• Title/Summary/Keyword: teaching-learning in mathematics

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On Developments of Teaching-Learning Contents and Constructivist Teaching Methods Using Mobile Applications Based on Augmented Reality in Mathematics Education (증강현실 기반 모바일 앱을 활용한 수학 교수·학습 콘텐츠 개발과 구성주의적 수업방안)

  • Kim, Byung Hak;Song, Jinsu;Park, Ye Eun;Jang, Yo Han;Jeong, Young Hun;Ahn, Jin Hee;Kim, Jun Hyuk;Go, Eunryeong;Jang, In Kyung
    • Communications of Mathematical Education
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    • v.33 no.3
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    • pp.207-229
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    • 2019
  • In the era of the Fourth Industrial Revolution, various attempts have been made to incorporate ICT technology into mathematics teaching and learning, and the necessity and efficiency of classroom instruction using flipped learning, virtual reality and augmented reality have attracted attention. This leads to an increase in demand for instructional contents and their use in education. Therefore, there is a growing need for the development of instructional contents that can be applied in the field and the study of teaching methods. In this point of view, this research classifies the types of teaching-learning, presents the flipped learning instruction and mathematics contents by teaching-learning types using constructivist mathematics education principles and augmented reality-based mobile applications. These methods and lesson plans can provide a useful framework for teaching-learning in mathematics education.

Conceptions in Teaching and Learning of Secondary Pre-service Teachers (중등 수학 예비교사의 교수-학습 개념 연구)

  • Kwon, Na Young
    • Journal of the Korean School Mathematics Society
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    • v.17 no.3
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    • pp.321-335
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    • 2014
  • This study aimed to investigate beliefs of secondary pre-service teachers in mathematics. In particular, conceptions of teaching and learning were examined, For the purpose of this study, using an instrument, Teaching and Learning Conceptions Questionnaire, developed by Chan & Elliot(2004), a survey was conducted for 86 secondary mathematics pre-service teachers in Incheon area. The results showed that the mathematics pre-service teachers strongly agreed with the constructivist perspectives. In addition, compared to the juniors, the seniors responded more positive in the questions relative to the traditionalist view and the male students agreed more with the traditional conceptions, as comparing to the female students in this study. This study had limitations on the extent of the research site and participant. However, it would provide foundational information about pre-service teachers for teacher educators.

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Consideration of Mathematical Modeling as a Problem-based Learning Method (문제 중심 학습의 방법으로서 수학적 모델링에 대한 고찰)

  • Kim, Sun-Hee
    • School Mathematics
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    • v.7 no.3
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    • pp.303-318
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    • 2005
  • If students can use mathematics to solve their problems and learn the mathematical knowledge through it, they may think mathematics useful and valuable. This study is for the teaching through problem solving in mathematics education, which I consider in terms of the problem-based learning and mathematical modeling. 1 think mathematical modeling is applied to teaching mathematics as a problem-based learning. So I developed the teaching model, and showed the example that students learn the formal and hierarchic mathematics through mathematical modeling.

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The Effect of CAI Program on the Learning Achievement in Mathematics -Focusing on the lesson statistics in the 3rd grade of middle school- (CAI 프로그램의 활용이 학업성취에 미치는 영향 - 중3 통계단원을 중심으로 -)

  • 이재국
    • Journal of the Korean School Mathematics Society
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    • v.3 no.2
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    • pp.123-131
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    • 2000
  • In order to educate future leaders of the new age, we should help students to increase their basic knowledge, thinking and problem solving ability. It is necessary that we should use multi-media, computer as well as old teaching-learning material to improve students' basic knowledge and to motivate their interest in mathematics in the small-sized Middle School situated on the agricultural and fishery village. In solving this problem, it is ultimately necessary that we should utilize CAI program on the learning achievement in mathematics for the students to understand basic concept, principle, law and to promote teaching-learning process considered on individual different abilities. Therefore, this study is on the effect of students' interest and learning achievement in mathematics when we develop CAI program focusing on the lesson statistics in the 3rd Grade Middle School Mathematics Textbook and explain the concept and principle of statistics through using exact and various techniques of computers

