• School Mathematics
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• v.11 no.1
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• pp.111-129
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• 2009

This paper is about didactical transposition, which is to transpose academic knowledge into practical knowledge intended to teach. The research questions are addressed as follows. 1. Are the 13 mathematics textbooks of the 10-Na level indisputable regarding with the didactical transposition, in terms that the order of arrangement and the way of explaining the knowledge of trigonometric functions being analyzed and that its logical construction and students' understandings are considered? 2. Can some transpositions for easier use of didactical manipulative, for more practical and for more principle based be proposed? To answer these questions, this research examined previous studies of mathematics education, specifically the organization of the textbook and the trigonometric functions, and also compared orders of arranging and ways of explaining trigonometric functions from the perspective of didactical transposition of 13 versions of the 10-Na level reorganized under the 7th curriculum. The paper investigated what lacks in the present textbook and sought a teaching guideline of trigonometric functions(especially about sector and graph, period, characters of trigonometric function, and sine rule).

• Journal of Educational Research in Mathematics
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• v.19 no.3
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• pp.425-441
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• 2009

The cube-accumulation is a new theme included in the 7th elementary mathematics curriculum for improving children's spatial ability. One activity of the cube-accumulation is to recognize the configuration of accumulated cube given three plane figures in the directions of the above, the front and the side, respectively. The approach to this activity presented in the mathematics textbook is more or less intuitive and constructive, and difficult to some children. So we suggest an alternative, more analytic method, 'elimination method', that is eliminating unnecessary parts from $n{\times}n{\times}n$ whole cubes. This method was adopted to the 32 sixth graders, in special five applicants among them. Their responses and activities were analyzed. We confirm that we can teach the cube-accumulation by the elimination method, and some children prefer this method. 13u1 this method requires more exercises to be executed skillfully.

• The Mathematical Education
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• v.49 no.3
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• pp.313-328
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• 2010

Mathematical modeling has been observed in the way of a possibility to contribute in improving students' problem solving abilities. One of the important views of real life problem context could be described such as a useful ways to interpret the real life leading to children's abstraction process. The problem contexts for the grade 6 with mathematical modeling perspectives were developed by reviewing the current 7th National Mathematics Curriculum of Korea. Those include the 5 content areas such as number & operation, geometry, measurement, probability & statistics, and pattern & problem solving. One of problem contexts, "Space", specially designed for pattern & problem solving area, was applied to the grade 6 students and analyzed in detail to understand student's mathematical modeling progress.

• Education of Primary School Mathematics
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• v.6 no.1
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• pp.1-10
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• 2002

The objectives of the current study are on the practical use of geoboard in an elementary school class. To do this, we first investigate how come geoboard is significant in a practical use. Second, we present an example of practical use of geoboard connecting with the analysis of the 7th curriculum. Third, we investigate the results of geoboard which is applied to elementary school class. The results of this research are as follows: First, the instruction of using geoboard can give an interest and curiosity to all students. Second, right triangle, rectangle, square and so on can be easily constructed because geoboard is linked by dots. Third, by constructing figures on geoboard and comparing figures which is made by themselves, students could better understand the concept of figures rather than the explanation of teacher. fourth, students can be improved the ability of problem solving and spatial sense by providing experience for exploration. Fifth, students need not to have anxiety for error because geoband is used and so can be corrected easily.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.583-613
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• 2010

Mathematics anxiety is likely to be a drag on mathematics learning if that is left alone, and it is important to grasp the cause of mathematics anxiety and devise how to get rid of it. The purpose of this study was to examine the cause of mathematics anxiety among elementary school children, to develop a math-friendly activity program geared toward easing mathematics anxiety and to check the effect of the developed program on the alleviation of mathematics anxiety. The subjects in this study were 32 students in a fourth-grade class in I elementary school located in Dongdaemoon-gu, Seoul. A math-friendly activity program was designed to alleviate the mathematics anxiety of the five subfactors-test anxiety, time constraints, comprehension, learning motivation and parent attitude-on which the students scored higher than their pretest collective averages. The mathematics anxiety pretest data, the objectives and content system of the current 7th national mathematics curriculum and the mathematics textbooks for 4-A and 4-B were analyzed to develop the math-friendly activity program that consisted of psychological remedy (positive thinking training) and non-psychological remedy (mathematics activities). After the program was implemented, we analyze the pretest and posttest mathematics anxiety data to determine the effect of the program. As a result, the collective averages of every student on math anxiety and its subfactors were lower in the posttest than in the pretest.

• The Transactions of the Korean Institute of Electrical Engineers P
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• v.52 no.3
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• pp.127-136
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• 2003

A point of doing this research is to give basic data for Junior college having matriculation resources in department of electricity majoring to the graduate students from technical high school in department of electricity. We have examined the effect of the 6th and the 7th educational curriculum and courses in department of electricity on technical high school and analyzed basic subjects of technical high school and detailed major basis subject of junior college in department of electricity by educational courses and mathematics education contents. Also we have examined tried to secure advantage of major studying on the basis of result of analysis.

