• Title/Summary/Keyword: 수학적 문제해결력

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A Study on Development of the Instructional Materials for Elementary School Mathematics Based on STEAM Education (융합인재교육을 적용한 초등수학 수업자료 개발 연구)

  • Jung, Yun Hoe;Kim, Sung Joon
    • Journal of the Korean School Mathematics Society
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    • v.16 no.4
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    • pp.745-770
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    • 2013
  • In the knowledge-based society today, most knowledge is the integrated one which is difficult to be classified into subjects rather than the knowledge of a single subject. Thus, integrated thinking, which integrated knowledge is preferentially acquired first and then can be also associated with imagination and artistic sensitivity, is simultaneously required in order that we have a problem-solving capability in our daily life. STEAM education(science, technology, engineering, arts and mathematics) is one of the educational methods to improve this problem-solving capability as well as integrated thinking. This research developed materials for STEAM education which can be applied to the 6th grade curriculum of elementary school mathematics, then input it, and analyzed how it impacts with students' attitudes toward mathematics. Unit 3 'Prism' and Pyramid' were restructured and replaced by classes such as 'Spaghetti Project' or 'Paper Craft'. Unit 4 'Several Solid Figure' was taught as a class of 'EDUCUBE'. Unit 6 'Proportional Graph' was taught as a class of 'Creating my own bracelet'. After having this class, we found that mathematics class applied STEAM also has a positive effect on the mathematical attitude of students. Many students said that math is fun and gets more interesting after having math class applied STEAM and we come to know that they have positive awareness of mathematics.

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Development and Analysis of Effect for Problem Solving Model of Student-based (학생중심의 문제해결 모형 개발 및 효과 분석)

  • Jung, Chan Sik;Roh, Eun Hwan
    • Education of Primary School Mathematics
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    • v.17 no.1
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    • pp.57-75
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    • 2014
  • Problem Solving has been emphasized for recent decades, and many research case studies have been used to improve students' Problem Solving abilities. However, the gap of students' abilities can be easily shown after enrollment into school in spite of scholar's attempt to reduce students' level of differentiation. Besides, it is clear that teachers have been too readily assisting students' and not allowing them to acquire the process of Problem Solving, and this may be due to impatience. Therefore, students seem to show signs of the dependent tendency towards teachers and other materials. This tendency easily allows students' to depend on teaching resources without attempting any developmental mechanism of Problem Solving. The presupposition of this study is that every student must solve a problem without any assistance, and also this study is to provide new cognitive strategies for both teachers and students who want to solve their problems by themselves through the process of visible Problem Solving. After applying the student-based problem-solving model by this study, it was found to be effective. Therefore this will lead to the improvement of the Problem Solving and knowledge acquisition of students.

Design of education program for mathematical-gifted student and Teaching-learning strategy - Focusing on functions - (수학영재교육 프로그램의 설계 및 교수-학습전략 -함수중심으로-)

  • Lee Joong-Kwoen;Lee Jea-Hyun
    • Communications of Mathematical Education
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    • v.20 no.1 s.25
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    • pp.61-73
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    • 2006
  • Studying functions is the fundamental that makes people understand complicate social events by using mathematical symbol system. But there are not enough program design and Teaching-learning strategy for mathematical-gifted student. So this research aim to design education program and teaching-learning strategy in functions area for mathematical-gifted student. 1 use real life-related problems to make students develop their problem-solving skill. And in this research I encourage students to study functions by grouping, discussion and presentation for self-directed teaming.

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A Study on Student's Processes of Problem Solving Using Open-ended Geometric Problems in the Middle School (중학교 기하단원의 개방형문제에서 학생의 문제해결과정의 사고 특성에 관한 연구)

  • ChoiKoh, Sang-Sook;Noh, Ji-Yeon
    • Journal of the Korean School Mathematics Society
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    • v.10 no.3
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    • pp.303-322
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    • 2007
  • This study is to investigate student's processes of problem solving using open-ended Geometric problems to understand student's thinking and behavior. One 8th grader participated in performing her learning in 5 lessons for June in 2006. The result of the study was documented according to Polya's four problem solving stages as follows: First, the student tended to neglect the stage of "understanding" a problem in the beginning. However, the student was observed to make it simplify and relate to what she had teamed previously Second, "devising a plan" was not simply done. She attempted to solve the open-ended problems with more various ways and became to have the metacognitive knowledge, leading her to think back and correct her errors of solving a problem. Third, in process of "carrying out" the plan she controled her solving a problem to become a better solver based on failure of solving a problem. Fourth, she recognized the necessity of "looking back" stage through the open ended problems which led her to apply and generalize mathematical problems to the real life. In conclusion, it was found that the student enjoyed her solving with enthusiasm, building mathematical belief systems with challenging spirit and developing mathematical power.

