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

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Interpretation and application of information processing competency as mathematical competency: A case of middle school mathematics textbooks under the 2015 revised curriculum (수학과 교과역량으로서의 정보처리 능력의 해석과 적용: 2015 개정 중학교 수학 교과서를 중심으로)

  • Kim, Eun Hyun;Kim, Rae Young
    • The Mathematical Education
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    • v.59 no.4
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    • pp.389-403
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    • 2020
  • This study aims to examine how information processing competency as one of the mathematical competencies has been interpreted and applied in mathematics education by analyzing tasks in middle school mathematics textbooks under the 2015 revised national curriculum. Based on the sub-elements of information processing competency organized by Park et al.(2015), we analyzed 191 tasks in 30 different middle school mathematics textbooks using descriptive statistics and ANOVA. Also, we investigated the meaning of information processing competency embedded in the tasks by distinguishing the characteristics of several different types of tasks. The results from this study showed that the number of tasks related to information processing competency in mathematics textbooks was too small and there was a huge difference across the textbooks in terms of the sub-elements. Even though there were four sub-elements of information processing competency, 'the use of manipulative and technological tools' was extremely dominant in the tasks in general. Even many of them used technology and manipulatives superficially. Furthermore, any textbook did not provide tasks dealing with all the four sub-elements. Such an unbalanced and fragmented approach to information processing competency could produce biased knowledge and insufficient experiences for information processing competency. It calls for further investigation and discussion about how to improve information processing competency in school mathematics.

A Study on the relation between Mathematical Scholastic Ability and Scholastic Aptitude Test (수학 기초학력과 대학수학능력시험 수리영역 성적의 관계 연구)

  • Lee, Jung-Rye;Lee, Gyeoung-Hee
    • Communications of Mathematical Education
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    • v.25 no.4
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    • pp.629-639
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    • 2011
  • Currently science and technology are changing so fast and college mathematics becomes more and more important. But the downturn of freshmen's scholastic performance has been intensified and this phenomenon leads to serious problems in managing college curriculums. During the recent years at a middle level engineering college, many freshmen had a lot of difficulties in their mathematics courses. In consequence, many of them had hard time to survive at their major curriculums. In this point of view, we analyse the situation of mathematical scholastic ability among engineering majored freshmen through the research on the actual state of mathematical background, mathematical scholastic ability test, college mathematics scores, and scholastic aptitude test scores. We study the relation between the mathematics score of scholastic aptitude test for the college entrance and mathematical scholastic ability of freshmen of a middle level engineering college. From this study we conclude that the essential reasons for the above situations are the curriculum of middle school mathematics and the system of scholastic aptitude test and the entrance examination of university. In order for improving mathematical accomplishment. we give suggestions such as a learning ability improvement program in mathematics.

A Study on the Comparision of Middle School Mathematics Textbooks in Korea and Germany - Focused on the Area of Geometry - (한국과 독일의 중등학교 수학교과서 비교 연구 II - 중학교 기하 영역을 중심으로 -)

  • Jung, Hwan-Ok;Lau, Jeung-Hark
    • The Mathematical Education
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    • v.44 no.1 s.108
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    • pp.1-14
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    • 2005
  • This study analyzed the differences in the contents as well as in the methods of development and presentation of learning contents in Korean and German mathematics textbooks for middle school students. For the research we investigated only the area of geometry, and in particular this study performed in-depth analysis concerning 4 subjects; namely congruences of triangles, special points in a triangle, similarity of figures and the theorem of Pythagoras.

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Exploration and Practice in Training Research Mathematics Teachers in the Middle Schools Located in the Countryside of Western China

  • Ding, Fengchao
    • Research in Mathematical Education
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    • v.11 no.4
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    • pp.265-274
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    • 2007
  • The middle school mathematics teachers of the countryside in western China have little chance to further their education and strengthen their research abilities. In this program, we should offer them chance to learn new educational ideas and teaching methods. There will be demonstration lectures and video teaching of course standards followed by group discussion and personalized instructions. These activities prepare the teachers to give their own demonstration lectures. This again is followed by additional personalized instructions. The teachers come to the program with very limited knowledge of these techniques but will leave with the ability to write educational scientific research papers.

