• Title/Summary/Keyword: Math creative problem solving ability

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The Relationship between Mathematically Gifted Elementary Students' Math Creative Problem Solving Ability and Metacognition (초등수학영재의 수학 창의적 문제해결력과 메타인지와의 관계)

  • Shin, Seung Yoon;Ryu, Sung Rim
    • Education of Primary School Mathematics
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    • v.17 no.2
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    • pp.95-111
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    • 2014
  • The purpose of this study is to determine the relationship between metacognition and math creative problem solving ability. Specific research questions set up according to the purpose of this study are as follows. First, what relation does metacognition has with creative math problem-solving ability of mathematically gifted elementary students? Second, how does each component of metacognition (i.e. metacognitive knowledge, metacognitive regulation, metacognitive experiences) influences the math creative problem solving ability of mathematically gifted elementary students? The present study was conducted with a total of 80 fifth grade mathematically gifted elementary students. For assessment tools, the study used the Math Creative Problem Solving Ability Test and the Metacognition Test. Analyses of collected data involved descriptive statistics, computation of Pearson's product moment correlation coefficient, and multiple regression analysis by using the SPSS Statistics 20. The findings from the study were as follows. First, a great deal of variability between individuals was found in math creative problem solving ability and metacognition even within the group of mathematically gifted elementary students. Second, significant correlation was found between math creative problem solving ability and metacognition. Third, according to multiple regression analysis of math creative problem solving ability by component of metacognition, it was found that metacognitive knowledge is the metacognitive component that relatively has the greatest effect on overall math creative problem-solving ability. Fourth, results indicated that metacognitive knowledge has the greatest effect on fluency and originality among subelements of math creative problem solving ability, while metacognitive regulation has the greatest effect on flexibility. It was found that metacognitive experiences relatively has little effect on math creative problem solving ability. This findings suggests the possibility of metacognitive approach in math gifted curricula and programs for cultivating mathematically gifted students' math creative problem-solving ability.

Math Creative Problem Solving Ability Test for Identification of the Mathematically Gifted

  • Cho Seok-Hee;Hwang Dong-Jou
    • Research in Mathematical Education
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    • v.10 no.1 s.25
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    • pp.55-70
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    • 2006
  • The purpose of this study was to develop math creative problem solving test in order to identify the mathematically gifted on the basis of their math creative problem solving ability and evaluate the goodness of the test in terms of its reliability and validity of measuring creativity in math problem solving on the basis of fluency in producing valid solutions. Ten open math problems were developed requiring math thinking abilities such as intuitive insight, organization of information, inductive and deductive reasoning, generalization and application, and reflective thinking. The 10 open math test items were administered to 2,029 Grade 5 students who were recommended by their teachers as candidates for gifted education programs. Fluency, the number of valid solutions, in each problem was scored by math teachers. Their responses were analyzed by BIGSTEPTS based on Rasch's 1-parameter item-response model. The item analyses revealed that the problems were good in reliability, validity, difficulty, and discrimination power even when creativity was scored with the single criteria of fluency. This also confirmed that the open problems which are less-defined, less-structured and non-entrenched were good in measuring math creativity of the candidates for math gifted education programs. In addition, it discriminated applicants for two different gifted educational institutions and between male and female students as well.

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Math Creative Problem Solving Ability Test for Identification of the Mathematically Gifted Middle School Students (중학교 수학 영재 판별을 위한 수학 창의적 문제해결력 검사 개발)

  • Cho, Seok-Hee;Hwang, Dong-Jou
    • Journal of Gifted/Talented Education
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    • v.17 no.1
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    • pp.1-26
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    • 2007
  • The purpose of this study was to develop a math test for identification of the mathematically gifted on the basis of their math creative problem solving ability and to evaluate the goodness of the test. Especially, testing reliability and validity of scoring method on the basis of fluency only for evaluation of math creative problem solving ability was one of the main purposes. Ten closed math problems and 5 open math problems were developed requiring math thinking abilities such as intuitive insight, organization of information, inductive and deductive reasoning, generalization and application, and reflective thinking. The 10 closed math test items of Type I and the 5 open math test items of Type II were administered to 1,032 Grade 7 students who were recommended by their teachers as candidates for gifted education programs. Students' responses were scored by math teachers. Their responses were analyzed by BIGSTEPS and 1 parameter model of item analyses technique. The item analyses revealed that the problems were good in reliability, validity, item difficulty and item discriminating power even when creativity was scored based on the single criteria of fluency. This also confirmed that the open problems which are less-defined, less-structured and non-entrenched were good in measuring math creative problem solving ability of the candidates for math gifted education programs. In addition, it was found that the math creative problem solving tests discriminated applicants for the two different gifted educational institutions.

