• Journal of Elementary Mathematics Education in Korea
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• v.1 no.1
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• pp.67-86
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• 1997

The purposes of this paper are to show problem-solving strategies and their typical problems to suggest specific ways to teach strategies to promote problem-solving abilities. (1) Problem-solving strategies can be divided into general strategies and specific strategies. General strategies refer to procedural teaching-learning activities based on Polya's 4 step problem-solving. Specific strategies refer to Lenchner's 12 problem solving strategies and their characteristics which are helpful to the substantial solution of specific problems. (2) Concerning to problem-solving strategies teaching, the followings are suggested. First, the sequence of strategy teaching should be from easy to difficult ones, from short to long ones. Second problems for strategy training should be simple and good enough to serve as examples of the strategies. Repetition with similar problems are needed. Third, analysis and comparison of various strategies, and extension and adaptation of the strategies to complicate problems are needed. Fourth, procedures of strategies teaching are the follows: Have students make their own strategies focused on the solution process; Have students solve the problems with expectation of the solving methods; Have students compare and reflect on their solving methods; And assess problem - solving processes.

• The Journal of Korean Association of Computer Education
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• v.12 no.4
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• pp.1-11
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• 2009

There are several studies in order to learn about programming language. This paper develops a peer agent system based on teaching and learning strategies in order to improve problem-solving ability. Problem-solving ability involves three components - content understanding, domain-dependent problem-solving strategies, and self-regulation. This paper shows the teaching and learning strategies about components of problem-solving for learning to program and the peer agent system uses the teaching and learning strategies. This study intents to analyze the educational effects of the peer agent system. The results show that the system has superior effects on problem-solving ability compared to traditional programming courses or pair programming courses. It means that the peer agent system is the effective educational system in improving student's problem-solving ability.

• Research in Mathematical Education
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• v.9 no.1 s.21
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• pp.1-9
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• 2005

This paper investigates instructional strategies with potential for improving students' achievement in word problem solving. This review compares and analyzes the direct instruction (DI) and cognitively guided instruction (CGI) research on K-3 word problem solving mathematics students in a demonstration of my position that teachers need to understand student mathematical thinking to enhance students' achievement in word problem solving. CGI provides a more appropriate instructional model than DI for teaching word problem solving. For example, student-centered, conceptual understanding, and children's informal or invented problem solving strategies communicating with each other mathematically, etc. Korean teachers and teacher educators need to consider implementing CGI teaching strategies.

• Korean Journal of Child Studies
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• v.28 no.4
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• pp.319-331
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• 2007

This review of literature establishes a contemporary meaning of mathematical problem solving including young children's mathematical problem solving processes/assessments and teaching strategies. The contemporary meaning of mathematical problem solving involves complicated higher thinking processes. Explanations of the mathematical problem solving processes of young children include the four steps suggested by $P{\acute{o}}lya$(1957) : understand the problem, devise a plan, carry out the plan, and review/extend the plan. Assessments of children's mathematical problem solving include both the process and the product of problem solving. Teaching strategies to support children's mathematical problem solving include mathematical problems built upon children's daily activities, interests, and questions and helping children to generate new approaches to solve problems.

• Journal of the Korean School Mathematics Society
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• v.12 no.4
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• pp.433-452
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• 2009

This study investigated the teaching strategies of two exemplary American teachers regarding word problems and their impact on students' ability to both understanding and solving word problems. The teachers commonly explained the background details of the background of the word problems. The explanation motivated the students' mathematical problem solving, helped students understand the word problems clearly, and helped students use various solving strategies. Emphasizing communication, the teachers also provided comfortable atmosphere for students to discuss mathematical ideas with another. The teachers' continuous questions became the energy for students to plan various problem solving strategies and reflect the solutions. Also, this research suggested a complementary model for Polya's problem solving strategies.