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A Development and Implementation of an Integrated Curriculum for Gifted Students Based on ICM (Integrated Curriculum Model) (ICM(Integrated Curriculum Model) 기반의 영재통합교육과정 개발과 실행)

  • Roh, Il Soon;Kim, Min Kyeong
    • Journal of Gifted/Talented Education
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    • v.26 no.3
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    • pp.515-539
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    • 2016
  • The purpose of this study is to develop the integrated curriculum for gifted elementary students based on ICM (Integrated Curriculum Model) and to apply it for analysis of the relationship between creativity and creative problem solving skills. An integrated curriculum for gifted students attending a university-affiliated institute was developed and applied to twenty mathematically gifted 5th and 6th grade students. TTCT language test and CAT test for students' products from activities were conducted. In addition, tape-recorded group discussions and activities during instruction, and interview with students and teacher, activity sheets were analyzed. As results, their language abilities shown TTCT test have been improved. Furthermore, the correlation between the test results of automata and language creativity, the average of two projects and language creativity, and future problem solving and the average of TTCT showed significant correlations. Results showed the gifted students' understanding of high level concepts and cooperation among groups were needed in order to improve creative problem solving. It suggested a further study research the integrated curriculum applying creativity and giftedness to real-life problem situations for gifted students to make them grow into essential competent persons in the future.

A Study on Affective Factor and the Differences related to Problem-Solving in Mathematics and Reasoning Ability -Focused on 6th graders in Elementary School- (수학적 문제해결력 및 추론능력과 관련된 정의적 요소와 그 차이에 관한 분석 - 6학년 아동을 중심으로 -)

  • 박경옥;박영희
    • Education of Primary School Mathematics
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    • v.7 no.2
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    • pp.101-116
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    • 2003
  • In recent days, it is stressed that problem solving ability and inference ability to get a higer accomplishment are very important. The purpose of this research is to explore the affective factors related the problem solving ability and reasoning ability. Also, we explored the difference between the two affective factors focusing on 6th graders in primary school.

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Types of Cognitive Strategies Related to Children's Creative Problem Solving Skills in Mathematics (아동의 수학 창의적 문제해결력과 관련이 있는 인지전략 유형 분석)

  • Lee, Hye Joo
    • Korean Journal of Child Studies
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    • v.28 no.6
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    • pp.169-182
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    • 2007
  • Creative problem solving skills in mathematics were measured by fluency, flexibility, and originality; cognitive strategies were measured by rehearsal, elaboration, organization, planning, monitoring, and regulating. The Creative Problem Solving Test in Mathematics developed at the Korea Educational Development Institute(Kim et al., 1997) and the Motivated Strategies for Learning Questionnaire(Pintrich & DeGroot, 1990) were administered to 84 subjects in grade 5(45 girls, 39 boys). Data were analyzed by Pearson's correlation, multiple regression analysis, and canonical correlation analysis. Results indicated that positive regulating predicted total score and fluency, flexibility, and originality scores of creative problem solving skills. Elaboration, rehearsal, organization, regulating, monitoring, and planning positively contributed to the fluency and flexibility scores of creative problem solving skills.

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수학에서 협동 학습에 관한 기초연구

  • Seo, Jong-Jin
    • Communications of Mathematical Education
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    • v.14
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    • pp.229-250
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    • 2001
  • 협동 학습은 학습자간의 긍정적 상호 작용을 촉진하여 학습의 극대화를 도모하고자 하는 수업 방법으로, 수학 과목에서 협동 학습은 수학에 대한 성취도, 태도, 문제 해결력 등 인지적, 정의적 영역에서 긍정적인 효과를 나타내고 있다. 이에 본고에서는 수학 과목에서 협동학습에 대한 국${\cdot}$내외의 연구 동향을 살펴보고, 중학교 학생들의 학습양식과 수학성취도와의 관계를 조사하여 학습양식에 따라 소집단을 구성한 수학에서의 협동 학습을 모색하고자 한다.

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수학교육 평가에서 고사 타당도의 측정에 관한 연구

  • Hong, Seok-Gang
    • Communications of Mathematical Education
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    • v.13 no.2
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    • pp.641-653
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    • 2002
  • 수학 교육평가에서 고사 타당도의 측정은 매우 중요하다. 그것은 평가자가 목적하는 바의 준거에 따라 수험자들의 문제해결력 변별을 위한 고사들 간의 타당도 크기 측정과 또는 고사 문항의 선정, 배치를 통하여 한 고사의 타당도를 높이기 위한 문항별 타당도 계수를 측정 계산하는 것이다. 이 연구에서는 이 두 가지 고사 타당도의 크기 측정법을 이용하여 수학교육 평가 현장에서 직접적으로 적용할 수 있는 고사 타당도의 제고에 유효한 연구 결과를 제시한다.

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초등학교 수학과 교수-학습에서 엑셀 프로그램의 활용

  • An, Byeong-Gon
    • Communications of Mathematical Education
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    • v.10
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    • pp.81-96
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    • 2000
  • 국민형 pc의 보급, 학습자의 자기 주도적 학습능력을 향상을 위한 제7차 교육과정의 실현이 바로 앞에 다가오고 있다. 이러한 시대적 변화 속에서 초등수학교육도 수학적 사고력과, 창의력과 문제 해결력 향상을 위해 학습자의 직접적인 경험을 요구하고 있다. 여기에 수학과 교수-학습에서 컴퓨터 활용에 초점을 둔 방향의 전환이 필요하다. 현재 프로그램 중에서는 많은 사용자를 확보하고 접관이 용이한 엑셀프로그램을 동하여 수와 연산, 도형, 측정, 관계영역에서 활용 방안을 제시하고자 한다.

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