• Title/Summary/Keyword: teaching for problem solving

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Analysis on Characteristics of University Students' Problem Solving Processes Based on Mathematical Thinking Styles (수학적 사고 스타일에 따른 함수의 문제해결과정의 특징 분석)

  • Choi, Sang Ho;Kim, Dong Joong;Shin, Jaehong
    • Journal of Educational Research in Mathematics
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    • v.23 no.2
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    • pp.153-171
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    • 2013
  • The purpose of this study is to investigate characteristics of students' problem solving processes based on their mathematical thinking styles and thus to provide implications for teachers regarding how to employ multiple representations. In order to analyze these characteristics, 202 university freshmen were recruited for a paper-and-pencil survey. The participants were divided into four groups on a mathematical-thinking-style basis. There were two students in each group with a total of eight students being interviewed. Results show that mathematical thinking styles are related to defining a mathematical concept, problem solving in relation to representation, and translating between mathematical representations. These results imply methods of utilizing multiple representations in learning and teaching mathematics by embodying Dienes' perceptual variability principle.

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A Study on Development of Teaching Materials for App Inventor Programming Using the Waterfall Model (워터폴 모델을 적용한 앱 인벤터 프로그래밍 교재개발 연구)

  • Seol, Moon-Gu;Son, Chang-Ik
    • Journal of The Korean Association of Information Education
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    • v.17 no.4
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    • pp.409-419
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    • 2013
  • The aims of this paper were to review the usable possibility of the educational App Inventor Program in the field of programming education and to develop programming teaching materials that can overcome limitations of the established programming instruction. The study showed that the learners' motivations were strengthened through smart device programs. Containing the elements of STEAM, the teaching materials were developed for the logical and systematic learning that deals with elementary students' real-life situations, and that helps children follow the procedures of software development. By introducing the Waterfall Model to the process of programming, students are able to follow the software developers' thinking process. In addition, beyond the simplistic programming language and simply acquiring related knowledge, the App Inventor programming was designed to enhance students' higher-order thinking skills such as creativity, problem solving ability, collaborative thinking, and so forth.

A Case Study on Students' Problem Solving in process of Problem Posing for Equation at the Middle School Level (방정식의 문제 만들기 활동에서 문제구조를 중심으로 문제해결에 관한 연구)

  • ChoiKoh, Sang-Sook;Jeon, Sung-Hoon
    • Communications of Mathematical Education
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    • v.23 no.1
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    • pp.109-128
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    • 2009
  • This study aimed to investigate students' learning process by examining their perception process of problem structure and mathematization, and further to suggest an effective teaching and learning of mathematics to improve students' problem-solving ability. Using the qualitative research method, the researcher observed the collaborative learning of two middle school students by providing problem-posing activities of five lessons and interviewed the students during their performance. The results indicated the student with a high achievement tended to make a similar problem and a new problem where a problem structure should be found first, had a flexible approach in changing its variability of the problem because he had advanced algebraic thinking of quantitative reasoning and reversibility in dealing with making a formula, which related to developing creativity. In conclusion, it was observed that the process of problem posing required accurate understanding of problem structures, providing students an opportunity to understand elements and principles of the problem to find the relation of the problem. Teachers may use a strategy of simplifying external structure of the problem and analyzing algebraical thinking necessary to internal structure according to students' level so that students are able to recognize the problem.

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An Analysis of Measurement Equivalence in a Teaching Aptitude and Personality Test for Pre-service Mathematics Teachers between a Graduate School of Education and a College of Education (교육대학원과 사범대학 예비수학교사의 교직 적성·인성 검사에 대한 측정의 동등성 분석)

  • Kim, Sungyeun
    • The Mathematical Education
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    • v.57 no.2
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    • pp.179-196
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    • 2018
  • The purpose of this study was to investigate the measurement equivalence and to suggest application ways in teaching aptitude and personality test results for pre-service mathematics teachers between a graduate school of education and a college of education. This study analyzed the scores of the teaching aptitude and personality test of 36 pre-service mathematics teachers enrolled in a graduate school of education and 111 pre-service mathematics teachers in a college of education by performing a multivariate generalizability analysis. The main results were as follows. First, graduate's pre-service mathematics teachers had a higher level of teaching aptitude and personality than that of college's pre-service mathematics teachers based on the total scores. In addition, graduate's pre-service mathematics teachers had higher levels of teaching aptitude and personality than those of college's pre-service mathematics teachers except for a creativity application domain based on the sub-domain scores. Second, cognitive domains were measured more precisely but affective domains were measured less precisely for graduate's pre-service mathematics teachers than for college's pre-service mathematics teachers. Third, regardless of school levels, Cronbach's ${\alpha}$ values, which might be overestimated by applying the classical test theory, were higher than dependability coefficients. Fourth, this study showed a somewhat negative result in ensuring the measurement equivalence for a problem solving exploration domain. However, regardless of school levels, this study indicated that the overall measurement was generally reliable on composite scores. Based on these results, it was confirmed that multivariate generalizability methodologies' approach can be useful for exploring the measurement equivalence issues. Finally, this study suggests how to utilize the results of the test, how to apply a multivariate generalizability analysis for detecting the measurement equivalence, and how to develop future research based on limitations.

