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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 26, Issue 4 - Nov 2012
Volume 26, Issue 3 - Sep 2012
Volume 26, Issue 2 - May 2012
Volume 26, Issue 1 - Feb 2012
Selecting the target year
Ki-Won Chang, The first specialist on the history of Korean mathematics
Lee, Sang-Gu ; Lee, Jae-Hwa ;
Communications of Mathematical Education, volume 26, issue 1, 2012, Pages 1~13
Ki-Won Chang(1903-1966) is considered as the first mathematician who made a contribution to the study of the history of Korean mathematics. In this paper, we introduce contributions of Ki-Won Chang, his discovery of old Korean literatures on mathematics, and his academic contribution on the history of Korean mathematics. Then we analyze and compare his conclusions on old Korean mathematics with recent works of others. This work shows some interesting discovery.
A Study on the relation between SDLR and Mathematical Inclination - A Case Study on Engineering Freshmen in D University -
Lee, Jung-Rye ; Lee, Gyeoung-Hee ;
Communications of Mathematical Education, volume 26, issue 1, 2012, Pages 15~28
In order to study the relation between self-directed learning readiness and mathematical inclination, we survey the adjusted SDLRS(self-directed learning readiness scale) of Guglielmino's model and the mathematical inclination, the recognition of mathematics for 2011 year engineering freshmen in D university. Research results are as follows: First of all, middle level engineering freshmen showed average level of self-directed learning readiness, and they had lower level of motivation, passion and time management skill. The relation of SDLR and the mathematical inclination was strong. Furthermore, SDLR and the recognition of mathematics in engineering freshmen was found to be the most closely related. Based on the results of the study, we suggest to study of strategies to elevate SDLR of engineering students and improve their achievement in college mathematics. Especially, we suggest that college mathematics for engineering freshmen must be focused on the improvement of SDLR.
Comparision on proficient level and below basic level students' mathematical achievement in the National Achievement Evaluation and Assessment
Kwon, Jeom-Rae ;
Communications of Mathematical Education, volume 26, issue 1, 2012, Pages 29~50
The purpose of this study is a comparison of proficient level and below basic level students' mathematical achievement in the National Achievement Evaluation and Assessment(NAEA). For the purpose, this study compared the proficient level and below basic level students' ratios, students' mathematical achievement of contents area and behavioral area in 6th, 9th, and 11th grades. This study found the change of proficient level and below basic level students' ratios, and the proficient level and below basic level students' characteristics on mathematical achievement of contents area and behavioral area in 6th, 9th, and 11th grades.
The Theoretical Generalization Appling the Strategy(WIOS) finding an Intrinsic Attribute
Roh, Eun-Hwan ; Jun, Young-Bae ; Kang, Jeong-Gi ;
Communications of Mathematical Education, volume 26, issue 1, 2012, Pages 51~69
The cognition of an intrinsic attribute play an important role in the process of theoretical generalization. It is the aim of this paper to study how the theoretical generalization is made. First of all, we suggest the What-if-only-strategy(WIOS) which is the strategy helping the cognition of an intrinsic attribute. And we propose the process of the theoretical generalization that go on the cognitive stage, WIOS stage, conjecture stage, justification stage and insight into an intrinsic attribute in order. We propose the process of generalization adding the concrete process cognizing an intrinsic attribute to the existing process of generalization. And we applied the proposed process of generalization to two mathematical theorem which is being managed in middle school. We got a conclusion that the what-if-only strategy is an useful method of generalization for the proposition. We hope that the what-if-only strategy is helpful for both teaching and learning the mathematical generalization.
Elementary Pre-service Teachers' Mathematical Knowledge for Teaching (MKT) on Number and Operations
Kim, Hae-Gyu ;
Communications of Mathematical Education, volume 26, issue 1, 2012, Pages 71~84
The purpose of this study is to analyze some Korean elementary pre-service teachers' Mathematical Knowledge for Teaching(MKT) and compare the results with those obtained by Kwon, Nam, & Kim(2009), so that we can provide some suggestions to improve education of elementary mathematics subject at Korean teachers colleges. For this purpose, we selected the MKT items on number and operations which were adapted for Korean in-service teachers by Kwon et al. The survey consisting of those items was administered to 88 Korean elementary pre-service teachers at teachers college, J University. The results are the following: First, the respondents, elementary pre-service teachers, showed that they already had a sufficient amount of Content Knowledge(CK) on number and operations, but that their level of Knowledge of Content and Students(KCS) was insufficient. This means we need to strengthen our students' KCS in education of elementary mathematics subject at our teachers colleges. Second, there was a strong correlation, in both CK and KCS, of item difficulty felt by the respondents with that by the Kwon et al's in-service teachers. Third, although the respondents valued the MKT items more than the above-mentioned elementary in-service teachers, about 70% of them said the items were never learned at their college. Furthermore, they had different opinions on some of the items from their counterparts'. The suggestions we get here are we need to first consider the results in improving education of elementary mathematics subject at our teachers colleges and second develop MKT items suitable for the situation of Korean schools and curriculums in order to obtain exact estimations of Korean elementary pre-service teachers' MKT.
