• Title/Summary/Keyword: 수학 창의적 문제해결력

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A Case study on the Effects of Mathematically Gifted Creative Problem Solving Model in Mathematics Learnings for Ordinary students (수학 영재의 창의적 문제해결 모델(MG-CPS)을 일반학생의 수학 학습에 적용한 사례연구)

  • Kim, Su Kyung;Kim, Eun Jin;Kwean, Hyuk Jin;Han, HyeSook
    • The Mathematical Education
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    • v.51 no.4
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    • pp.351-375
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    • 2012
  • This research is a case study of the changes of students's problem solving ability and affective characteristics when we apply to general students MG-CPS model which is creative problem solving model for gifted students. MG-CPS model which was developed by Kim and Lee(2008) is a problem solving model with 7-steps. For this study, we selected 7 first grade students from girl's high school in Seoul. They consisted of three high level students, two middle level students, and two low level students and then we applied MG-CPS model to these 7 students for 5 weeks. From the study results, we found that most students's describing ability in problem understanding and problem solving process were improved. Also we observed that high level students had improvements in overall problem solving ability, middle level students in problem understanding ability and guideline planning ability, and that low level students had improvements in the problem understanding ability. In affective characteristics, there were no significant changes in high and middle level classes but in low level class students showed some progress in all 6 factors of affective characteristics. In particular, we knew that the cause of such positive changes comes from the effects of information collection step and presenting step of MG-CPS model.

Development and Effectiveness of STEAM Outreach Program based on Mathematics (수학을 기반으로 하는 STEAM 아웃리치 프로그램 개발과 효과성)

  • Hwang, Sunwook;Kim, Namjun;Son, Jeongsuk;Song, Wonhee;Lee, Kapjung;Choi, Seongja;Lew, Kyounghoon
    • Communications of Mathematical Education
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    • v.31 no.4
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    • pp.389-407
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    • 2017
  • Many researches related to STEAM education have been actively conducted for developing elementary and secondary school students' comprehensive and logical thinking ability in relation to creativity education in Korea. Each sub factor of STEAM education requires creative thinking with the ability to be merged together to solve problems as integrated or combined forms in the fields of Science, Technology, Engineering, Arts, and Mathematics. Also, these STEAM activities and experiences should be carried out at various places outside the classroom in school. Although various educational programs to enhance mathematical creativity have been emphasized for elementary and secondary school students, recent tendency to focus on classroom learning in the school makes it difficult to develop creative thinking ability of students. This research is mainly based on the result of the project "Development and Administration of STEAM Outreach Program in 2016" supported by KOFAC(Korea Foundation for the Achievement of Science & Creativity). The purpose of this research is to develop a STEAM outreach program including students' activity books, teachers' manuals and administration manual that can maximize STEAM-related interest of students, and to provide a chance for elementary and secondary school students to experience creative thinking based on sub factors of STEAM. The STEAM competency total score and the perception of convergence education were significantly increased for all students participating this program, but some sub factors showed different result by school levels. The STEAM outreach program developed by this study is designed to emphasize STEAM education especially 'based on' mathematics in order to provide students with the opportunity to experience more interest in the field of mathematics and will be able to provide an interesting creative STEAM outreach program that utilizes a variety of activities which, we expect, would help students to consider their career in the future.

A Study on the Validity of the Grit Test as a Tool for Identification of Mathematically Gifted Elementary Students (초등수학영재 판별 도구로서 그릿 검사 타당성 검증)

  • Heo, Jisung;Park, Mangoo
    • Communications of Mathematical Education
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    • v.36 no.3
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    • pp.355-372
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    • 2022
  • The purpose of this study was to find out whether the Grit test is valid as a test tool for Identification of mathematically gifted elementary students. For this study, we conducted Grit tests, Mathematical Problem Solving Aability Tests, Mathematical Creative Ability Tests, and Mathematically Gifted Behavior Characteristic Tests on 39 ordinary students at Seoul public elementary school and 20 mathematically gifted students at the Education Center for Gifted Education, and analyzed correlation with each test. In addition, we conducted a discriminant analysis to find out how the Grit test can accurately determine the members of the mathematically gifted student group and the ordinary student group. As a result of Pearson's correlation analysis, the Grit test was .521 with the Mathematical Problem Solving Ability Tests, .440 with the Mathematical Creative Ability Tests, and .601 with the Mathematically Gifted Behavior Characteristic Tests, according to significant positive correlation at p<.01. Through this, it can be confirmed that the Grit test has a high official validity as a tool for determining mathematically gifted students. As a result of conducting a discriminant analysis to confirm the classification discrimination ability of the elementary mathematically gifted student group and ordinary student group of the Grit test, Wilk's λ was .799(p<.001). We confirm that the Grit test is a significant variable in determining the mathematically gifted student group and ordinary student group. In addition, 64.4% of the entire group was accurately classified as a result of group classification through discriminant analysis. This shows that the Grit test can be actually used as a test tool to determine mathematically gifted elementary students.

