• Title/Summary/Keyword: problem solving instruction

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On Teaching of the Concept of Angle in Education of Mathematics (수학교육에 있어서 각의 개념 지도 방안)

  • Park, Hong-Kyung;Kim, Tae-Wan;Jung, In-Chul
    • Journal for History of Mathematics
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    • v.18 no.4
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    • pp.85-100
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    • 2005
  • In recent papers (Pak et al., Pak and Kim), it was suggested to positively use the history of mathematics for the education of mathematics and discussed the determining problem of the order of instruction in mathematics. There are three kinds of order of instruction - historical order, theoretical organization, lecturing organization. Lecturing organization order is a combination of historical order and theoretical organization order. It basically depends on his or her own value of education of each teacher. The present paper considers a concrete problem determining the order of instruction for the concept of angle. Since the concept of angle is defined in relation to figures, we have to solve the determining problem of the order of instruction for the concept of figure. In order to do this, we first investigate a historical order of the concept of figure by reviewing it in the history of mathematics. And then we introduce a theoretical organization order of the concept of figure. From these basic data we establish a lecturing organization order of the concept of figure from the viewpoint of problem-solving. According to this order we finally develop the concept of angle and a related global property which leads to the so-called Gauss-Bonnet theorem.

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An Investigation on the Application for Problem Generation and Problem Reformulation by Pre-service Teachers (예비교사의 문제 생성과 재구성 활동에 관한 탐색)

  • Kim, Seul Bi;Hwang, Hye Jeang
    • Communications of Mathematical Education
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    • v.29 no.3
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    • pp.533-551
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    • 2015
  • Problem posing in school mathematics is generally regarded to make a new problem from contexts, information, and experiences relevant to realistic or mathematical situations. Also, it is to reconstruct a similar or more complicated new problem based on an original problem. The former is called as problem generation and the latter is as problem reformulation. The purpose of this study was to explore the co-relation between problem generation and problem reformulation, and the educational effectiveness of each problem posing. For this purpose, on the subject of 33 pre-service secondary school teachers, this study developed two types of problem posing activities. The one was executed as the procedures of [problem generation${\rightarrow}$solving a self-generated problem${\rightarrow}$reformulation of the problem], and the other was done as the procedures of [problem generation${\rightarrow}$solving the most often generated problem${\rightarrow}$reformulation of the problem]. The intent of the former activity was to lead students' maintaining the ability to deal with the problem generation and reformulation for themselves. Furthermore, through the latter one, they were led to have peers' thinking patterns and typical tendency on problem generation and reformulation according to the instructor(the researcher)'s guidance. After these activities, the subject(33 pre-service teachers) was responded in the survey. The information on the survey is consisted of mathematical difficulties and interests, cognitive and affective domains, merits and demerits, and application to the instruction and assessment situations in math class. According to the results of this study, problem generation would be geared to understand mathematical concepts and also problem reformulation would enhance problem solving ability. And it is shown that accomplishing the second activity of problem posing be more efficient than doing the first activity in math class.

The Use of Traditional Algorithmic Versus Instruction with Multiple Representations: Impact on Pre-Algebra Students' Achievement with Fractions, Decimals, and Percent (전통적 알고리즘 교수법과 다양한 표상을 활용한 교수법의 비교: 분수, 소수, 퍼센트 내용을 중심으로)

  • Han, Sunyoung;Flores, Raymond;Inan, Fethi A.;Koontz, Esther
    • School Mathematics
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    • v.18 no.2
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    • pp.257-275
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    • 2016
  • The purpose of this study was to investigate the impact of multiple representations on students' understanding of fractions, decimals, and percent. The instructional approach integrating multiple representations was compared to traditional algorithmic instruction, a form of direct instruction. To examine and compare the impact of multiple representations instruction with traditional algorithmic instruction, pre and post tests consisting of five similar items were administered with 87 middle school students. Students' scores in these two tests and their problem solving processes were analyzed quantitatively and qualitatively. The quantitative results indicated that students taught by traditional algorithmic instruction showed higher scores on the post-test than students in the multiple representations group. Furthermore, findings suggest that instruction using multiple representations does not guarantee a positive impact on students' understanding of mathematical concepts. Qualitative results suggest that the limited use of multiple representations during a class may have hindered students from applying their use in novel problem situations. Therefore, when using multiple representations, teachers should employ more diverse examples and practice with multiple representations to help students to use them without error.

