• Title/Summary/Keyword: problem solving instruction

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Exploring on Learning Process of Higher-Level Performers during Peer Tutoring in Mathematics (동료를 지도하는 수학 학습 능력 우수 학생의 학습 과정 탐색)

  • Lee, Hwan-Chul;Huh, Nan;Kang, Ok-Ki
    • School Mathematics
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    • v.12 no.2
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    • pp.177-191
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    • 2010
  • Small Group Collaborative Instruction in school settings has been endorsed by many educational experts over the years. Some studies found that learners greatly benefit from one another through communication and interaction with their peers. These studies previously indicated improvement of a learner‘s academic ability as well as the application of the affective domain when using this type of instruction. Lower-level students with limited mathematical abilities improved their problem-solving and conceptual thinking skills when tasked to work with other learners. On the other hand, the effectiveness of this process was questioned to be less evident with higher-level performers. Therefore, this study was designed to observe the efficacy of Small Group Collaborative Instruction on higher-level students and to explore their learning process as they interact with and teach lower-level students. This study observed that higher-level students use high-level mathematical thinking skills when helping lower-level students, and they improved problem-solving ability as well as communication skills.

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Application of the situation-problems for learning mathematics (수학 학습을 위한 상황문제의 활용)

  • 장혜원
    • School Mathematics
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    • v.4 no.3
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    • pp.483-494
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    • 2002
  • A Situation-problem, one of the problems in school mathematics, plays a role as the starting point of teaming mathematics. It leads to construct knowledge which is a tool for solving the problems. Whether the problem is a situation-problem or not, it depends upon how to use that problem. Since posing situation-problems is accompanied by prior analysis and planning for teaching in the class, it is a difficult task. This paper focuses on the characteristics of situation-problems and on how their characteristics are realized in the process of classroom instruction. For this purpose, it analyzes the context of classroom instruction to which the 'puzzle problem' model suggested by Brousseau is applied. The model is considered as a typical situation-problem, which aims at proportionality and linearity. In addition, this paper suggests various sources of information that are useful in posing the situation-problems related to the ratio concepts.

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Instructional Effects of a Problem Solving Model on Students' Achievement, Science Process Skills, and Perceptions of Science Activities (문제 해결식 교수 방법이 학생의 성취도, 과학 과정 기술, 과학 활동 인식에 미치는 효과)

  • Noh, Tae-Hee;Kim, Dong-Youn;Kim, Hye-Kyung;Hong, Eun-Kyung;Kang, Suk-Jin;Chae, Woo-Ki;Noh, Suk-Goo
    • Journal of The Korean Association For Science Education
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    • v.17 no.1
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    • pp.45-53
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    • 1997
  • The purpose of this study was to investigate the instructional effects of a problem solving model on students' achievement, science process skills, and perceptions of science activities. The problem solving model was developed on the basis of the SSCS (Search, Solve, Create, Share) problem solving model while considering Korean educational situations under a national curriculum. The model developed is composed of 4 stages; identify, solve, create, and share. In this research, the treatment and control groups (6 classes) were selected from a middle school in Seoul and taught about the separation of mixture for four weeks. Prior to instruction, the Group Assessment of Logical Thinking and the Learning Approach Questionnaire were administered, and their scores were used as covariate and blocking variable, respectively. During instruction, classroom observations for each group were conducted with a researcher-made checklist. Immediately following the instructions, students' achievement, science process skills, and perceptions of science activities were measured by a researcher-made achievement test, the Middle Grades Integrated Science Process Skills Test(MIPT), and the Perceptions of Science Activities Questionnaire, respectively. The results indicated that students in the treatment group achieved significantly better than those in the control group. Although students in the treatment group were found to use more science process skills correctly during their science activities, the MIPT scores of the treatment group were not significantly higher than those of the control group. No interaction with students' learning approach was found for both students' achievement and science process skills. On the questionnaire of students' perceptions of science activities, the treatment group showed more positive perceptions and interest than the control group. Educational implications are discussed.

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A Study on the Analysis of Educational Objectives of 'Library and Information Life' Textbooks Based on the Eisner Curriculum (아이즈너 교육과정에 의한 '도서관과 정보생활' 교과서 교육목표 분석에 관한 연구)

  • Byeong-Kee Lee
    • Journal of the Korean Society for Library and Information Science
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    • v.58 no.2
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    • pp.57-80
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    • 2024
  • Eisner emphasized the importance of problem-solving objectives and expressive objectives in addition to behavioral objectives, and communication through multiple modalities including linguistic, visual, aural, spatial, gestural modes. This study analyzes 'Libraries and Information Life,' a textbook developed for information literacy instruction, by dividing it into educational objectives types(behavioral, problem-solving, expressive) and multimodal modes(linguistic, visual, auditory, spatial, and gestural), and seeks to derive implications for setting educational objectives for information literacy instruction and developing textbooks. The textbook has four volumes for elementary low-grade, elementary high-grade, middle school, and high school levels. Educational objectives were extracted from the textbooks, and 3 librarian-teachers were engaged in the analysis of these objectives. The main findings and implications of this study are as follows. First, when looking at the types of educational objectives, the proportion of behavioral objectives was found to be excessively high, and there is a need to strengthen the proportion of problem-solving objectives and expressive objectives. Second, problem-solving objectives tend to overlap with behavioral objectives, indicating a need to develop problem-solving objectives with defined conditions and solution requirements. Third, expressive objectives concentrated in specific units need to be placed evenly in other units. Fourth, in the case of multi-modality mode, the proportion of the linguistic mode must be reduced, the proportion of the visual, auditory, spatial, and gestural modes must be increased, and it is necessary to set educational objectives with clear characteristics of each mode.