The Development of behavior Characteristics Scale in the Mathematically Giftedness of the Middle School (수학 영재를 위한 행동 특성 검사도구 개발)

  • Hwang, Dong-Jou
    • Journal of the Korean School Mathematics Society
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    • v.9 no.3
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    • pp.405-424
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    • 2006
  • The purpose of this study was to develop the instruments which can measure behavior characteristics as a component of Mathematically Giftedness with in middle school period. This study prescribed the variable factors of measurement after classify the characteristics of Mathematically Giftedness through literature studies. And it produced instruments those are finally composed of 51 items through the preliminary test. The participants for the study were 424 Korean middle school students. Statistical analyses were carried out to verify the validities and reliability. Reliability(Cronbach $\alpha$) was in behavior characteristics, .95. Content validity was found to be satisfactory by internal validity evaluation on the test items. Internal validity were analyzed by BIGSTEPTS based on Rasch's 1-parameter item-response model. Construct validity was also found to be satisfactory through factor analysis which showed the four factors which the identification instruments were intended to measure such as, General mathematical mental ability, Mathematical Ability, Processing and Obtaining mathematical information Anility and Mathematical Disposition Ability. In conclusion, the instruments about behavior characteristics of Mathematically Giftedness during middle school period developed by this study are highly reliable on its reliability and validity.

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Influential Error Factors of Robot Programming Learning on the Problem Solving Skill (로봇 프로그래밍 학습에서 문제해결력에 영향을 미치는 오류요소)

  • Moon, Wae-Shik
    • Journal of The Korean Association of Information Education
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    • v.12 no.2
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    • pp.195-202
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    • 2008
  • The programming learning by using a robot may be one of the most appropriate learning methods for enabling students to experience the creative learning of future society by avoiding the existing stereotyped style educational environment, and understand and improve algorithm which is the basic fundamental of mathematics and science. This study proposed four types of items of errors which may occur during robot programming by elementary school students, and made elementary school students in the fifth and sixth grades learn robot programming after developing the curriculum for the robot programming. Then, the study collected and classified errors that had occurred during the process of learning, and conducted a comparative analysis of computer-based programming language which had been previously studied. This study identified that robot programming in elementary school was shown superior to existing computer-based programming language as a creative learning method and tool through the field experience.

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Computer Programming Curriculum and Teaching Method in Connection with Mathematics Education System in the Elementary and Secondary Schools (초.중등학교에서 수학교육체계와 연계된 컴퓨터 프로그래밍 교육과정과 교수방법)

  • Park, Young-Mi;Yoo, Kwan-Hee
    • The Journal of the Korea Contents Association
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    • v.8 no.1
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    • pp.116-127
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    • 2008
  • In the $7^{th}$ education curriculum, computer education curriculum in the elementary and secondary schools is composited into the contents for the use of computers so that there are some limitations in teaching students the abilities for solving various problems of several areas using computers. Recently, the research has done to change the computer education curriculum for enhancing creativity and problem solving ability required by the future education. The contents of the main subject for enhancing them is of computer programming, however, there was not enough research on systematic programming education curriculum for leading to motivating learners and enhanced knowledge transfer to those learners. In this paper, we analysis the contents mathematics education curriculum with consecutive contents and in tight connection with computer education and then extract its programming related elements. Based on those, we propose a programming education curriculum with which we can teach systematically computer programing according to continual and systematic guidance in the elementary and secondary schools. And we develop a teaching model and learning guidance for teaching students programming methods with the computer programming education curriculum proposed in this paper.