Problem Development for PBL-based English Science Classes in Elementary Schools (초등학교에서 PBL 기반 영어과학수업을 위한 문제 개발 연구)

  • Park, In-Hwa
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.4
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    • pp.33-38
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    • 2020
  • Problem development is important to Problem-Based Learning (PBL) and is key to the creativity and problem-solving skills of successful learners. The purpose of this study is to have PBL classes that effectively materialize problem development stages, and to develop learning using problems suitable for elementary school English Science classes. In this study, the steps for developing the problems are identifying educational content, identifying learners' characteristics, discovering problems, setting up roles and situations, and writing problems. Based on these steps, five PBL problems were developed by selecting a subject suitable for the PBL method of an English Science class, which is one of the English curriculums in elementary schools. Creative thinking, problem-solving skills, presentation skills, confidence, self-directed learning, cooperation, and communication skills are required in the rapidly changing society of the 21st century, rather than teacher-centered instruction, acquiring knowledge for correct answers only, and uniform assessments, which still take place in many English education settings. Therefore, developing problems suitable for PBL learning should be continuously studied.

The Analysis of the Effect of Understanding and Practices of Character-centered Instruction Model on Pre-service Science Teachers' Awareness of Character Education (인성 중심 교수 모형에 대한 이해와 실천이 예비 중등 과학교사의 인성 교육에 대한 인식에 미치는 영향 분석)

  • Park, Jihun;Kang, Eugene;Nam, Jeonghee
    • Journal of the Korean Chemical Society
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    • v.65 no.4
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    • pp.279-295
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    • 2021
  • The purpose of this study was to investigate the effect of Character-centered instruction model on pre-service science teachers' awareness of both character education and character education in science education. First of all, pre-questionnaires about the sixteen pre-service science teachers' awareness of character education and character education in science education were asked. Through the lectures during a semester, they received an education about CoProC(Collaborative Problem-Solving for Character competence) model using Character-centered instruction model and character education. After the implementation, their changes of awareness were inspected through post-questionnaires. As a result of the study, it was revealed that general pre-service science teachers' pre-awareness of character education was mostly negative. The pre-service science teachers were more aware of character education in science classes than general character education. Even that, there seemed to be a greater tendency to think in connection with specific content and subject matter and character education rather than developing competencies due to the nature of the science subject itself. However, the experiences of the CoProC model changed their perception about character into a competent point of view, and thus influenced the change in their perception of character education. Therefore, education on character education methods for pre-service science teachers at teacher training institutions will increase their expertise in character education and help establish effective character education in school in the long term.

Analysis on the Thinking Characteristics of the Mathematically Gifted Students in Modified Prize-Sharing Problem Solving Process (변형된 상금 분배 문제의 해결과정에 나타나는 초등학교 수학영재들의 사고 특성 분석)

  • Kim, Woo-Hyun;Song, Sang-Hun
    • School Mathematics
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    • v.11 no.2
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    • pp.317-333
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    • 2009
  • The purpose of this study was to examine the thinking characteristics of mathematically gifted elementary school students in the process of modified prize-sharing problem solving and each student's thinking changes in the middle of discussion. To determine the relevance of the research task, 19 sixth graders enrolled in a local joint gifted class received instruction, and then 49 students took lessons. Out of them, 19 students attended a gifted education institution affiliated to local educational authorities, and 15 were in their fourth to sixth grades at a beginner's class in a science gifted education center affiliated to a university. 15 were in their fifth and sixth grades at an enrichment class in the same center. Two or three students who seemed to be highly attentive and express themselves clearly were selected from each group. Their behavioral and teaming characteristics were checked, and then an intensive observational case study was conducted with the help of an assistant researcher by videotaping their classes and having an interview. As a result of analyzing their thinking in the course of solving the modified prize-sharing problem, there were common denominators and differences among the student groups investigated, and each student was very distinctive in terms of problem-solving process and thinking level as well.

