• Title/Summary/Keyword: mathematics learner

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The Effects of Leaner-Centered Mathematical Instructions on Students' Reasoning Ability and Achievement (학습자 중심 수학 수업이 학생의 추론 능력과 학업성취도에 미치는 영향: 초등학교 4학년 분수 및 다각형 단원을 중심으로)

  • Cha, So-Jeong;Kim, Jinho
    • Education of Primary School Mathematics
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    • v.24 no.1
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    • pp.43-69
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    • 2021
  • The purpose of this study is to confirm the influences of learner-centered instruction on learners' achievement and reason ability. In order to accomplish them, the fraction unit and the polygonal unit in the fourth grade were implemented with teaching methods and materials suitable for learner-centered mathematics instruction. Some conclusions could be drawn from the results as follows: First, learner-centered mathematics instruction has a more positive effect on learning of learned knowledge and generating unlearned knowledge in the experimental period than teacher-centered instructions. Second, learner-centered instruction makes an influence of low learning ability on getting achievement positively. Third, as the experimental treatment is repeated, learner-centered instruction has a positive effect on students' reasoning ability. The reasoning ability of students showed a difference in the comparison between the experimental group and the comparative group, and within the experimental group, there was a positive effect of the extension of the positive reasoning ability. Fourth, it can be estimated that the development of students' reasoning ability interchangeably affected their generation test results.

Issues Related to the Application of the 7th National Mathematics Curriculum and the 2005 College Entrance System : Critical Considerations for the Recent High School Mathematics Education in Korea (제 7차 고등학교 수학과 교육과정 적용의 쟁점과 개선방향 - 2005학년도 대학입학전형제도와 관련하여 -)

  • 장경윤
    • School Mathematics
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    • v.5 no.1
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    • pp.27-42
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    • 2003
  • The current 7th National Mathematics Curriculum had been developed as a learner-centered curriculum and begun to apply to high school since 2002. This paper discusses issues related to the high school mathematics curriculum application into high school. The mathematics curriculum for grades 11 and 12 was developed primarily as a learner-centered one to provide five elective courses according to the needs of students based on their future occupation and attitudes. Discussion starts with the differences of the five elective courses: the three of them have dependent and sequential structure and the two are totally different with regards to their levels of difficulty and the content they span. It is claimed that the frameworks of the 2005 National Ability Test for the College Entrance and the minimal enrollment requirements of several influential colleges' admission policy make the high school mathematics education very rigid, unflexible, and anti-educational. Several suggestions to recover and imp-rove the high school mathematics education and the spirit of the 7th curriculum are presented.

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A Study on the Effects of Self-concept, Attitude and Learning habit on Academic Achievement - Focused on 5th grade of elementary school students- (자아개념과 태도 및 학습습관이 수학 학업성적에 미치는 영향 -초등학교 5학년을 대상으로-)

  • Park, Su-Hee;Ro, Young-Soon
    • Journal of the Korean School Mathematics Society
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    • v.14 no.2
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    • pp.199-213
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    • 2011
  • The factors contributing to learning can be broadly classified into four different groups; Learner's characteristic variable, Instructor's characteristic variable, Learning task characteristic variable and environmental characteristic variable. And the first thing we need to do here is understanding of learner's characteristics among those factors in order to devise a plan for education. Accordingly, the purpose of this study is to find out what impact the affective traits (self-concept learning habits learning attitude), one of the learner's features, have on the mathematics-learning achievement and to seek for a good teaching method with reference to elementary school students' learning accomplishments and attitudes. For this, a questionnaire survey was conducted of 78 students of two fifth-grade classes in an elementary school located in South Chungcheong Province in this study. In consequence, it has been shown that the mathematics-learning achievement has the greatest relevance to the self-concept in connection with mathematics followed by the self-concept in connection with learning, the learning habits relating to mathematics, the attitude towards mathematics, the learning habits concerning studies and the attitude towards learning.

