• Title/Summary/Keyword: contents and methods in teaching and learning mathematics

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Rethinking the Direction of Open Education in Mathematics (수학과 열린 교육의 방향성 재고)

  • 임재훈
    • School Mathematics
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    • v.1 no.1
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    • pp.39-58
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    • 1999
  • Nowadays, open education is popular in Korea. Various open education methods such as open time, open space, open curriculum, team teaching, small group learning are actively introduced into mathematics education. Current 'open education in mathematics' in Korea can be characterized as the application general education reform movement (open education movement) to mathematics education. This movement is interested in teaching methods rather than contents. In this article, I discussed with the limits and the problems of this application and argued that not the method-centered open general education reform movement but the content-centered mathematics education's own reform movement is necessary for the true mathematics education reform.

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A perspective on the 'Differentiated Curriculum'based on the results of implementing current 'differentiated classes' in mathematics (현행 수준별 수업 분석에 기초한 수준별 교육과정의 성공을 위한 처방)

  • 황혜정
    • Journal of Educational Research in Mathematics
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    • v.8 no.1
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    • pp.183-197
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    • 1998
  • Many schools of the secondary level have been recently carrying out 'differentiated class'based on ability grouping between classed(DC). They are usually consisted of three levels; high level available to enriched course, middle level, and low level available to supplemental course. Phrhaps, almost all of the schools might nave executed DC before 2000 year. To do this, a lots of teachers have to develop differentiated teaching and learning materials for themselves. But, these mateirals are usually consisted of differentiated mathematics not on 'content'but on 'items'. So, for the successful 7th differentiated curriculum, the issues such as teaching and learning methods, materials, and evaluation system should be considered in depth focused on DC. .Decide issues related to DC(for example, mathematical contents, methods, activities, class speed,extra)based not on teachers or experts but on students. .Differentiate teaching and learning mateirals according to DC and develop the materials(including guidelines, supplementary books, multimedia, extra) based not on mathematical items but on mathematical contents. .Introduce new mathematical concepts or laws using not only not only definition and explanation but also concrete examples or problems. .Suggest differentiated diverse projects related to mathematical subjects suitable to enhance students` thinking ability to each class. .Have students to develop projects successfully by collecting, representing, analyzing, and interpreting data through communications in a cooperative learning environment.

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Mathematics teachers' knowledge and belief on the high school probability and statistics (수학교사의 확률과 통계에 대한 지식과 신념)

  • Kim, Won-Kyung;Moon, So-Young;Byun, Ji-Young
    • The Mathematical Education
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    • v.45 no.4 s.115
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    • pp.381-406
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    • 2006
  • This work aims to investigate mathematics teachers' knowledge and belief on the high school probability and statistics. For this aim, two research questions are estabilished as follows. (1) How is mathematics teachers' knowledge on the main contents of the high school probability and statistics in the 7th mathematics curriculum? (2) What is mathematics teachers' belief on the high school probability and statistics? Survey and interviews were carried out to answer the above research questions. Subjects of the survey were 2 7mathematics teachers who were answered to questionnaire. Among them, 3 volunteers were chosen by provinces for in-depth interview. Research findings in mathematics teacher's knowledge are as follows. Firstly, mathematics teachers do not have much of mathematical knowledge on the newly added and changed contents of the high school probability and statistics in the 7th mathematics curriculum. Secondly, mathematics teachers do not change their teaching-learning method for probability and statistics. Thirdly, many teachers think that the use of technology and reconstruction of the textbooks are required in teaching and learning of the high school probability and statistics. But, they stick on their own way. Research findings in mathematics teachers' belief are as follows. Firstly, many mathematics teachers view the nature of statistics as a branch of the applied mathematics and put the value of high school probability and statistics on the practical usefulness, Secondly, many mathematics teachers think that understanding concepts and improving problem solving ability are the best method of the teaching and learning. Thirdly, many mathematics teachers think that high school probability and statistics textbooks should cause motivations and interests in order not to give up studying probability and statistics. It is expected that the above findings can be used to change teachers' teaching and learning methods and to improve teachers training program.

