• Title/Summary/Keyword: Mathematics education improvement

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An Analysis of Korean Middle School Students' Learning Style (우리나라 중학생들의 학습양식 분석)

  • Ju, Mi Kyung;Byun, Hee Hyun
    • School Mathematics
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    • v.15 no.1
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    • pp.101-120
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    • 2013
  • International comparative studies of students' performance in mathematics have shown that Korean students possess very negative attitudes toward mathematics, while they are ranked as one of the highest in the cognitive achievement of mathematics. This has prompted mathematics educators to seek for a way to improve the quality of mathematics education. In this context, this research has been conducted to investigate the learning style of Korean middle school students under the assumption that it is of essence to understand the characteristics of our students as mathematics learners. For the purpose, in-depth interview had been conducted and sixteen middle students participated in the interview. The students were chosen to represent the average group of their age-cohorts based on their performance in mathematics and their SES. The interview was designed as a semi-structured clinical interview. In the interview, the students were given mathematical tasks dealing with central themes in the domain of function. Each student was given about 30 to 50 minutes to solve the tasks. After an interviewee finished the tasks, s/he was asked to explained how s/he solved the tasks. The researchers asked additional questions to clarify the students' understanding of the mathematical themes in the tasks and to identify their strategies for learning mathematics. The analysis of the in-depth interview has primarily identified the characteristics of the students' understanding of the main themes in function and then has been extended to investigate their characteristic styles for learning mathematics. The analysis of the interview identified the learning styles of the students as 'inductive learning based on prototypical cases', 'repeated practice of exemplar mathematics problems', 'disengaged learning', and 'double standards in learning mathematics'. Based on the results of the analysis, this research presents the implications for the improvement of mathematics education.

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Exploring improvement of curriculum on analysis of the connectivity between competencies, skills and achievement standards in 2015 revised mathematics curriculum for elementary school (2015 개정 초등학교 수학과 교육과정 역량, 기능, 성취기준 연계성 분석을 통한 교육과정 개선 방안 탐색)

  • Lee, HwaYoung
    • The Mathematical Education
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    • v.59 no.4
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    • pp.357-371
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    • 2020
  • In the 2015 revised math curriculum, core competencies have been embodied and presented as skills and achievement standards. In this study, I analyzed aspects of the link between competencies, skills and achievement standards in the 2015 revised mathematics curriculum for elementary schools. According to the study, six mathematics curriculum competencies were presented evenly as 'skills' in each content area of elementary school, but reflected some of the sub-components of the curriculum, and some of them were presented as 'skills' but not as 'achievement standards'. In addition, the types of skills reflected in the achievement standards varied greatly by content area, but a few of specific skills such as 'understand' were found to be highly emphasized. Based on this, several implications were derived to further improve the implementation of competencies. First, 'skill' should be presented in a more systematic way and with more validity of extraction. Second, the extent to which competencies are presented in the achievement standards should be discussed. Third, Mathematics skills should be presented differently by grade(cluster) in achievement standards, 'Guidelines for Teaching and Learning' and 'Guidelines for Assesment'. Fourth, competencies related to content shall be presented separately and in detail.

A Case Study on Error of Underachievers in Mathematics in Function Learning (함수 학습에 나타난 수학 학습부진아의 오류에 대한 사례 연구)

  • Shim, Sang-Kil;Choi, Jae-Yong
    • Communications of Mathematical Education
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    • v.22 no.3
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    • pp.275-288
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    • 2008
  • The study aims to figure phenomena and changes that underachievers in mathematics show in the process of learning a function. It is necessary to remind basic concepts once again in advance at a time of teaching underachievers in mathematics to check what they have difficulties in learning for further teaching later on. Five participating students said that teachers' detailed explanation was more helpful, and they found it difficult to learn tables, graphs and formulas at first, but as time progressed, they naturally accepted them. In this regard, it is necessary to use various expressions and means to teach underachievers in mathematics.

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A Study on the relation between SDLR and Mathematical Inclination - A Case Study on Engineering Freshmen in D University - (자기주도학습준비도와 수학적성향 사이의 관계 연구 - D대학교 공과대학 신입생을 중심으로 -)

  • Lee, Jung-Rye;Lee, Gyeoung-Hee
    • Communications of Mathematical Education
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    • v.26 no.1
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    • pp.15-28
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    • 2012
  • In order to study the relation between self-directed learning readiness and mathematical inclination, we survey the adjusted SDLRS(self-directed learning readiness scale) of Guglielmino's model and the mathematical inclination, the recognition of mathematics for 2011 year engineering freshmen in D university. Research results are as follows: First of all, middle level engineering freshmen showed average level of self-directed learning readiness, and they had lower level of motivation, passion and time management skill. The relation of SDLR and the mathematical inclination was strong. Furthermore, SDLR and the recognition of mathematics in engineering freshmen was found to be the most closely related. Based on the results of the study, we suggest to study of strategies to elevate SDLR of engineering students and improve their achievement in college mathematics. Especially, we suggest that college mathematics for engineering freshmen must be focused on the improvement of SDLR.

