• Title/Summary/Keyword: mathematical inquiry

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Effects of Constructivism-Based Teacher Education Program for Supporting Infant's Mathematical Inquiry Activity on Variables Related to Infant Teacher's Mathematics Teaching (영아 수학적 탐색활동 지원을 위한 구성주의 교사교육프로그램이 영아교사의 수학지도 관련 변인에 미치는 효과)

  • Ko, Eunji;Kim, Jihyun
    • Human Ecology Research
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    • v.58 no.1
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    • pp.105-120
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    • 2020
  • This study helps infant teachers practice a constructivism-based teacher education program that supports infant mathematical inquiry activities and examines improvements in mathematical teaching knowledge, mathematical teaching initiatives, mathematical interaction, constructivism belief and mathematical teaching efficacy. Twenty two experiment group infant teachers and twenty two comparison group infant teachers were chosen at two workforce educare centers. The experiment group infant teachers participated in 18 sessions of a constructivism teacher training program for 8 weeks, but the comparison group infant teachers did not take part in the program. Pretest and post-tests were implemented for the mathematical teaching knowledge, mathematical teaching initiatives, mathematical interactions, constructivism belief and mathematical teaching efficacy in the experiment group. Independent sample t-test and ANCOVA were tested using Windows SPSS statistics 21.0. The homogeneity test for the experiment and comparison group revealed significant differences. ANCOVA was carried out after the pretest score was controlled as a co-variance. Significant differences were indicated in mathematical teaching knowledge, mathematical teaching initiative, mathematical interaction, constructivism belief and mathematical teaching efficacy. The results indicated that a constructivism-based teacher education program to support infant mathematical inquiry activities influenced improvements in mathematical teaching knowledge, mathematical teaching initiative, mathematical interaction, constructivism belief and mathematical teaching efficacy. This study proved the effects of the program based on constructivism theory content for the knowledge, skills and attitude about infant teaching of mathematical initiatives and practiced a program of exploration, investigation, application and assessment for infant teachers. The results can help infant teachers teach mathematical exploration activities and help activate infant mathematical exploration activities.

The Effects of Number-Related Fairy Tales on Young Children's Mathematical Inquiry Skills (수 관련 동화가 유아의 수리 탐구 능력에 미치는 효과)

  • Lim, Soon Hwa;Kwon, Eun Ju
    • Korean Journal of Childcare and Education
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    • v.1 no.1
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    • pp.37-58
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    • 2005
  • The purpose of this study was to examine whether or not the use of number-related fairy tales had any effects on young children's mathematical inquiry skills in a bid to help facilitate their development of mathematical capabilities. The subjects in this study were 30 preschoolers who were four years old in Western age and attended G kindergarten in Jung-gu, Ulsan. The instrument used to assess their mathematical inquiry skills was Choi Hye-jin(2003)'s Preschooler Math Capability Inventory. The collected data wee analyzed with SPSS Win 11.5 program, and analysis of covariance was utilized. The findings of the study were as follows: The application of number-related fairy tales turned out to be effective in developing the young children's abilities to figure out the regularity of things, conception of number, geometrical abilities, measurement abilities and mathematical inquiry skills of the preschoolers. The above-mentioned findings suggested that the application of number-related fairy tales was one of good teaching methods to step up the development of young children's mathematical inquiry skills. Specifically, that could inner motivation to preschoolers in mathematical contexts and take their problem-solving skills to another level.

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A study on the improvement of ability of a creative solving mathematical problem (수학문제의 창의적 해결력 신장에 관한 연구 -농어촌 중학교 수학영재를 중심으로-)

  • 박형빈;서경식
    • Journal of the Korean School Mathematics Society
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    • v.6 no.1
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    • pp.1-17
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    • 2003
  • In this paper, we study the methods of improving an ability of a creative solving mathematical problem belonging to an educational system which every province office of education has adopted for the mathematically talented students. Especially, we give an attention on a preferential reaction in teaching styles according to student's LQ., the relationship between student's LQ. and an ability of creative solving mathematical problems, and seeking for an appropriative teaching methods of the improvement ability of a creative solving problem. As results, we have the followings; 1. The group having excellent students who have a higher intelligential ability prefers inquiry learning which is composed of several sub-groups to a teacher-centered instruction. 2. The correlation coefficient between student's LQ. and an ability creative solving of mathematical is not high. 3. Although the contents and the model of thematic inquiry learning don't have a great influence on the divergent thinking (ex. fluency, flexibility, originality), they affect greatly the convergent thinking - a creative mathematical - problem solving ability. Accordingly, our results show that we should use a variety of mathematical teaching materials apart from our regular textbooks used in schools to improve a creative mathematical problem solving ability in the process of thematic inquiry learning. Also we can see that an inquiry learning which stimulates student's participation and discussion can be a desirable model in the thematic mathematical classroom activities.

