• Title/Summary/Keyword: the Improvement of Teaching Mathematics

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Theoretical Benefits and Research Findings Underlying the Use of Microcomputer-Based Laboratory in Science Teaching

  • Han, Hyo-Soon
    • Journal of The Korean Association For Science Education
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    • v.22 no.5
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    • pp.957-969
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    • 2002
  • Theoretical benefits and research findings on the use of Microcomputer-based Laboratory (MBL) are considered for using MBL in a way that will be of benefit to students and teachers, and discussed as a whole for further synthesis, including the formulation of a research agenda for future consensus-based action. Based on the findings obtained from a comprehensive review of the literature, using a systematic approach, the uses of MBL were compared and contrasted for advancing understanding of the teaching and learning processes in science and mathematics. A number of benefits were proposed by MBL developers but not investigated by educational researchers. A few research studies considered the following practical aspects raised by classroom science teachers: technical problems of MBL equipment; inaccuracy or incompleteness of presentation; efficient ways for handling class time with MBL instruction; and development of MBL curriculum materials for their own instruction. This lack of research related to the use of MBL in science classrooms resulted in educational research that was neither respected nor utilized by science teachers. Setting a research agenda based on the theoretical benefits and research findings is necessary for the effective use of MBL in science classrooms can help to maximize the prospects for successful school improvement projects while minimizing the innovation-related frustrations of individuals.

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 Study on Effectiveness of STEM Integration Education Using Educational Robot (교육용 로봇을 활용한 STEM 통합교육의 효과성 연구)

  • Song, Jeong-Beom;Shin, Soo-Bum;Lee, Tae-Wuk
    • Journal of the Korea Society of Computer and Information
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    • v.15 no.6
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    • pp.81-89
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    • 2010
  • The purpose of this research is to verify the influence of STEM integrate education using educational robots on improvement of the level of attitude towards Mathematics. The following hypothesis was formulated in order to achieve this purpose: There will be a meaningful difference in the level of attitude towards Mathematics between elementary school students educated by STEM integrated education with robots and by the traditional method of teaching Mathematics. To prove this hypothesis, 56 of first grade students were tested under the nonequivalent control group in the pretest-posttest designs. As a result of the study, it is showed that STEM integrated education has a positive effect on promoting the level of elementary school students' attitude towards Mathematics. Therefore, we need the instructional activities which can combine the knowledge gained from a variety of curriculum with activities by using educational robots.

Review of the Unit on the Mixed Calculations in the 4th Grade (초등학교 4학년 혼합계산 지도에 대한 고찰)

  • Ko, Jung Hwa
    • Journal of Educational Research in Mathematics
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    • v.22 no.4
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    • pp.477-494
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    • 2012
  • This study is to review the content organization and developmental ways of the unit on the mixed calculations and explore the alternatives on the basis of students' responsive examples and error patterns with relation to the mixed calculations, mnemonics of PEMDAS and historical context with relation to the order of operations. Then I analyzed the textbook and manual for teachers of the unit of mixed calculations of fourth grade and improvement about teaching the mixed calculations. First, I pointed out illogical connection between practical problem and rules of order of operations. Second, I suggested constructing a textbook by considering conventional character of order of operations. Third, I pointed out the importance of structural understanding of an expression of mixed calculations and various strategies with relation to teaching and learning. This study is suggestive for textbook development of the mixed calculations.

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The Effects on Problem Solving of Linear Function Using Excel (엑셀의 활용이 일차함수 문제해결에 미치는 효과)

  • Lee, Kwang-Sang;Cho, Min-Shik;Lew, Hee-Chan
    • School Mathematics
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    • v.8 no.3
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    • pp.265-290
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    • 2006
  • The purpose of this study is to search an effective teaching & learning program by examining how much does Excel affect on problem solving of linear function. This study was based on qualitative case study. Teaching experiment was performed for seven periods with five students in 8th graders. Pre and posts tests were attempted to analyze the changes of student's ability on problem solving of linear function. The analysis of tests were performed in category with correct process-object perspective, near process-object perspective, incorrect process-object perspective. According to this study, the subjects showed an improvement on problem solving perspective of linear function. This meant that lessons using Excel had influenced on the problem solving of linear function. We noticed that exploring the learning environment with Excel could supplement paper-and-pencil environment. We believed that Excel with an intuitive dynamic and explorative skills can play a role in scaffolding to support problem solving of linear function.

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A Study on the Teaching Method for Activities Justify of Paper Folding by Given Size Colored Paper (최대 넓이의 정다각형 종이접기 정당화 활동을 위한 영재학급에서의 교수·학습 방법 개선에 관한 연구)

  • Lee, Seung Hwan;Song, Sang Hun
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.4
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    • pp.695-715
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    • 2016
  • This study is on the teaching method for the students who belong to the same school (one, the gifted class, passed gifted education of Science High school ), 1-1, face-to-face learning (two, good students in regular classroom) with a teacher, paired learning teams (4 people, gifted classes), and group lessons (20 people, gifted classes) and using the justification analysis framework tool(PIRSO) of Kim(2010) analyzes the justification element of the students in the group classes regular polygons paper was to explore ways to improve the justification of the folding maps activities. As a result, the width of the largest polygon difficulty level appropriate to the class for gifted elementary school classes but the individual learning style of the 1-1 face-to-face with a teacher or discussion with colleagues and cooperative approach is justified, rather than the material of the study of origami activities it turned out to be more effective in improving the level of justification. Unlike the individual learning activities, the exploration for class is the need to strain in parallel to the student is selected as needed, rather than serial manner was confirmed that it is necessary to clearly present problems even from the beginning. Development of teaching through the implications obtained from this method of reconstruction activities and proposed improvement measures for questioning.