• The Mathematical Education
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• v.51 no.1
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• pp.1-19
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• 2012

In this study, contents of 'the 2007 revised curriculum handbook' and 16 kinds of mathematics textbooks were analyzed first. The purpose of this study is to examine the understanding state of students at general high schools by making questionnaires to survey the understanding state on contents of chapter of complex number based on above analysis. Results of research can be summarized as follows. First, the content of chapter of complex number in textbook was not logically organized. In the introduction of imaginary number unit, two kinds of marks were presented without any reason and it has led to two kinds of notation of negative square root. There was no explanation of difference between delimiter symbol and operator symbol at all. The concepts were presented as definition without logical explanations. Second, students who learned with textbook in which problems were pointed out above did not have concept of complex number for granted, and recognized it as expansion of operation of set of real numbers. It meant that they were confused of operation of complex numbers and did not form the image about number system itself of complex number. Implications from this study can be obtained as follows. First, as we came over to the 7th curriculum, the contents of chapter of complex number were too abbreviated to have the logical configuration of chapter in order to remove the burden for learning. Therefore, the quantitative expansion and logical configuration fit to the level for high school students corresponding to the formal operating stage are required for correct configuration of contents of chapter. Second, teachers realize the importance of chapter of complex number and reconstruct the contents of chapter to let students think conceptually and logically.

• Journal of the Korean Society of Earth Science Education
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• v.17 no.2
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• pp.123-136
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• 2024

This study examines the performance expectations (PEs) and clarification statements of each PE in the 2022 revised national science and mathematics education standards from a data visualization competency perspective. First, the authors intensively reviewed data visualization literature to define key competencies and developed a framework comprising four main categories: collection and pre-processing skills, technical skills, thinking skills, and interaction skills. Based on the framework, the authors extracted a total of 191 mathematics and 230 science PEs from the 2022 revised science and mathematics education standards (Ministry of Education Ordinance No. 2022-33, Volumes 8 and 9) as the main data set. The analysis process consisted of three steps: first, the authors organized the data (421 PEs) by the four categories of the framework and four grade levels (3-4th, 5-6th, 7-9th, and 10th grade); second, the numbers of PEs in each grade level were standardized by the accomplishing period (1-3 years) of each PE depending on the grade level; lastly, the data set was represented by heatmaps to visualize the relationship between the four categories of visualization competency and four grade levels, and the differences between the competency categories and grade levels were quantitatively analyzed using the Mann-Whitney U test and independent sample Kruskal-Wallis tests. The analysis results revealed that in mathematics, there was no significant difference between the number of PEs by grade. However, on average, the number of PEs categorized in 'thinking skills' was significantly lower than those in the technical skills (p = .002) and interaction skills categories (p = .001). In science, it was observed that as grade level increased, PEs also increased (pairwise comparison: Grades 5-6 vs. 7-9, p = .001; Grades 5-6 vs. Grade 10, p = .029; Grades 3-4 vs. 7-9, p = .022). Particularly, the frequency of PEs in 'thinking skills' was significantly lower than in the other skills (pairwise comparison: technical skills p = .024; collection and pre-processing skills p = .012; interaction skills p = .010). Based on the results, two implications for revising national science and mathematics standards and teacher education were suggested.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.1
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• pp.145-166
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• 2012

The objective of this study is to analyze the cases related to the lingual and non-lingual metaphors used in the math class at elementary school and consider the values of metaphors as a teaching method for the subject of mathematics. Throughout this study, teachers' gestures are analyzed as lingual and non-lingual metaphors shown between teachers and students in the class for the topic of the inverse proportion in quartic equations for direct and inverse proportions in Chapter 7 for the first semester of the 6th grade at elementary school in terms of the amended curriculum for the year of 2007. According to the results of the analysis, it can be concluded that there are mechanical and hypothetical movement metaphors in the mathematical metaphors observed in this study. Also, in terms of gestures, iconic, metaphoric and deixis gestures are found. Such metaphors seem to be evenly distributed throughout the math class and expressed in various forms. Based on the results of the analysis, the educational meaning given by the utilization of metaphors is considered for the math class.

• Journal of Educational Research in Mathematics
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• v.13 no.3
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• pp.247-265
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• 2003

The purpose of this study is to analyze the essence of ratio concept from educational viewpoint. For this purpose, it was tried to examine contents and organizations of the recent teaching of ratio concept in elementary school text of Korea from ‘Syllabus Period’ to ‘the 7th Curriculum Period’ In these text most ratio problems were numerically and algorithmically approached. So the Wiskobas programme was introduced, in which the focal point was not on mathematics as a closed system but on the activity, on the process of mathematization and the subject ‘ratio’ was assigned an important place. There are some educational implications of this study which needs to be mentioned. First, the programme for developing proportional reasoning should be introduced early Many students have a substantial amount of prior knowledge of proportional reasoning. Second, conventional symbol and algorithmic method should be introduced after students have had the opportunity to go through many experiences in intuitive and conceptual way. Third, context problems and real-life situations should be required both to constitute and to apply ratio concept. While working on contort problems the students can develop proportional reasoning and understanding. Fourth, In order to assist student's learning process of ratio concept, visual models have to recommend to use.