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A Study on Open Education for Developing Creativity in Mathematics Education (수학교육에서 창의성 신장을 위한 열린교육 방안에 대한 연구1))

  • 전평국;이재학;백석윤;박성선
    • Education of Primary School Mathematics
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    • v.5 no.2
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    • pp.71-94
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    • 2001
  • The purposes of this study were to design small group collaborative learning models for developing the creativity and to analyze the effects on applying the models in mathematics teaching and loaming. The meaning of open education in mathematics learning, the relation of creativity and inquiry learning, the relation of small group collaborative learning and creativity, and the relation of assessment and creativity were reviewed. And to investigate the relation small group collaborative learning and creativity, we developed three types of small group collaborative learning model- inquiry model, situation model, tradition model, and then conducted in elementary school and middle school. As a conclusion, this study suggested; (1) Small group collaborative learning can be conducted when the teacher understands the small group collaborative learning practice in the mathematics classroom and have desirable belief about mathematics instruction. (2) Students' mathematical anxiety can be reduced and students' involvement in mathematics learning can be facilitated, when mathematical tasks are provided through inquiry model and situation model. (3) Students' mathematical creativity can be enhanced when the teacher make classroom culture that students' thinking is valued and teacher's authority is reduced. (4) To develop students' mathematical creativity, the interaction between students in small group should be encouraged, and assessment of creativity development should be conduced systematically and continuously.

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Memory retention of mathematical concepts in multiplication in the inquiry-based pantomime instruction (탐구 중심 판토마임 교수에서 곱셈 개념의 기억의 보존)

  • Bae, Jong-Soo;Park, Do-Yong;Park, Man-Goo
    • School Mathematics
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    • v.9 no.4
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    • pp.507-521
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    • 2007
  • The purpose of this study was to investigate the effects of memory retention of mathematical concepts in multiplication in the inquiry-based pantomime instructions. Three months later after the pre-test, a comparison was made between traditional class (TC) and class with the inquiry-based pantomime (IP) approach in terms of students retention of mathematical understandings. Results of the study indicated that the If instructions promoted effective long-term retention of knowledge. We concluded that instructional strategies that promoted active engagement in learning using life examples and drawings produced effective long-term retention of knowledge.

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Impact of Inquiry-Based Teaching on Student Attitude toward Mathematics

  • Kim, Taik-H.;Pan, Wei
    • Research in Mathematical Education
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    • v.14 no.3
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    • pp.249-262
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    • 2010
  • Large Midwest university faculty members proposed the Science and Technology Enhancement Program Project (STEP) to improve students' learning in the secondary mathematics classroom using modules of inquiry-based teaching. The purpose of this study was to determine the impact of the STEP Project on students' attitude toward mathematics. Hierarchical linear models (HLM) were used to evaluate the impact of the STEP Project. The sample group for the study was 130 ninth grade students enrolled in Integrated Algebra I in a large urban school district. The school was one of eight secondary schools that participated in the STEP Project. The classes in the treatment group were three of five classes ordered in terms of the highest, middle, and lowest mean GPA. The control group consisted of two other middle GPA classes. The classes had an average of 25 students. Teachers who previously had been involved in the STEP Project taught all treatment and control classes. The inquiry-based teaching activities provided by the project were confined to the treatment classes. The survey measuring students' attitudes toward mathematics were obtained for both groups of students. The inquiry-based teaching affected students' attitudes toward mathematics (p < 0.07, ES = 3.07). Especially, students who had preexisting low attitudes toward mathematics were significantly affected by treatment (p < 0.02, ES = 0.02), while the treatment positively affected African American students overall at p < 0.08 (ES = 0.58).

