• East Asian mathematical journal
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• v.30 no.2
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• pp.149-172
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• 2014

The problems of optimization addressed in the high school curriculum are usually posed in real-life contexts. However, because of the instructional purposes, problems are artificially constructed to suit computation, rather than to reflect real-life problems. Those problems have thus limited use for teaching 'practicalities', which is one of the goals of mathematics education. This study, by utilizing 'GeoGebra', suggests the optimization problem solving related to the quadratic curve, using the contour-line method which contemplates the quadratic curve changes successively. By considering more realistic situations to supplement the limit which deals only with numerical and algebraic approach, this attempt will help students to be aware of the usefulness of mathematics, and to develop interests in mathematics, as well as foster students' integrated thinking abilities across units. And this allows students to experience a variety of math.

• School Mathematics
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• v.2 no.2
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• pp.333-355
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• 2000

In this paper, possibility of practical use of cryptarithmetic problems in teaching and learning of mathematics is discussed. There might be seven cases to use them practically like followings: (1) Cryptarithmetic problems might be used for deepening the mathematical knowledges. (2) Cryptarithmetic problems might be used for fostering mathematical thinking abilities. (3) Cryptarithmetic problems might be used for fostering problem solving abilities. (4) Cryptarithmetic problems might be used as open ended problems. (5) Cryptarithmetic problems might be used as materials for personalized learning. (6) Cryptarithmetic problems might be used as materials for cooperative learning. (7) Cryptarithmetic problems might be used as materials for problems posing.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.3
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• pp.409-434
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• 2015

The purpose of this study was to investigate the influences of teaching mathematics for social justice on students'interest towards mathematics and perceptions of mathematical values. Eighteen 6th grade students, at B elementary school in Seocho-gu, Seoul, who wished to involved in the study participated in the 10 hour lessons. During the lessons for social justice, the researchers analyzed the students' reactions in the lessons according to the three categories: Perceiving given problematic situations of social conflicts, searching for problem-solving methods based on mathematical analysis, and changing social behaviors to solve life issues through mathematics. They also examined changes of students' interest towards mathematics and perceptions of mathematical values through the activities and reactions using the preliminary questionnaires, observations of lessons, and students' activity sheets. The research results showed that the students perceived mathematics as a tool for social justice in mathematics lessons, tried to find problem-solving methods based on mathematical analysis, and expressed their active social behaviors by cultivating the will of practice to solve life issues through mathematics. Based on those findings, the study reached the following conclusions. First, the students recognize many of the social problems in their societies as social justice regardless of their economic levels. Second, learning activities need to design in a way that students can accept the social problems as realistic situations in teaching mathematics for social justice. Third, students look at the world from a mathematical perspective, have interest in mathematics, and recognize the values of mathematics in teaching mathematics for social justice.

• Journal of Engineering Education Research
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• v.22 no.4
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• pp.12-21
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• 2019

This paper asserts to teach engineering writing while teaching cornerstone design as well as addresses its background of the assertion. Cornerstone design course in which students study what is engineering design and what is the design process by team activities provides suitable circumstance for them to learn technical writing for solving communication problems and to produce some language artifacts. Studying the process-based writing and making use of the written artifacts in the course of engineering design process boosts design thinking for developing creative design concepts and mediates problem solving communications among design stakeholder.

• Research in Mathematical Education
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• v.6 no.2
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• pp.135-143
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• 2002

This study was executed in M elementary school for a week, T elementary school for a week, N high school for a week, and S high school for a week in 2000. There were mathematics teacher interviews, mathematics classroom observations, and student interviews in each school. We can draw the conclusion from this study as follows. Firstly, the teaching of mathematics in both elementary and high school was very good in the standard of mathematical concepts, procedures, and connection. Secondly, it is very good in the standard of mathematics as problem solving, reasoning, and communication. Thirdly, it is not so good in the standard of promoting mathematical disposition. Fourthly, it is good in elementary schools, but not in high schools regarding the standard of assessing students' understanding of mathematics. Fifthly, it is very good in elementary schools, but not so good in high schools regarding the standard of learning environments.