A Comparative Study of Mathematics Curriculum and National Assessment Between Japan and Korea (일본과 우리나라의 수학과 교육과정과 국가수준 학업성취도 평가 비교)

  • Rim, Haemee;Kim, Bumi
    • School Mathematics
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    • v.16 no.2
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    • pp.259-283
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    • 2014
  • This research investigated the Revised mathematics curriculum and the National Achievement Test of Japan that advanced by leaps and bounds in PISA 2012. As compared with Korea, Japan shows similar trends in the affective domain and the cognitive domain of international achievement test. To put it concretely, this research compared and analyzed the mathematics contents domain of the 2009 revised mathematics curriculum of Korea and the 2008 revised mathematics curriculum of Japan being applied. The analysis was conducted in many aspects including overall of Japanese mathematics education system, the contents to be covered in each grade, and the methods of essential learning themes. We compared the mathematics contents dealt with each country based on the framework of analysis such as

    . Also, this research compared and analyzed overview of evaluation system, assessment frame, item characteristic, type of item of NAEA, NAT, and PISA. The results show the introduction time, the degree of deepening themes handled in each country, common themes and topics were very similar between Korea and Japan. But content area of Japan and Korea have been highlighted in the curriculum of middle school and elementary school in each are different. We know that Test B of NAT also emphasized the use of mathematical knowledge. Form the results, we obtained the basic data for the improvement of the next our curriculum. In addition, this results suggests the implications for the improvement of school mathematics curriculum of Korea.

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  • The Analysis of the Tendency that the Understanding of Mathematics Affects the Learning of Science and the Research on the Connection between the Two Subjects (수학의 이해가 과학의 학습에 미치는 경향 분석 및 교과 연계성에 대한 연구)

    • Suh, Bo-Euk;Kim, Hye-Kyung;Kim, Ju-Young;Kim, Jong-Jae;Kim, Hyun-Ji;Chae, Jeong-Lim
      • Journal of the Korean School Mathematics Society
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      • v.11 no.4
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      • pp.677-694
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      • 2008
    • Mathematics and science courses have a deep connectednessGnterrelationship). This research analysis their connectedness focused mathematics courses. Textbooks which were used in seventh education process were used in this analysis and the connectedness was further analyzed. From this analysis, three norms study various cases where mathematics courses affect science courses. The three norms are defined by order of curriculum of mathematics and natural science courses that have interrelationship. Lastly, a method to organize to connect mathematics and natural science course is discussed in detail in two aspects. Thorough this research, improvement in study achievement ability is expected by positive effects of mathematics courses to science courses.

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    Revisions of University Entrance Exams of Mathematics in the UK, Australia, and Japan (영국, 호주, 일본의 대학입학 수학시험 개정)

    • Nam, Jinyoung
      • Journal of Educational Research in Mathematics
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      • v.27 no.4
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      • pp.679-700
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      • 2017
    • In this study, revisions of university entrance exams of mathematics in the UK, Australia and Japan are investigated. In the UK, A-level mathematics are revised to harmonize pure and applied mathematics so that the subjects and contents of each test are adjusted, and new types of items are announced. NSW university entrance exams in Australia are being revised in line with the Stronger Higher School Certificate policy, which basically reinforces mathematics. In Japan, as part of the educational reforms that link high schools and universities, current exams of National Center for University Entrance Examinations are abolished and Common Test for University Entrance is introduced. Mathematics of new test emphasizes comprehension, judgement and expression with new items and short-answer questions. Based on the case of the UK, Australia and Japan, this study discussed improvement of mathematics test in the Collage Scholastic Ability Test (CSAT) Korea in terms of objects and characteristics of test, systems and types of items. and support from academia.

    The Effects of Mathematical Communication-Centered Teaching Using Peer Feedback on Mathematics Learning (동료 피드백을 활용한 수학적 의사소통이 수학 학습에 미치는 효과)

    • Oh, Young-Youl;Oh, Tae-Wook
      • Communications of Mathematical Education
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      • v.23 no.2
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      • pp.327-347
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      • 2009
    • The purpose of the present study is to investigate the effects of mathematical communication-centered teaching using peer feedbacks on students' mathematics achievement and mathematical dispositions toward mathematics, and then this study examined the characteristics of feedbacks used by students. To do this study, two sixth grade classes selected from an elementary school in Seoul participated in the current study; one class for a treatment group applying mathematical communication-centered teaching using peer feedback, and the other for a comparison group applying traditional teaching using teacher-centered communication. The results of this study showed the fact that a treatment group of mathematical communication-centered teaching applying peer feedback scored statistically higher than a comparison group applying teacher-centered communication with respect to both students' mathematical achievement and disposition. Especially, this communication-centered teaching program focused on peer feedback was more effective to middle or lower level students than higher level students. In addition, mathematical communication-centered teaching applying peer feedbacks helps students reflect their own thinking process about problem solving, and students experienced the improvement of their confidence about mathematics from opportunities to provide peers with feedbacks. Finally, the present study suggests the important role of communication in mathematics learning, particularly student-to-student feedbacks rather than teacher-to-students feedbacks. That is to say, students need to have many opportunities to represent their own mathematical thinking processes using mathematical language.

