• Title/Summary/Keyword: Mathematics Teaching

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The Effect of CPS-based Scratch EPL on Problem Solving Ability and Programming Attitude (CPS에 기반한 스크래치 EPL이 문제해결력과 프로그래밍 태도에 미치는 효과)

  • Cho, Seong-Hwan;Song, Jeong-Beom;Kim, Seong-Sik;Lee, Kyung-Hwa
    • Journal of The Korean Association of Information Education
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    • v.12 no.1
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    • pp.77-88
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    • 2008
  • A programming education has favorable influence on creative / logical thinking and problem solving ability of students. However, students typically have to spend too much effort in learning basic grammar and the usage model of programming languages, which negatively affect their eagerness in learning. In this respect, we proposed to apply the 'Scratch' using the Creative Problem Solving(CPS) Teaching Model; Scratch is an easy-to-learn and intuitive Educational Programming Language(EPL) that helps improving the problem solving ability of the class. Then we verified the effect of Scratch EPL through the design of both pretest and posttest for a subject group. In summary, the CPS based Scratch EPL was shown to significantly improve the problem solving ability and also help them develop favorable attitude in programming.

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A Study of Students' Perception and Expression on the Constant of Distance Function in the Relationship between Distance Function and Speed Function (거리함수와 속력함수의 관계에서 거리함수의 상수항에 대한 학생들의 인식과 표현)

  • Lee, Dong Gun
    • The Mathematical Education
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    • v.56 no.4
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    • pp.387-405
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    • 2017
  • The purpose of this study is to investigate the change of students 'perception and expression about the motion of object following distance function $={x \atop 3}$ and distance function $y=\frac{x^3}{3}+3$ according to the necessity of research on students' perception and expression about integral constant. In this paper, we present the recognition and the expression of the difference of the constant in the relationship between the distance function and the speed function of the students, while examining the process of constructing the speed function and the inverse process of the distance function. This provides implications for the relationship between the derivative and the indefinite integral corresponding to the inverse process. In particular, in a teaching experiment, a constructive activity was performed to analyze the motion of two distance functions, where the student had a difference of the constant term. At this time, the students used the expression 'starting point' for the constants in the distance function, and the motion was interpreted by using the meaning. This can be seen as a unique 'students' mathematics' in the process of analyzing the motion of objects. These scenes, in introducing the notion of the relation between differential and indefinite integral, it is beyond the comprehension of the integral constant as a computational procedure, so that the learner can understand the meaning of the integral constant in relation to the motion of the object. It is expected that it will be a meaningful basic research on the relationship between differential and integral.

The cognitive load of middle school students according to problem types in collaborative learning for solving the function problems (함수 영역 문제해결 협력학습 과정에서 문제 유형에 따른 중학생의 인지부하 분석)

  • Kim, Seong-Kyeong;Kim, Ji Youn;Lee, Sun Ji;Lee, Bongju
    • The Mathematical Education
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    • v.57 no.2
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    • pp.137-155
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    • 2018
  • From the assumption that an individual's working memory capacity is limited, the cognitive load theory is concerned with providing adequate instructional design so as to avoid overloading the learner's working memory. Based on the cognitive load theory, this study aimed to provide implications for effective problem-based collaborative teaching and learning design by analyzing the level of middle school students' cognitive load which is perceived according to the problem types(short answer type, narrative type, project) in the process of collaborative problem solving in middle school function part. To do this, this study analyzed whether there is a relevant difference in the level of cognitive load for the problem type according to the math achievement level and gender in the process of cooperative problem solving. As a result, there was a relevant difference in the task burden and task difficulty perceived according to the types of problems in both first and second graders in middle schools students. and there was no significant difference in the cognitive effort. In addition, the efficacy of task performance differed between first and second graders. The significance of this study is as follows: in the process of collaborative problem solving learning, which is most frequently used in school classrooms, it examined students' cognitive load according to problem types in various aspects of grade, achievement level, and gender.

