• Title/Summary/Keyword: Mathematics Contents in Middle School

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The analytic study and trends in mathematics achievement scores of the NAEA and mathematics item scores of the CSAT in 5 metroplitan cities (광역지방자치단체 내에서 성취도평가 수학성적과 수능 수리영역 성적의 변화 추이 및 경향)

  • Suh, Bo-Euk;Oh, Kwang-Sik;Kim, Hye-Kyung
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.2
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    • pp.297-311
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    • 2011
  • This study is about research into 'National Assessment of Educational Achievement (NAEA)' and 'College Scholastic Ability Test (CSAT)' in 5 metropolitan cities and analysis of the result. The objects of study are the materials of mathematics grade of NAEA from 2003 to 2009 and mathematics items of CSAT from 1994 to 2010. The contents of the study are followings. First, the trends of mathematics score of NAEA in elementary, middle and high school is analyzed according to gender, establishment type and the type of school. Second, the trends of CSAT is analyzed according to gender and line (cultural science line or natural science line). Also the trends of application number for cultural science line and natural science line. Third, the trends of the achievement test score of 6th grade in elementary school, third grade in middle school, first grade in high school and the CSAT score in third grade in high school for the same group is considered.

A Critical Analysis of the Introduction of Similarity in Korean Mathematics Textbooks (우리나라 수학 교과서의 닮음 도입 및 정의에 관한 비판적 논의)

  • Yim, Jae-Hoon;Park, Kyo-Sik
    • Journal of Educational Research in Mathematics
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    • v.19 no.3
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    • pp.393-407
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    • 2009
  • In this article the definition of similarity and its introduction in Korean middle school textbooks based on the 7th national curriculum are analysed critically. As a result four suggestions are presented. First, on the consideration that the contents related with similarity has been removed in the elementary school curriculum, the meaning of 'constant rate' needs to be understood through the rich experience of drawing enlarged/reduced figures when similarity is introduced in middle school, Second, there are two different ways in enlargement/reduction of figures and in the definition of similarity. Teachers have to keep the limitations of the two ways in mind. Third, the activity of drawing similar figures in enlarged/reduced squared paper needs to be practiced. Last, on 'the relation of similarity' which is in the definition of similarity, it has to be examined whether 'similarity' should be presented in the documents of the national curriculum as a term.

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A Study on Reorganization of 'Pythagorean Theorem' in School Mathematics (학교수학에서 '피타고라스 정리' 관련 내용의 재구조화 연구)

  • Suh, Bo Euk
    • The Mathematical Education
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    • v.57 no.2
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    • pp.93-110
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    • 2018
  • One of the biggest changes in the 2015 revised mathematics curriculum is shifting to the second year of middle school in Pythagorean theorem. In this study, the following subjects were studied. First, Pythagoras theorem analyzed the expected problems caused by the shift to the second year middle school. Secondly, we have researched the reconstruction method to solve these problems. The results of this study are as follows. First, there are many different ways to deal with Pythagorean theorem in many countries around the world. In most countries, it was dealt with in 7th grade, but Japan was dealing with 9th grade, and the United States was dealing with 7th, 8th and 9th grade. Second, we derived meaningful implications for the curriculum of Korea from various cases of various countries. The first implication is that the Pythagorean theorem is a content element that can be learned anywhere in the 7th, 8th, and 9th grade. Second, there is one prerequisite before learning Pythagorean theorem, which is learning about the square root. Third, the square roots must be learned before learning Pythagorean theorem. Optimal positions are to be placed in the eighth grade 'rational and cyclic minority' unit. Third, Pythagorean theorem itself is important, but its use is more important. The achievement criteria for the use of Pythagorean theorem should not be erased. In the 9th grade 'Numbers and Calculations' unit, after learning arithmetic calculations including square roots, we propose to reconstruct the square root and the utilization subfields of Pythagorean theorem.

