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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
> Journal Vol & Issue
Communications of Mathematical Education
Journal Basic Information
Journal DOI :
Korea Society of Mathematical Education
Editor in Chief :
Sang-Gu Lee, Hye-Jeang Hwang
Volume & Issues
Volume 23, Issue 4 - Nov 2009
Volume 23, Issue 3 - Sep 2009
Volume 23, Issue 2 - May 2009
Volume 23, Issue 1 - Feb 2009
Selecting the target year
Developing Students' Latent Math-Learning Ability in College Mathematics Classes-II
Kim, Byung-Moo ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 483~506
In this study, as a way to develop students' latent ability of mathematics, we asked the students to write on the ways to develop their potential in mathematics. Each student chose his own topic relating to the development of potential in mathematics. In addition, we distributed questionnaires on the same topic to the students. The contents of questionnaires and the summaries of students' writings are given in appendix 1 and 2. Among the submitted writings, good writings and the suggested ideas in them are introduced for more effective instruction of mathematics in college. During the course of conducting this study, we had a good experience of seeking and finding the ways to develop students' potential in mathematics. Finally, for more rigorous study on this topic, we felt a need for conducting cooperative research with the colleagues.
Relation between folding and unfolding paper of rectangle and (0,1)-pattern
Lee, Sung-Gye ; Kim, Jin-Soo ; Choi, Won ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 507~522
In general, we do fold paper and unfold, it remain paper traces. We can be obtained by using rectangular paper, a mathematical fact and the program had a combination. Depending on the direction of the rectangle, folding paper in the form of variety shows valley and ridge signs of the appearance of this paper. By using (0,1)-code and (0,1)-matrix, we study four kinds of research. Therefore, traces of this view upside down rectangle folding paper how to fold inductive reasoning ability of the code and explore the relationship of traces. Finally, the mathematical content and program development can practice in the field.
Mathematics Academic Achievement Factors: a Case Study of the Second Grade Students at Middle Schools in Busan City and Kyungsangnam Do
Park, Dong-Joon ; Baek, Kyung-Moon ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 523~543
We conduct a survey to find out the academic achievement factors for 484 second grade students at two middle schools in Busan city and Kyungsangnam Do, respectively. The survey questionnaire includes home environment and background, students' personal character, relationships with friends, learning attitudes towards improving problem solving, variables related to teaching methods and teachers, the school's computer facilities, mobile class by students levels, private education current situations, etc. Private education current situations are presented according to regions. Based on survey data we perform factor analysis to find major factors affecting mathematics academic achievement. We analyze the characteristics of the major factors. We also propose basic data and implications to mathematics educators and mathematics teachers at middle schools for improving middle school mathematics education quality.
An Analysis on Mathematical Thinking Processes of Gifted Students Using Problem Behavior Graph
Kang, Eun-Joo ; Hong, Jin-Kon ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 545~562
This study is trying to analyze characteristics of mathematical thinking processes of the mathematical gifted students in an objective and a systematic way, by using "Protocol Analysis Method"and "Problem Behavior Graph" which is suggested by Newell and Simon as a qualitative analysis. In this study, four middle school students with high achievement in math were selected as subjects-two students for mathematical gifted group and the other two for control group also with high scores in math. The thinking characteristics of the four subjects, shown in the course of solving problems, were elicited, analyzed and compared, through the use of the creative test questionnaires which were supposed to clearly reveal the characteristics of mathematical gifted students' thinking processes. The results showed that there were several differences between the two groups-the mathematical gifted student group and their control group in their mathematical talents. From these case studies, we could say that it is significant to find out the characteristics of mathematical thinking processes of the mathematical gifted students in a more scientific way, in the sense that this result can be very useful to provide them with the chances to get more proper education by making clear the nature of thinking processes of the mathematical gifted students.
A viewpoint of mathematics through the preface of the mathematics text(算學書)
Lee, Kyung-Eon ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 563~581
In this study we review the representations used for emphasizing the significance and requirement of mathematics in Chinese and Korean mathematics text(算學書). Especially, we study four terms; first 六藝之一(육예지일, one of the six arts), second 伏義(복희, Fuxi) 周公(주공, Zhougong) 孔子(공자, Kongzi) 孔門(공문, Kongmen), third 道(도, dao) (색, ze) 微奧(미오, weiai) 精微(정미, jingwei), forth 經世之實用(경세지실용, usefulness in the real life). Through these representations that can be seen in the many mathematics text, we consider the author's efforts to improve the mathematics.
