• Title/Summary/Keyword: Mathematics of the middle school

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A critical review on middle school mathematics curriculum revised in 2011 focused on geometry (2011 중학교 수학과 교육과정의 비판적 고찰: 기하 영역을 중심으로)

  • Park, Kyo-Sik;Kwon, Seok-Il
    • Journal of Educational Research in Mathematics
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    • v.22 no.2
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    • pp.261-275
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    • 2012
  • There are some geometry achievement standards presented indistinctly in middle school mathematics curriculum revised in 2011. In this study, indistinctness of some geometric topics presented indistinctly such as symbol $\overline{AB}{\perp}\overline{CD}$ simple construction, properties of congruent plane figures, solid of revolution, determination condition of the triangle, justification, center of similarity, position of similarity, middle point connection theorem in triangle, Pythagorean theorem, properties of inscribed angle are discussed. The following three agenda is suggested as conclusions for the development of next middle school mathematics curriculum. First is a resolving unclarity of curriculum. Second is an issuing an authoritative commentary for mathematics curriculum. Third is a developing curriculum based on the accumulation of sufficient researches.

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Development and Application of Learning Materials for Freudenthal's Mathematising Activities in the Middle School Geometry (중등기하에서 Freudenthal의 수학화 활동을 위한 학습자료 개발과 적용)

  • Choi, Jong-Chul;Kim, Hong-Chul
    • Journal of the Korean School Mathematics Society
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    • v.11 no.1
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    • pp.69-96
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    • 2008
  • The purpose of this paper is to perceive the problems of current geometry education in the middle school mathematics, to develop some learning materials fitted for the mathematising activities based on Freudenthal's learning theories and to analyze the mathematising process followed by teaching-learning activities. For this purpose, we design activity-oriented learning materials for geometry based on Freudenthal's learning theories, and appropriate teaching-learning models are established for the middle school geometry at the 8-NA stage level according to the theory of van Hiele's geometry learning steps. After applied to the practical lessons, the effects of mathematical activities are analyzed.

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The concept of the angle presented in the middle school mathematics textbooks (중학교 수학교과서에 제시된 각 개념 제시 양상)

  • Kim, Soo mi;Heo, Hae ja
    • The Mathematical Education
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    • v.61 no.2
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    • pp.305-322
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    • 2022
  • Angle has a variety of aspects, such as figure, measurement, and rotation, but is mainly introduced from a figure perspective and a quantitative perspective of the angle is also partially experienced in the elementary mathematics textbooks. The purpose of this study was to examine how the angle concept introduction and development pattern in elementary school mathematics textbooks are linked or changed in middle school mathematics textbooks, and based on this, was to get the direction of writing math textbooks and implications for guidance. To this end, 57 math textbooks for the first grade of middle school were collected from the first to the 2015 revised curriculum. As a result of the study, it was found that middle school textbooks had a greater dynamic aspect of each than elementary school textbooks, and the proportion of quantitative attributes of angle was higher in addition to qualitative and relational attributes. In other words, the concept of angle in middle school textbooks is presented in a more multifaceted and complex form than in elementary school textbooks. Finally, matters that require consensus within elementary, secondary, and secondary schools were also proposed, such as the use of visual expression or symbol, such as the use of arrows and dots, and the use of mathematical terms such as vertex of angle and side of angle.

Analysis of Middle School Students' Retention Types about Results of Evaluation in School Mathematics (중학생들의 수학과 평가 결과의 파지 유형 분석)

  • Kim, Min-Ju;Kang, Yun-Soo
    • Communications of Mathematical Education
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    • v.21 no.2 s.30
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    • pp.331-345
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    • 2007
  • This research is aimed to inquiry retention types of middle school students about results of evaluation in school mathematics, For this purpose, we selected evaluation time, problem types, evaluation score, evaluation factors as important factors which influence to students' retention types. Then we classified students' retention types about results of evaluation in school mathematics. From this results, we selected two students as participants, and collected data through depth interviews of them. In depth interviews, we focused on 'what is the core factor influenced to students' evaluation', 'how the core factors reappear in the future'. Through this process, we analyzed middle school students' retention types about results of evaluation in school mathematics.

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Assessing Korean Middle School Students' Spatial Ability: The Relationship with Mathematics, Gender, and Grade

  • Park, Sung Sun;Yoon, So Yoon
    • Research in Mathematical Education
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    • v.16 no.2
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    • pp.91-106
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    • 2012
  • Spatial ability has been valued as a talent domain and important skill in mathematics education because it enhanced an intuitive view and an understanding in many areas of mathematic. In addition, spatial ability highly correlates with mathematics achievement, indicating its crucial role in success in mathematics education. Some researchers founded gender differences in mathematics and spatial ability, and indicated that spatial ability served as a mediator of gender difference in mathematics. This study explored the spatial ability of 349 Korean middle school students (Grade 7-9), and investigated the association among students' spatial ability and their mathematics achievement, gender, and grade. The result of this study shows that spatial ability correlates positively with mathematics achievement. While gender difference did not exist in mathematics, significant gender difference existed in spatial ability favoring male students.