An Analysis of Correlation between Relational Understanding and Creative Math Problem Finding Ability (관계적 이해와 창의적 수학 문제발견능력과의 상관관계 분석)

  • Kim, Eun-Jin;Kwean, Hyuk-Jin
    • Journal of the Korean School Mathematics Society
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    • v.15 no.3
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    • pp.511-533
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    • 2012
  • In order to determine whether there is a significant correlation between relational understanding and creative math. problem finding ability, this study performed relational understanding and problem finding ability tests on a sample of 186 8th grade middle school students. According to the study results, we found a very significant positive correlation between relational understanding and the creativity of the mathematising ability and the combining ability of mathematical concepts in the problem finding ability. Although there was no statistically significant correlation between relational understanding and the extension ability of mathematical facts, the results from analyzing the students response rate and actual scores in each test showed that students with high relational understanding scores also had high response rate and high scores in analogical reasoning and inductive reasoning. Through this study, therefore, relational understanding is found to have a positive impact on the creative mathematics problem finding ability.

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A Study on Development and Application of STEAM Program for Middle and High School Students using Local Institution(KAIST) (지역기관을 활용한 중·고등학교 융합인재교육(STEAM) 프로그램 개발 및 적용)

  • Choi, Jinsu;Kim, Young-Min;Lee, Young-Ju
    • Journal of Engineering Education Research
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    • v.23 no.5
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    • pp.3-15
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    • 2020
  • With the 4th Industrial Revolution, educational change is required to cultivate the ability to adapt in the rapidly changing future. Accordingly, the importance of nurturing convergent talents to create new values using the humanities imagination, science and technology creativity, and engineering problem solving ability has emerged. The purpose of this study is to develop STEAM education program with Daedeok R&D Zone and KAIST resources for middle school and high school level. With this program, we investigated the effectivenss of STEAM education on creative problem solving ability, self-efficacy and the perception of STEAM education with pre-test and poste-test model. For this study, 91 students(46 middle school, 45 high school) participated in STEAM education program. As a result student participated in the STEAM program improved the creative problem-solving ability and students' interest in math and science. Also, students perceived STEAM program provided benefits of science-related career information. The suggestions were discussed based on the results.

A Study on the Development of Environment Design STEAM Program in Coping with Climate Change for Elementary School Students (초등학생을 위한 기후변화대응 환경디자인 STEAM 교육프로그램 개발 연구)

  • Lee, Yun-Hee;Lee, Myung-A;Han, Hae-Ryon;Ban, Ja-Yuen
    • Korean Institute of Interior Design Journal
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    • v.25 no.6
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    • pp.15-22
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    • 2016
  • Recent changes in the Korean education policies are promoting the advances in science and technology and cultivating people of convergence talent. STEAM (science, technology, engineering, art and math) educational program is Korean styled convergence program for creative competent human resources. Therefore, Therefore the aim of this study is developing convergence hand-on educational program coping with climate change for elementary school students. For development of the program, we investigated the curriculum of the elementary school about the climate change, and allocated in the creative learning standard frame. Also, we selected themes related the climate change in the curriculum and learning activity. For more effective program to build the convergence competency, we analyzed the program based on creative problem based learning process and 4 core competency(creativity, communication, convergence, caring) elements. In conclusion, the STEAM program needs to develop by school curriculum and leaner's ability. For elementary school students, the STEAM program consists with creative problem based learning process. And the convergence educational program would analyze by the creative PBL process and convergence competency elements. So, this developing program has brought the promotion of the creative convergence competent talented person for the future global environment.

