• School Mathematics
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• v.15 no.4
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• pp.921-940
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• 2013

This study is to analyze mathematically gifted middle school students' characteristics of mathematical thinking and the teacher's role in teaching and learning about the central projection and perspective drawing. And it will help to develop teaching and learning materials for the mathematically gifted. The result of this study is as followings : mathematically gifted middle school students show the various characteristics of mathematical thinking like as intuitive insight, generalization, logical thinking & mathematical abstraction and so on, and the teacher plays roles as instructional designer, facilitator, technical assistant and counselor.

• Communications of Mathematical Education
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• v.33 no.2
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• pp.123-139
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• 2019

This study analyzed how problem-posing tasks included in Korean middle school mathematics textbooks were distributed in terms of content area, task type, and context of task to investigate that the mathematics textbooks are giving students ample opportunities for problem-posing activities. The analysis of 10 mathematics textbooks for first grade in middle school according to the revised mathematics curriculum in 2015 found that the problem-posing tasks contained in the textbooks are insufficient in quantity and not evenly distributed in terms of content areas. There were also more problem-posing tasks with relatively moderate constraints than those with strong or weak constraints in terms of mathematical constraints. In addition, there were more problem-posing tasks that were not requiring students to make a new context, and more often camouflage contexts were used. Based on this, implications for improving mathematics problem-posing tasks in mathematics textbook were suggested.

• Communications of Mathematical Education
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• v.8
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• pp.231-245
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• 1999

본 연구는 중학교 1학년 함수 학습을 위해 패턴 활동으로 구성된 함수 지도 프로그램을 개발하고, 개발한 프로그램을 적용한 실험 집단(85명)과 교과서를 적용한 비교 집단(85명)간의 함수 학습에서의 효과를 분석하였다. 함수 지도 프로그램은 학생들이 패턴 활동을 동해 함수적 사고를 기르며, 활동적으로 수업에 참여하여 수학에 대한 자신감과 실생활의 연계성을 가질 수 있도록 구성하였으며, 적용 결과, 수학 수준별 수업을 하는 상반에서는 유의미한 차이를 보였고, 중반에서는 유의미한 차이는 없었으나 수업 시간에 흥미가 매우 높았다는 긍정적 평가를 할 수 있다.

• Journal of Educational Research in Mathematics
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• v.17 no.3
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• pp.295-308
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• 2007

The purpose of this paper was to investigate the pedagogical content knowledge of a middle school mathematics teacher manifested in his mathematics instruction by identifying the components of the pedagogical content knowledge of the teacher. For the purpose of the study, I conducted an interpretive case study by collecting qualitative data. The results showed that the pedagogical content knowledge of the teacher was characterized by: (a) knowledge of mathematics including connection among topics and various ways of solving problems; (b) knowledge of students' understanding involving students' misconceptions, common errors, difficulties, and confusions; and (c) knowledge of pedagogy consisting of his efforts to motivate his students by providing realistic applications of mathematical topics and his use of materials.

• Communications of Mathematical Education
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• v.23 no.3
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• pp.523-543
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• 2009

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.

• Communications of Mathematical Education
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• v.18 no.1 s.18
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• pp.191-199
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• 2004

본 연구에서는, 6년 전에 개발된 수학 창의적 문제 해결력 검사(MCPSAT; 한국교육개발원(김흥원 외, 1997))에 대한 현시점의 적합성여부를 알아보기 위하여 이 검사의 중학교 1-3학년용 A형 1부 검사와 고등학교 1-2학년용 A형 1부 검사를 해당 학년 학생들에게 적용하여 분석하였다. 검사도구의 양호도는 비교적 좋은 것으로 나타났다. 즉, 중학교와 고등학교 모두 문항 내적 일관성 신뢰도(Cronbach ${\alpha}$)의 계수가 약간 떨어져 있지만 비교적 양호한 것으로 볼 수 있으며 변별도는 점이연 상관 계수가 0에 가까운 문항이 없는 것으로 나타났다. 따라서 모든 문항이 학생들의 수학 창의적 문제 해결력을 변별해 줄 수 있을 것으로 생각한다. 내적 타당도는 중학교의 경우 관대하게 본다면 수용할 만 하고, 고등학교의 경우 아직은 우려할 수준은 아니다. 즉, 중학교 문항 1과 문항 4는 적합도 지수 1.2를 상회하였으나 Infit과 Outfit 모두 1.5를 넘는 문항은 없었다. 고등학교의 문항 4는 문항의 적합도 지수 1.2를 상회하는 것으로 나타나고 있으나 Infit과 Outfit 모두 1.2를 상회하지 않았다. 난이도 측면에서 볼 때, 이 검사의 계속 사용은 염려스러운 면이 있다. 즉, 중학교에서는 6년 전 보다 쉬운 것으로 나타나고 있는 바 이것은 현재의 학생들이 이러한 유형의 문항을 많이 접하였을 것으로 추측할 수 있다. 고등학교에서는 6년 전 보다 조금 더 어려워 졌다고 볼 수 있다. 위의 사항을 종합할 때, 수학 창의적 문제 해결력 검사에서 중학생용은 현재의 학생들의 수준을 고려하여 재 표준화하는 것이 바람직하고, 고등학생용은 개발 당시의 신뢰도, 난이도, 변별도 등에서 유사하므로 당분간 계속 사용하여도 될 것이다.

• Journal of the Korean School Mathematics Society
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• v.10 no.3
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• pp.385-400
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• 2007

This study pilot tested a researcher-designed instrument based on National Council of Teachers of Mathematics' problem solving standard and middle school teachers' beliefs about teaching problem solving. One hundred twenty four teachers' responses were analyzed. The instrument was validated and found to be reliable. The study found that females and males have significantly different beliefs about teaching problem solving. Age of the teacher did not appear to affect the teaching of problem solving.

• School Mathematics
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• v.19 no.2
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• pp.289-317
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• 2017

This study aims to explore how Korean middle-school mathematics textbooks on functions provide students an opportunity-to-learn [OTL]. For this purpose, we investigate 3 textbooks in terms of mathematics content and practice, the level of cognitive demands of mathematical tasks, types of student responses, types of context-based tasks, and connections among the tasks. The findings from the data analysis suggest as follows: a) an opportunity-to-learn to connect procedures to functional concepts and new ideas of functions to the existing one is very limited; b) the textbooks seem to provide students an OTL to understand functions as definitions, rules and conventions and to experience repeatedly procedural executions through worked examples and mathematics tasks; c) students may not experience to explain their own ideas/thinking by using mathematical sentence or justify their own cognitive processes; and d) students can be exposed to get a sense of mathematics as a set of fragmented and isolated facts or procedures, rather than to encourage to expand and deepen their understanding of functions.

• School Mathematics
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• v.17 no.1
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• pp.135-156
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• 2015

There is a difference in quality between transition from elementary school to junior high school and the simple change of grades. This time is also a critical time that many students would be to abandon the mathematics. According to experience in conjunction with mathematics, this timing can be either bright or dark outlook with relation to mathematical development. Thus, at this turning point, it is necessary to analyze what changes the students are experiencing in teaching and learning mathematics, what such changes effect the students, whether or not there is room for improving such changes etc. Therefore, in this study, by comparing and analyzing math lessons of 6th grade in elementary school and 1st grade in junior high school, we investigate the difficulties of teaching and learning mathematics experienced by students who have been placed in the turning point and suggest implications to help them to land softly into junior high school.

• The Mathematical Education
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• v.34 no.1
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• pp.83-96
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• 1995