A comparative study of 7-ga mathematics textbook in the middle school -Focused on the 7th Curriculum of Mathematics- (중학교 수학 7-가 교과서의 비교 연구)

  • 김병호;김응환
    • Journal of the Korean School Mathematics Society
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    • v.5 no.1
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    • pp.43-51
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    • 2002
  • This study is to compared with 7-ga mathematics textbooks of 13 types in the middle school by 7-th curriculum. A synopsis of the Analysis and comparison about the contents of these textbooks is as follows. -The order of contents almost is same about the title and contents in 13 types of textbooks. -It is very important that the definition of terminology should be simple and correct. I investigated the terminology in thirteen textbooks of material at 7-th curriculum. -Most of their textbooks present the motivation of learning mathematics with resource of life such as a story of mathematics and famous mathematicians. -The chapter about numbers and operations has the biggest volume of all. -The evaluation of lessons presents at the each end of chapters with many problems as levels.

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A study on restructuring of 'Number and operations area' in middle school mathematics curriculum (중학교 수학과 교육과정 수와 연산 영역의 재구조화 연구)

  • Suh, Boeuk
    • The Mathematical Education
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    • v.59 no.2
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    • pp.167-183
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    • 2020
  • This study is an analysis study on the number and operation area of middle school mathematics curriculum. This study is a literature analysis study that analyzes the historical transition process of number and operation area, and suggests the restructuring direction of mathematics learning contents for numbers and operation areas based on the results. In order to achieve this research purpose, the contents of the number and operation areas suggested from the 1st middle school mathematics curriculum to the 2015 revised middle school mathematics curriculum were considered. In addition, in this study, analysis of the mathematical learning contents of number and operation area was conducted. The details of the study are as follows. First, it was decided as a tertiary mathematics curriculum as a criterion for analysis. Second, a basic analysis framework was developed by subdividing the content of mathematics learning into content elements and terminology elements. Third, on the basis of the developed analysis framework, mathematics learning contents that are the core issues of number and operation area were extracted. Fourth, the extracted mathematics learning contents were compared with foreign curriculum. Finally, based on the analysis results, the direction of restructuring for the number and operation area of middle school was suggested. The results of this study are expected to be the basis for the development of a new curriculum.

A Study on the Comparison of Middle School Mathematics Textbooks in Korea and Germany -Focused on the Area of Algebra- (한국과 독일의 중등학교 수학교과서 비교 연구 -중학교 대수 영역을 중심으로-)

  • 노정학;양춘우;정환옥
    • The Mathematical Education
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    • v.42 no.3
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    • pp.275-294
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    • 2003
  • In this paper we compared and analyzed the Korean and German mathematics textbooks for the middle school students. For the research we investigated only the area of algebra, which is consisted of the three sections-section of numbers and arithmetic operations, section of letters and expressions, and section of rules and functions. We expect that this paper would contribute on the development of the whole area in our nation's mathematical educations, including the organization and exploitation of the curriculums for the middle school students.

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Reflection as Professional Knowledge for Mathematics Teachers

  • Kwon, Na Young;Orrill, Chandra
    • Research in Mathematical Education
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    • v.19 no.1
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    • pp.1-17
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    • 2015
  • In this study, we examined the prompted reflections of four middle school mathematics teachers after their lessons. We used Cohen and Ball's instructional triangle (1999) to investigate teachers' reflections. With this framework, we addressed questions of what characteristics in reflections the participant teachers have and how the reflections differ over time. Findings indicated that the teachers showed differences in the instances of assessing and changes over time in the ways they gained more insights about students' understanding.

Difference in Mathematics Anxiety of Middle and high school students per Factor according to Background Variables (중.고등학생의 배경 변인에 따른 요인별 수학 불안의 차이)

  • Ko, Ho-Kyoung;Yi, Hyun-Sook
    • Journal of the Korean School Mathematics Society
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    • v.15 no.3
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    • pp.487-509
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    • 2012
  • This study, in order to contribute to improvement of the affective domain for mathematics which is one of the largest issues of mathematics education, examined the background variables influencing mathematics anxiety of middle/high school students. As the result, the middle school students showed a greater level of anxiety than the high school students did, and especially the anxiety level according to environment factor and learning strategy factor was high. Also, male students showed overall a greater mathematics anxiety than female students did, and both group of students showed a higher anxiety level according to environment factor and learning strategy factor. Besides, the greater the time spent on private education was, the higher the mathematics anxiety level, and in test/performance factor, the group with low self-initiated learning time showed a higher level of mathematics anxiety compared to other two groups. Among four subfactors of mathematics anxiety test, the students overall scored lowest in anxiety for test/performance factor, and highest in environment factor.

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