Assessment of Mathematical Creativity in Mathematical Modeling

  • Jang, Hong-Shick
    • Research in Mathematical Education
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    • v.15 no.2
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    • pp.181-196
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    • 2011
  • In mathematical modeling tasks, where students are exposed to model-eliciting for real and open problems, students are supposed to formulate and use a variety of mathematical skills and tools at hand to achieve feasible and meaningful solutions using appropriate problem solving strategies. In contrast to problem solving activities in conventional math classes, math modeling tasks call for varieties of mathematical ability including mathematical creativity. Mathematical creativity encompasses complex and compound traits. Many researchers suggest the exhaustive list of criterions of mathematical creativity. With regard to the research considering the possibility of enhancing creativity via math modeling instruction, a quantitative scheme to scale and calibrate the creativity was investigated and the assessment of math modeling activity was suggested for practical purposes.

The Relationship between Teacher, Instruction Variables and Students - Achievement based on TIMSS-1999 - (교사, 수업 변인과 학생 성취도의 상관관계 - TIMSS-1999 결과 분석 -)

  • Han, Kyeonghye-Hye
    • The Mathematical Education
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    • v.44 no.3 s.110
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    • pp.409-433
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    • 2005
  • This article is to provide information on school contexts for learning and instruction of mathematics based on the results and data of TIMSS 1999. It is organized around two major topics: teacher and students achievement, instruction and students achievement In this article the following summarizes the major findings. First, about $50\%$ of Korean eight-grade students were taught mathematics by teachers in their 30s, and this was higher than the international average. Most of teachers in Korea had certification of teachers majors in mathematics. Korean teachers reported relatively low confidence to teach mathematics compared to other counties. And Korean students taught by teachers who believes they were well prepared attained low achievement scores in contrast to international result. Second, korean teachers spent about $50\%$ of their formally scheduled school time teaching their subject, but is was below the international average. They spent much more time on administrative duties and other related activities than other countries. Korean students reported that most of their class time were spent lecture style presentations by teacher. Also they reported that teachers showed them how to do mathematics. The percentages of Korean students were placed on the low level of index of emphasis on mathematics reasoning and problem-solving. The students taught by teachers who emphasized reasoning and problem-solving showed low achievement scores in contrast with result of the previous literatures. Korean teachers didn't seem to emphasize homework and assessments. Internationally, teachers frequently used teacher-made objective tests and projects or practical exercises, but Korean teachers die less in most of categories. Based on the above findings, this article presents implications about teacher education, reduction of administrative working in teachers tasks, using everyday life topics, as learning materials, specialization instruction methods for each subject matter. This article is a kind of descriptive and factual in nature, but some attempt has been made to contextualize these results focused on teachers and instruction.

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Development and evaluation of Home Economics teaching·learning process plans applied Problem Based Learning focusing on 'food and nutrition' unit for students with intellectual disability (지적장애 학생을 위한 문제중심학습(PBL) 적용 가정과 식생활 교수·학습 과정안 개발과 평가)

  • Kim, yun-ju;Chae, Jung-Hyun
    • Journal of Korean Home Economics Education Association
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    • v.30 no.2
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    • pp.39-56
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    • 2018
  • The purpose of this study was to develop Home Economics(HE) teaching and learning process plans applied Problem Based Learning(PBL) focusing on 'food and nutrition' unit for students with intellectual disability and to evaluate the effects of the HE instruction on their food choice·management knowledge and problem-solving skills after implementing the instruction for students with intellectual disability. To develop HE teaching and learning process plans applied PBL focusing on 'food and nutrition' unit for students with intellectual disability, problems that arise in daily life to trigger interest of students were firstly developed. The selected problems and teaching and learning process plans were reviewed for validity by one home economics education professor and three teachers who are experts in special education. This study used the one group pretest and posttest design, sampling 6 students who are in special-education middle school with the intellectual disability. After HE instruction of 6 sessions applied PBL method, this study tested the effects of the instruction. The first three sessions taught how to choose and keep food. The fourth session taught purchasing food ingredients and keeping them for sandwiches. The fifth and sixth sessions let the students make sandwiches and give them to others. The instruments of the study comprised of tools for food choice and management knowledge, tools for problem-solving skills evaluation, self-evaluation sheets, evaluation form of course satisfaction for students, evaluation form of behavior in class for teachers, and daily observation journal and all tools. These instruments were proved to have reliability and validity. The results of this study are as follows. First, all six students who took HE instruction applied PBL method focusing on 'food and nutrition' unit scored 30 points higher out of 100 points after taking the instruction in food choice and management knowledge and scored 5 points higher out of 14 points in problem-solving skills on average. Therefore, it was interpreted that HE instruction applied PBL affected the food choice·management knowledge and the problem solving skills of students with intellectual disability. Secondly, the students with intellectual disability participated actively in HE instruction applied PBL focusing on 'food and nutrition' unit and expressed satisfaction. Three special education experts evaluated HE teaching·learning process plans applied PBL focusing on 'food and nutrition' unit to be well-developed. This study showed that HE instruction applied PBL focusing on 'food and nutrition' unit allowed the students with intellectual disability to acquire comprehensive skills in choosing, keeping, and making safe food and helped them solve problems of their life by themselves. Therefore I suggest that Home Economics should be adopted as a formal subject matter in special school curriculum for students with intellectual disability.