A Study on Development of Teaching and Learning Materials for 'Mathematics Project Inquiry Subject' ('수학 과제 탐구' 과목의 수업을 위한 교수·학습 자료 개발 연구)

  • Cheon, Sunbin;Lee, Jong Hak;Kim, Won Kyung
    • The Mathematical Education
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    • v.56 no.3
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    • pp.319-340
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    • 2017
  • The purpose of this study is to develop teaching and learning materials for the mathematics project inquiry subject. Since this subject is newly opened in the 2015 revised mathematics curriculum, there are no textbooks and materials. Hence it is required to help teachers plan lessons of the mathematics project inquiry subject. For this study, developing directions and objectives are established. Ten hours of lesson plan and teaching and learning materials are also developed for the two themes of 'big data' and 'industrial mathematics'. Suitability and validity of the developed material are verified positively from a survey of 8 teachers and 2 professionals. The detailed result findings are as follows. First, teaching and learning notes are suggested for each lesson plan. They are comprised of building inquiry plan, doing inquiry, summarizing results, and presentation. Second, driving questions of each theme are developed as "What is the big data and where is it used for ?" and "How various is the use of the industrial mathematics ?" respectively. Third, poster-types of each project product are developed. Fourth, three inquiry activity sheets and examples which are theme selection, inquiry plan, and group activity are developed. Fifth, 4 assessment sheets of self, peer, group, and teacher-use are developed.

A Study on the Life of Euler and his Academic Achievements in Mathematics (오일러의 생애와 업적에 관한 연구)

  • 노영순;강덕기
    • Journal of the Korean School Mathematics Society
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    • v.1 no.1
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    • pp.69-79
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    • 1998
  • My suggestions to the teachers on the basis of my research are as follows: 1. A mathematical curriculum in high school requires an intuitive understanding. I'm sure we can not only improve the student's intuition and imagination by Euler's insight and intellectual investigation, but also induce motive and interest in mathematical learning by increasing the inquiry activities. Therefore, I suggest that we take advantage of teaching aids available from this research by processing the units in the mathematical textbook. 2. We can feel the beauty of mathematics by Euler's symbols and simple formulas. We must take pride in teaching mathematics because the mathematical insight is very useful in the inqury process. 3. We have to model ourselves after Euler's spirit of inquiry and energetic activities.

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Development of the model textbook based on storytelling : the case of 'Inquiry into History of Mathematics' type ('수학사탐구형' 고등학교 스토리텔링 모델 교과서 개발 사례)

  • Kwon, Oh Nam;Park, Jee Hyun;Cho, Hyungmi;Kim, Mi Ju
    • Communications of Mathematical Education
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    • v.27 no.3
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    • pp.221-248
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    • 2013
  • Among five types of the model textbook based on storytelling, the type of 'Inquiry into history of Mathematics' focuses on adapting the logic of mathematical discovery to the organization of mathematical contents. It enables students to recognize that mathematics has been developed by human needs and creativity while they are engaged in the story about knowledge formation. Moreover the textbook offers the context in which students are able to understand mathematical insights and logics hidden in the subject matter, so that they can reinvent and develop mathematical knowledge. In this study, we found the principles for development of the textbook based on storytelling for 'Inquiry into History of Mathematics' by analyzing the chapter about 'Complex number and Quadratic Equations' of the model textbook. The chapter was implemented in classroom environment and students' understanding of the subject matter and their perception on the textbook based on storytelling were surveyed before and after the implementation. The results showed the possibilities of adapting the textbook based on storytelling and we suggested some implications for further development.

THE SPECIFICATION OF EVALUATIVE OBJECTIVES AND SELECTION OF BEHAVIORAL ELEMENTS TO MEASURE. SCIENCE INQUIRY SKILLS RELATING TO EARTH SCIENCE AMONG QUANTITATIVE(MATHEMATICAL) INQUIRY DOMAIN OF UNIVERSITY COMPETENCY TEST (대학 수학능력 시혐의 수리.탐구 영역중 지구과학 교과에 관련된 탐구능력 측정을 위한 행동요소의 추출과 평가 목표의 상세화 연구 I)

  • Woo, Jong-Ok;Lee, Kyung-Hoon;Lee, Hang-Ro
    • Journal of The Korean Association For Science Education
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    • v.11 no.1
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    • pp.83-96
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    • 1991
  • The purpose of this study is to construct the evaluative objectives of science inquiry skills specificationaly. Specification of evaluative objectives will be able to serve as evaluative criterion for development of a test of the integrated science process skills. The results in this study are as follows ; (l) The selections of science inquiry skills from the previous developed taxonomies are observation, measurement, formulating hypothesis, designing an experiment and controlling variables, inference, predicting(including intrapolation and extrapolation), organizing data and interpreting, defining operationally, formulating a generalization or model, drawing a conclusion. (2) The definitions of the selected science inquiry skills are made operationally. (3) Evaluative objectives relating to the selected science inquiry skills are specified with the previous developed items. Based on the above results, total 9 science inquiry skills are selected and 72 evaluative objectives are specified.

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