• Title/Summary/Keyword: mathematics ability

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A Development of the Test for Mathematical Creative Problem Solving Ability

  • Lee, Kang-Sup;Hwang, Dong jou;Seo, Jong-Jin
    • Research in Mathematical Education
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    • v.7 no.3
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    • pp.163-189
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    • 2003
  • The purpose of this study is to develop a test, which can be used in creative problem solving ability in mathematics of the mathematically gifted and the regular students. This test tool is composed of three categories; fluency (number of responses), flexibility (number of different kinds of responses), and originality (degree of uniqueness of responses) which are the factors of the creativity. After applying to 462 middle school students, this test was analyzed into item analysis. As a results of item analysis, it turned out to be meaningful (reliability: 0.80, validity: item 1(1.05), item 2(1.10), item 3(0.85), item 4(0.90), item 5(1.08), item difficulty: item 1(-0.22), item 2(-0.41), item 3(0.23), item 4(0.40), item 5(-0.01), item discriminating power: item 1(0.73), item 2(0.73), item 3(0.67), item 4(0.51), item 5(0.56), over the level of a standard basis. This means that the test tool was useful in the test process of creative problem solving ability in mathematics

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Difference between Gifted and Regular Students in Mathematical Creativity and Mathematical Self-Efficacy

  • Seo, Jong Jin;Hwang, Dong Jou
    • Research in Mathematical Education
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    • v.8 no.3
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    • pp.183-202
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    • 2004
  • The former study results demonstrate that differences between people of creativity and non-creativity lie in differences of the self-efficacies rather than those of cognitive aspects and a man of higher self-efficacy has a tendency to set up a higher goal of achievement and higher self-efficacy influences his or her achievement results as well (Zimmerman & Bandura 1994). Using the method of mathematical creative responses of open-ended approach (Lee, Hwang & Seo 2003), difference of mathematical self-efficacies has been surveyed in the study. Results of the survey showed that some students of a high mathematical self-efficacy even had bad marks in the originality or creativity but, in some cases, some students of a low mathematical self-efficacy rather had good marks in the fluency. Therefore, the response results mathematical creativity ability may be a special ability and not just a combination of self-efficacy ability. The fluency of the mathematical creative ability may be a combination of mathematical motivation ability that have been surveyed in the study suggest that not only cognitive components but also social and emotional components should be included in a development process of new creative method for teaching and learning mathematics.

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The Effects of Learning by Questions on the Achievement Ability of Mathematics Study and Learning Attitude - Focused on the Chapter ″Equation of Figure″ of the First Grade in High School - (발문학습이 수학과 학업성취도 및 학습태도에 미치는 영향 - 고등학교 1학년 ″도형의 방정식″ 단원을 중심으로 -)

  • 민경선
    • Journal of the Korean School Mathematics Society
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    • v.3 no.1
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    • pp.117-129
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    • 2000
  • The purpose of this research consists in understanding how the effects of Teaching Method by Questions on the achievement ability of math study and learning attitude are in the aspect of teaching and learning procedure, compared with those of the traditional teaching way. To attain the purpose, the research questions have been set up as follows: [Research Question 1] How to make a teaching plan of effective Learning by Questions\ulcorner [Research Question 2] Can Learning by Questions bring about a meaningful difference between two groups (experimental group and comparative group) in the aspect of the achievement ability of math study\ulcorner [Research Question 3] Can Learning by Questions change the Learning attitude of the students positively\ulcorner The outcome is as follows: First, it shows that the experimental group with Learning by Questions have marked more significant difference than the comparative group in the aspect of the achievement ability of math study. That is, Learning by Questions has a positive effect on the achievement ability of math study. Second, the experimental group with Learning by Questions have brought about more positive learning attitude than the comparative group without Learning by Questions.

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A Study on the Development of Problems for Teaching Students in Poor Mathematical Progress (수학학습부진아 지도를 위한 문제개발에 관한 연구)

  • 이기수
    • Journal of the Korean School Mathematics Society
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    • v.2 no.1
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    • pp.167-179
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    • 1999
  • The aim of this study is to improve the basic learning ability of those who make poor progress in mathematics and to keep positive and active learning attitudes in class afterward by using problems whith both make them advance their basic learning ability and supplement lack of previous learning in class or after school. supplementary problems were developed by focusing the ability of basic calculation, the comprehension of concepts, principles, and rules by analyzing necessary contents precisely each domain after itemizing learning contents each unit. the results of the study are this: 1) The students who solved the problems, that were developed to improve the basic learning ability and to supplement the earlier learning during their classes or giving homework, made significant progress in their scholastic achievement; more than those who were not involved. 2) Meaningful changes were demonstrated in the motivation for achievement among the domains of learning attitudes before and after the experiment but, not in their interest, the consciousness of purpose, attention, voluntary and efficient learning as shown in their learning habits. In this study, therefore, the problems which were developed to improve the basic learning ability and to supplement the earlier learning by focusing on the competence for basic calculation, and the comprehension of concepts, principles and rules were effective positively only in the area of motivation for achievement. there were no meaningful differences in the other domains.

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The Effects of Mathematics-Centered STEAM Program on Middle School Students' Interest in STEM Career and Integrated Problem Solving Ability (수학교과 중심의 STEAM 수업이 중학생들의 STEM 분야 진로 흥미도 및 융합적 문제해결력에 미치는 영향)

  • Han, Hyesook
    • Communications of Mathematical Education
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    • v.31 no.1
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    • pp.125-147
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    • 2017
  • The purpose of this study was to investigate the effects of mathematics-centered STEAM program which was operated in free semester system classes on middle school students' interest in science, technology/engineering, and mathematics(STEM) career and integrated problem solving ability. The study was conducted with 40 first graders in a middle school for 12 weeks using mathematics-centered STEAM program developed for the use of free semester system classes by the support of the Ministry of Education/KOFAC in 2016. According to the results of STEM career interest survey, mathematics-centered STEAM program was effective for improving middle school students' interest in STEM career. And it was also effective in the development of students' integrated problem solving ability.