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Development of an Integrative Cognitive Rehabilitation Program for Brain Injured Patients in the Post-acute Stage (후급성기 뇌손상 환자를 위한 인지재활 프로그램의 개발)

  • Oh Hyun Soo;Kim Young Ran;Seo Wha Sook;Seo Yeon Ok
    • Journal of Korean Academy of Nursing
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    • v.35 no.2
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    • pp.270-282
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    • 2005
  • Purpose: This study was conducted to develop a comprehensive cognitive rehabilitation program that can be easily applied to brain injured patients by family members or nurses in community or hospital settings. Methods: A Systemic literature review design was used. Thirty-three related studies were reviewed. Result: Based on the results of the literature review, the training tasks for attention were designated to enhancing 4 hierarchical areas, i.e., focused, selective, alternating, and divided attention. On the other hand, the memory rehabilitation tasks mainly consisted of mnemonic skills, such as the association method which helps patients memorize given information by linking together common attributes, the visual imagery method, and self-instruction method. The problem solving rehabilitation program included a task of games or plays which stimulated the patients' curiosity and interest. The training tasks for problem solving were to encourage the process of deriving reasonable solutions for a problematic situation resembling real problems that the patients were faced with in their everyday life. Conclusion: It is expected that the cognitive rehabilitation program developed from this study could help patients having difficulty in their every day life, due to a reduced cognitive ability resulting from brain injury, to effectively adapt to every day life.

Effect of Treffinger’s Creative Problem Solving Model on Improvement of Elementary Student’s Creativity in Information Life Education. (Treffinger의 창의적 문제해결 수업모형을 정보생활수업에 적용하였을 때 아동의 창의성에 미치는 효과)

  • Kim, Hyun-Bae;Pak, Yeong-Im
    • Journal of The Korean Association of Information Education
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    • v.10 no.2
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    • pp.251-260
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    • 2006
  • The purpose of this study is to see the effect on the improvement of students' creativity through Treffinger's creative problem solving(CPS) model modified for Information life Education. In order to practice of this study, Software of the pleasant computer and one experimental group is chosen for the study and instructed 20 hours for consecutive 10 weeks with the modified CPS instruction model. The same creativi쇼 test is performed after experimental treatment in order to figure out the differences in the improvement of creativity in experimental group.

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An Analysis on the Educational Contents of the Research Paper Writing Program through Information Problem Solving Model (정보문제 해결모형을 통한 소논문쓰기의 교육내용 분석)

  • So, Byoung-Moon;Song, Gi-Ho
    • Journal of Korean Library and Information Science Society
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    • v.48 no.2
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    • pp.449-467
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    • 2017
  • The primary purpose of this study is to identify the educational contents of the research paper writing program. In addition, this searches for the appropriate application method as information literacy instructional course. For clarifying and supporting the purpose, this study analyzes the expository texts with the seven kinds of published references book on research paper writing program. As the results of examination, the study reveals that they are made up with seven important contents. Evidently, this analysis makes up for the information literacy strategy to intensify the information literacy instructional course. Convincingly, we propose the educational contents which contain ideas of 'making research plan,' 'managing information,' and 'writing essay' in order to optimize for the current school library environment.

Creative 3D game programming learning using Kodu visual programming language for elementary school students (Kodu 비주얼 프로그래밍 언어를 사용한 초등학생의 창의적 3D 게임프로그래밍 학습)

  • Rim, Hwa-Kyung;Cho, Yong-Nam
    • Journal of the Korea Society of Computer and Information
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    • v.17 no.11
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    • pp.53-61
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    • 2012
  • Kodu made by MS is a new 3D visual programming language made specifically for creating games. This language is based on creativity, problem-solving methods, and storytelling. So, it is very suitable for game programming education for kids. In this paper, we designed learning method to develop games based on elementary school students' creative thinking. The instruction was given to 27 6-grade elementary school students in 30 hours. And we applied the learning method in class. Also, we analyzed the changes in the learners' creative thinking and the learning effects of game programming.