• Title/Summary/Keyword: attitudes toward mathematics

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An Analysis of the Effects of Teaching Mathematics Underachievers by the Principles of Cognitively Guided Instruction (인지적으로 안내된 교수 원리를 적용한 수학학습부진아 지도 효과 분석)

  • Kim, Ji-Hye;Oh, Young-Youl
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.789-806
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    • 2010
  • As calls for more attention toward social minority group increases in our society recently, in the field of mathematics education more attention toward an issue about mathematics underachievers is being amplified. Thus, the present study is to examine the effects of teaching method considering students' cognitive characteristics on mathematical underachievers' problem solving and mathematical disposition. For this study, 10 fifth graders identified as mathematical underachievers based on the results of the national level diagnosis assessment and school based assessment were voluntarily selected from an elementary school in Seoul. The results of this study found out the fact that students participating in this program improved in terms of an ability both to solve problems in various ways and to explain an process of problem solving using spoken or written language and drawings. In addition, learning environment respecting students' own mathematical ideas seems to positively influence students' attitudes toward mathematics learning and mathematical dispositions. Furthermore, this study pointed out that mathematical underachievers tend to have difficulty in expressing their own mathematical thinking by reason of linguistic limitation. Finally, the findings of this study imply that for effective teaching of mathematics underachievers, these students' own informal experience and knowledge about mathematics as well as their characteristics regarding learning difficulties should be strongly considered.

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A Study on the Discourses Related to Mathematical Aptitude in High School Students (고등학교 남녀 학생의 수학 능력에 대한 담론 연구)

  • Kwon, Oh-Nam;Park, Kyung-Mee;Im, Hyung;Huh, Ra-Keum
    • Journal of Educational Research in Mathematics
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    • v.9 no.1
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    • pp.351-367
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    • 1999
  • This study aims to study the discourses influencing high school students' concept and attitude toward mathematics, and to examine how gender differences concerning mathematical aptitude are created. This study is based on the results of previous two studies which suggested that mathematical competence differs not only according to gender, region and school year, but also even within the same gender. For this study, 12 students ranking in the top 10% at two co-ed high schools were interviewed to find out 1) what discourses are related to gender and mathematics, 2) in what way these discourses are formulated and gain currency, and 3) how they have affected students in general. Common notions concerning mathematics may be summed up as follows: 1) Most of the students believe that gender difference in mathematical aptitude results because biologically men tend to be strong in mathematics and analytical skills while women tend to have better linguistic ability. This concept can help male students' studying to have a greater learning toward mathematics. 2) A large number of the students believe that male students' studying method is based on comprehension whereas female students' method is based on retention, and hence the former group tends to be better at applying their learning than the latter group. This notion seres to encourage male students and discourage female students from tackling difficult mathematical problems. 3) Many students believe that, although female students may surpass their male counterparts in middle school or the first year of high school, they will eventually fall behind by the 3rd year. Despite research which shows that these common beliefs are not grounded in scientific proof, high-school girls, who may be strong in mathematics, lose self-confidence and feel a sense of crisis. The mechanisms which produce and reinforce such concepts as those mentioned above can be summarized as follows: 1) Regarding the choice of majors and future career paths, parents show different attitudes toward sons and daughters, and this tends to influence high-school girls and hinders them from entering mathematics-related fields. 2) Teachers with value systems based on stereo-typed gender roles affect students a great deal, and give different advice according to gender of their students, for selecting their major fields - for instance, whether to study the natural sciences as opposed to humanities. 3) This study indicates that peer-group behavior, of either support or exclusion, also reinforces the process of internalizing notions of gender difference related to mathematical aptitude. 4) The gender-based notion that men are naturally more inclined to have better mathematical ability has caused male students to choose the natural science subjects and female students to turn to the humanities. The discourses discussed above, propagated in schools and homes, and in the mass media, are continually reinforced along with general gender inequalities in the society at large.

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Development and Application of the Scientific Inquiry-based STEAM Education Program about Earthquakes (지진에 대한 과학 탐구 기반의 STEAM 교육 프로그램 개발과 적용)