Development of Preservice Mathematics Teacher' Assessment Literacy Using PISA Items (PISA 문항을 활용한 예비 수학교사의 평가 전문성 신장 방안)

  • Lee, Minhee;Rim, Haemee
    • Journal of Educational Research in Mathematics
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    • v.25 no.2
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    • pp.157-175
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    • 2015
  • This study was conducted with the aim to develop and improve the assessment literacy of teachers which enables it to develop and utilize the assessment items using a wide range of contexts on the basis of an understanding of math contents and mathematical process specified in the math curriculum and to analyze the results in an effective way. To analyze the changes in the development and improvement of the assessment literacy of preservice math teachers, the author of this study, using PISA items and assessment framework, analyzed the changes through the 1st and 2nd development of assessment items. The results showed the assessment literacy of preservice math teachers and their ability have been improved, implying that there is the necessity to develop a wide range of programs to improve the assessment literacy of preservice math teachers and provide such programs on a regular basis, which will facilitate effective math teaching and learning.

A Comparative Analysis of pi in Elementary School Mathematics Textbooks (초등학교 수학 교과서에 제시된 원주율의 지도방안 비교·분석)

  • Choi, Eunah;Kang, Hyangim
    • Communications of Mathematical Education
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    • v.36 no.4
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    • pp.589-610
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    • 2022
  • This study aimed to derive pedagogical implications by comparing and analyzing how the concept of pi is taught in 10 different elementary mathematics textbooks, which are scheduled to be applied from 2023. We developed a textbook analysis framework by previous studies on the concept of pi and the teaching of pi, and analyzed in terms of three instructional elements (i.e. inferring conceptsof pi, understanding properties of pi, and applying relationships). We derived the need to emphasize various contexts for estimation of pi, presentation of problem situations that provide motivation to actually measure diameters and circumferences, providing an opportunity to explore the properties of measurement, and an experience the flexibility of selecting an approximate value of pi. Based on the above conclusions and pedagogical implications through the research results., we suggested ways to teach the concept of pi in elementary mathematics and improvement points for developing textbooks focusing on the context of introduction of pi and the use of technological tools.

A case study on differentiated curriculum for the university calculus and the curriculum development using a numerical software (대학 미적분학 수준별 교육 사례와 수치연산 소프트웨어를 활용한 교육과정 개발 연구)

  • Choi, Enn-Jeong
    • The Mathematical Education
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    • v.48 no.3
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    • pp.213-234
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    • 2009
  • College students have a diverse educational background with the recent multiplicity in university admissions standards and procedures. As a result, their mathematical preparation and performance varies widely. Teaching calculus to such a diverse student group is a demanding task. Differentiated curriculum has been conducted for the university calculus course in Yonsei university for the past five years. A case study on the differentiated curriculum in Yonsei university is presented for the curriculum improvement. With its ideal purpose, the differentiated curriculum has created issues and problems in practice. As an alternative to the ideal differentiated curriculum, this study shows that a computer-based approach using a numerical software could give aids to overcoming the difficulty of inadequately prepared students in the learning process while mathematically sophisticated students could keep interested in the course. This study also presents the useful topics in calculus that can be implemented for computer-based calculus education and provides guidelines for the effective usage.

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The change of mathematical representations and behavioral characteristics in the class using manipulative materials - Focused on teaching regular polytopes - (교구를 활용한 수업에서의 수학적 표현과 행동 특성의 변화 - 정다면체 지도를 중심으로 -)

  • Choi, Jeong-Seon;Park, Hye-Sook
    • The Mathematical Education
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    • v.48 no.3
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    • pp.303-328
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    • 2009
  • In this study, we developed the teaching methods using manipulative materials to teach regular polytopes, and applied these to first-year student of middle school who is attending the extra math class. In that class, we focused on the change of the mathematical representations -especially verval, visual and symbolic representations- and mathematical behavioral. By analyzing characterstics the students' work sheets, we obtained affirmative results as follows. First, manipulative materials played an important role on drawing a development figure of regular polyhtopes describing the verval representation definition of regular polytopes. Second, classes utilizing manipulative materials changed students verbalism level of representations the definition of regular polytopes. For example, in the first class about 60% of students are in the $0{\sim}2$ vervalism level, but in the third class, about 65% of students are in the $6{\sim}7$ level. Third, classes utilizing manipulative materials improved visual representation about development figure. After experiences making several development figures about regular octahedron directly, and discussion, students found out key points to be considered for draws development figure and this helped to draw development figures about other regular polytopes. Fourth, students were unaccustomed to make symbolic representations of regular polytopes. But, they obtained same improvement in symbolic representations, so in fifth the class some students try to make symbol about something in common of whole regular polytopes. Fifth, after the classes, we have significant differences in the students, especially behavioral characteristics in II items such as mind that want to study own fitness, interest, attachment, spirit of inquiry, continuously mathematics posthumously. This means that classes using manipulative materials. Specially, 'mind that want to study mathematics continuously' showed the biggest difference, and it may give positive influence to inculcates mathematics studying volition while suitable practical use of manipulative materials. To conclude, classes using manipulative materials may help students enhance the verbal, visual representation, and gestates symbol representation. Also, the class using manipulative materials may give positive influence in some part of mathematical behavioral characteristic. Therefore, if we use manipulative materials properly in the class, we have more positive effects on the students cognitive perspect and behavioral cteristics.

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