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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 24, Issue 4 - Nov 2010
Volume 24, Issue 3 - Sep 2010
Volume 24, Issue 2 - May 2010
Volume 24, Issue 1 - Feb 2010
Selecting the target year
Investigating on the Building of 'Mathematical Process' in Mathematics Curriculum
Park, Hye-Suk ; Na, Gwi-Soo ;
Communications of Mathematical Education, volume 24, issue 3, 2010, Pages 503~523
The current mathematics curriculum are consist of the following domains: 'Characteristics', 'Objectives', 'Contents', 'Teaching and learning method', and 'Assessment'. The mathematics standards which students have to learn in the school are presented in the domain of 'Contents'. 'Contents' are consist of the following sub-domains: 'Number and Operation', 'Geometric Figures', 'Measures', 'Probability and Statistics', and 'Pattern and Problem-Solving' (Elementary School); 'Number and Operation', 'Geometry', 'Letter and Formula', 'Function', and 'Probability and Statistics' (Junior and Senior High School). These sub-domains of 'Contents' are dealing with mathematical subjects, except 'Problem-Solving' at the elementary school level. In this study, the sub-domain of 'mathematical process' was suggested in an equal position to the typical sub-domains of 'Contents'.
Effective management strategies of basic mathematics for low achievement students in university general mathematics
Pyo, Yong-Soo ; Park, Joon-Sik ;
Communications of Mathematical Education, volume 24, issue 3, 2010, Pages 525~541
The purpose of this thesis is to investigate the effects of the topics in basic mathematics on academic achievement in order to improve the problem-solving abilities of low achievement students in university general mathematics. This program has been conducted from P University as a part of Education Capacity Enhancing Project. The goals of this program are to make students who have fear to mathematics feel confident for mathematics, and make easier to study general mathematics and major field without any difficulties for the students. The topics in basic mathematics was enforced with solving problem based on comprehension of the basic concept and computer-based learning. The classes were organized as Algebra-Geometry, Calculus, and General mathematics class by students' applications for classes and basic academic ability. As a result, the topics in basic mathematics has been evaluated as positive way to effect satisfaction and learning effect for the students who have low-level in basic academic ability. And also, according to the survey, the result shows that assignment through Webwork system and Mathematica program practice are helpful for learning basic mathematics. But several measures are asked for participation in the class and prevention for quitter of participants.
On the analysis and correction of error for the simultaneous inequality with two unknown quantities
Jun, Young-Bae ; Roh, Eun-Hwan ; Kim, Dae-Eui ; Jung, Chan-Sik ; Kim, Chang-Su ; Kang, Jeong-Gi ; Jung, Sang-Tae ;
Communications of Mathematical Education, volume 24, issue 3, 2010, Pages 543~562
The purpose of this thesis is to analyze the error happening in the process of solving the simultaneous inequality with two unknown qualities and to propose the correct teaching method. We first introduce a problem about the simultaneous inequality with two unknown qualities. And we will see the solution which a student offers. Finally we propose the correct teaching method by analyzing the error happening in the process of solving the simultaneous inequality with two unknown qualities. The cause of the error are a wrong conception which started with the process of solving the simultaneous equality with two unknown qualities and an insufficient curriculum in connection with the simultaneous inequality with two unknown qualities. Especially we can find out the problem that the students don't look the interrelation between two valuables when they solve the simultaneous inequality with two unknown qualities. Therefore we insist that we must teach students looking the interrelation between two valuables when they solve the simultaneous inequality with two unknown qualities.
Toward Self-Directed Math Learning in College Math Classes
Kim, Byung-Moo ;
Communications of Mathematical Education, volume 24, issue 3, 2010, Pages 563~585
The major goals of this study are to find the factors that enhance self-directed math learning in college math classes and to provide the students with the opportunities to check and develop their self-directed math learning attitude. For these research goals, we prepared the questionnaires that asked about their learning motivations, basic learning ability, self-discipline strategies, and self-directed learning strategies. Another purpose of the questionnaires was to give them the chances to check and improve their attitude toward those learning strategies, motivation and ability. From the research results, we find that the important factors for self-directed learning are internal & external motivations, concentration ability, and the goal-setting and plan-making abilities. In addition, concentration ability, good habit, stress-control, recognition of math value, and self-directing ability are found to be necessary for the desirable learning environment. On the other hand, we find that the ability to perform note-taking, class preparation and review, time-control, and test-control is required for the selection and practice of self-fitting learning strategies. Finally, we provided our own self-directed math learning model. Our model, containing the necessary factors for self-directed math learning, is the revised and modified one of Knowles(1975)'s 5 stage self-directed learning model that comprises diagnosis of learning desire, setting learning goals, grasping human&material resources, selection and practice of proper learning strategies, and evaluation of learning results.