• Journal of Korean Elementary Science Education
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• v.33 no.1
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• pp.105-114
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• 2014

The purpose of this study was to develop a teaching strategy focused on problem solving process and explore its effects on science creative problem solving ability, science process skills, science academic achievements and scientific attitudes of students after applying it. Teaching strategy focused on problem solving process employed brainstorming and PMI thinking strategies. The participants were the third grade students of both an experimental class(26 students) and a comparative class(25 students) at the S elementary school located in Goyang-City, Kyonggi Province. The developed strategy was applied to the experimental class for 9 periods of 'Separation of mixture' unit. The results of the tests on the science creative problem solving ability, the science process skills, scientific achievement and scientific attitude were statistically higher in the experimental class.

• Journal of the Korean Home Economics Association
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• v.40 no.4
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• pp.153-165
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• 2002

The purpose of this study was to examine the effect of socioeconomic status and the children's sex on mothers'teaching strategies and their children's responses during a cooperative problem-solving task. The subjects were 15 higher SES mothers and their 5-years-old children dyads. The mothers' teaching strategies and their children's responses were videotaped during a cooperative problem solving task and analyze using a scheme developed by Kermani and Brenner. The results of this study were as follows. First, the mothers with higher SES were more likely to promote 'independence' and less likely to 'verbal prompt'direct performance' than the mothers with lower SES. Second, the children from higher SES families were more likely to refuse their mothers' assistance. Third, the mothers of boys were more likely to use the 'direct teaching'and 'modify'strategies and less likely to use 'independence promoting'strategy than the mothers of girls. Finally, girls were more likely than boys to ask questions for assistance or assurance.

• International Journal of Computer Science & Network Security
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• v.22 no.5
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• pp.255-265
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• 2022

Educational programs for students with intellectual disabilities have undergone drastic changes in pursuit of the general curriculum. Accordingly, teachers in various fields, including mathematics, strive to find effective methods that enhance learning. The objective of this systematic review is to examine the field of teaching mathematics to students with intellectual disabilities to investigate relevant effective teaching strategies and required teaching skills. To achieve this goal, studies published during the period 2018-2021 were reviewed. Findings indicate the inclusion of nine studies that met the inclusion criteria out of 55 studies. The included studies found that the system of least prompts (SLP) in conjunction with feedback and error correction, and schema-based instruction are generally the most effective strategies in teaching mathematical skills to students with intellectual disabilities. Addition is the most targeted skill, followed by subtraction and algebra problem solving. The least targeted skills are multiplication, recognition of geometric shapes, calculating price after discount, rapid recognition of numbers, and rapid problem solving. The paper provides recommendations and suggests venues of future research.

• East Asian mathematical journal
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• v.32 no.2
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• pp.253-289
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• 2016

This study attempted to figure out new teaching method of mathematics teaching-learning by applying Polya's 4-level strategy to mild disability students at the H Special-education high school where the research works for. In particular, epilogue and suggestion, which Polya stressed were selected and reconstructed for mild disability students. Prior test and post test were carried by putting the Polya's problem solving strategy as independent variable, and problem solving ability as dependent variable. As a result, by continual use of Polya's program in mathematics teaching course, it suggested necessary strategies to solve mathematics problems for mild disability students and was proven that Polya's heuristic training was of help to improve problem solving in mathematics.

• Journal of Korean Elementary Science Education
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• v.28 no.3
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• pp.229-244
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• 2009

This study was initiated to investigate sixth graders' gender characteristics in science problem solving process and thus find out the proper learning and teaching strategies for each gender. A total of 14 students, each of seven male and female students, were selected through three tests, including items of science knowledge, science inquiry, and creativity. Students were required to solve 26 items and to think aloud for researchers help understand how they thought in their problem solving process. Males and females showed some similarity and difference in four steps of problem solving process, understanding, planning, solving, and reviewing. We found gender differences in self-confidence of their answer. This study is expected to help develop teachers' differential teaching strategy for male and female students' science problem solving.