In Search of Improvement Schemes on Textbooks and Teacher Guide Books for Low Achievement Students in Mathematics : A Careful Analysis of the Results of Korean Elementary 3 Grade Students National Diagnosis Assessment on Basic Scholastic Ability in Area of Mathematics (수학 기초학력 부진아 지도를 위한 교과서 및 교사용 지도서의 개선 방안 탐색 - 초3 국가수준 기초학력 진단평가 기초 수학 결과 분석 -)

  • Cho Young-Mi
    • School Mathematics
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    • v.8 no.1
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    • pp.69-88
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    • 2006
  • It is well known that the low achievement students are easily affected by the ways how the materials are organized and presented. So the studies on trying to find how those students' responses are differed according to the organization or presentation of the materials are necessary. This paper was based on the results of Korean Elementary 3 Grade Students National Diagnosis Assessment on Basic Scholastic Ability in area of mathematics. We analyzed students responses through combining the percents of correct answers with the assessment items. After that, we identified the properties of low achievement students in mathematics and presented some guides which, we thought, are helpful for improvements of mathematics textbooks and teacher guide books.

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Development and Implementation of Elementary Mathematics Curriculum (창의적 문제해결력 중심의 수학 교육과정 개발 및 적용: 초등학교 수준을 중심으로)

  • 김정효;권오남
    • Education of Primary School Mathematics
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    • v.4 no.2
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    • pp.83-103
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    • 2000
  • The purpose of this study is to develop and implement an alternative elementary mathematics curriculum to enhance creative problem solving ability. The curriculum consisting of three main elements was developed. The three elements are content knowledge, process knowledge and creative thinking skills. The curriculum contents and the units were developed by mathematics educators, elementary educators, psychologists, elementary school teachers and curriculum specialists for 3 years. In order to test the effectiveness of the developed curriculum, the 5 units based on a problem-based-learning (PBL) method were implemented in a 5th grade class as an experimental group during the second semester. For the comparison group the ordinary lesson based on the 6th national mathematics curriculum was implemented during the same period. Performance assessment was developed and used for the pre and post test. T-est was use to testify that the effect of the curriculum is statistically signigicant. The results of the test showed that the experimental group progressed significantly in the creative problem solving ability, but the comparison group did not.

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An Analysis on the Correlation between the College Scholastic Ability Test and the Mathematics Level Assessment (대학수학능력시험과 수학진단평가의 상관관계 분석)

  • Son, Min Ji;Pyo, Yong-Soo
    • East Asian mathematical journal
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    • v.30 no.4
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    • pp.493-507
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    • 2014
  • The purpose of this thesis is to understand the relationship between the College Scholastic Ability Test(CSAT) and the Mathematics Level Assessment(MLA) which is conducted in P University. There are high correlations in grades, subject areas and college entrance types between grades of mathematics B-type of the CSAT and scores of the MLA. However, the many students showed substantial differences between the grades in the two tests. On the basis of these analysis results, we suggest plans for improving the implementation of the MLA and the teaching-learning methods about College General Mathematics.

Motivated Strategies for Learning of Prospective Elementary School Teachers (예비초등교사의 학습동기 전략에 관한 연구)

  • 김민경
    • Education of Primary School Mathematics
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    • v.6 no.2
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    • pp.55-64
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    • 2002
  • According to changing the society rapidly in the 21s1 century, the self-regulated learning ability is considered as an ability of which people should carry on their lives. The purpose of this study was to investigate prospective elementary school teachers in mathematics teaching method class in terms of the following areas: (1) the degree of their abilities shown the lower level factors of motivated strategies for learning such as self-efficacy, intrinsic value, anxiety, cognitive strategy use, and self-regulation (2) relations between factors of motivated strategies for loaming and performance of prospective elementary school teachers The results show that the prospective elementary school teachers showed above the mean value of the motivated strategies for learning and there are positive relations among lower level factors of motivated strategies fur learning except anxiety, positive relation between motivated strategies for learning and achievement. In order to help the prospective elementary school teacher to improve their motivated strategies fur learning in their elementary mathematics teaching method lecture, several methods such as mathematical connections to real world problem, history of mathematics and interview with mathematicians and application of feller's ARCS model to elementary mathematics education are suggested.

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A Comparative Study on Korean and Japanese Mathematics Items of College Entrance Exam (한국과 일본 대학입학시험의 수학 문항에 대한 비교 분석)

  • Sub, Bo-Euk;Nam, Jin-Young
    • The Mathematical Education
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    • v.49 no.4
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    • pp.395-410
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    • 2010
  • Current mathematics of CSAT(College Scholastic Ability Test) faces time to prepare examination questions according to the new curriculum making this year the last. MEST(Minister of Education, Science and Technology) already decided the range of examination in 2008. However, the discuss about how to construct the questions and what form of questions should be set was not conducted enough. Mathematics items of CSAT will have to undergo changes both in 2012 and 2014. Also, reconstruction of the examination questions for the past 16 years and the exploration of the new direction are strongly required. To accord with these requirements, this study analyze Japan's college entrance exam, NCTUA(National Center Test for University Admissions) which is the most similar to our exams. And then on the basis of this, the applicable implication to set mathematics questions in 2012 and 2014 CSAT will be deducted.