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Educational Using A Technology In The Education Of Future Mathematics Teachers (예비 수학 교사 교육에서 공학적 도구의 교육적 활용)

  • Kim, Nam-Hee
    • Journal of Educational Research in Mathematics
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    • v.21 no.4
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    • pp.345-359
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    • 2011
  • In this research, we designed an educational activities of exploring mathematics programs in a course of mathematics education in teacher's college. We divided future mathematics teachers into 8 groups and suggested 8 mathematics programs to them. Each group explored one mathematics program. We asked to future mathematics teachers exploring some cases that use effectively a mathematics program in the teaching of school mathematics. In the process of an exploring, we designed some activities of teaching and learning. We provided opportunities of long-term exploration, group learning, presentations, exercises, reflections to mathematics teachers. As a result, future mathematics teachers acquired basic knowledge on the usage of mathematics programs in school mathematics textbook. In addition, their capabilities that are needed to explore mathematics programs have been enhanced. Also they had learned the teacher's positive attitude through the activities of teaching and learning.

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A Study on Application of Teaching-Learning Program based on Constructivist Views for Mathematically gifted Students in Primary School (초등 영재 교육에서의 구성주의 교수.학습 모형 적용 연구 - 알고리즘 문제를 중심으로 -)

  • Choi, Keun-Bae;Kim, Hong-Seon
    • Communications of Mathematical Education
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    • v.21 no.2 s.30
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    • pp.153-176
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    • 2007
  • The purpose of this paper is to analyze teaching-learning program which can be applied to mathematically gifted students in primary school, Our program is based on constructivist views on teaching and learning of mathematics. Mainly, we study the algorithmic thinking of mathematically gifted students in primary school in connection with the network problems; Eulerian graph problem, the minimum connector problem, and the shortest path problem, The above 3-subjects are not familiar with primary school mathematics, so that we adapt teaching-learning model based on the social constructivism. To achieve the purpose of this study, seventeen students in primary school participated in the study, and video type(observation) and student's mathematical note were used for collecting data while the students studied. The results of our study were summarized as follows: First, network problems based on teaching-learning model of constructivist views help students learn the algorithmic thinking. Second, the teaching-learning model based on constructivist views gives an opportunity of various mathematical thinking experience. Finally, the teaching-learning model based on constructivist views needs more the ability of teacher's research and the time of teaching for students than an ordinary teaching-learning model.

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Development of Elementary Teachers' Mathematical Beliefs Scale: A Validity and Reliability Study (초등학교 교사의 수학적 신념 측정도구 개발: 타당성 및 신뢰성 분석)

  • Hwang, Sunghwan
    • Journal of Elementary Mathematics Education in Korea
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    • v.24 no.3
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    • pp.259-277
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    • 2020
  • The purpose of this study was to develop and validate a scale of Korean elementary teachers' mathematics beliefs. We examined 299 elementary teachers' mathematical beliefs using 30 items, out of which 12 items covered beliefs about the nature of mathematics and 18 items covered beliefs about mathematics teaching and learning. In the first stage, we performed exploratory factor analysis using 149 survey data to examine the factor structure. In the second stage, we performed confirmatory factor analysis using 150 survey data. Building upon previous studies, we examined the construct validity of three different models to find the best factor structure. The study results indicate that the four-factor model with 14 items provides the best fit for the data: transmissive view of mathematics, constructivist view of mathematics, transmissive view of teaching and learning, and constructivist view of teaching and learning. The findings of the study reveal that each factor has adequate internal consistency and reliability. These results confirm that the beliefs scale is a reliable and valid measurement tool to measure Korean elementary teachers' mathematical beliefs. The implications of the study are discussed.