An Analysis on Errors of Students in Science and Engineering in Extremum Value of Functions
Shim, Sang-Kil ; Choi, Jae-Gil ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 583~597
The purposes of this study are to analyze error that the students in science and engineering show in the process of thinking a extremum value. First, in view of examples of incorrect answers that appeared in a test by students in science and engineering, it has been found that the most frequent incorrect answers were due to a lack of understanding about necessary matters and concepts. In this regard, it is necessary to use various examples and pictures(graphs) to teach students in science and engineering. In addition, it has been found that it is more effective to use questions asking why it happens and why they think that way to help those having difficulties in understanding various concepts and principles.
The Analysis of Relationship between Error Types of Word Problems and Problem Solving Process in Algebra
Kim, Jin-Ho ; Kim, Kyung-Mi ; Kwean, Hyuk-Jin ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 599~624
The purpose of this study was to investigate the relationship between error types and Polya's problem solving process. For doing this, we selected 106 sophomore students in a middle school and gave them algebra word problem test. With this test, we analyzed the students' error types in solving algebra word problems. First, We analyzed students' errors in solving algebra word problems into the following six error types. The result showed that the rate of student's errors in each type is as follows: "misinterpreted language"(39.7%), "distorted theorem or solution"(38.2%), "technical error"(11.8%), "unverified solution"(7.4%), "misused data"(2.9%) and "logically invalid inference"(0%). Therefore, we found that the most of student's errors occur in "misinterpreted language" and "distorted theorem or solution" types. According to the analysis of the relationship between students' error types and Polya's problem-solving process, we found that students who made errors of "misinterpreted language" and "distorted theorem or solution" types had some problems in the stage of "understanding", "planning" and "looking back". Also those who made errors of "unverified solution" type showed some problems in "planing" and "looking back" steps. Finally, errors of "misused data" and "technical error" types were related in "carrying out" and "looking back" steps, respectively.
Pedagogical Discussion on the concept of Tangent as a Linear Approximation
Kim, Young-Rock ; Lee, Young-Ie ; Han, Jong-Min ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 625~642
In the school mathematics the concept of tangent is introduced in several steps in suitable contexts. Students are required to reflect and revise their concepts of tangent in order to apply the improved concept to wider range of contexts. In this paper we consider the tangent as the optimal linear approximation to a curve at a given point and make three discussions on pedagogical aspects of it. First, it provides a method of finding roots of real numbers which can be used as an application of tangent. This may help students improve their affective variables such as interest, attitude, motivation about the learning of tangent. Second, this concept reflects the modern point of view of tangent, the linear approximation of nonlinear problems. Third, it gives precise meaning of two tangent lines appearing two sides of a cusp point of a curve.
Current trends of education of gifted students and investigation of more efficient management of educational system for gifted students
Kim, Young-Rock ; Kim, Jong-Yim ; Jang, Jae-Duck ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 643~682
There is no doubt that the national competitiveness, in 21st century, definitely depends on how effectively it has been producing high-qualify human resources. It is inevitable that we are required to produce outstanding people who are going to make the use of highly developed scientific technology. Every country has already set to concentrate their all efforts in cultivating competitive human resources, enabling it to strengthen its national competitiveness. We Korea, in order to keep up with it, have arranged legal and systematic basis and are putting spurs to producing competent human resources under the 영재교육진흥법 및 시행령, which took effect from March, 2002. With the lack of experience and short history of Gifted Education, however, it is true that we still have many problems in promoting it in reality, We are asked to improve it by finding out what problems we have in whole area of Gifted Education, such as defining conception, choosing target students, structuring system and managing students afterwards. Therefore, this study, especially focusing on Math of Gifted Education is to investigate the present situation of Gifted Education and to examine what we should do for administering Gifted Education in effective ways.
Classifications and analysis of articles in Journal series A
of Korean Society of Mathematics Education
Kim, Young-Rock ; Kim, Su-Yon ; Jang, Jae-Duck ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 683~705
In this study we classify and analyze 265 papers which had been published in the Journal Series A
in Korean Society of Mathematics Education from year 2000 to year 2008. We have also studied all the papers in the Journal Series A
in Korean Society of Mathematics Education last 46 years based on Professor Lee, Gang-sup's paper 'A Classification and Analysis of the Articles in -From issue 1 to issue 99-'.