A study of an effective teaching of listening comprehension (영어 청해력 향상을 위한 효율적인 학습 지도 방안)

  • Park, Chan-Shik
    • English Language & Literature Teaching
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    • no.1
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    • pp.69-108
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    • 1995
  • Listening comprehension can be defined as a process of an integrative, positive and creative activity through which listeners get the message of speakers' production using linguistic or non-linguistic redundancy as well as linguistic or non-linguistic knowledge. Compared with reading comprehension, it has many difficulties especially for foreigners. while it can be transferred to the other skills: speaking, reading, writing. With this said, listening comprehension can be taught effectively using the following teaching strategies. First. systematic and intensive instruction of segmental phonemes, suprasegmental phonemes and sound changes must be given to remove the difficulties of listening comprehension concerned with the identification of sounds. Second, vocabulary drill through various games and other activities is absolutely needed until words can be unconsciously recognized. Without this, comprehension is almost impossible. Third, instruction of sentence structures is thought to be essential considering grammar is supplementary to listening comprehension and reading comprehension for academic purpose. So grammar translation drills, mechanical drills, meaningful drills and communicative drills should be performed in succession with common or frequently used structures. Fourth, listening activities for overall comprehension should teach how to receive overall meaning of intended messages intact. Linguists and literatures have listed some specific activities as follows: Total Physical Response, dictation, role playing, singing songs, selective listening, picture recognition, list activities, completion, prediction, true or false choice, multiple choice, seeking of specific information, summarizing, problem-solving and decision-making, recognization of relationships between speakers, recognition of mood, attitude and behavior of speakers.

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The Perception of Teachers on the Instructional Method of Practical Arts Education (실과교과의 교수 .학습 방법에 대한 교사들의 인식)

  • 왕석순
    • Journal of Korean Home Economics Education Association
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    • v.15 no.1
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    • pp.15-32
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    • 2003
  • This study examined teacher perception of the instructional method. activities and material in terms of class quality enhancement. Also this study established instructional method. activities and material application Per 7th Practical Arts Education Course guidance domain. and type identification of the instructional method and activities unique to the Practical arts curriculum. Conclusions : 1. Teachers consider the instructional method and material beneficial. However in the item relevant to application of diverse instructional methods Per specific teaching objective and educational content in the actual classroom. the highest percentage responding. ‘relatively yes’ (39.7%) . balanced out with those answering. ‘no’(37.7%) 2. In linking the instructional method and material to secondary school home economics education, teachers experienced difficulty in teaching only the clothing education domain . 3. In each guidance domain, lecture method, problem-solving learning. cooperative learning. home project learning and functional learning were surveyed for instructional method suitability. Notably, home project learning was identified as a significant instructional method. This result begs in-dept analysis as home project learning may be utilized as a tool to compensate for the absence of practical educational objective condition fulfillment and to substitute for teachers unable to Provide such functional guidance in class. 4. In each guidance domain. role-playing. debate/discussion. case study research, practical exercise and activity reporting were rated as essential teaching ㆍ learning activities. 5. In each guidance domain.‘VCR’, ‘CD-ROM’ and ‘Web media’ were identified as suitable instructional materials .

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The effective use of literary text in English education (영어능력 개발을 위한 문학텍스트 활용방안)

  • Han, Sang-Taek
    • English Language & Literature Teaching
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    • v.7 no.1
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    • pp.179-208
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    • 2001
  • Using literary materials as resources for English learning rather than an object of literary study can be a genuine tool for the students to learn English in the form of oral and written communication. This case study treated the applications of a whole text to the overall course divided into pre-reading activities, while-reading activities, and post-reading activities and the applications of some partial passages extracted from various texts to teaching objectives with many levels of difficulty. This study found that literary texts could be good materials to teach the target language in EFL setting. The English-speaking students with little linguistic competence as a foreign language may be limited in learning English at first, but soon they can accelerate their linguistic competence by reinforcing the literary competence through the literary texts. To achieve effectively a desired goal through the use of literary texts as resources for language development several concrete techniques should be introduced: teacher-guided question strategies laying a central emphasis on the text itself, a problem-solving ability through student-centered activities, process-based and open-ended activities should be presented in a variety of ways using many appropriate activities according to teaching procedure with a careful selection of the texts.