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Longitudinal Study on the Relationship and Effects of Internal and External Factors on Mathematics Academic Achievement -For Middle and High School Students- (수학 학업성취도에 대한 내·외적요인의 관계 및 영향에 대한 종단연구 -중·고등학생을 대상으로-)

  • Kim, Yongseok;Han, Sunyoung
    • Communications of Mathematical Education
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    • v.34 no.3
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    • pp.325-354
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    • 2020
  • This study utilized longitudinal data from the 2013 year (Secondary Middle School) to 2017 year (Secondary High School) of the Seoul Education Termination Study. Using the latent growth model and the piecewise growth model, we investigated the changes in mathematics academic achievement, internal factors(self-concept, self-control, self-assessment of life satisfaction), and external factors(school climate, guardians) as students' grades increased, and examined whether internal factors and external factors influence the changes in mathematics academic achievement. We examined whether internal and external factors influence the change in academic achievement. As a result of analysis, it was found that mathematics academic achievement remained unchanged from the first grade of middle school to the second grade of middle school, and steadily increased from the second grade of middle school to the first grade of high school, and then decreased slightly in the second grade of high school. The internal and external factors had little change. It has been found that self-concept, self-control as internal factors, and school climate as external factors influence changes in mathematics academic achievement.

A Study on the Characteristic of Responses to Multiple Solution Problems of Middle School Students Gifted in Mathematics (중학교 수학 영재아들의 다답형 문항 반응 특성에 관한 연구)

  • 권오남;방승진;송상헌
    • The Mathematical Education
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    • v.38 no.1
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    • pp.37-48
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    • 1999
  • The purpose of this study is to examine the mathematical creativity problem-solving ability of middle school students gifted in mathematics. For this research, we examined and analyzed the responses to two multiple solution problems of the gifted students with classifying the four categories; fluency, flexibility, originality, and elaboration which are the factors of the creativity, and comparing with responses of usual students.

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A Comparative Study of South Korea and Turkey: Attitudes, Beliefs, and Creative Student Oriented Teaching Practices of Middle School Mathematics Teachers

  • Corlu, M. Sencer;Erdogan, Niyazi;Sahin, Alpaslan
    • Research in Mathematical Education
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    • v.15 no.3
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    • pp.295-310
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    • 2011
  • Teachers' attitudes and beliefs are related to teaching practices and are dependent upon their teaching domain. The present study compares conceptual models of creative student oriented teaching practices of mathematics teachers in two OECD countries, South Korea and Turkey to provide an insight for teacher educators and policy makers. Teaching and Learning International Survey 2008 (TALIS 2008) data are used to test the fit of a path analysis model with a subsample of l337 middle school mathematics teachers ($N_{Korea}$ = 562 vs. $N_{Turkey}$ = 775). The study showed that Turkish teachers were younger and less experienced, whereas Korean teachers were better educated. Despite the statistical differences in attitudes, beliefs and practices between countries, it was found that the teaching practices of mathematics teachers in both countries were more complex than to be explained only through attitudes and beliefs.

Analyzing the Status of Students' Learning on Mathematics Related Contents of Animal Resources Curriculum in Agricultural High School (농업계 특성화고 동물자원과 전공 교과목에 제시된 수학 관련 내용 및 이에 대한 학생들의 학습 실태 분석)

  • Cho, Eun Ah;Do, Jonghoon;Park, Yun Beom
    • Journal of the Korean School Mathematics Society
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    • v.20 no.2
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    • pp.77-89
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    • 2017
  • Although it is not necessary to have much mathematical knowledge in Major Courses of Animal Resources curriculums in agricultural high school, the function of mathematics class has a much effect on Major Courses. Therefore, we extracted the mathematics contents included in Major Courses of Animal Resources curriculums in agricultural high school, and also evaluated students' understanding according to the description method in textbooks of Major Courses. Furthermore, we analyzed students' preference about the description method in textbooks related to the Major Courses. As a result, it turns out that the level of mathematics contents of Animal Resources major curriculums does not break bounds of middle school level. Furthermore, many students are not able to solve the middle school level of problems. It is also shown that the most preferred description method in textbooks of Animal Resources major curriculums is the sentence-equation mixed type. In this study, we propose to reconstruct the mathematics contents with basic knowledge needed to complete the Major Courses in order that students can complete them more easily, and furthermore, to choose the description method in textbooks of Major Courses as sentence-equation mixed type and detailed explanation about terms should be included into the bargain.

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Gifted Middle School Students' Covariational Reasoning Emerging through the Process of Algebra Word Problem Solving (대수 문장제의 해결에서 드러나는 중등 영재 학생간의 공변 추론 수준 비교 및 분석)

  • Ma, Minyoung;Shin, Jaehong
    • School Mathematics
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    • v.18 no.1
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    • pp.43-59
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    • 2016
  • The purpose of this qualitative case study is to investigate differences among two gifted middle school students emerging through the process of algebra word problem solving from the covariational perspective. We collected the data from four middle school students participating in the mentorship program for gifted students of mathematics and found out differences between Junghee and Donghee in solving problems involving varying rates of change. This study focuses on their actions to solve and to generalize the problems situations involving constant and varying rates of change. The results indicate that their covariational reasoning played a significant role in their algebra word problem solving.