Development of Problem-Based Learning in an English-Mediated College Science Course: Design-Based Research on Four Semesters Instruction

  • LAHAYE, Rob;LEE, Sang-eun
    • Educational Technology International
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    • v.19 no.2
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    • pp.229-254
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    • 2018
  • Universities in Korea have driven universities' new attempts to adopt more learner-centered and active learning in English. Problem-based Learning (PBL) is one of the well-known constructive teaching and learning methodologies in higher education. Our research goal was to design and develop the optimal PBL practices for a college physics course taught in English to promote learning and course satisfaction. For four semesters, we have tried and adjusted PBL components, and looked at the trend of the exam scores and group work achievement in each semester. We found that the number of problems and the duration of problem solving are the critical factors that influence the effect of PBL in a college physics course taught in English by going through iterative implementation. The iterative process of applying, designing, and constructing PBL to physics classes was meaningful not only in that we have found the optimal PBL model for learning a college physics course, but also in that we have been reflecting on the continuous interaction with learners during the course.

The Impact of Dynamic Geometry Software on High School Students' Problem Solving of the Conic Sections (동적기하가 원뿔곡선 문제 해결에 미치는 영향)

  • Hong, Seong-Kowan;Park, Cheol-Ho
    • The Mathematical Education
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    • v.46 no.3
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    • pp.331-349
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    • 2007
  • This study aims to improve the teaching and learning method on the conic sections. To do that the researcher analyzed the impact of dynamic geometry software on students' problem solving of the conic sections. Students often say, "I have solved this kind of problem and remember hearing the problem solving process of it before." But they often are not able to resolve the question. Previous studies suggest that one of the reasons can be students' tendency to approach the conic sections only using algebra or analytic geometry without the geometric principle. So the researcher conducted instructions based on the geometric and historico-genetic principle on the conic sections using dynamic geometry software. The instructions were intended to find out if the experimental, intuitional, mathematic problem solving is necessary for the deductive process of solving geometric problems. To achieve the purpose of this study, the researcher video taped the instruction process and converted it to digital using the computer. What students' had said and discussed with the teacher during the classes was checked and their behavior was analyzed. That analysis was based on Branford's perspective, which included three different stage of proof; experimental, intuitive, and mathematical. The researcher got the following conclusions from this study. Firstly, students preferred their own manipulation or reconstruction to deductive mathematical explanation or proving of the problem. And they showed tendency to consider it as the mathematical truth when the problem is dealt with by their own manipulation. Secondly, the manipulation environment of dynamic geometry software help students correct their mathematical misconception, which result from their cognitive obstacles, and get correct ones. Thirdly, by using dynamic geometry software the teacher could help reduce the 'zone of proximal development' of Vigotsky.

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The Development of Teaching Strategy for the Enhancement of the Creative Problem Solving Thinking Skills through General Chemistry Laboratory and the Effects of It's Applications(I) (창의적 문제 해결력 지향 일반화학실험 교수 전략 개발 및 적용 효과(제I보))

  • Bang, Dam-I;Park, Ji-Eun;Song, Ju-Yeon;Kang, Soon-Hee
    • Journal of the Korean Chemical Society
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    • v.55 no.2
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    • pp.290-303
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    • 2011
  • The purpose of this study was to introduce the practical model on the enhancement of the divergent and convergent thinking skills through inquiry instruction in science class. In this study, the creative thinking skill has been defined by divergent thinking skill as the narrow sense. In the science field, the problem solving thinking skill is just same as the inquiry thinking skill. Also, the problem solving thinking skill has been defined by convergent thinking skill as the critical thinking skill. This new instruction had been used for the college student in the class of general chemistry laboratory for the one semester. The first results had been founded that the students' divergent thinking skill had been increased significantly. Especially, the skills of recognition of problems, the skills of making hypothesis, and the skills of transformation and interpretation of data had been increased significantly. The second results had been founded that the students' convergent thinking skill had been increased significantly. Especially, the skills of making hypothesis, the skills of transformation and interpretation of data, and the skills of making conclusion and generalization had been increased significantly. The third results had been founded that the students' the creative and problem solving thinking skill had been increased significantly. Especially, the rest of all skills exception the skill of control variables had been increased significantly.