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"Belt and Road" and Arbitration Law Teaching and Education System Theory

  • Fuyong, Zhu
    • Journal of Arbitration Studies
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    • v.30 no.3
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    • pp.47-66
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    • 2020
  • Due to the division of China's departmental laws, the disconnect between theory and practice, and the influence of traditional academic thinking on the understanding of the knowledge structure of arbitration legal talents in practice, the construction of law school colleges, teaching teams, and research centers mostly revolves around departmental laws, tearing the connection of the arbitration legal system. The student-centered, process-guaranteed, and result-oriented arbitration master of law training model is "virtualized," the shaping of arbitration professionalism is ignored, the coverage of practical teaching is narrowed, and the arbitration legal profession is mostly formalized. The prevalence of specialized curriculum systems shortage, single faculty, formalized practical teaching, outdated curriculum settings, unsuitable curriculum system design for development, and inaccurate professional curriculum standards and positioning renders it difficult to integrate the "Belt and Road." The cutting-edge, the latest research results, and practical experience cannot reflect the connotation, goals, and requirements of "Entrepreneurship" education, as well as arbitral issues such as the ineffective monitoring of practical education and the inconsistent evaluation of standards and scales. Under the background of the "Belt and Road," based on system theory and practice and through training goals that innovate and initiate organizational form, activity content, management characteristics, assessment and support conditions, etc., the arbitration law teaching curriculum system is gradually improved and integrated. Through the establishment of a "Belt and Road" arbitration case file database and other measures, a complete arbitration law theory and practice teaching guarantee system has been established. Third parties are introduced, arbitration law experimental modules are developed, students are guided how to discover new knowledge, new contents are mastered, solidarity, cooperation, and problem-solving capabilities are cultivated in the practice of the "Belt and Road," and quality education, vocational education, and innovation education are organically integrated. In order to implement the requirements of arbitration law education, innovation development and collaborative management of arbitration law teaching practice base should be cultivated, thus giving full play to the effect of collaborative education between universities and arbitration institutions.

A Comparative Analysis on Research Trends of Secondary Mathematics Education between Korea and Overseas (국내외 수학교육 연구 동향 비교 분석)

  • Park, Seon-Yeong;Kim, Won-Kyung
    • The Mathematical Education
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    • v.50 no.3
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    • pp.285-308
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    • 2011
  • The objective of this study is to review how researches on mathematics education are being conducted currently in Korea and overseas and to examine the current state of domestic researches on mathematics education from a broader view. Although many efforts have been made to understand trends in researches on mathematics education, there have been few in depth studies on research trends in overseas or for comparison between domestic and overseas trends. Thus, this study classified and analyzed 181 domestic articles between 2005 and 2009 in the journals and and 201 overseas articles in the journals and according to year, research area, research contents, school level, research method, and key words using the PME classification system with some modification. Through these analysis, we examined research trends on secondary mathematics education in Korea and overseas. The research findings are as follows. First, 'teaching learning process' was a spotlight area both at home and overseas, and 'realistic mathematics' and 'social cultural subjects' were not covered much either at home or overseas. 'Mathematical communication' occupied a very small portion in Korea but was a highly interesting area in overseas research. Second, research contents of interest were different between Korea and overseas. Research on general area was the mainstream. But geometry and statistics were mainly studied in Korea and algebra and analysis in overseas. Third, research related to middle school was twice more than that related to high school in Korea, But, research related to middle school was the same as high school in overseas. Fourth, qualitative research was the absolute majority both at home and overseas, and philosophical didactical analysis was used only in Korea. Fifth, the order of key words were problem solving - teacher - curriculum - creativity - textbook in Korea, but teacher - teaching - semiotic - affective factor - proo f- problem solving - technology in overseas.

An Analysis on the Error Types of Elementary Students and Pre-service Teachers in Mixed Calculations of Natural Number (자연수의 혼합계산에 대한 초등학생들과 예비교사들의 오류 분석)

  • Lee, Daehyun
    • Journal of the Korean School Mathematics Society
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    • v.20 no.2
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    • pp.141-161
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    • 2017
  • As it's important to understand the order of operation in the mixed calculation of natural number and perform it, mathematics curriculums and textbooks focused that students can calculate with understanding the order of operation and its principles. For attaining the implications of teaching about the mixed calculations, this study analyzed the problem solving abilities and error types of 67 elementary students and 57 pre-service teachers using questionnaire which was developed in this study and composed of numeric expressions and word problems. The conclusions drawn from this study were as follows: Students were revealed the correct rates(86.2% and 73.5%) in numeric expressions and word problems, but they were showed the paradigmatic error types-the errors of the order of operation and the composition of numeric expression from word problems. Even though the correct rates of the preservice teachers were extremely high, the result of problem solving processes required that it's needed to be interested in teaching the principles of the order of operation in the mixed calculations. In addition, subjects were revealed the problems about using parentheses and equal sign.

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