Research on Teachers' Recognition about the Introduction of Mathematics Workbook and the Suggestion of Its Organization (수학 워크북 도입에 대한 교사들의 인식 조사 및 구성 방안 제안)

  • Kim, Bu-Mi
    • Journal of Educational Research in Mathematics
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    • v.17 no.3
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    • pp.271-293
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    • 2007
  • Mathematics workbook is developed according to the amendment of the 7th national curriculum of mathematics. This study polled 300 national mathematics teachers in the elementary school, middle school, and high school to find out what they think in conjunction with the introduction of mathematics workbook such as needs for mathematics workbook, teachers' recognition about the system of mathematics textbook and workbook which are proper for lesson of achievement level and organization of mathematics workbook before using the mathematics workbook in school. As a results, mathematics teachers want the introduction of workbook because it helps students' self-regulated learning of mathematics and it is material very valuable for teachers to give lessons of achievement level. Also, we suggest the organization and contents of mathematics workbook on the base of our survey. Mathematics workbook has a lot of exercises assessing into the upper, intermediate, lower level in the contents, concepts of mathematics learning. It has the items developed with various problem solving methods and emphasis on performance tests, an essay-type examination and a periodical assessment. It has the problem posing items and the corner that helps students revise their mathematical errors and proposes useful, interesting mathematical activities and the commentary of a correct answer to questions at the tail of the book.

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A Study on Development of WBI Program and Application for Learning Probability and Statistics in the Middle School (웹 기반의 중학교 확률과 통계를 중심으로 한 WBI 프로그램 개발 및 적용에 관한 연구)

  • 강청귀
    • Journal of the Korean School Mathematics Society
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    • v.4 no.2
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    • pp.49-60
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    • 2001
  • This paper is dedicated to the enhancement of the second-grade students of middle school students' understanding of the basic principles and concepts of probability with the help of Web-browser-used WBI programs relating to probability and statistics in teaching them the unit of probability. I have come up with the following research problems with a view to applying and analyzing the findings. (1) A web sites in relation to the learning of probability and statistics is to be developed with the second graders of middle school in mind. (2) Is there any difference between the experiment group exposed to web-sites-aided classes and the control group going through the conventional ways of math classes when the sites is made trial use of \ulcorner (3) What response do the learners show in regard to classes which makes use of the web sites when the sites is applied\ulcorner After making an experiment with the aid of the web sites and teaching plans, I made a measurement and an analysis of the academic achievement of the subjects, their understanding of classes based on the web sites, the concentration of the learners, and their responses relating to the contents of web sites concentrating on probability and statistics. I have come to the following conclusions based on the findings. First there was a significant difference between the classes of honor students and the classes of backward pupils when T-Test was made with regard to the achievement of the subjects who divided into the experiment group and the control group. The former made use of the web sites whereas the latter stuck to the conventional way of teaching math. The former scored higher than the latter. Second, the research based on questionnaire findings shows that the web-site-aided experiment classes proved to be more effective than the traditional control classes. All in all, I think that web-aided classes will have a more positive influence on the students' interest in math and on the scholastic achievement of math than conventional classes.

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Trend analysis of secondary school mathematics teacher certification examination (중등교사 임용시험 수학교과 내용학 문항의 출제 경향 분석)

  • Byun, Ji-Soo;Choi, Byung-Ok
    • Journal for History of Mathematics
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    • v.25 no.3
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    • pp.119-140
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    • 2012
  • This study analyzed the questions related to the content knowledge of mathematics subject for the middle and high school teacher employment examination conducted from the school year of 2009 to 2012 based on the evaluation scope of the mathematics subject content knowledge and evaluation contents which were presented by the Korea Institute for Curriculum and Evaluation(KICE). To achieve the objectives of this study, a total of 105 questions were collected with respect to the questions that appeared on the test over the last 4 years which aimed to evaluate the level of applicants' knowledge related to the contents of mathematics subject. The ratio of the contents covered in the test was assessed based on the scope of evaluation and the items for evaluation among the 9 subjects. Based on the results, suggestions were presented in relation to the operation of the mathematics curriculum for the department of mathematics education at the college of education or the restructuring of the evaluation scope. There was a significant difference in the ratio of items that appeared on the test among the 9 subjects related to the content knowledge of mathematics. Also, there was a remarkable difference in the ratio of items covered in the test among the evaluation scope by subject. The results of analysis on the evaluation content items suggested that 149 items out of 256 items did not appear in the teacher employment examination for 4 years. Based on such results of analysis, this study discussed the need for readjusting the ratio of items covered in the test of content knowledge related to mathematics or the evaluation scope and evaluation content items.