A Study on the Mathematics Education via Intuition (직관을 통한 수학교육에 관한 고찰)

  • LEE, Daehyun
    • Journal for History of Mathematics
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    • v.28 no.5
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    • pp.263-278
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    • 2015
  • As intuition is more unreliable than logic or reason, its studies in mathematics and mathematics education have not been done that much. But it has played an important role in the invention and development of mathematics with logic. So, it is necessary to recognize and explore the value of intuition in mathematics education. In this paper, I investigate the function and role of intuition in terms of mathematical learning and problem solving. Especially, I discuss the positive and negative aspects of intuition with its characters. The intuitive acceptance is decided by self-evidence and confidence. In relation to the intuitive acceptance, it is discussed about the pedagogical problems and the role of intuitive thinking in terms of creative problem solving perspectives. Intuition is recognized as an innate ability that all people have. So, we have to concentrate on the mathematics education via intuition and the complementary between intuition and logic. For further research, I suggest the studies for the mathematics education via intuition for students' mathematical development.

Effects of STEAM Program Development and Application for the 1st Grades of Elementary School (수학 기반 융합인재교육(STEAM) 프로그램 개발 및 적용 - 초등학교 1학년을 대상으로 -)

  • Jun, Mi Suk;Park, Moon Hwan
    • Education of Primary School Mathematics
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    • v.18 no.2
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    • pp.91-106
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    • 2015
  • The purpose of this study were to develop a M-STEAM program for first grades in elementary school and investigate the effects of the program on their learning motivation for the math subject and creative personality. For those purpose, this study set the following research questions. Research Question 1 : How will a M-STEAM program be devised applicable to first grades in elementary school? Research Question 2 : What kind of effect does a M-STEAM program have on the learning motivation and creative personality of students? The findings were as follows: First, lesson contents were reorganized by keeping the Unit 3 in the second semester of first grade in the current math curriculum under the convergence theme of "Build an environment friendly future city" to which the STEAM elements were added. Developed program promoted mathematical thinking ability for problem solving in the process of operating the number of blocks. Through the M-STEAM program, convergence thinking was created from a new perspective by exerting creativity in such process. Second, the STEAM program had effects on the learning motivation and creative personality of first graders in math subject. The t-test results show that the STEAM program developed in this study increased the fun and interest of students, helped with their concentration, and promoted their understanding of mathematical concepts. Therefore the M-STEAM program had positive impacts on the learning motivation and creative personality of first graders in math learning.

A study on the method for distinguishing general from science-inclined learners by using Pattern Recognition (패턴인식을 이용한 과학영재 판별 도구에 관한 연구)

  • Bang, Seung-Jin;Choi, Jung-Oh;Kim, Hyouk
    • Communications of Mathematical Education
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    • v.20 no.4 s.28
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    • pp.551-559
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    • 2006
  • Pattern Recognition measures the ability of learners to distinguish between two sets of shapes or figures. Locating similar patterns on either side of the presented problem determines a learner's capacity or aptitude for science over general studies. At Ajou University's Institute for Scientifically Enabled Youth, we conducted research using a sample composed of middle school students with general and scientific backgrounds. The result proved that Pattern Recognition measures a different creative talent other than problem solving. In our opinion, Pattern Recognition would be a method better suited to elementary learners over those in middle or high school.

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Analysis of Perception of the Importance of Work Ability and the Final School Contribution Among Health Care Workers' Using IPA (IPA를 활용한 보건의료직 종사자의 업무능력에 대한 중요도와 최종학교 기여도 인식 분석)

  • Min-Seok Ko
    • Journal of the Health Care and Life Science
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    • v.10 no.2
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    • pp.169-178
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    • 2022
  • The purpose of this study was to examine the level of awareness of the importance of work ability and their final school contribution and the difference between them among health care workers', and to explore the direction of the health care training curriculum by analyzing using IPA. As for the analysis data, the response data of a total of 465 health care workers among the original data of the 14th (2020) Youth Panel Survey were used. As a result of the analyzing using IPA, concentrate here area was none, and the keep up the good work area was specialized knowledge, practical knowledge in the field of expertise, communication, ability to cooperate with others, customer response capability, ability to learn for oneself, deliberate lifestyle, ability to adapt to change, good job perspective and business manners, understanding documents. Low priority area was computer literacy, ability to creative problem solving, reading and writing in a foreign language, solving math problems, foreign language conversation, and the possible overkill area was creating a document. Based on the these results, implications for effective curriculum development to cultivate health care workers were suggested.