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

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A Study on Mathematical Creativity of Middle School Mathematical Gifted Students (중등수학영재의 수학적 창의성에 대한 고찰)

  • Kim, Dong Hwa;Kim, Young A;Kang, Joo Young
    • East Asian mathematical journal
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    • v.34 no.4
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    • pp.429-449
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    • 2018
  • The purpose of this study is to investigate how the mathematical creativity of middle school mathematical gifted students is represented through the process of problem posing activities. For this goal, they were asked to pose real-world problems similar to the tasks which had been solved together in advance. This study demonstrated that just 2 of 15 pupils showed mathematical giftedness as well as mathematical creativity. And selecting mathematically creative and gifted pupils through creative problem-solving test consisting of problem solving tasks should be conducted very carefully to prevent missing excellent candidates. A couple of pupils who have been exerting their efforts in getting private tutoring seemed not overcoming algorithmic fixation and showed negative attitude in finding new problems and divergent approaches or solutions, though they showed excellence in solving typical mathematics problems. Thus, we conclude that it is necessary to incorporate problem posing tasks as well as multiple solution tasks into both screening process of gifted pupils and mathematics gifted classes for effective assessing and fostering mathematical creativity.

A Study on the Teaching-Learning Materials about Approximation in Math History for the Middle School Education (중학교의 근사값 지도를 위한 교수-학습 자료 연구)

  • 조성범
    • Journal of the Korean School Mathematics Society
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    • v.1 no.1
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    • pp.185-196
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    • 1998
  • This study is undertaken to clarify the evolution of the mathematics regarding the $\pi$ ratio, square root, trigonometric ration which are dealing by approximate value according to the curriculum of Korean Middle School and its subsequent growth of methods for attaining the approximate value. Furthermore a brief survey has been thought for assessing the significance of the core of approximate value and its utility which will be given a guide line to many young learners. I'd better teach these historical background to the students and it makes clear the approximate value and the content about the approximate value. This research should help to improve the student's ability of solving a problem by making them think it mathematically through the life and the effort of the mathematician.

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Exploration of Foreign Curriculums for the Improvement of the Korean Middle School Statistical Curriculum: Focusing on learning elements in Korea, the United States, Singapore, and Japan (중학교 통계영역의 교육과정 개선을 위한 외국 교육과정의 탐색: 한국, 미국, 싱가포르, 일본의 학습 요소 중심으로)

  • Kim, Somin
    • Journal of the Korean School Mathematics Society
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    • v.22 no.4
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    • pp.501-520
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    • 2019
  • This study compared and analyzed Korean, American, Singaporean, and Japanese middle school mathematics curriculum standards and the learning contents in statistics. Through a comparative analysis of the curriculums of these four countries, I found several overall features and differences between the curriculums. First, all four countries emphasized statistical education in a real-life context. Second, all four countries emphasized the use of technological tools. Third, there is a middle school grade in which only Korea does not deal with statistical domains. Fourth, the statistical areas of the United States, Singapore, and Japan focused on identifying trends or variability in data distribution. Fifth, I have found some contents that only Korea does not deal with. Based on this, the following recommendations were developed for the development of the next curriculum and new textbooks in Korea. First, the statistics curriculum should be changed from one that focuses on understanding statistical concepts to one that focuses on statistical activity that utilizes these concepts. Second, in terms of middle school statistical curriculum contents, the addition of interquartile range (IQR) and box plots as learning contents should be considered. IQR and box plots are simple and practical techniques for the comparison of multiple sets of data that can be easily learned and drawn by middle school level students and applied to real-life-related statistical data to expand statistical literacy. Through this study, it is suggested that IQR and box plots need to be included in the statistical curriculum of middle schools in Korea.

The effect of the Self-Regulated Learning Ability on the Process of Selecting Assisted-Learning in the Middle School Mathematics Education (자기조절학습능력이 중학교 수학교육에서 보조학습 선택 과정과 결과에 미치는 영향 분석)

  • Hur, Jae Eun;Kim, Hong Chan
    • Journal of the Korean School Mathematics Society
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    • v.17 no.1
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    • pp.1-21
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    • 2014
  • This research aims to analyze the process of selecting, maintaining, and changing the method of learning mathematics by middle school students from the perspective of self-regulated learning ability, in order to help students to select a rational method of studying. For this purpose, we defined 'assisted-learning' as all kinds of education that education demanders receive to supplement their regular school studies. As results of the research, it was found as follows. First, the students with high self-regulated learning ability selected, maintained, and changed their assisted-learning based on their concrete decision and rational reasons regarding the effect of their learning process and assisted-learning to themselves. Second, the students with high self-regulated learning ability had tendency to be very active participation in class than the students with low ability. Third, the students with high self-regulated learning ability felt the effect of assisted-learning on their learning mathematics, and felt the enhancement of their interest and confidence. Also, it is notable that the students selected 'their own willingness to study' as a major factor for the success of assisted-learning.