Textbook Analysis about Length Estimation and Exploration for an Alternatives
Ko, Jung-Hwa ;
Communications of Mathematical Education, volume 24, issue 3, 2010, Pages 587~610
This paper investigates the ways for estimation ability improvement in length, which is recently emphasized in measurement area of mathematics education. According to preceding studies, students' length estimation ability is considerably low. Revision curriculum tried to pursue estimation and feeling of massiveness responsive to trends in mathematics education. But, Such efforts are not reflected in textbooks and they are rather weak in the aspect of estimation and feeling of massiveness. This paper analyzes the contents related to length estimation in current textbooks critically and explores an alternatives. This paper is suggestive for textbook development to improve ability to estimate length.
Exploration of the Composite Properties of Linear Functions from Instrumental Genesis of CAS and Mathematical Knowledge Discovery
Kim, Jin-Hwan ; Cho, Cheong-Soo ;
Communications of Mathematical Education, volume 24, issue 3, 2010, Pages 611~626
The purpose of this study is to explore the composite properties of linear functions using CAS calculators. The meaning and processes in which technological tools such as CAS calculators generated to instrument are reviewed. Other theoretical topic is the design of an exploring model of observing-conjecturing-reasoning and proving using CAS on experimental mathematics. Based on these background, the researchers analyzed the properties of the family of composite functions of linear functions. From analysis, instrumental capacity of CAS such as graphing, table generation and symbolic manipulation is a meaningful tool for this exploration. The result of this study identified that CAS as a mediator of mathematical activity takes part of major role of changing new ways of teaching and learning school mathematics.
On effective way of teaching concept of tangent line using Lakatos theory and GSP
An, Byung-Kuk ; Kim, Byung-Hak ; Park, Youn-Keun ;
Communications of Mathematical Education, volume 24, issue 3, 2010, Pages 627~658
The introduce and accurate understanding of the concept of tangent line is very important in Mathematics education and its applications. In this study, we investigated the introduction method in the textbook for tangent line and its concepts. And we studied the effective teaching methods for the accurate understanding using Lakatos learning theory, GSP and related precedence studies. Finally we suggest the teaching plan for the equation of for the tangent line in the high school and apply to the High school students.
On the plane geometry using taxicab distance function
Kwak, Kyung-Min ; Baik, Seung-Min ; Choi, Woo-Seok ; Choi, Jun-Bum ; Ko, Il-Seog ; Kim, Byung-Hak ;
Communications of Mathematical Education, volume 24, issue 3, 2010, Pages 659~689
Taxicab distance function is a practical distance notion which gives us information of real world pathway distance that really taxi can go through. As one of the non-Euclidean geometry, this study of an ideal city with all roads running horizontal or vertical, was introduced by the Russian Mathematician H. Minkowski and synthetically reported by the E. F. Kraus in 1986. After that, there were many reports and papers on this topic and still being researched. At this point of view, our research about taxicab geometry provides its differences from Euclidean plane geometry, and considers about several theorems on plane geometry using the taxicab distance function.
The Analysis study of 'datum' 'in Middle School Geometry on the Basis of 'The Data' of Euclid
Suh, Bo-Euk ;
Communications of Mathematical Education, volume 24, issue 3, 2010, Pages 691~708
The purpose of this study is to analyze 'datum' of 'The Data' in the textbooks of middle school on the basis of 'The Data of Euclid' and develop datum. For this, the followings are conducted. First, the distinctive structure of datum of 'The Data' is considered. Second, some learning materials the contents of geometry in the textbooks of middle school are analyzed and the mathematical meanings are explored. Third, the applicable datum to geometry education of middle school are developed and the way of educational use is studied. The hopefully, the result of this study will make school mathematics education more plentiful and give meaningful implications to revision of mathematics education curriculum and the improvement of teaching and learning.
An Analysis On Students' Misconceptions of the Reversibility of Irrational Functions
Lee, Ki-Suk ; Lee, Du-Ho ;
Communications of Mathematical Education, volume 24, issue 3, 2010, Pages 709~730
The inverse function of a one-to-one correspondence is explained with a graph, a numerical formula or other useful expressions. The purpose of this paper is to know how low achieving students understand the learning contents needed reversible thinking about irrational functions. Low achieving students in this study took paper-pencil test and their written answers were collected. They made various mistakes in solving problems. Their error types were grouped into several classes and identified in this analysis. Most students did not connected concepts that they learned in the lower achieving students to think in reverse order in case of and to visualize concepts of functions. This paper implies that it is very important to take into account students' accommodation and reversible thinking activity.
