become an important issue to us now. Study on old Korean mathematics books were made recently. We study mathematics books in Kyujanggak in this article. Horng WannSheng 洪萬生, an math. historian and a member of editorial board of Historia Mathematica, visited Kyujanggak, the royal library of Joseon Dynasty. After his visit, he published a paper, "The first visit to mathematics books in Kyujanggak 奎章閣收藏算書初訪"(2008 Kyujanggak 32, p. 283293). In his paper, he also raised several research problems on the history of Korean mathematics. In this paper, we analyze his paper "The first visit to mathematics books in Kyujanggak" and give some answers to those raised problems on Korean mathematics. Also we correct some misunderstanding of Horng on some facts. Especially, we make it clear that the author of SinJungSanSul(New Arithmetics 新訂算術) was not Lee SangSeol(李相卨), whom Horng considered as the author, but Lee GyoSeung(李敎承) through the correct translation of its preface and an article about its copyright lawsuit. And we added some pathways how Chinese mathematics books were imported by Joseon. We introduce the case of Hong DaeYong(洪大容) in detail.

The Roles of Structural Similarity, Analytic Activity and Comparative Activity in Stage of Similar Mathematical Problem Solving Process
노은환 Eun Hwan Roh , 전영배 Young Bae Jun , 강정기 Jeong Gi Kang
25(1) 2145, 2011
노은환 Eun Hwan Roh , 전영배 Young Bae Jun , 강정기 Jeong Gi Kang
DOI: JANT Vol.25(No.1) 2145, 2011
It is the aim of this paper to find the requisites for the target problem solving process in reference to the base problem and to search the roles of those. Focusing on the structural similarity, analytic activity and comparative activity in stage of similar mathematical problem solving process, we tried to find the roles of them. We observed closely how four students solve the target problem in reference to the base problem. And so we got the following conclusions. The insight of structural similarity prepare the ground appling the solving method of base problem in the process solving the target problem. And we knew that the analytic activity can become the instrument which find out the truth about the guess. Finally the comparative activity can set up the direction of solution of the target problem. Thus we knew that the insight of structural similarity, the analytic activity and the comparative activity are necessary for similar mathematical problem to solve. We think that it requires the efforts to develop the various programs about teachinglearning method focusing on the structural similarity, analytic activity and comparative activity in stage of similar mathematical problem solving process. And we also think that it needs the study to research the roles of other elements for similar mathematical problem solving but to find the roles of the structural similarity, analytic activity and comparative activity.

Reporting the Activities of Professional Development System for Enhancing Elementary Mathematical Teaching Professionalism
박영희 Young Hee Park
25(1) 4761, 2011
박영희 Young Hee Park
DOI: JANT Vol.25(No.1) 4761, 2011
The purpose of this study is to suggest a professional development system for elementary teachers who wish enhance mathematical teaching. The learning community on elementary mathematical teaching was composed of fourth grade teachers in a elementary school and an expert from education university. The activities was processed as establishing of objectives and contents of the learning community, discussing and seeing good lesson video, planning the lesson in collaboration with members, practicing the lesson, and reflecting on activities. To analyze these activities, record materials of meetings, lesson videos, member`s writing were used. The results reported that the learning community lead teachers to search the method of professional development and showed itself as the effective media to enhance elementary mathematical teaching professionalism.

Exploring a Teaching Method of Limits of Functions with Embodied Visualization of CAS Graphing Calculators
조정수 Cheong Soo Cho
25(1) 6378, 2011
조정수 Cheong Soo Cho
DOI: JANT Vol.25(No.1) 6378, 2011
The purpose of this study is to explore a teaching method of limits of functions with more intuitive and visual of CAS graphing calculators rather than with the rigorous ε  δ method. Texas Instruments Voyage200 CAS graphing calculators are used for studying the possibility of the use of technology in calculus course. For this, various related theoretical constructs are reviewed: concept image, concept definition, cognitive conflict, the use of visualization of technology for calculus concepts, the theory of APOS, and local straightness. Based on such theoretical constructs this study suggests a teaching method of limits of functions with embodied visualization of CAS graphing calculators.

An Analysis on the Development Tendency of Teaching and Learning Materials for the Gifted Students in the Middle School
전선미 Sun Mi Jun , 유원석 Won Sok Yoo
25(1) 7997, 2011
전선미 Sun Mi Jun , 유원석 Won Sok Yoo
DOI: JANT Vol.25(No.1) 7997, 2011
As the necessity of the special education for the gifted to develop their talents and national power is gradually recognized, many kinds of teachinglearning materials have been developed. However, the development tendency of the materials is not systematically studied because their database is not sufficiently constructed nor most of them are made public. In this research, we would like to provide the reference data to improve the quality of developed materials and reduce the deviation among the classified fields when we will develop the teachinglearning materials by collecting the already developed materials and analyse their development tendency by classifying them according to the contents.

