• School Mathematics
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• v.12 no.1
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• pp.45-60
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• 2010

In school mathematics, gakdo(korean, ie angular measure in english) lost effectiveness as a term, on the other hand, an expression gak-ui-kugi(korean, ie size of angle in english) is prevalent these days. So it is necessary to accept this expression. It is necessary to specify in textbook that the size of angle rely on the degree of gap between two edges regardless of the length of edges. The content of curriculum manual and the content of textbooks must be reconciled. Random units for measuring the size of angle are not contained in textbooks. It can be possible, but it is not carried out actually. So, it is necessary not to require it in curriculum manual considering this circumstance. In curriculum manual, it is necessary to specify the role of 1-right angle as a standard unit, and situations to use it must be presented in textbooks. In cut-paste method of finding the sum of the size of three angles in a triangle and the sum of the size of four angles in a quadrilateral, keeping a straight angle and one rotation in mind, an explanation is based upon a premise that students know how to express the $180{^{\circ}}$ and $360{^{\circ}}$ in figure as a result. It is a leap of logic.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.4
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• pp.501-525
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• 2015

This study analyzes arithmetic word problem of multiplication and division in the mathematics textbooks and workbooks of 3rd grade in elementary school according to 2009 revised curriculum. And we analyzes type of the problem solving ability which 4th graders prefer in the course of arithmetic word problem solving and the problem solving ability as per the type in order to seek efficient teaching methods on arithmetic word problem solving of students. First, in the mathematics textbook and workbook of 3rd grade, arithmetic word problem of multiplication and division suggested various things such as thought opening, activities, finish, and let's check. As per the semantic element, multiplication was classified into 5 types of cumulated addition of same number, rate, comparison, arrayal and combination while division was classified into 2 types of division into equal parts and division by equal part. According to result of analysis, the type of cumulated addition of same number was the most one for multiplication while 2 types of division into equal parts and division by equal part were evenly spread in division. Second, according to 1st test result of arithmetic word problem solving ability in the element of arithmetic operation meaning, 4th grade showed type of cumulated addition of same number as the highest correct answer ratio for multiplication. As for division, 4th grade showed 90% correct answer ratio in 4 questionnaires out of 5 questionnaires. And 2nd test showed arithmetic word problem solving ability in the element of arithmetic operation construction, as for multiplication and division, correct answer ratio was higher in the case that 4th grade students did not know the result than the case they did not know changed amount or initial amount. This was because the case of asking the result was suggested in the mathematics textbook and workbook and therefore, it was difficult for students to understand such questions as changed amount or initial amount which they did not see frequently. Therefore, it is required for students to experience more varied types of problems so that they can more easily recognize problems seen from a textbook and then, improve their understanding of problems and problem solving ability.

• Journal of Engineering Education Research
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• v.17 no.4
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• pp.87-94
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• 2014

The purpose of this study was to conceptualize the idea of engineering between science and technology, to classify the types of K-9 engineering education, and to develop content standards for it. The primary goal for an engineer is to design, create, and produce new tools, machines, and systems for practical means of human by exploiting technology and science. Engineering is the professional art of using technology, and the practical application of science and mathematics to achieve the optimum conversion of the resources of nature for the benefit of humankind. We reviewed the literatures and documents for background research, had surveys, and interviewed with engineers and educators to set the frame of the content standards for K-9 Engineering education and to construct standards for each sub-component. We developed and suggested the content standards for K-9 engineering education by examining and revising it.

• Journal of Korea Game Society
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• v.6 no.3
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• pp.43-50
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• 2006

This study is to develop a learning program supporting how to teach multi-level of students in number and operating field in the elementary school. Mathematics requires different teaching ways for various standards of student in the school. However, in most of elementary school teachers are having hard time giving the proper lesson for each student due to the lack of supplementary classes and the excessive numbers of students in a class. Thus this research provides "Game-type learning Program" and supports individual learning lessons to give each student an opportunity to form a correct concept of number and operation. This system sets up suitable steps for each student by checking their leaning progress and accomplishment. When a student has a trouble, can give a help or show specific things which could be related with the matter. As a result, students have got more interests in studying math, furthermore, actually, the help and giving a clue helped students a lot in settling the problems.

• Communications of Mathematical Education
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• v.38 no.2
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• pp.215-230
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• 2024

Congruences and symmetry are familiar concepts that can be encountered in everyday life. In order to effectively understand and acquire these concepts, the role of appropriate visual examples is important. This analysis examined various visual examples used in the process of learning the concepts of congruence and symmetry in elementary mathematics textbooks and focused on the use of convex polygons and concave polygons. As a result of the analysis, various types of polygons were used as visual examples for teaching and learning of congruence and symmetry in textbooks. The frequency of use of concave polygons was higher in the order of congruence, line symmetry, and point symmetry, and it was confirmed that it was used more frequently in the process of exploring properties than in the introduction of the concept. Based on these results, a plan to utilize concave polygons in teaching and learning of congruence and symmetry was sought.