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Effects of learner-centered mathematical instruction perceived by middle school students on math self-efficacy and class engagement: Multi-group analysis based on achievement level (중학생이 인식한 학습자 중심 수학수업이 수학자기효능감과 수업참여에 미치는 영향: 성취수준에 따른 다집단 분석)

  • Song, Hyo Seob;Jung, Hee Sun
    • The Mathematical Education
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    • v.60 no.4
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    • pp.493-508
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    • 2021
  • This study aims to examine the effects of learner-centered mathematical instruction perceived by middle school students such as discussion learning, self-directed learning, and cooperative learning on their math self-efficacy and engagement in mathematics class. Moreover, it attempts to verify if there are differences in the mean of latent variables and effect among groups divided based on achievement level. Research results are as follows. First, discussion learning did not have a direct effect on students' engagement in mathematics class, but still created an indirect effect on it through math self-efficacy. Self-directed learning and cooperative learning created a direct effect on engagement in mathematics class as well as an indirect effect through self-efficacy on mathematics. Second, high-achievement group had a higher perception of discussion learning, self-directed learning, and cooperative learning than a low-achievement group, and showed a higher level of math self-efficacy and engagement in mathematics class. Third, there were significant differences among groups, in the effect of discussion learning on self-efficacy in mathematics, effect of self-directed learning on self-efficacy in mathematics, and effect of math self-efficacy on engagement in mathematics class. Thus, this study offers meaningful implications for the role of math teachers as assistants in learning for learner-centered math classes.

A Study of Applying Jigsaw Model to Applied Mathematics (과제분담 협동학습을 응용수학에 적용한 사례 연구)

  • Nam, Hyewon
    • Journal of Engineering Education Research
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    • v.22 no.5
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    • pp.13-19
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    • 2019
  • It is important to encourage students who are having difficulty learning mathematics and majors due to lack of basic knowledge, and encourage them to improve their academic performance by focusing on and participating in class. The purpose of this study is to confirm the applicability of the Jigsaw Method by analyzing the change of the learner's academic achievement and the attitude of the learner's mathematics by applying the Jigsaw Model. During the four weeks, the Jigsaw Model was applied to 30 experimental students and the instructor-led lectures were given to 36 students in the comparative group. As a result of the study, it was confirmed that the average of the experimental groups applying the Jigsaw model was higher than the average of the comparative group in the lecture class. The results of the survey showed that the Jigsaw Model increased class concentration and participation, helped self - directed learning, and had high learning satisfaction.

Elementary school teachers' perceptions and demands on the 2015 Revised Mathematics Curriculum (2015 개정 수학과 교육과정에 대한 초등학교 교사들의 인식 및 요구 분석)

  • Kwon, Jeom Rae
    • The Mathematical Education
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    • v.56 no.2
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    • pp.213-234
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    • 2017
  • The purpose of this study is to examine the perceptions and needs of the 2015 revised curriculum for elementary school teachers and to draw implications for the application of the 2015 revised mathematics curriculum. For this, the major changes in the 2015 revised mathematics curriculum were examined. Major changes in the 2015 revised mathematics curriculum are as follows: 1) Introduce and emphasize mathematical competencies, 2) Restructure the content system, 3) Reduce mathematics contents to teach, 4) Emphasize the learner's affective domain, 5) Emphasize the use of technology, 6) Improve teaching and learning methods and evaluation methods. Also, a survey was conducted for elementary school teachers to analyze the perceptions and demands of the 2015 Revised Mathematics Curriculum. The contents of the survey are consisted of contents of the teachers' awareness of the main changes of the 2015 Revised Curriculum and their demands to implement the 2015 Revised Curriculum in schools. Finally, conclusions and suggestions were drawn based on the survey results. The conclusions and suggestions are as follows: 1) there is a lack of teachers' awareness of the 2015 Revised Curriculum, 2) Support for mathematics curriculum competencies is needed, 3) A variety of teaching and learning materials are needed for emphasizing the learner's affective domain, using the technology, and improving teaching and learning methods and evaluation methods.