A Case Study on the classroom Life and the identity of the Elementary Mathematics Gifted Education
이학로 Hak Ro Lee , 류성림 Sung Rim Ryu
25(1) 99118, 2011
이학로 Hak Ro Lee , 류성림 Sung Rim Ryu
DOI: JANT Vol.25(No.1) 99118, 2011
For this case study of gifted education, two classrooms in two locations, show life in general of the gifted educational system. And for this case study the identity of teachers and the gifted, help to activate the mathematically gifted education for these research questions, which are as followed: Firstly, how is the gifted education classroom life? Secondly, what kind of identity do the teachers and gifted students bring to mathematics, mathematics teaching and mathematics learning? Being selected in the gifted children`s education center solves the research problem of characteristic and approach. Backed by the condition and the permission possibility, 2 selected classes and 2 people, which are coming and going. Gifted education classroom life, the identity of teachers and gifted students in mathematics and mathematics teaching and mathematic learning. It will be for 3 months, with various recordings and vocal instruction between teacher and students. Collected observations and interviews will be analyzed over the course of instruction. The results analyzed include, social participation, structure, and the formation of the gifted education classroom life. The organization of classes were analyzed by the classes conscious levels to collect and retain data. The classes verification levels depended on the program`s first class incentive, teaching and learning levels and understanding of gifted math. A performance assessment will be applied after the final lesson and a consultation with parents and students after the final class. The six kinds of social participation structure come out of the type of the most important roles in gifted education accounts, for these types of group discussions and interactions, students must have an interaction or individual activity that students can use, such as a work product through the real materials, which release teachers and other students for that type of questions to evaluate. In order for the development of meaningful mathematical concepts to formulate, mathematical principles require problem solving among all students, which will appear in the resolution or it will be impossible to map the meaning of the instruction from which it was formed. These results show the analysis of the mathematics, mathematics teaching, mathematics learning and about the identity of the teachers and gifted. Gifted education teachers are defined by gifted math, which is more difficult and requires more differentiated learning, suitable for gifted students. Gifted was defined when higher level math was created and challenged students to deeper thinking. Gifted students think that gifted math is creative learning and they are forward or passive to oneway according to the education atmosphere.

A Survey of the Connected Mathematics Project
김해규 Hae Gyu Kim
25(1) 119145, 2011
김해규 Hae Gyu Kim
DOI: JANT Vol.25(No.1) 119145, 2011
We study on the Connected Mathematics Project(CMP), one of the American mathematics education reform projects which have been promoted since the 1990s, so that we can provide some suggestions for the recent research of developing the 2009 Korean Mathematics Curriculum. In this paper, we examine the background of the CMP, the controversies over the textbooks [CMP1 textbooks] developed by CMP[CMP1] implemented from 1991 till 1996, and the curriculum of the CMP[CMP2] revised from CMP1 and carried from 2000 till 2006. Through the literature study, we can see that the CMP2 curriculum has reflected some of those controversies of the CMP1 textbooks by introducing procedures for students` acquiring basic skills, reducing the number of lessons and the contents supposed to be learned in each lesson, putting more stress on algebra and adding data analysis contents more.

On Exploring the Properties of Pythagorean Triples Using Spreadsheets
손홍찬 Hong Chan Son
25(1) 147166, 2011
손홍찬 Hong Chan Son
DOI: JANT Vol.25(No.1) 147166, 2011
In this paper, we listed and discussed the properties of the Pythagorean triples which 5 gifted 9th graders could draw in spreadsheets environments. And we also discussed their implications. In detail, in spreadsheets environments students could make the table of Pythagorean triples easily under several conditions of generate numbers of Pythagorean triples. And they could draw several properties of Pythagorean triples from the tables and could prove them. In spreadsheets environments it is easy to give students chances of generalization of the properties of Pythagorean triples which they had obtained from the concrete table of Pythagorean triples.

The Effect of Basic Mathematical Ability Improvement Program on Scholastic Achievement and Scholastic Motivation: A Case Study on Engineering Freshmen in D University
이정례 Jung Rye Lee , 이성진 Sung Jin Lee , 권혁홍 Hyuk Hong Kwon , 이경희 Gyeoung Hee Lee
25(1) 167184, 2011
이정례 Jung Rye Lee , 이성진 Sung Jin Lee , 권혁홍 Hyuk Hong Kwon , 이경희 Gyeoung Hee Lee
DOI: JANT Vol.25(No.1) 167184, 2011
In D university, 2010 year engineering freshmen were taken basic mathematical ability test and were given basic mathematical ability improvement program based on the test. In order to study the effect of this program for scholastic achievement, we analyse basic mathematical ability test score and college mathematics score among student groups. And to study the effect of this program for scholastic motivation, we survey the mathematical inclination, the recognition of mathematics, and classes of mathematics. As results, engineering freshmen in D university were poor at basic mathematical ability and basic mathematical ability improvement program effected scholastic achievement and motivation in mathematics, greatly. For the success of college mathematics in engineering college, this study suggests basic mathematical ability test and the survey for engineering freshmen`s mathematical background. Finally, we suggest that college mathematics must be focused on the improvement of basic mathematical abilities