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Effective Use of Teaching Aids According to Achievement Level of Mathematics in Elementary School (초등학교 수학과 성취기준에 따른 수업용 교구의 효과적인 활용 방안)

  • Ahn, Byoung Gon
    • Education of Primary School Mathematics
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    • v.21 no.1
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    • pp.39-53
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    • 2018
  • Most of the studies of mathematics so far have found positive changes in the effectiveness of the academic achievements of academic achievement, as well as positive changes in the effectiveness of academic achievement or attitudes or attitudes towards mathematics. The purpose of this study was to investigate the achievement criteria for the use of the teaching aids and to present the teaching aids and the methods for teaching the learning contents appropriate to the achievement standards. Specifically, it finds the achievement standard suitable for the learning contents instruction course of the textbooks of the elementary school 1st and 2nd graders, finds the available diocese in the standard diocese for the math class, and investigates the diocese in use in the present textbook.

A Study on Game Content Development Methodology for Mathematics Learning to Raise Mathematical Intuition: for Elementary Geometry Learning (수학적 직관을 키우는 게임 콘텐츠 개발 방법 연구 : 초등 기하 영역을 중심으로)

  • Kim, Yoseob;Woo, Tack;Joo, Heeyoung
    • Journal of Korea Game Society
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    • v.13 no.6
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    • pp.95-110
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    • 2013
  • Current up-to-date courses of study put emphasis on raising creative students. However, the cramming methods of teaching mathematics in the school seems far from the creativity and the number of students who feels mathematics difficult is increasing. To overcome this situation, the government proposed 'the mathematics education using storytelling', which leads to lots of developments of mathematics using serious game in many areas. However most of the current serious games couldn't do away with the deductive framework of mathematics, which makes it impossible to achieve the purpose of raising creative students. This is because existing mathematics serious games have not deeply contemplated many aspects such as the purpose and theories of teaching and teaching mathematics. Therefore, in order to overcome the limitations of cramming methods in existing mathematics educations, this research proposes the new method of developing serious game contents for elementary geometry that is useful to improve mathematical intuition, based on RME, the theory of teaching/learning mathematics.

Proposal of Electronic Engineering Exploration Learning Operation Using Computing Thinking Ability

  • LEE, Seung-Woo;LEE, Sangwon
    • International Journal of Advanced Culture Technology
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    • v.9 no.4
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    • pp.110-117
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    • 2021
  • The purpose of the study is to develop effective teaching methods to strengthen the major learning capabilities of electronic engineering learners through inquiry learning using computing thinking ability. To this end, first, in the electronic engineering curriculum, we performed teaching-learning through an inquiry and learning model related to mathematics, probability, and statistics under the theme of various majors in electronic engineering, focusing on understanding computing thinking skills. Second, an efficient electronic engineering subject inquiry class operation using computing thinking ability was conducted, and electronic engineering-linked education contents based on the components of computer thinking were presented. Third, by conducting a case study on inquiry-style teaching using computing thinking skills in the electronic engineering curriculum, we identified the validity of the teaching method to strengthen major competency. In order to prepare for the 4th Industrial Revolution, by implementing mathematics, probability, statistics-related linkage, and convergence education to foster convergent talent, we tried to present effective electronic engineering major competency enhancement measures and cope with innovative technological changes.

A Didactical Discussion on the teaching of variable concept in the [7-first] stage of the 7th Mathematics Curriculum (제 7차 수학과 교육과정 [7-가] 단계의 변수 개념 지도에 관한 교수학적 논의)

  • 김남희
    • Journal of Educational Research in Mathematics
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    • v.11 no.1
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    • pp.67-87
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    • 2001
  • Variable concept plays a crucial role in understanding not only algebra itself but also school mathematics which is algebra-oriented. It solves as an essential means in applying mathematics to the real world because il enables us to describe varying phenomena in the real world. In this study, we examined some matters related to the learning of variable concept in school mathematics. In Particular, we discussed on the teaching of variable concept in the [7-first] stage of the 7th Mathematics Curriculum. We analysed the textbooks in the [7-first] stage and attempted to explain concretely the contents and teaching methods of variable concept which be taught in school mathematics. After reconsidering the practices on variable concept teaching, we pointed out the problems of formalistic teaching method and then proposed the direction in which variable concept teaching should go.