The Analysis of Children's Understanding of Addition and Subtraction of Fractions
Kim, Kyung-Mi ; Whang, Woo-Hyung ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 707~734
The purpose of the study was to investigate how children understand addition and subtraction of fractions and how their understanding influences the solutions of fractional word problems. Twenty students from 4th to 6th grades were involved in the study. Children's understanding of operations with fractions was categorized into "joining", "combine" and "computational procedures (of fraction addition)" for additions, "taking away", "comparison" and "computational procedures (of fraction subtraction)" for subtractions. Most children understood additions as combining two distinct sets and subtractions as removing a subset from a given set. In addition, whether fractions had common denominators or not did not affect how they interpret operations with fractions. Some children understood the meanings for addition and subtraction of fractions as computational procedures of each operation without associating these operations with the particular situations (e.g. joining, taking away). More children understood addition and subtraction of fractions as a computational procedure when two fractions had different denominators. In case of addition, children's semantic structure of fractional addition did not influence how they solve the word problems. Furthermore, we could not find any common features among children with the same understanding of fractional addition while solving the fractional word problems. In case of subtraction, on the other hand, most children revealed a tendency to solve the word problems based on their semantic structure of the fractional subtraction. Children with the same understanding of fractional subtraction showed some commonalities while solving word problems in comparison to solving word problems involving addition of fractions. Particularly, some children who understood the meaning for addition and subtraction of fractions as computational procedures of each operation could not successfully solve the word problems with fractions compared to other children.
A Mathematics Teacher's Reflective Practice as a Process of Professional Development
Kim, Dong-Won ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 735~760
Most of every teachers' life is occupied with his or her instruction, and a classroom is a laboratory for mutual development between teacher and students also. Namely, a teacher's professionalism can be enhanced by circulations of continual reflection, experiment, verification in the laboratory. Professional development is pursued primarily through teachers' reflective practices, especially instruction practices which is grounded on
epistemology of practices. And a thorough penetration about situations or realities and an exact understanding about students that are now being faced are foundations of reflective practices. In this study, at first, we explored the implications of earlier studies for discussing a teacher's practice. We could found two essential consequences through reviewing existing studies about classroom and instructions. One is a calling upon transition of perspectives about instruction, and the other is a suggestion of necessity of a teachers' reflective practices. Subsequently, we will talking about an instance of a middle school mathematics teacher's practices. We observed her instructions for a year. She has created her own practical knowledges through circulation of reflection and practices over the years. In her classroom, there were three mutual interaction structures included in a rich expressive environments. The first one is students' thinking and justifying in their seats. The second is a student's explaining at his or her feet. The last is a student's coming out to solve and explain problem. The main substances of her practical know ledges are creating of interaction structures and facilitating students' spontaneous changes. And the endeavor and experiment for diagnosing trouble and finding alternative when she came across an obstacles are also main elements of her practical knowledges Now, we can interpret her process of creating practical knowledge as a process of self-directed professional development when the fact that reflection and practices are the kernel of a teacher's professional development is taken into account.
Word problem solving of simultaneous equations by 5th and 6th grade students
Yun, Min-Ji ; Pang, Jeong-Suk ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 761~783
Problem solving ability can be fostered by dealing with many different types of problems. We investigated how
graders who did not learn traditional algebraic methods might approach the word problems of simultaneous equations. This result reveals that the strategy of guess-and-check serves as a basis for elementary school students in solving simultaneous equations. A noticeable remark is that students used the guess-and-check strategy in various ways. Whereas some students changed a variable given in the problem step by step, others did in a sophisticated way focusing on the relation between two variables. Moreover, some students were able to write an equation which was not typical but meaningful and correct. This paper emphasizes the need of connections between pre-algebraic and algebraic solutions.