Study on Improving of Creativity of Gifted Students using the Project-based Task (프로젝트 수행 활동을 통한 영재들의 창의성 신장에 대한 연구)

  • Yang, Hee-Sun;Hong, Jin-Gu;Shim, Kew-Cheol
    • Journal of Gifted/Talented Education
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    • v.18 no.1
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    • pp.111-137
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    • 2008
  • The purpose of this study is to develop learning materials and teaching model for the gifted, and to examine the improvement of creativity of them in middle schools. Subjects were 126 gifted students, who were the 7th or 8th graders and have been taught in gifted classes of the adjacent Education Institute for the gifted of Boryeong Education Districts, Chungnam Province Office Of Education. Divisions of gifted Classes were logical reasoning, mathematics, foreign language, science. After the instruction of project-based task, gifted students had improved creativity. Especially, instruction using project-based task was more effective on scientifically gifted students. Most gifted students were satisfied with the instruction using project-based task, and attractive in it. Finally, it was suggested that the instruction using project-based task should be actively used for the gifted students.

Teaching the Solutions of Equation in view of Symmetry (대칭성을 고려한 방정식의 해법 지도)

  • Kim, Ji Hong;Kim, Boo Yoon;Chung, Young Woo
    • Communications of Mathematical Education
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    • v.29 no.4
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    • pp.699-722
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    • 2015
  • Based on Lagrange's general theory of algebraic equations, by applying the solution of the equation using the relationship between roots and coefficients to the high school 1st grade class, the purpose of this study is to recognize the significance of symmetry associated with the solution of the equation. Symmetry is the core idea of Lagrange's general theory of algebraic equations, and the relationship between roots and coefficients is an important means in the solution. Through the lesson, students recognized the significance of learning about the relationship between roots and coefficients, and understanded the idea of symmetry and were interested in new solutions. These studies gives not only the local experience of solutions of the equations dealing in school mathematics, but the systematics experience of general theory of algebraic equations by the didactical organization, and should be understood the connections between knowledges related to the solutions of the equation in a viewpoint of the mathematical history.

An International Comparative Study of Upper Secondary Home Economics Education -Curriculum Analaysis Approach- (고등학교 가정과 교육의 국제비교연구 -교육과정을 중심으로-)

  • 윤인경
    • Journal of Korean Home Economics Education Association
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    • v.1 no.1
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    • pp.33-42
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    • 1989
  • By the comparative analysis of high school Home Economics curricula in the U.S., Japan and Taiwan, this study first attempts to understand the current Home Economics education and to access its treads for each country. Based on the findings of the analysis, the study also seeks to get the major implications of the analysis for the betterment of the Korea Home Economics Education. The main sources of information and data analyzed here are: 1) curricula for both Oklahoma and Ohio state as representatives of the U.S.; 2) Home Economics Teaching Guidelines in Japan; and 3) Home Economics curriculum in Taiwan. Content Analysis technique is applied in this study. The major elements of contents include:1) structure of the curriculum; 2) subject name; 3) unit (time) allotment; 4) goals; 5) subject areas and content composition; and 6) other related characteristics for the implementation of the curriculum. Summarized results of the study outline as follows: 1) Home Economics is offered as independently required subject with equal status to Mathematics, Science, and Social Studies subject in all three countries; 2) Sex discrimination is prohibited both in the U.S. and Taiwan, while in Japan sex equity is not secured for Home Economics educations; 3) Time allotment for Home Economics in Japan and Taiwan is similiar to that in Korea;4) Subject areas cover such fields as Foods and Nutrition, Clothing and Textiles, Home Management, and Human Development in all three countries, which is similiar to those of Korea. In addition, Consumer Education and Career Education are also covered in the U.S., whereas in Japan Child Care is offered; and 5) Curriculum can be utilized as instructional planning material due to the clear specification of instructional methods, materials, and evaluation methods on the curriculum, especially in the U.S. and Taiwan.