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    Beyond adaptation: Transforming pedagogies of teaching elementary mathematics methods course in the online environment (온라인 환경에서 초등 수학 방법론 수업의 교수법 변화)

    • Kwon, Minsung;Yeo, Sheunghyun
      • The Mathematical Education
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      • v.61 no.4
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      • pp.521-537
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      • 2022
    • The unprecedented COVID-19 pandemic has disrupted, interrupted, and changed the way we normally prepare our teacher candidates in teacher preparation programs. In this paper, we, two mathematics teacher educators (MTEs), reflect our own experiences in appropriating, transforming, reconstructing, and modifying our pedagogies of teacher education in making a transition from face-to-face to online environment during the COVID-19 pandemic. Using a collaborative self-study, we discussed issues, challenges, changes, opportunities, and innovations of teaching an elementary mathematics methods course in the online environment. Using a constant comparison method, we explored the following three themes: (1) using virtual manipulatives; (2) creating collaborative, interactive, and shared learning experiences for preservice teachers; and (3) making preservice teachers engaged in student thinking. These findings indicated that online teaching requires transformative knowledge for teacher educators. Transferring face-to-face to online is not a simple matter of putting the existing content to online; it should focus on pedagogical improvement in teaching mathematics rather than technology's sake or how it can be repurposed in a new online environment in a way that students' learning is optimized. The findings of this study provide implications for unpacking MTEs' technological pedagogical content knowledge (TPACK), creating collaborative learning experiences for preservice teachers, and designing a collaborative self-study between MTEs engaged in the community of professional learning.

    Assessment Study on Educational Programs for the Gifted Students in Mathematics (영재학급에서의 수학영재프로그램 평가에 관한 연구)

    • Kim, Jung-Hyun;Whang, Woo-Hyung
      • Communications of Mathematical Education
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      • v.24 no.1
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      • pp.235-257
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      • 2010
    • Contemporary belief is that the creative talented can create new knowledge and lead national development, so lots of countries in the world have interest in Gifted Education. As we well know, U.S.A., England, Russia, Germany, Australia, Israel, and Singapore enforce related laws in Gifted Education to offer Gifted Classes, and our government has also created an Improvement Act in January, 2000 and Enforcement Ordinance for Gifted Improvement Act was also announced in April, 2002. Through this initiation Gifted Education can be possible. Enforcement Ordinance was revised in October, 2008. The main purpose of this revision was to expand the opportunity of Gifted Education to students with special education needs. One of these programs is, the opportunity of Gifted Education to be offered to lots of the Gifted by establishing Special Classes at each school. Also, it is important that the quality of Gifted Education should be combined with the expansion of opportunity for the Gifted. Social opinion is that it will be reckless only to expand the opportunity for the Gifted Education, therefore, assessment on the Teaching and Learning Program for the Gifted is indispensible. In this study, 3 middle schools were selected for the Teaching and Learning Programs in mathematics. Each 1st Grade was reviewed and analyzed through comparative tables between Regular and Gifted Education Programs. Also reviewed was the content of what should be taught, and programs were evaluated on assessment standards which were revised and modified from the present teaching and learning programs in mathematics. Below, research issues were set up to assess the formation of content areas and appropriateness for Teaching and Learning Programs for the Gifted in mathematics. A. Is the formation of special class content areas complying with the 7th national curriculum? 1. Which content areas of regular curriculum is applied in this program? 2. Among Enrichment and Selection in Curriculum for the Gifted, which one is applied in this programs? 3. Are the content areas organized and performed properly? B. Are the Programs for the Gifted appropriate? 1. Are the Educational goals of the Programs aligned with that of Gifted Education in mathematics? 2. Does the content of each program reflect characteristics of mathematical Gifted students and express their mathematical talents? 3. Are Teaching and Learning models and methods diverse enough to express their talents? 4. Can the assessment on each program reflect the Learning goals and content, and enhance Gifted students' thinking ability? The conclusions are as follows: First, the best contents to be taught to the mathematical Gifted were found to be the Numeration, Arithmetic, Geometry, Measurement, Probability, Statistics, Letter and Expression. Also, Enrichment area and Selection area within the curriculum for the Gifted were offered in many ways so that their Giftedness could be fully enhanced. Second, the educational goals of Teaching and Learning Programs for the mathematical Gifted students were in accordance with the directions of mathematical education and philosophy. Also, it reflected that their research ability was successful in reaching the educational goals of improving creativity, thinking ability, problem-solving ability, all of which are required in the set curriculum. In order to accomplish the goals, visualization, symbolization, phasing and exploring strategies were used effectively. Many different of lecturing types, cooperative learning, discovery learning were applied to accomplish the Teaching and Learning model goals. For Teaching and Learning activities, various strategies and models were used to express the students' talents. These activities included experiments, exploration, application, estimation, guess, discussion (conjecture and refutation) reconsideration and so on. There were no mention to the students about evaluation and paper exams. While the program activities were being performed, educational goals and assessment methods were reflected, that is, products, performance assessment, and portfolio were mainly used rather than just paper assessment.


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