A Study on Teaching Methods of Trigonometric Functions through Experimental Mathematics measuring height and width of buildings
Kim, Ki-Won ; Kim, Mi-Na ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 785~801
The education of mathematics is comprised of formal thoughts so students lose interest and they don't have a chance to have a liberal mind. To solve this problem, recently, the flow of mathematic education is changing from formal mathematics to experimental mathematics, which focuses on student's activity and experience. Experimental mathematics can improve student's interest and participation. This study is about teaching methods of trigonometric functions through experimental mathematics measuring height and width of buildings. For measuring height of buildings we use clinometer and for measuring width of buildings we developed a mathematical tool with which we can measure angle for width of buildings. Through this activity, students obtained an interest in mathematics and they gained a positive attitude for the lesson. If we use this experimental mathematics method in high school, it's possible to reduce fears of mathematics and to increase an interest for mathematics.
The Concept of Creativity and Its Enhancement in Mathematics Education
Park, Man-Goo ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 803~822
Creativity is emerging as one of the key components in every areas. In mathematics education, creativity or mathematical creativity is emphasized even though the definition of the term is inconsistence among every research. The purpose of this research was to identify the nature of mathematical creativity and provide the ways of strengthening it in the mathematics classroom. For this, students' mathematical strategies and problems in the elementary mathematics textbook were analyzed. The results showed that mathematically gifted students used a limited strategies and the problems in the textbooks were too simple to stimulate students' mathematical creativity. For the enhancement of students' mathematical creativity, we need to develop mathematically rich tasks and refine teacher education programs.
Improvement of teaching-learning methods for general mathematics education courses - Focused on Basic Calculus -
Pyo, Yong-Soo ; Cho, Sung-Jin ; Jeong, Jin-Mun ; Park, Jin-Han ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 823~848
In this paper, we try to find improved solutions for problems with general mathematics education courses. We suggest effective management strategies and teaching-learning methods by level-based classes with utilizing students survey and scholastic level assessment, and management of Mathematics Cafe and its homepage, and also setting example classes for assignments on the Webwork system and evaluating the class.
The Role-Setting of Mathematical Education about Korean Populism
Moon, Kwon-Bae ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 849~862
The goal of this study is to present essential methods of minimalizing Korean populism in our society through the investigation of relations between populism and mathematical education which people don't easily recognize. We made a thorough analysis on the populism-generating elements and then presented mathematical methods which could convert micro-way of thinking into macro-one. We believe that an explicit investigation of the relations between Korean populism and mathematical education and the ensuing appropriate role-setting of mathematical education would help secure an essential solution for minimalizing populism in our society.
Students' Perspectives towards M-learning Achievement, and Disposition towards Mathematics Using a mobile phone
ChoiKoh, Sang-Sook ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 863~885
In the era of wireless internet, we are apt to use a mobile phone for learning mathematics, besides the pc computer and the notebook computer. This study was to investigate the effect of M-learning when students were given a wireless mobile phone in terms of their perspectives towards the use of a mobile phone, achievement and attitudes towards mathematics. They were the 3th grader in a high school, who were expected to take Aptitude Test for the entrance of the university level. The most students who took an ubiquitous environment of M-learning showed it as a benefit for learning mathematics and did not spend time at other activities such as listening to music, sending text-message, playing games, etc, but at the M-learning activities. The students who engaged in the M-learning activities were improved a significantly higher score at Aptitude Test than the students who took the make-up courses in the school and also did a significantly higher disposition towards mathematics which was caused by curiosity among 7 components of the mathematical disposition.
Analysis of various proofs of Pythagorean theorem
Kim, Young-Rock ; Noh, Hee-Sung ; Son, Eun-Hae ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 887~921
Pythagorean theorem is one of mathematical contents which is widely used during human culture have developed. There are many historial records related to Pythagorean theorem made by Babylonian, Egyptian, and Mesopotamian. The theorem has the important meaning for mathematics education in secondary school education. Along with the importance of the proof itself, diverse proof methods and ideas included in their methods are also important since the methods improve students' ability to think mathematics. Hence, in this paper, we classify and analyze 390 proof methods published in the book "All that Pythagorean theorem" and other materials. Based on the results we derive educational meaning in mathematics with respect to main idea of the proof, the preliminaries of the study, and study skills used for proof.
Analysis on the term examinations of middle school
Kang, Pyung-Lyun ; Kim, Byung-Ju ;
Communications of Mathematical Education, volume 23, issue 3, 2009, Pages 923~951
In this paper, we have analyzed the term examinations on quadratic equations and functions in middle schools based on the object of evaluations given by the ministry of education, science and technology of Korea.