The Effects of Lessons Using Reading Materials on Mathematical Communication, Disposition and Attitudes (읽기 자료를 활용한 수업에서 나타난 수학적 의사소통과 수학적 성향 및 태도 분석)

  • Kim, Su-Mi;Shin, In-Sun
    • The Mathematical Education
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    • v.49 no.4
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    • pp.463-488
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    • 2010
  • The purpose of this study was providing implications in teaching and learning activities to vitalize mathematical communication and to raise positive attitudes about mathematics. We analyzed mathematical communication, disposition and attitudes of the students who had lower mathematical achievement rather than that of Korean language in class using reading materials and strategies. We found that teaching-learning activities using the reading materials and strategies let the low achievers in mathematics communicate more about mathematical notions and problem-solving process actively. The activities triggered interests and attention of mathematics and self-study. In addition, the lessons with reading materials and strategies aroused confidence, will and responsibility to mathematics learning to the students. They made the learners notice mathematics' values and roles and gave the opportunity of reflection about students' learning processes. As a result, the teaching-learning using reading materials and strategies should be developed and accomplished actively in classroom to turn mathematical inclination and attitudes of the students who had had negative inclination and attitudes to mathematics into those of positive and to vitalize mathematical communication to the lower achievers in mathematics.

A Study on the Process of Teaching.Learning Materials Development According to the Level in the Figurate Number Tasks for Elementary Math Gifted Students (초등 수학 영재를 위한 도형수 과제의 수준별 교수.학습 자료 개발 절차와 방법에 관한 연)

  • Kim, Yang-Gwon;Song, Sang-Hun
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.745-768
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    • 2010
  • The purpose of this study at gifted students' solving ability of the given study task by using all knowledge and tools which encompass mathematical contents and curriculums, and developing the teaching learning materials of gifted students in accordance with their level which tan enhance their mathematical thinking ability and develop creative idea. With these considerations in mind, this paper sought for the standard and procedures of teaching learning materials development according to the levels for the education of the mathematically gifted students. presented the procedure model of material development, produced teaching learning methods according to levels in the task of figurate number, and developed prototypes and examples of teaching learning materials for the mathematically gifted students. Based on the prototype of teaching learning materials for the gifted students in mathematics in accordance with their level, this research developed the materials for students and materials for teachers, and performed the modification and complement of material through the field application and verification. It confirmed various solving processes and mathematical thinking levels by analyzing the figurate number tasks. This result will contribute to solving the study task by using all knowledge and tools of mathematical contents and curriculums that encompass various mathematically gifted students, and provide the direction of the learning contents and teaching learning materials which can promote the development of mathematically gifted students.

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The Effects of Self-regulated Learning Strategies Using WEB on students′ Academic Achievements and Learning Attitudes in the Middle school Mathematics. -Focused on the Chapter ″Function″ of the First Grade- (중학교 수학에서 WEB을 이용한 자기주도적 학습이 학생들의 학업성취도 및 학습태도에 미치는 영향 - 1학년 함수 단원을 중심으로 -)

  • 이덕호;이관희
    • Journal of the Korean School Mathematics Society
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    • v.4 no.2
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    • pp.75-84
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    • 2001
  • The purpose of this research is to promote the academic achievement motivation and improve problem solving ability in Mathematics. In addition I hope to explore a new teaching method and facilitate students interest in mathmatics. If the teachers utilize an Internet Web Page and exchang information, the interaction activities will allow them to collect and analyse a variety of data. As this teaching method assists students motivation to get the effects of self-regulated learning strategies of students using the internet and their academic achievements and learning attitudes can be explored. The information will be gathered after the students participate in classes which were taught through the Edunet Homepage and the Department of Mathematics Homepage of KongJu National University. The Internet pages focused on the "Function" chapter of the first grade text for students attending middle school. The students were divided into two groups, experimental and comparative. Each group is composed of three levels, high, middle, and low. In the post experimental phase, two tests were administered which measured achievement ability and the learning attitude of the students. The results of the tests were then compared and analyzed. The results were as follows: First, the study demonstrated that self-regulated Learning Starategies towards Academic Achievements and Learning Attitudes were more effective than traditional teaching methods. These methods were significantly effective in the middle level and low level groups. The study demonstrated little to no improvement in the high level groups

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