  • Lee, Hyundong;Bae, Taeyoun;Lee, Hyonyong
    • Journal of the Korean earth science society
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    • v.37 no.7
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    • pp.476-488
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    • 2016
  • The purposes of this study were to develop a scientific inquiry-based STEAM education program and to investigate its effect on changing middle school students' self-efficacy in science, job awareness, and attitudes toward STEM. A scientific inquiry-based STEAM program was developed with the theme of 'earthquakes', using the ADBA model, which was taking up the total of six class periods. The final program, which had been revised and completed after being pre-tested with middle school students, was implemented to 105 third-graders of middle school in a metropolitan city. One sample pre-post paired t-test before and after applying the program to the same group was conducted, and its effectiveness was analyzed in terms of self-efficacy in science, job awareness, attitudes toward science, technology, engineering and mathematics. Results showed that the STEAM program on the theme of 'earthquakes' demonstrated its effect on improving the students' of self-efficacy in science subject and their awareness of science-related jobs. Furthermore, this program indicated a statistical significance in improving middle school students' attitudes, awareness, and abilities, values, and continuing interest towards science, technology, engineering, and mathematics. Therefore, we suggest that this scientific inquiry based STEAM program be used to help students to improve their scientific investigation skills as well as their creative and integrated thinking abilities in schools.

A Study on the Factors Influencing Gender Differences Changes of Korean students in PISA Mathematics Assessment (PISA수학성취도 평가에 나타난 한국 학생들의 성차 추이의 배경 요인 연구)

  • Lee, Eun-Jung;Lee, Kyeong-Hwa
    • Journal of Educational Research in Mathematics
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    • v.21 no.4
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    • pp.313-326
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    • 2011
  • The purpose of this study is to analyze changes in gender differences of Korean students in PISA mathematics assessment and investigate possible factors influencing the decrease of gender gap in mathematics performances. According to the results of PISA mathematics assessment, Korea showed significant large gender differences in mathematics achievement in both 2000 and 2003. The gender gap in favor of boys, however, has decreased since 2006. An interesting point from these results is that Korean girls' significant improvement led to the decrease in gender difference in 2006 and 2009 assessment. Based on a review of literature on gender differences in mathematics, possible explanations for the girls' improvement in mathematics achievements are identified as follows: the Korean government policy to encourage and support girls' study in mathematics and science and supportive environments could influence positively girls' attitudes toward mathematics and their mathematics learning; the changes in the mathematics curriculum and textbooks which emphasize similar characteristics to PISA mathematics assessment could affect the girls' improvement by reducing their unfamiliarity with PISA mathematics assessment items.

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Students' Self-Regulated Learning Strategies in Traditional and Non-Traditional Classroom: A Comparative Study

  • Davaanyam, Tumenbayar;Tserendorj, Navchaa
    • Research in Mathematical Education
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    • v.19 no.1
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    • pp.81-88
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    • 2015
  • This study used a posttest control group design and to find out differences between students' self-regulated learning strategies in traditional and non-traditional classroom. To this end, 131 first year university students within the experimental and control groups took part in the study. While ICT-based approach was used as the main medium of instruction in the experimental group, in the control group the paper-based traditional method was used. A survey adapted from Davaanyam [Davaanyam, T. (2013). The structural relationships among Mongolian students' attitudes toward mathematics, motivational beliefs, self-regulated learning strategies, and mathematics achievement. Ph. D. Dissertation. Jeonju, Jeonbuk, Korea: Chonbuk National Unversity.] was used to gather the data. The results of the study indicated a significant difference between the control and experimental groups in regard with their self-regulated learning. That is to say, the experimental group taught through ICT tools acquired higher levels of self-regulation as compared with the control group instructed through the traditional teaching method.

A Study on Teaching and Learning of Elementary Mathematics is a Constructivists View (구성주의적 관점에서 관찰한 초등수학의 교수.학습방법에 관한 연구)

  • 최창우;권기자
    • Education of Primary School Mathematics
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    • v.4 no.2
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    • pp.139-150
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    • 2000
  • The objectives of the current study are first, to compare and analyze the two different teaching methods of elementary mathematics in the traditional method and in the constructivists view, and, second, thereby to reveal possible problems of the present teaching practice and to suggest some guidelines to solve those problems.The results of this research are as follows: First, longer time was spent to reach the target pont of class because the class was a little bit disturbed and noisy due to a large amount of student activities in the beginning of the class in the constructive view. Second, in the class in the constructive view, the teacher should be able to respond appropriately to the situation where the students were cognitively. And the teachers sufficient preparation for the class was found essential to have the students reach the target point by themselves through identifying children`s minds. Third, the class in the constructivists view provide the teaching environment were the teacher could evaluate each students ability accurately and study progress of the class. And fourth, finally, it was not easy for the teacher to pay attention individually to each student in the current situation of large class, The effort to have more concern for students seems to contribute to opening student`s closed minds and to forming positive attitudes toward mathematics.