A Teacher's Cognizance Change on Learner-Centered Instruction, Who Implement it (학습자 중심 수학 수업을 한 한 초등교사의 학습자 중심 수업에 대한 인식 변화)

  • Kim, Jin-Ho;Lee, So-Min
    • School Mathematics
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    • v.10 no.1
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    • pp.105-121
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    • 2008
  • Even though the 7th national curriculum based on learner-centered instruction as fundamental spirit has been operated for 10 years or so, still the instruction style nation widely implemented in current classrooms is closer traditional style than it. It is a big challenge for a teacher who is used to a traditional one to try to fully make learner-centered instruction. The paper describes the teacher's cognizance change on it with the point of views of children's ability to construct knowledge, instructional materials, questioning techniques, and children's achievements.

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An Analysis of Elementary School Teachers' Educational Needs on Designing Interactions for Online Mathematics Lessons (온라인 수학 수업에서 상호작용 설계에 대한 초등교사의 교육요구도 분석)

  • Cho, Mi Kyung;Kim, Seyoung
    • Education of Primary School Mathematics
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    • v.25 no.1
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    • pp.19-41
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    • 2022
  • Online classes have become one of the general teaching and learning method in elementary education, and elementary school teachers are essentially required to design and implement online math classes that reflect the characteristics of online environment and the specificity of the subject. The qualitative improvement of online mathematics lessons can start with examining what difficulties teachers actually have in enacting the online lessons, and this study focused on their educational needs by examining the degree to which elementary school teachers perceive and implement in terms of designing online interactions. The result showed that teacher education on Learner-Content Interaction (LC) and Learner-Learner Interaction (LL) was necessary for elementary school teachers designing online mathematics lessons, and the educational needs of detailed items of interactions were confirmed. Furthermore, it was found that there was a difference in educational needs for the types of online interactions according to the career life cycle of elementary school teachers. The instructional design strategies for online interactions in online mathematics lessons and implications for teacher education necessary for elementary school teachers were derived from the result.

Principles of Learning and the Mathematics Curriculum

  • Ediger, Marlow
    • The Mathematical Education
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    • v.23 no.2
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    • pp.13-15
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    • 1985
  • There are selected principles of learning which need adequate emphasis in the mathematics curriculum. These include: 1. Pupils perceiving purpose in learning. 2. Learners being involved in the solving of problems. 3. Meaningful learning experiences being inherent in the mathematics curriculum. 4. Provision being made to guide each learner in achieving optimal gains in ongoing study.

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Effects of Mathematical Instructions Based on Constructivism on Learners' Reasoning Ability - With Focus on the Area of Multiplication for 2nd Graders - (구성주의 수학 수업이 추론능력에 미치는 영향 - 초등학교 2학년 곱셈을 중심으로 -)

  • Jung, Hyunsil;Kim, Jinho
    • Journal of the Korean School Mathematics Society
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    • v.16 no.1
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    • pp.31-61
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    • 2013
  • The purpose of this study is to confirm constructivists' assumption that when a little low level learners are taken in learner-centered instruction based on a constructivism they can also construct knowledge by themselves. To achieve this purpose, the researchers compare the effects of learner-centered instruction based on the constructivism and teacher-centered instruction based on the objective epistemology where second graders learn multiplication facts through the each treatment on learners' reasoning ability and achievement. Some conclusions are drawn from results as follows. First, learner-centered instruction based on a constructivism has significant effect on learners' reasoning ability. Second, learner-centered instruction has slightly positive effect on learners' deductive reasoning ability. Third, learner-centered instruction has more an positive influence on understanding concepts and principles of not-presented mathematical knowledge than teacher-centered instruction when implementing it with a little low level learners.

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