How To Teach The Quadratic Curves Through Historical Overview
Jang, Mi-Ra ; Kang, Soon-Ja ;
Communications of Mathematical Education, volume 24, issue 3, 2010, Pages 731~744
Nowadays in school mathematics, the skill and method for solving problems are often emphasized in preference to the theoretical principles of mathematics. Students pay attention to how to make an equation mechanically before even understanding the meaning of the given problem. Furthermore they do not get to really know about the principle or theorem that were used to solve the problem, or the meaning of the answer that they have obtained. In contemporary textbooks the conic section such as circle, ellipse, parabola and hyperbola are introduced as the cross section of a cone. But they do not mention how conic section are connected with the quadratic equation or how these curves are related mutually. Students learn the quadratic equations of the conic sections introduced geometrically and are used to manipulating it algebraically through finding a focal point, vertex, and directrix of the cross section of a cone. But they are not familiar with relating these equations with the cross section of a cone. In this paper, we try to understand the quadratic curves better through the analysis of the discussion made in the process of the discovery and eventual development of the conic section and then seek for way to improve the teaching and learning methods of quadratic curves.
Investigation on mathematical instruction involving creative factor in High School
Hwang, Hye-Jeang ; Ko, Ho-Kyoung ; Han, Se-Ho ;
Communications of Mathematical Education, volume 24, issue 3, 2010, Pages 745~776
In this research, cases of classes for enhancing mathematical creativity are examined in order to explore how to improve methods of math instructions. The objective of the research is to design a creative, efficient math class of superior quality, supplementing the current educational curricula. To this end, features and elements of creative math class are classified into three categories: assignment characteristics, teacher's role, and teaching environment. Based on these, two high school teachers were selected for case study of creative instructions. By observing and analyzing their classes, the research identified main elements of creative classes and their characteristics according to the three categories. The research also explored how to revitalize creative math class by eliciting opinions of researchers and educational experts.
A Review of Ausubel's Meaningful Learning in Education of Mathematics
Park, Kyung-Eun ; Ko, Ho-Kyoung ;
Communications of Mathematical Education, volume 24, issue 3, 2010, Pages 777~792
It is to design diverse teaching methods to construct competitive knowledge-based society and to design teaching methods suitable to Korean conditions. The study reviewed Ausubel's meaningful learning especially subsumption theory as a plan to make students understand math and receive it meaningfully through explanatory class. Analyzing meaning and conditions of Ausubel's meaningful learning can make utility of significant explanatory learning in education of mathematics easier.
A Study on Analyzing and Solving Problems Related with Equation of High School Mathematics
Lyou, Ik-Seung ; Han, In-Ki ;
Communications of Mathematical Education, volume 24, issue 3, 2010, Pages 793~806
In this paper we study meaning and methods of analyzing problems related with equation of high school mathematics. By analyzing problem we can get two types of informations. Based on these informations we suggest some problem solving methods. Especially we try to extract second type information using analysis through synthesis. This second type information can help us to find new non-routine problem solving method.
The Analysis of multiple intelligences of the mathematical gifted children and their parents
Ryu, Sung-Rim ;
Communications of Mathematical Education, volume 24, issue 3, 2010, Pages 807~830
The purpose of this study is to analyze the strength and weakness of intelligences appeared by the profile of multiple intelligences of the mathematical gifted children and their parents. The subjects of this study were 73 students and 73 their parents from D-Education Center for Gifted Children. Their multiple intelligences were measured by a self-scaling test of Korean-Multiple Intelligence Development Assessment Scale, at July in 2009. The conclusions of this study are as follows: The strengths of multiple intelligences of the gifted children in mathematics are logical-mathematical intelligence, intrapersonal intelligence. And, the weakness of multiple intelligences of the gifted in elementary mathematics is bodily-kinesthetic intelligence. This result is similarly in their parents' self-scaling test of KMIDAS. Therefore, formal educational curriculum of the gifted in elementary mathematics is required which can stimulate all kinds of intelligences.
Analysis of Pre-Service Teachers' Perceptions on Utilizing History of Mathematics
Shim, Sang-Kil ;
Communications of Mathematical Education, volume 24, issue 3, 2010, Pages 831~842
In this study, in order to use history of mathematics effectively, we investigate the pre-service teachers' perceptions about utilizing history of mathematics. As a result, we must introduce history of mathematics will be able to apply concretely in class to the pre-service teachers. And We must provide the method which is various will be able to apply history of mathematics in class to the pre-service teachers enough. Also, We must provide the instance which relates in utilizing history of mathematics to pre-service teachers enough.