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The Lived Space of Mathematics Learning: An Attempt for Change

  • Wong Ngai-Ying;Chiu Ming Ming;Wong Ka-Ming;Lam Chi-Chung
    • Research in Mathematical Education
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    • v.9 no.1 s.21
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    • pp.25-45
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    • 2005
  • Background Phenomenography suggests that more variation is associated with wider ways of experiencing phenomena. In the discipline of mathematics, broadening the 'lived space' of mathematics learning might enhance students' ability to solve mathematics problems Aims The aim of the present study is to: 1. enhance secondary school students' capabilities for dealing with mathematical problems; and 2. examine if students' conception of mathematics can thereby be broadened. Sample 410 Secondary 1 students from ten schools participated in the study and the reference group consisted of 275 Secondary 1 students. Methods The students were provided with non-routine problems in their normal mathematics classes for one academic year. Their attitudes toward mathematics, their conceptions of mathematics, and their problem-solving performance were measured both at the beginning and at the end of the year. Results and conclusions Hierarchical regression analyses revealed that the problem-solving performance of students receiving non-routine problems improved more than that of other students, but the effect depended on the level of use of the non-routine problems and the academic standards of the students. Thus, use of non-routine mathematical problems that appropriately fits students' ability levels can induce changes in their lived space of mathematics learning and broaden their conceptions of mathematics and of mathematics learning.

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The Effects of Teaching Based on a Learning-communities Approach to Mathematics in Middle School (중학교 1학년 수학교실에서의 배움공동체 교수·학습 방법 효과 분석)

  • Kim, SeonHye;Lee, BongJu
    • Journal of the Korean School Mathematics Society
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    • v.19 no.4
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    • pp.417-439
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    • 2016
  • The purpose of this study is to compare and analyze the effects of teaching based on learning-communities approach to mathematics for 7th grade students. Two classes of 7th graders at two different middle schools in same city were selected as the experimental group and the control group respectively. Students in the experimental group learned mathematics in a learning-community while their counterparts in the control group received the traditional whole-class instruction employed in most schools. The results are as follows. Firstly, there was no statistically significant difference in mathematics achievement between the experimental group and the control group. Secondly, between the two groups, there were statistically significant differences in students' attitudes toward mathematics. Participants enjoyed the learning process itself by asking difficult questions to one another, sharing their ideas freely and figuring problems out for themselves. During these active participations, they displayed more confidence and interest in learning mathematics.

Introducing the Mrs. Weill's Hill Diagram to Learning Algorithm (수 연산에서의 언덕도 도입의 실제)

  • Lee Eui-Won;Kim Jin-Sang;Lee Myung-Hee
    • Journal of Elementary Mathematics Education in Korea
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    • v.6 no.1
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    • pp.23-40
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    • 2002
  • Historically, the use of algorithms has been emphasized in the mathematics curriculum at the elementary school mathematics. The current reform movement in our country are seemed to emphasize the importance of algorithms in favor of problem-solving approaches, the conceptualization of mathematical processes and applications of mathematics in real world situations. Recently, children may come to school with a fairly well-developed attitude about mathematics and mathematical ideas. That is, they do not come to school and to learning mathematics with a clean slate. Because they have already formed some partial mathematical concepts in a wide variety of contexts. Many kindergarten children have attended pre-school programs where they played with blocks, made patterns, and started adding and subtracting. It seems that there are psychological change attitudes of the children in upper grades toward learning mathematics. In our elementary school mathematics, almost every student are still math anxious or have developed math anxiety because of paper-pencil test. In these views, this paper is devoted to introduce and apply to second grade students in ND-elementary school in Taegu City the new method for learning addition and subtraction so called ‘Mrs Weill's Hill’, which is believed as a suitable method for children with mathematical teaming disabilities and Math anxiety.

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The Meaning and Applications of Storytelling in Elementary Mathematics Education-Focused on Elementary Mathematics Textbooks (초등수학교육에서 스토리텔링의 의미와 적용 방안 -초등수학교과서를 중심으로-)

  • Park, Mangoo
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.3
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    • pp.413-430
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    • 2013
  • The purpose of this study was to analyze mathematical storytelling in Korean elementary mathematics textbooks and propose some applications for better storytelling, Storytelling strategies were introduced for enhancing students' understanding on mathematical concepts and improving students' attitudes toward mathematics. For this study, the researcher analyzed the 2nd grade mathematics textbook that employs storytelling strategies. The results are as follows. First, current storytelling textbook chapter is designed to appreciate students' intellectual autonomy. Second, current storytelling textbook chapter includes the storytelling that helps understand mathematical concepts and exercise mathematical skills. Third, current storytelling textbook chapter is designed for enhancing students' interest and helping students' character education. The researcher suggested the followings. First, a long term field-based research should be continued for more improved mathematical storytelling materials. Second, a digital format storytelling also needs to be developed as an alternative strategy of mathematical storytelling, which reinforces interactions between teller and listeners.

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