• Title/Summary/Keyword: Mathematics Teaching and Learning Program

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A Study on the Relative Weights of the Components of Core Competence Based Learning Outcomes in STEAM (Science, Technology, Engineering Art, Mathematics) (융합인재교육에서 핵심역량 기반 학습성과 구성요소의 상대적 가중치 연구)

  • Park, Ki-Moon
    • 대한공업교육학회지
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    • v.40 no.2
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    • pp.239-258
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    • 2015
  • The purpose of this study is to provide basic data that can be used in a reasonable assessment of the learning outcomes of STEAM. It presented a learning outcome evaluation method, relative weights of key competencies standard that a learner should cultivate. For this study, a pairwise comparison questionnaire about the key competencies was conducted on the STEAM professionals, and AHP was applied to analyze the priority of main factors of key competencies. The results of this study are as follows. First, the importance of capabilities of convergence accomplishment and capabilities of convergent cognition, in the first layer of key competencies, were 39.4% and 36.8%, respectively. In the education evaluation of the STEAM, capabilities of convergence accomplishment and capabilities of convergent cognition showed similar level of importance, and were considered more important factor than capabilities of convergence attitude (23.8%). Second, the relative importance of capabilities of problem solving (20.0%) was highest in the second layer of key competencies, and followed by capabilities of creative thinking (18.3%), responsibility (15.3%), and understanding convergence knowledge (11.0%). Third, it will be a foundation of a competency evaluation, which reasonably evaluates, based on the relative weights, whether to accomplish educational objectives of the STEAM program In addition, this results is expected to become a guide to develop an education program that can improve the teaching and learning process and raise the learning outcome, as well as an education evaluation of the STEAM.

Analysis of Highschool Students' Error types and Correction in Learning Function (고등학생들의 함수단원 학습과정에서 나타나는 오류유형 분석과 교정)

  • Yang, Ki-Yeol;Jang, You-Sun
    • Journal of the Korean School Mathematics Society
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    • v.13 no.1
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    • pp.23-43
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    • 2010
  • This study is to investigate how much highschool students, who have learned functional concepts included in the Middle school math curriculum, understand chapters of the function, to analyze the types of errors which they made in solving the mathematical problems and to look for the proper instructional program to prevent or minimize those ones. On the basis of the result of the above examination, it suggests a classification model for teaching-learning methods and teaching material development The result of this study is as follows. First, Students didn't fully understand the fundamental concept of function and they had tendency to approach the mathematical problems relying on their memory. Second, students got accustomed to conventional math problems too much, so they couldn't distinguish new types of mathematical problems from them sometimes and did faulty reasoning in the problem solving process. Finally, it was very common for students to make errors on calculation and to make technical errors in recognizing mathematical symbols in the problem solving process. When students fully understood the mathematical concepts including a definition of function and learned procedural knowledge of them by themselves, they did not repeat the same errors. Also, explaining the functional concept with a graph related to the function did facilitate their understanding,

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A Comparative Study of Mathematics Textbook Between 2009 Revised Curriculum and IB Diploma Program - The case of high school Algebra - (2009 개정 수학교육과정과 IBDP 수학과 교육과정에서의 교과서 비교 연구 - 고등학교 대수 영역을 중심으로 -)

  • Yang, Hyun Ju;Choa, Jun Soo;Choe, Seung Hyun
    • Communications of Mathematical Education
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    • v.29 no.3
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    • pp.391-421
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    • 2015
  • The scientific technology developed rapidly and the internet became more popular, also, the world became interactive with one another and the word 'Global' became popular and built a new paradigm. As the development of the society, the ideal criteria for the competent student changed. Consequently, the attention for the globalized education increased. From the points of view of mathematical education, it became a important task to be prepared for international competitiveness for korean talented students. For theses reasons, this article analyzes the characteristics of IBDP and its textbook, which is an international official curriculum and one of the actualizing method for internalization Korean high school curriculum and text book, specifically, focusing on algebra part. Especially, Korean curriculum textbooks and the Mathematical Higher Level textbooks of IBDP was compared and analyzed. As a result, the depth and range of the content, standard level of the question, methods being used to explain the concept, type of questions as well as teaching - learning method were analyzed and in each chapter of the algebra we give meaningful result and proposed discussion.