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Review on the Extreme Didactic Phenomena in the Mathematical Class (수학 교실에서 나타나는 극단적 교수 현상에 대한 고찰)

  • Kim, Bu-Yoon;Jung, Gyeong-Mee
    • Communications of Mathematical Education
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    • v.21 no.3
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    • pp.407-430
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    • 2007
  • The extreme didactic phenomena that occur by ignoring or overemphasizing the process of personalization/contextualization, depersonalization/decontextualization of mathematical knowledge is always in our teaching practice and in fact, seems to be a kind of phenomena that suppress teachers psychologically or didactically. The study of the problems on error, misconception or obstacles revealed by students has been done continuously, but that of the extreme didactic phenomena revealed by teachers has not. In this study, I will explain four extreme didactic phenomena and help you understand them by giving various examples from several case studies and analyzing them. And also, I will discuss the way to overcome the extreme didactic phenomena in the mathematical class, based on this analysis. This thesis will become a standard of didactic phenomena that are proceeded extremely by having teachers reconsider their own classes and furthemore, will offer the research data for considering better didactic situation.

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The Operational Approach and Structural Approach to the Mathematical Concepts - Focusing on exponential function and logarithmic function - (수학적 개념에 대한 조작적 접근과 구조적 접근 - 지수함수와 로그함수를 중심으로 -)

  • Kim, Bu-Yoon;Kim, So-Young
    • Communications of Mathematical Education
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    • v.21 no.3
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    • pp.499-514
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    • 2007
  • In modern mathematic education, the development of mathematical ability based on the understanding of mathematical concepts has been emphasized in curriculum and teaching methodology. Also, in schools, most math teachers stress the importance of mathematical concepts in doing math well. Thus, in this paper, we outlined the development of mathematical concepts through the literature survey. And then, based on the Sfard's definition of mathematical concepts, which classifies math concepts into the operational approach and structural approach, we analyzed the math concepts of exponential function and logarithmic function units in three highschool math textbooks. As the result, we found that the textbook authors used different approach for the same concepts, and, at the same time, they used both approaches to help develop the students' math concepts.

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Understanding Instructor's Challenges of Content Based Instruction : For Pre-service Teachers in Early Childhood Education (내용기반 교수법을 근거로 예비 유아교사 교육을 실시한 교수자의 어려움)

  • Ahn, Hyo-Jin;Kim, Eunhyun
    • Korean Journal of Childcare and Education
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    • v.9 no.5
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    • pp.181-200
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    • 2013
  • This study aimed at exploring how an instructor constructs meanings through content-based instruction (CBI) offered to pre-service teachers majoring in early childhood education. The course, early childhood mathematics education, was conducted during the spring semester in 2011. This study adopted a narrative inquiry, and data were collected through observations, interviews, and work samples. This study found that during the whole process from the preparation phase to the end-of-program evaluation, the instructor captured diverse challenging moments. During the preparation phase, she needed to have careful orchestration in designing lessons in order to overcome her feeling of pressure as a non-native speaker of English and design the integration of contents and English language learning to be truly powerful. In the phase of implementation, the lack of student motivation and building a good rapport between the instructor and the students were certainly challenges. The result of the student evaluations weakened her desire to implement CBI. The instructor incorporated diverse instructional strategies to overcome the obstacles. The instructor's experiences in this study will positively shape future educators' thinking and learning about meaningful and appropriate academic English instruction for content-area teaching of college students who were majoring in early childhood education.

A Study on Perceptions of Scientifically Gifted Middle School Students about Engineering Design Process (중학교 과학 영재들의 공학 설계 과정에 대한 인식 조사 연구)

  • Song, Shin-Cheol;Han, Hwa-Jung;Shim, Kew-Cheol
    • Journal of The Korean Association For Science Education
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    • v.37 no.5
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    • pp.835-846
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    • 2017
  • The purpose of this study is to investigate the perceptions of scientifically gifted middle school students about their engineering design process according to gender and talent division. The instrument in surveying their perceptions about the engineering design process consists of 24 items (Likert 5 point type) five domains: problem definition, information collection and utilization, idea generation, inquiry performance, and teamwork (communication, cooperation, leadership). A total of 102 scientifically gifted students participated in the survey, according to gender (69 males and 33 females) and talent divisions (physics, biological sciences, software, mathematics, space-geological sciences, and chemistry). They had a high level of awareness of their engineering design ability. It is necessary to develop a customized gifted-education program so that their talent in their field of interest can be fully displayed according to the gender and talent division. In addition, the teaching and learning methods and strategies of the engineering design program for the scientifically gifted middle school students should be established to fully reflect the practical needs of the talented.