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A Study on the Analysis for Problem-Posing Contents of Elementary School First and Second Grade Mathematics Textbooks by the 7th Curriculum and Investigation for Children's Disposition to Mathematical Problem-Posing (제7차 교육과정에 따른 초등학교 1, 2학년 수학 교재의 문제 만들기 내용 분석 및 학생들의 실태 조사)

  • 임문규
    • School Mathematics
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    • v.3 no.2
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    • pp.295-324
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    • 2001
  • Until now, There have been few studies to investigate a degree of abilities or interesting about mathematical problem-posing of first and second grades in elementary school. This is due to the fact that this students(1st and 2nd grades) have a limited amount of study time and their minds are not fully developed, and are lacking in their representation of ability to use the national language. This being the case, it is difficult to investigate their Mathematical problem-posing in a practical manner. However, our 7th elementary school Mathematics curriculum emphasizes the teaching and learning of Mathematical problem-posing from a basic level of first and second grade with emphasis on activity in teaming Mathematics. Through this study, having analysed the problems those children posed, I have found out they improved in numbers and correctness of their posed problems. And I too could found out showing to their much interesting and confidence to mathematical problem-posing and could confirmed for the children to admit themselves its merits through analyzing some questions to ask their opinions to it. I expect that this study can help to develop the teaching and learning materials for mathematical problem-posing and also to improve its methods of elementary school mathematics. The next study task is, I think, that it is necessary to accumulate the studies to investigate and analyse the practical learning activities of children for problem-posing contents of mathematics text books.

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The Study on the Investigation of the Evaluation Standards for Mathematics Teaching Focused on Teacher's Knowledge (수학 수업에서 요구되는 교사 지식에 대한 평가 기준 재탐색)

  • Hwang, Hye-Jeang
    • Communications of Mathematical Education
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    • v.26 no.1
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    • pp.109-135
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    • 2012
  • On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out the following research such as : 1) development of the standards on teaching evaluation between 2004 and 2006, and 2) investigation on the elements of Teacher Knowledge. The purposes of development of evaluation standards for mathematics teaching through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. In this study, the standards were revised and modified by analyzing the results of those studies focused on the knowledge of subject matter knowledge, knowledge of learners' understanding, teaching and learning methods and assessments, and teaching contexts. For this purpose, the part of subject matter knowledge was consisted of four evaluation domains such as the knowledge of curriculum reconstruction, knowledge of mathematical contents, methodological knowledge, mathematical value. The part of Learners' unders tanding included the evaluation domains such as students' intellectual and achievement level, students' misconception in math, students' motivation on learning, students' attitude on mathematics learning, and students' learning strategies. The part of teaching methods and evaluation was consisted of seventh evaluation domains such as instruction involving instructional goal and content, instruction involving problem-solving activity, instruction involving learners' achievement level and attitude, instruction on communication skills, planning of assessment method and procedure, development on assessment tool, application on assessment result in class were new established. Also, the part of teaching context was consisted of four evaluation domains such as application of instructional tools and materials, commercial manipulatives, environment of classroom including distribution and control of class group, atmosphere of classroom, management of teaching contexts including management of student. According to those evaluation domains of each teacher knowledge, elements on teaching evaluation focused on the teacher's knowledge were established using the instructional evaluation framework, which is developed in this study, including the four areas of obtaining, planning, acting, and reflecting.

A Survey on 2009 Revised Elementary Mathematics Textbooks -focusing to 'number and operation' of 3~4th grades- (2009 개정 초등수학 교과서 관련 조사 연구 -3~4학년군 '수와 연산' 영역을 중심으로-)

  • Lee, Dong Hwan;Kim, Sung Joon
    • East Asian mathematical journal
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    • v.31 no.2
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    • pp.275-299
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    • 2015
  • The purpose of this study is to provide an opportunity for better understanding and application of 2009 revised elementary school mathematics textbooks through survey data and focus group interview on structures of textbooks. First, We collect online survey results which 2333 elementary school teachers participated. Next, We interview focus group(8 teachers) about shapes of textbooks, quantity of learning contents, activities and problems for evaluation in the mathematics lessons. Storytelling is especially issued in the 2009 revised mathematics curriculum. We intensively discuss learning and teaching methods with application of storytelling textbooks; interests of students, role of storytelling textbooks etc. As results of analysis, the positive rate to use the 2009 revised textbooks is relatively high about shapes and activities of textbooks. But there is more considered about storytelling method. Storytelling may be positive on improvement of learning interests and participation of students. In order to develop these advantages, studies in relation of storytelling are more proceeded and teaching materials for teachers are required effectively in order to applicate to the elementary school.