Analyzing a Mathematical Gifted Student`s Output for MentorIndependent Study: A Case Study Focused on Mathematics Education for the Gifted
이헌수 Heon Soo Lee , 박종률 Jong Youll Park
25(1) 185205, 2011
이헌수 Heon Soo Lee , 박종률 Jong Youll Park
DOI: JANT Vol.25(No.1) 185205, 2011
In this paper, we investigated the mathematical output of a gifted student`s independent study. We chose one student who was taking a mentorship course in mathematics at the Gifted Education Center in Chonnam National University, and analyzed the characters of the result which a student showed through the output of independent study and studied the psychological change of a student while he was making a presentation of the results of his study. We found following facts. First, a mentorindependent study improves a mathematical gifted student`s inductive thinking and ability to generalize and apply to other cases. Second, presenting a mathematical gifted student`s output for mentorindependent study improves his ability of mathematical communication in the abilities of creative problem solving. Finally, there is an increased change in his perception and selfefficacy of mathematics after the presentation.

A Study on Development of Gifted Educational Materials Using Diabolical Cube
심상길 Sang Kil Shim
25(1) 207219, 2011
심상길 Sang Kil Shim
DOI: JANT Vol.25(No.1) 207219, 2011
The purpose of this article is to study characteristics of diabolical cube in geometric point of view, and to present educational materials and direction for efficient diabolical cube activities in gifted education upon systematical analysis of methods of finding solutions. We can apply inclusionexclusion Method to find all possible combination of solutions in diabolical cube activities not as trialanderror method but as analytical method. Through teacher`s questions and problem posing in activities using diabolical cube, we systematically came up with most solution and case of all possible combinations be solution in classifying properties of pieces and combining selected pieces.

Study on the ways of sharing the Learning objectives presented by preservice teachers in elementary mathematics classrooms
권성룡 Sung Yong Kwon
25(1) 221243, 2011
권성룡 Sung Yong Kwon
DOI: JANT Vol.25(No.1) 221243, 2011
The purpose of this study is to investigate activities of sharing learning objectives in mathematics lesson and by doing that, to draw some conclusions on sharing learning objectives in elementary school mathematics lessons. To gather data, 82 preservice teachers who participated in 4week teaching practicum were asked to record their mathematics lesson and to transcribe their teaching activities. Specifically by analyzing the data, suggestions on how to share the learning objectives in elementary school mathematics were drawn.

A Comparison between Korean and American Sixth Grade Students in Mathematical Creativity Ability and Mathematical Thinking Ability
이강섭 Kang Sup Lee , 황동주 Dong Jou Hwang
25(1) 245259, 2011
이강섭 Kang Sup Lee , 황동주 Dong Jou Hwang
DOI: JANT Vol.25(No.1) 245259, 2011
In this study, the instrument of mathematical creative problem solving ability test were considered the differences between Korean and American sixth grade students in mathematical creativity ability and mathematical thinking ability. The instrument consists of 9 items. The participants for the study were 212 Korean and 148 American students. SPSS were carried out to verify the validities and reliability. Reliabilities(Cronbach α) in mathematical creativity ability is 0.9047 and in mathematical thinking ability is 0.9299 which were satisfied internal validity evaluation on the test items. Internal validity were analyzed by BIGSTEPS based on Rasch`s 1parameter item response model. The results of this study can serve as a foundation for understanding the Korean and American students differences in mathematical creativity ability and mathematical thinking ability. Especially we get the some informations on mathematical creativity ability for American`s fifth grade to seventh grade students.

The Effects of Pair Assistant Collaborative Learning on Academic Achievement of Second Year Middle School Students in the Areas of Probability and Figures
신행자 Haeng Ja Shin , 김성아 Seong A Kim , 심규박 Kyu Bark Shim
25(1) 261279, 2011
신행자 Haeng Ja Shin , 김성아 Seong A Kim , 심규박 Kyu Bark Shim
DOI: JANT Vol.25(No.1) 261279, 2011
We examined the effects of pair assistant collaborative learning on academic achievement of the 2nd year middle school students in the three subjects such as the Probability, Properties of Figures and Similarities of Figures. In order to carry out this study, we selected 2 classes of 2nd year students in a girls middle school in the Fall semester of 2009 and set up the experiment group and comparison group by the result of academic achievement tests given in the end of the Spring semester of 2009. Pair assistant collaborative learning was adopted for students in problem solving 2 or 3 times per a week in the experiment group and each academic achievement was given at the end of each subject in both groups. Also, we had a final survey to find out students` attitude to this collaborative learning. The achievement and survey were analysed by statistical methods. We conclude that our pair assistant collaborative learning was effective in Probability and Similarities of Figures Units. According to the result of survey, this collaborative learning brought about an opportunity to promote students` community spirit through reflecting each one`s role in the group.