Effect of the Integrated STEM Project Learning Themed 'Lighting of Quantum Dot Solution' on Science High-School Small-Group Students' Problem Solving and Scientific Attitude ('양자점 용액의 발광'을 주제로 한 융합형 STEM 프로젝트 학습이 과학고등학교 소집단 학생들의 문제해결력과 과학적 태도에 미치는 효과)

  • Yi, Seung-Woo;Kim, Youngmin
    • New Physics: Sae Mulli
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    • v.68 no.12
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    • pp.1356-1363
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    • 2018
  • The purpose of this study was to investigate science high-school students' creativity and scientific attitude when an integrated science, technology, engineering and mathematics (STEM) project themed 'lighting of quantum dot solution' was applied to them. The subjects were a one team composed of 3 students in the 11th grade desiring to participate in the Korea Science Exhibition. They began with a scientific inquiry related to the physical properties of the QD solution and then gradually showed the process of expansion of their ideas into the integration of engineering, technology, and mathematics. Also, during the process, they showed problem solving ability and scientific attitudes, such as cooperation, endurance, and satisfaction of accomplishment.

A Case Study about Influence of Primary Mathematic Concepts on the Composition of Mathematic Concepts in 3rd grade Prodigies of Elementary Schools - Focusing on Addition and Multiplication of Fractions - (수학의 1차적 개념이 초등학교 3학년 영재아의 수학적 개념구성과정에 미치는 영향에 대한 사례연구 - 분수의 덧셈과 곱셈을 중심으로 -)

  • Kim, Hwa Soo
    • Journal of Gifted/Talented Education
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    • v.24 no.1
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    • pp.17-43
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    • 2014
  • On the subjects of elementary 3rd grade three child prodigies who had learned the four fundamental arithmetic operations and primary concepts of fraction, this study conducted a qualitative case research to examine how they composed schema of addition and multiplication of fractions and transformed schema through recognition of precise concepts and linking of concepts with addition and multiplication of fractions as the contents. That is to say, this study investigates what schema and transformed schema child prodigies form through composition of primary mathematic concepts to succeed in relational understanding of addition and multiplication of fractions, how they use their own formed schema and transformed schema for themselves to approach solutions to problems with addition and multiplication of fractions, and how the subjects' concept formation and schema in their problem solving competence proceed to carry out transformations. As a result, we can tell that precise recognition of primary concepts, schema, and transformed schema work as crucial factors when addition of fractions is associated with multiplication of fractions, and then that the schema and transformed schema that result from the connection among primary mathematic concepts and the precise recognition of the primary concepts play more important roles than any other factors in creative problem solving with respect to addition and multiplication of fractions.

Schemes to incorporate key competencies for the gifted in the middle school math teaching (핵심역량에 기초한 중학교 수학 수업 방안 탐색 -수학 영재 수업을 중심으로-)

  • Choe, Seong Hyun;Park, Ji Hyun;Nam, Geum Cheon
    • Communications of Mathematical Education
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    • v.27 no.2
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    • pp.99-119
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    • 2013
  • This study investigated the schemes to apply key competencies to middle school math teaching. Key competencies (KCs, hereafter), however, have been discussed only at the national-level general curriculum. Through the survey with mathematics educators, we selected key competencies that can be better developed through mathematics subject. We investigate ways to apply key competencies into math teaching and learning with the math-talented students who usually lack interpersonal skills and communication skills. Along with KC goals, we selected graphs (or graphing skills in math contents) as learning goals, and we designed and implemented competency-based instruction for the gifted. Through participant observation of math teaching and learning, we identified students' improvement in interpersonal skills and communication skills. We also identified students' skill development in other key competencies such as creativity, problem solving, information processing skills, etc., which can be developed through mathematics teaching and learning. Through this study, we found out that key competencies can be developed through mathematics teaching and we need in-depth studies on this matter.

Mathematics Teachers' Perceptions about and Implementation of Constructed-Response Assessment (수학교사들의 서술형.논술형 평가에 대한 인식 및 실행 조사)

  • Lee, Sunbi;Kim, Gooyeon;Noh, Sunsook;Kim, Min Kyeong;Kim, Rae Young
    • Journal of the Korean School Mathematics Society
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    • v.17 no.2
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    • pp.275-290
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    • 2014
  • This study aims to examine how secondary mathematics teachers perceive and how they use constructed-response assessment in their mathematics classrooms. For this purpose, we conducted a survey in Seoul, Inchun, and Gyeonggi-do; 189 teachers participated in the survey. Results from the data analysis suggest as follows: a) the secondary mathematics teachers participated in the survey seem to consider the primary goals of assessment through constructed-response items as evaluating student achievement and the development of students' thinking and creativity; b) the teachers perceive that constructed-response assessment would promote students' mathematical thinking and problem solving skills; c) in general, constructed-response items were included in both performance assessment(less than 20 percent) and paper-and-pencil test(20 to 40 percent); and d) constructed-response items were primarily used as a part of regular examination, rather than as an independent assessment.

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