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.

Teaching Strategy Development of Secondary School Chemistry Based on the Cognitive Levels of Students and the Cognitive Demands of Learning Contents (학습자의 인지수준과 학습내용의 인지요구도를 고려한 중등화학 학습전략 개발에 대한 연구)

  • Kang, Soon Hee;Park, Jong Yoon;Jeong, Jee Young
    • Journal of the Korean Chemical Society
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    • v.43 no.5
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    • pp.578-588
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    • 1999
  • The purpose of this study is to develope the more effective chemistry teaching strategy through analyzing the demanded cognitive levels of contents in high school chemistry I textbooks and the cognitive levels of students who learn these textbooks. For this purpose, the levets of cognitive development stages of 821 second grade students of high schools in Seoul City were anaIyzed using the GALT short version test. The demanded cognitive levels of understanding the contents of chemistry I textbooks in high school were analyzed using the curriculum analysis taxonomy developed by CSMS (Concept in Secondaly Mathematics and Science) program of the Great Britain. The resuIts showed that the proportion of students in the concrete operational stage, the transition stage, and the formal operational stage was l0.7%, 43.0% and 46.3%, respectively. The demanded levels of textbook contents were mostly the early formal operational stages. The concepts demanded the level of the late formal operational stage were 'atomic and molecular weight', 'stoichiometry of chemical reaction', and 'periodic properties of elements'. The results will be helpful for teachers in knowing what concepts are difficult for students to understand and in planning strategies for teaching those concepts. To demonstrate the application of the results obtained in this study, an example of developing teaching strategy which includes the adjustment of cognitive level of contents was shown.

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A study on the Development of Physics Education Program for Foreign Students of Natural Science and Engineering College in Korea (이공계 대학의 유학생을 위한 물리교육 프로그램 개발 연구)

  • Kim, Soocheol
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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    • v.9 no.9
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    • pp.1-16
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    • 2019
  • This study was carried out to develop a physics education program for foreign students of university in Korea to improve their ability to major in the field and to prevent them from becoming dropout. The subjects of the study are five Chinese students attending a natural science and engineering college. Prior to the development of the physics education program, the researchers developed basic physics textbooks for the foreign students and questionaries for diagnosis and summative evaluation, and utilized them to apply a total of seven classes. After the application of the classes, the results of the student's diagnosis and summative evaluation, the teacher's diaries, the observer's diaries, and the transcripts were analyzed by triangulation method. In addition, Nvivo12 was used for the analysis of the teacher's and observer's diaries to help with qualitative analysis. The results of the study are as follows: First, the oder and contents of physics education program for students of the natural science and engineering college were presented in detail, and basic physics textbooks and tools for diagnosis and summative assessment were developed. Second, as a result of the analysis of the diagnosis and summative assessment results of the program, the students' basic physics achievement improved by an average of 40 points due to the application of the developed program. Third, as a result of the application of the program using Nvivo12, meaningful node and actual cases were extracted. There were 10 types of nodes created such as understanding of the students, teaching method, rate of the participation, level differences, language problems, relevance to majors, curriculum and methods of education in the country of origin, cooperative learning, and interest inducement. The researcher provided suggestions on physics education methods for students of science and engineering colleges in Korea based on the related cases.