A Study on the Types of Mathematical Justification Shown in Elementary School Students in Number and Operations, and Geometry
Seo, Ji-Su ; Ryu, Sung-Rim ;
Communications of Mathematical Education, volume 26, issue 1, 2012, Pages 85~108
The comprehensive implication in justification activity that includes the proof in the elementary school level where the logical and formative verification is hard to come has to be instructed. Therefore, this study has set the following issues. First, what is the mathematical justification type shown in the Number and Operations, and Geometry? Second, what are the errors shown by students in the justification process? In order to solve these research issues, the test was implemented on 62 third grade elementary school students in D City and analyzed the mathematical justification type. The research result could be summarized as follows. First, in solving the justification type test for the number and operations, students evenly used the empirical justification type and the analytical justification type. Second, in the geometry, the ratio of the empirical justification was shown to be higher than the analytical justification, and it had a difference from the number and operations that evenly disclosed the ratio of the empirical justification and the analytical justification. And third, as a result of analyzing the errors of students occurring during the justification process, it was shown to show in the order of the error of omitting the problem solving process, error of concept and principle, error in understanding the questions, and technical error. Therefore, it is prudent to provide substantial justification experiences to students. And, since it is difficult to correct the erroneous concept and mistaken principle once it is accepted as familiar content that it is required to find out the principle accepted in error or mistake and re-instruct to correct it.
The Study on the Investigation of the Evaluation Standards for Mathematics Teaching Focused on Teacher's Knowledge
Hwang, Hye-Jeang ;
Communications of Mathematical Education, volume 26, issue 1, 2012, Pages 109~135
On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out the following research such as : 1) development of the standards on teaching evaluation between 2004 and 2006, and 2) investigation on the elements of Teacher Knowledge. The purposes of development of evaluation standards for mathematics teaching through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. In this study, the standards were revised and modified by analyzing the results of those studies focused on the knowledge of subject matter knowledge, knowledge of learners' understanding, teaching and learning methods and assessments, and teaching contexts. For this purpose, the part of subject matter knowledge was consisted of four evaluation domains such as the knowledge of curriculum reconstruction, knowledge of mathematical contents, methodological knowledge, mathematical value. The part of Learners' unders tanding included the evaluation domains such as students' intellectual and achievement level, students' misconception in math, students' motivation on learning, students' attitude on mathematics learning, and students' learning strategies. The part of teaching methods and evaluation was consisted of seventh evaluation domains such as instruction involving instructional goal and content, instruction involving problem-solving activity, instruction involving learners' achievement level and attitude, instruction on communication skills, planning of assessment method and procedure, development on assessment tool, application on assessment result in class were new established. Also, the part of teaching context was consisted of four evaluation domains such as application of instructional tools and materials, commercial manipulatives, environment of classroom including distribution and control of class group, atmosphere of classroom, management of teaching contexts including management of student. According to those evaluation domains of each teacher knowledge, elements on teaching evaluation focused on the teacher's knowledge were established using the instructional evaluation framework, which is developed in this study, including the four areas of obtaining, planning, acting, and reflecting.
A study on the pedagogical consideration of the related knowledge for teaching 'Approximation' conception
Chung, Young-Woo ; Lee, Mok-Hwa ; Kim, Boo-Yoon ;
Communications of Mathematical Education, volume 26, issue 1, 2012, Pages 137~154
Approximation' is one of central conceptions in calculus. A basic conception for explaining 'approximation' is 'tangent', and 'tangent' is a 'line' with special condition. In this study, we will study pedagogically these mathematical knowledge on the ground of a viewpoint on the teaching of secondary geometry, and in connection with these we will suggest the teaching program and the chief end for the probable teaching. For this, we will examine point, line, circle, straight line, tangent line, approximation, and drive meaningfully mathematical knowledge for algebraic operation through the process translating from the above into analytic geometry. And we will construct the stream line of mathematical knowledge for approximation from a view of modern mathematics. This study help mathematics teachers to promote the pedagogical content knowledge, and to provide the basis for development of teaching model guiding the mathematical knowledge. Moreover, this study help students to recognize that mathematics is a systematic discipline and school mathematics are activities constructed under a fixed purpose.