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Effects of Content Reviews using Mathematical Games on Students' Mathematical Disposition (수학 게임을 활용한 복습 활동이 학생의 수학적 성향에 미치는 영향)

  • Jang, Myeong Seok;Noh, Jihwa
    • East Asian mathematical journal
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    • v.38 no.4
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    • pp.517-532
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    • 2022
  • This study looked at how content reviews with mathematical games in class would influence the mathematical disposition of middle school students. In doing so, three games adapted from prior research were used as a supplementary instruction after school hours over three months. The mathematical topics of the games involved concepts of probability and trigonometry at the middle school level. The results of the pre- and post-survey on mathematical disposition indicate that incorporating mathematical games appeared to have some positive impacts on whether students might be more eager to learn mathematics and actually put more effort in learning materials.

The Middle Grade Teachers' Beliefs about Teaching Problem Solving (문제 해결 교수에 대한 중학교 수학 교사들의 신념)

  • Lee, Kwang-Ho
    • 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.

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Development of Material for Middle School Geometry using Storytelling (스토리텔링을 활용한 중학교 기하영역 자료 개발 연구)

  • Lee, Jae Hak;Chung, Sang Kwon;Kim, Sun Hee;Choi, Min Sik;Won, Yu Mi;Kim, Young Jin;Ko, Ho Kyoung
    • Communications of Mathematical Education
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    • v.27 no.3
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    • pp.341-356
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    • 2013
  • This research is about storytelling in middle school geometry. This study is basic research about actualizing mathematical teaching and learning based on storytelling that is raised for reforming school mathematics education. In order to develop the mathematics textbook model, development of procedures and methods were extracted from the literature. And mathematics textbook model were developed in accordance with the process and methods. Examples are presented in terms of the development of material with 'story as a communication tool', 'familiar story as a script' 'universality of the world or simulation of life as a story', 'story as a means to foster creativity: story making'. Through the results of this study, we are also able to check the possibility of storytelling in mathematics class. And this study will be the foundation for teaching and learning using storytelling.

A Study of the Extension of the Ability of Mathematics through Cooperation of Group work at the Middle School. (중학교에서의 조별 협력학습을 통한 수학과 학력신장에 관한 연구)

  • 이영호;김응환
    • Journal of the Korean School Mathematics Society
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    • v.3 no.1
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    • pp.177-188
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    • 2000
  • Mathematics is extreme the differences of the scholarly attainments in comparison with other subjects at a middle school. Specially, the students at islands and places leave much to be desired the scholarly attainments standards of mathematics. Therefore, every school takes movement class according to level these days. And the small schools put in effect the cooperation of group work through the small groups. These classes are effective at the scholarly attainments extension to some degree, but each student is extreme the differences of scholarly attainments. On this, the small school was the subject of study at the present research and put in effect the cooperation of group work through the small groups. The students were divided in three groups; the top class, average, the low class, And they were offered the fitting textbooks matching the cooperation of group work and the opportunities of discovery learning fitting an individual ability and standard. Consequently, some educational materials were made, for example, question papers, commonness learning materials, choice learning materials. These materials were put in effect to the students to be able to succeed discovery learning. With this, the students were investigated an interest of mathematics and the influence giving at the studies attainment. And the students were put in effect the cooperation of group work through the small groups to improve uniformity and sturdiness of the mathematical education. The conclusion at the present research is as follows. 1) When the students put in effect the cooperation of group work through the small groups, the scholarly attainments of mathematics totally didn't display useful changes as improvement. However, the students of average and the low class gradually seemed to improve the scholarly attainments of mathematics as the help of the top class positively. 2) An individual and cooperation learning in the method of the cooperation of group work through the small groups displayed many changes at the learning attitude of the students by means of discovery learning thanks to the learning heads. 3) When the investigator put in effect the cooperation of group work through rather the small groups than the large groups, the numbers of the students experiencing interest about mathematics increased in 26% and this learning method should continue to progress.

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The Study on Extension of Regular Polygon Using Cabri Geometry II (기하프로그램을 활용한 정다각형 외연의 확장에 대한 연구)

  • Suh, Bo-Euk
    • Journal of the Korean School Mathematics Society
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    • v.15 no.1
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    • pp.183-197
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    • 2012
  • Geometry having long history of mathematics have important role for thinking power and creativity progress in middle school. The regular polygon included in plane geometry was mainly taught convex regular polygon in elementary school and middle school. In this study, we investigated the denotation's extension of regular polygon by mathematical basic knowledge included in school curriculum. For this research, first, school mathematical knowledge about regular polygon was analyzed. And then, basic direction of research was established for inquiry. Second, based on this analysis inductive inquiry activity was performed with research using geometry software(Cabri Geometry II). Through this study the development of enriched learning material and showing the direction of geometry research is expected.

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Elementary and Secondary School Teachers' Perspectives of Effective Mathematics Teaching

  • PANG, JeongSuk;KWON, Mi Sun
    • Research in Mathematical Education
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    • v.19 no.2
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    • pp.141-153
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    • 2015
  • This paper compares and contrasts the perspectives of effective mathematics teaching by 135 elementary school teachers, 132 middle school teachers, and 124 high school teachers using a questionnaire in South Korea. All groups of teachers chose in common the teaching and learning strand as the most important for effective mathematics instruction. However, elementary school teachers placed greater importance on the curriculum and content strand than their counterparts did. Elementary school teachers tended to agree more upon the 48 items related to good mathematics teaching than their counterparts did. The similarities and differences among the groups of teachers are expected to provoke discussion of what constitutes high-quality mathematics instruction and how such perspectives may be situated in the socio-cultural context.