The Effects of Inductive Activities Using GeoGebra on the Proof Abilities and Attitudes of Mathematically Gifted Elementary Students (GeoGebra를 활용한 귀납활동이 초등수학영재의 증명능력 및 증명학습태도에 미치는 영향)

  • Kwon, Yoon Shin;Ryu, Sung Rim
    • Education of Primary School Mathematics
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    • v.16 no.2
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    • pp.123-145
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    • 2013
  • This study was expected to yield the meaningful conclusions from the experimental group who took lessons based on inductive activities using GeoGebra at the beginning of proof learning and the comparison one who took traditional expository lessons based on deductive activities. The purpose of this study is to give some helpful suggestions for teaching proof to mathematically gifted elementary students. To attain the purpose, two research questions are established as follows. 1. Is there a significant difference in proof abilities between the experimental group who took inductive lessons using GeoGebra and comparison one who took traditional expository lessons? 2. Is there a significant difference in proof attitudes between the experimental group who took inductive lessons using GeoGebra and comparison one who took traditional expository lessons? To solve the above two research questions, they were divided into two groups, an experimental group of 10 students and a comparison group of 10 students, considering the results of gift and aptitude test, and the computer literacy among 20 elementary students that took lessons at some education institute for the gifted students located in K province after being selected in the mathematics. Special lesson based on the researcher's own lesson plan was treated to the experimental group while explanation-centered class based on the usual 8th grader's textbook was put into the comparison one. Four kinds of tests were used such as previous proof ability test, previous proof attitude test, subsequent proof ability test, and subsequent proof attitude test. One questionnaire survey was used only for experimental group. In the case of attitude toward proof test, the score of questions was calculated by 5-point Likert scale, and in the case of proof ability test was calculated by proper rating standard. The analysis of materials were performed with t-test using the SPSS V.18 statistical program. The following results have been drawn. First, experimental group who took proof lessons of inductive activities using GeoGebra as precedent activity before proving had better achievement in proof ability than the comparison group who took traditional proof lessons. Second, experimental group who took proof lessons of inductive activities using GeoGebra as precedent activity before proving had better achievement in the belief and attitude toward proof than the comparison group who took traditional proof lessons. Third, the survey about 'the effect of inductive activities using GeoGebra on the proof' shows that 100% of the students said that the activities were helpful for proof learning and that 60% of the reasons were 'because GeoGebra can help verify processes visually'. That means it gives positive effects on proof learning that students research constant character and make proposition by themselves justifying assumption and conclusion by changing figures through the function of estimation and drag in investigative software GeoGebra. In conclusion, this study may provide helpful suggestions in improving geometry education, through leading students to learn positive and active proof, connecting the learning processes such as induction based on activity using GeoGebra, simple deduction from induction(i.e. creating a proposition to distinguish between assumptions and conclusions), and formal deduction(i.e. proving).

An Analysis on the Mathematical Problem Solving Strategies of Ordinary Students, Gifted Students, Pre-service Teachers, and In-service Teachers (일반학생, 영재학생, 예비교사, 현직교사의 다전략 수학 문제해결 전략 분석)

  • Park, Mangoo
    • Journal of the Korean School Mathematics Society
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    • v.21 no.4
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    • pp.419-443
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    • 2018
  • The purpose of this study was to analyze the problem solving strategies of ordinary students, gifted students, pre-service teachers, and in-service teachers with the 'chicken and pig problem,' which has multiple strategies to obtain the solution. For this study, 98 students in the 6th grade elementary schools, 96 gifted students in a gifted institution, 72 pre-service teachers, and 60 in-service teachers were selected. The researcher presented the "chicken and pig" problem and requested them the solution strategies as many as possible for 30 minutes in a free atmosphere. As a result of the study, the gifted students used relatively various and efficient strategies compared to the ordinary students, and there was a difference in the most used strategies among the groups. In addition, the percentage of respondents who suggested four or more strategies was 1% for the ordinary students, 54% for the gifted students, 42% for the pre-service teachers, and 43% for the in-service teachers. As suggestions, the researcher asserted that various kinds of high-quality mathematical problems and solving experiences should be provided to students and teachers and have students develop multi-strategy problems. As a follow-up study, the researcher suggested that multi-strategy mathematical problems should be applied to classroom teaching in a collaborative learning environment and reflected them in teacher training program.