• Journal of the Korean School Mathematics Society
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• v.8 no.3
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• pp.367-382
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• 2005

In this paper, we deal with various contents relating to the group concept in school mathematics and teaching of algebraic structures indirectly by combining these contents. First, we consider structure of knowledge based on Bruner, and apply these discussions to the teaching of algebraic structure in school algebra. As a result of these analysis, we can verify that the essence of algebraic structure is group concept. So we investigate the previous researches about group concept: Piaget, Freudenthal, Dubinsky. In our school, the contents relating to the group concept have been taught from elementary level indirectly. Tn elementary school, the commutative law and associative law is implicitly taught in the number contexts. And in middle school, various linear equations are taught by the properties of equality which include group concept. But these algebraic contents is not related to the high school. Though we deal with identity and inverse in the binary operations in high school mathematics, we don't relate this algebraic topics with the previous learned contents. In this paper, we discussed algebraic structure focusing to the group concept to obtain a connectivity among school algebra. In conclusion, the group concept can take role in relating these algebraic contents and teaching the algebraic structures in school algebra.

• School Mathematics
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• v.13 no.1
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• pp.127-153
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• 2011

The purpose of this study was to investigate the effect of peer tutoring on mathematical inclination and mathematical communication ability of peer tutor. For the purpose of this study, research questions were established as follows: 1. How does peer tutoring affect to the mathematical inclination of peer tutors? 2. How does peer tutoring affect to the mathematical communication ability of peer tutors? To answer the research questions, four 5th grade peer tutors were selected for qualitative case study in an elementary school located in Goyang-si, Gyeonggi-do. Before and after 11 weeks of peer tutoring in their mathematics classes, mathematical inclination, mathematical communication ability of peer tutors were examined. For qualitative analysis, peer tutors were asked to complete worksheets, self-evaluation, journal for their peer tutoring in daily basis during the experiment. By comparing the scores in mathematical inclination test and mathematical communication test before and after the treatment and analyzing the data gathered for qualitative analysis, the conclusions were drawn as follows: First, Peer tutoring has positive effects on the mathematical inclination of peer tutors. Scores for mathematical inclination of peer tutors after the treatment increased and qualitative analysis showed positive change in their attitude toward mathematics. Second, Peer tutoring has positive effects on the mathematical communication ability of peer tutors. Scores in the performance assessment for mathematical communication ability of peer tutors after the treatment increased. Also qualitative analysis showed that peer tutors tried to develop various ways to solve a problem and explained them to their peer tutee sophisticatedly.

• The Journal of the Korea Contents Association
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• v.6 no.12
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• pp.192-200
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• 2006

With the appearance of the Internet and the development of the World Wide Web, web-based education has made individual and selective learning centered on students in cyberspace available at any time and anywhere. In this paper, we design and implement courseware for a web-based 4th-year elementary school mathematics course. In order to make it as student-centered as possible, the courseware adopted learning activities using various Flash animation and design methodology to enhance students' interest to complete all parts of the course. When we gave our WBI courseware to 4th-year elementary school students to use, their achievement in the subject was greater than a group who studied with the traditional course. The results of the question investigation of the experimental group showed a positive reaction and increased educational achievements in the fields of comprehension, interest, convenience and reflection on self-directed learning.

• The Korean Journal of Elementary Counseling
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• v.4 no.1
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• pp.123-150
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• 2005

The purpose of this study was to examine the effects of self-regulated learning program on the underachiever's academic achievement and academic self-concept. To achieve the purpose of study the research hypotheses were as follows : Hypothesis 1 : There will be significant differences in the improvement of academic achievement between the experimental group and the control group. Hypothesis 2 : There will be significant differences in the improvement of academic self-concept between the experimental group and the control group. To verify these hypotheses, 32 underachievers were selected from sixth grade students of 'D' elementary school located in Seoul. 16 students were allocated to the experimental group and 16 students were allocated to the control group. The experimental group trained with self-regulated learning program for 10 times(The length of each section was 60 minutes). The self-regulated learning program in this study was based on program by Kim. Yong-Soo(1998), The measurement instruments of the study were mathematics achievement test paper and academic self-concept test. To find out the difference, Pretest-posttest control design was used. Mean and standard deviations obtained from these tests were analysed with t-test. The major findings obtained through this study are as follows : First, self-regulated learning program was effective in improvement of academic achievement (p<.05). Second, self-regulated learning Program was not effective in improvement of academic self-concept. However, the experimental group showed significant improvement(p<.01) at academic self-concept and sub academic self-concepts (ability, achievement) in the data of pre-post test. it can be suggested that this program had positive influence on underachievers. Although it has some limitations, self-regulated learning program is effective to academic achievement and academic self-concept of underachievers, even though not significant, it has a positive t.

• The Pure and Applied Mathematics
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• v.25 no.2
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• pp.95-113
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• 2018

A mathematical knot is an embedded circle in ${\mathbb{R}}^3$. A fundamental problem in knot theory is classifying knots up to its numbers of crossing points. Knots are often distinguished by using a knot invariant, a quantity which is the same for equivalent knots. Knot polynomials are one of well known knot invariants. In 2006, J. Przytycki showed the effects of a n - move (a local change in a knot diagram) on several knot polynomials. In this paper, the authors review about knot polynomials, especially Jones polynomial, and give an alternative proof to a part of the Przytychi's result for the case n = 3 on the Jones polynomial.