• Journal of The Korean Association For Science Education
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• v.26 no.7
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• pp.835-842
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• 2006

The aims of this study are to investigate how Kepler found a scientific problem for the retinal image theory and how abductive reasoning was used in his theory development, and to find implications for teaching creativity in science class from his thinking processes in the scientific discovery. Through the analysis of the related literatures, it was found that Kepler's problem finding in his retinal image theory came from the critical analysis of contemporary theories of vision, based on his relevant knowledge of optics, as he formulated his own hypothesis to build a new theory in eye vision employing optical phenomenon in spherical lens, which is a kind of abductive reasoning. From the results, three suggestions are proposed, that: (a) in the development of creativity teaching material, the situations like Kepler's problem finding need to be included in the programs; (b) it should be taught that relevant scientific knowledge is important for problem finding and hypothesis formulating; and (c) the experience of successful problem solving by themselves could help them find new scientific problem(s).

• Korean Journal of Computational Design and Engineering
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• v.13 no.5
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• pp.362-371
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• 2008

Generally, a PLM education program in university consists of lectures of theory, software lab and software development raining as an advanced subject. Most industries want more than these, such as practical problem solving capabilities, teamwork skills and engineering communications including human relationship, rhetoric, technical writing, presentation and etc. Problem-Based Learning is a problem-stimulated and student-centered teaming method, and an innovative education strategy for collaborative and self-directed learning by applying real world problems. Education paradigm changes from "teaching" to "learning" accomplished by team working, and students are encouraged to develop, present, explain and defense their ideas, suggestions or solutions of a problem, and the "cooperative teaming" proceeds spontaneously during team operations. Co-operative education program is an into-grated academic model and a structured educational program combining classroom learning with productive work experience in a field related to a student's academic or career goals. Based on the partnership between academic institutions and industries, students are engaged in real and productive "work" in the industry, in contrast with merely observing. In this paper, PBL with Co-op program is suggested as an effective approach for PLM education, and we made and operated a PBL-based education course with industry co-op program. The Co-op education in industry accompanied with the PBL course in university can improve practical problem solving capabilities of students, including modeling and management of P3R(Product, Process, resource and Plant) using commercial PLM software tools. By the result, we found this to be an effective strategy for helping students, professors and industries succeed in engineering education, especially PLM area.

• Journal of the Korean School Mathematics Society
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• v.1 no.1
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• pp.121-130
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• 1998

The purpose of this study is to enhance the achievement in mathematics by developing compensatory learning materials and applying those to learning. The conclusions of this study are as follows. 1. Solving the learning tasks by cooperative learning guided instruction to learning by students from teaching by teacher, and it made learning effective and students cooperative in personal-relation 2. Learning materials for compensating learning deficit made students motivated and interested in mathematics, and active in learning. 3. By applying the learning materials for compensating prerequisite learning deficit, students could grasp learning contents and learning tasks, and their achievement could be enhanced. On the basis of problems which appeared in the progress of this study, the suggestions are as follows. 1, The necessity of mathematics in agricultural high schools should be recognized by students and various learning materials should be developed. 2. In cooperative learning, the roles of team-chiefs have a great influence on learning mood and problem-solving processes, they, therefore, must be directed beforehand so that they play the roles of leaders.

• Journal of the Korea Society of Computer and Information
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• v.22 no.8
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• pp.93-100
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• 2017

After the fourth industrial revolution came along, SW education to improve creativity and problem-solving ability began in elementary, middle, and high schools first and then in universities as well positively; however, research on the curriculum or what it has to pursue is not yet enough. Here, this study will investigate the current status of SW education provided in software-oriented schools operated in universities and also given as cultural studies in general universities and examines the curriculum or the standard plan for education. In most schools, it is operated as similar subject names, and diverse methods are tried on- and off-line to cultivate computing thinking skills. Also, to study SW education programs that can be operated in the general cultural courses of universities and find out how to utilize them, this author suggests the goal setting, educational contents, and teaching methods for SW education. As follow-up tasks, it will be needed to apply the suggested programs to the field and find out new evaluation methods in order to cultivate creative and convergent persons of ability.

• Communications of Mathematical Education
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• v.20 no.3 s.27
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• pp.391-405
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• 2006

In this paper we study on administration system and student's activities in whole-day club activities. As a result of this study we propose teaching methods, mathematical program for the year, and concreate teaching-learning materials for mathematical circle in whole-day club activities.