A Critical Exploration on Terms and Notations in Mathematics Curriculum and Textbooks (교육과정과 교과서에 제시된 용어·기호에 대한 비판적 고찰)

  • Kim, Sun Hee;Seo, Dong Yeop;Kang, Sung Kwon;Kim, Su Min
    • School Mathematics
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    • v.18 no.3
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    • pp.611-623
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    • 2016
  • This study explored the problems of definitions and choices of terms and notations and proposed a few tasks for improvement of them included , , of high school mathematics based on 2009 revised mathematics curriculum and textbooks. We explored the problems on the features of the methods and contents of definitions of terms and notations in the viewpoint of the possibilities of difficulties on students' understanding, and proposed several criteria for choices of terms and notations in curriculum. And we proposed several tasks to improve the problems as follows: we need to implement much analyses and discussions on terms and notations and to open the results, to make the criteria for the examinations of mathematics textbooks in the viewpoint of therm and notation, to consider the differences of the methods of definitions among primary, middle, and high schools, and to consider the changes of terms and notations and the methods for introduction of them in textbooks.

The Effect of Problem-posing Activities on the Affective Domain of Mathematics (문제제기 활동이 수학에 대한 정의적 영역에 미치는 영향)

  • Oh, Yeongsu;Jeon, Youngju
    • The Journal of the Korea Contents Association
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    • v.18 no.2
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    • pp.541-552
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    • 2018
  • The purpose of this study was to investigate the effects of 'problem posing from mathematical problems' on the students' affective domain of mathematics, and to conduct evaluation and management of teachers' respectively. The quantitative and qualitative approaches were combined to analyze the changes in the affective achievement of all the students and individual students in the study. The conclusions of this study are as follows: First, problem-posing class improved the problem-solving ability and meaningful experience in the learning activity itself, thus improving students' self-confidence, interest, value, and desire to learn. Second, The students' affective domain of mathematics should be emphasized, and systematic evaluation and management should be carried out from the first grade of middle school to high school senior in mathematics. Third, it is necessary to present and disseminate them in detail on the national-level to evaluation system and method of affective domain of mathematics. Therefore, the teacher should actively implement the problem-posing teaching and learning in the classroom lesson and help students' affective achievement. and teachers need to measure and manage the affective achievement of all students on a regular basis.

A Study on determining hierarchy about the domain specific knowledge of the algorithm in middle schools (중학교 알고리즘 교육 내용의 위계 설정에 관한 연구)

  • Kim, Kyung-Hoon
    • The Journal of Korean Association of Computer Education
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    • v.9 no.5
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    • pp.41-51
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    • 2006
  • The purpose of this study is to verify learning components to be taught in each grade of middle schools, to propose hierarchical structures on algorithm content, and to resolve overlapping across related subjects. In order to verify learning components, four criteria were proposed. To evaluate practical application, they were implemented into The Proposal of Curriculum Revision on Computer Education in Middle School on MPE website. It was found that there was content overlapping between 'problem solving methods and procedures' in the middle school Informatics Curriculum and 'regulation and problem solving' in the Elementary Mathematics Curriculum. So it is needed to find a way to differentiate the contents of 'problem solving methods and procedures' from the other related subjects.

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A Study on Comprehension level of Mathematical Basic Knowledge by 2nd Middle School Students (중학교 영재학생의 수학기초지식의 이해 정도에 대한 조사 연구)

  • Suh, Bo-Euk
    • Journal of the Korean School Mathematics Society
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    • v.12 no.1
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    • pp.131-149
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    • 2009
  • A study on comprehension level of mathematical basic knowledge(MBK) of gifted students in middle school. The interest in mathematics gifted education is very high. However, in reality, there has been a shortage of the analysis of students' achievement result since mathematics gifted education began through the institute of gifted education in the education office in 2003. On this study, MBK is subdivided into definition, property and procedure and then examination questions arc developed on the basis of national level achievement standard. With these examination tools, total inspection was conducted in on metropolitan city and the result was analyzed. First, in a basic definition, relatively low achievement result was seen except the basic concept related operation. Second, in a basic property, very low achievement result was seen in the questions of basic property without basic definition and as a whole, the result was similar with the basic definition. Third, in basic procedure, the achievement result was very remarkable. This result shows we need tn increase the comprehension ability of MBK. To do this, the systematic alternative development of the questions of selecting gifted students and the contents of gifted education is required. This study proposes the meaningful implication to the selection question development related to the MBK and the improvement of gifted education contents. And it is expected to provide the positive change for mathematics gifted education.

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