• The Mathematical Education
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• v.47 no.4
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• pp.467-486
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• 2008

The purpose of this study is to investigate effectiveness of the cyber home study to improve the self-directed learning ability. For this study, 21 middle school students took voluntarily part in the 4 weeks cyber home study in Wulsan teaching & learning center and 3 students were interviewed among them. The results of this study were as follows; First, the 4-weeks experimental cyber home study is shown to be effective for improving the self-directed learning ability, specialty for the intermediate and low level students, Second, it is shown that the cyber home study enable students to have positive attitude as well as interest and confidence in the mathematical learning.

• Research in Mathematical Education
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• v.1 no.1
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• pp.13-22
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• 1997

Cognitive psychology has provided valuable theoretical perspectives on learning mathematics. Based on the metaphor of the mind as an information processing device, educators and psychologists have developed detailed models of competence in a variety of areas of mathematical skill and understanding. Unquestionably, these models are an asset in thinking about the curriculum we want our students to follow. But any psychological paradigm has aspects of learning and knowledge that it accounts for well, and others that it accounts for less well. For instance, the paradigm of cognitive science gives us valuable models of the knowledge we want our students to acquire; but in picturing the mind as a computational device it reduces us to conceiving of learning in individualist terms. It is less useful in helping us develop effective learning communities in our classrooms. In this paper I review some of the significant accomplishments of cognitive psychology for mathematics education, and some of the directions that situated cognition theorists are taking in trying to understand knowing and learning in terms that blend individual and social perspectives.

• The Mathematical Education
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• v.43 no.4
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• pp.405-417
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• 2004

This study is on the use of mathematics program for School Mathematics Education. According to the ‘technology principle’ by NCTM and teaching-learning methods by the 7th curriculum, we developed mathematics learning activities with mathematics program. This activity is to construct designs with graphs by using mathematics program(GrafEq.). In this study, we practiced these learning activities with pre-service mathematics teachers. The mathematics educational effects of these learning activities in this study are analyzed as follows; active & spontaneous search for mathematical knowledge, the experience of problem solving, affirmative view-point of mathematics, understanding of practical use of mathematics, acquisition an interest & motivation of learning mathematics etc. When students learn graphs of function, the concept of inequality in secondary school mathematics class., mathematics teachers can make a good use of constructing designs by mathematics program(GrafEq.). This will help to practice of teaching-learning methods by the 7th curriculum.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.2
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• pp.401-420
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• 2010

The purpose of this research is to find out effectiveness of geometry learning through spatial reasoning activities on mathematical problem solving ability and mathematical attitude. In order to proof this research problem, the controlled experiment was done on two groups of 6th graders in N elementary school; one group went through the geometry learning style through spatial reasoning activities, and the other group went through the general geometry learning style. As a result, the experimental group and the comparing group on mathematical problem solving ability have statistically meaningful difference. However, the experimental group and the comparing group have not statistically meaningful difference on mathematical attitude. But the mathematical attitude in the experimental group has improved clearly after all the process of experiment. With these results we came up with this conclusion. First, the geometry learning through spatial reasoning activities enhances the ability of analyzing, spatial sensibility and logical ability, which is effective in increasing the mathematical problem solving ability. Second, the geometry learning through spatial reasoning activities enhances confidence in problem solving and an interest in mathematics, which has a positive influence on the mathematical attitude.

• The Mathematical Education
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• v.45 no.4 s.115
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• pp.493-505
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• 2006

This research studied learning model for the purpose of renovation of mathematics teaching methods. Especially, this research classified the types of cooperative learning, the theoretical background for cooperative learning, the need of cooperative learning in school mathematics, and the differences between cooperative learning and traditional small group learning, This research also suggested special features of cooperative learning and various types of cooperative learning models. The main types of cooperative learning which this research supported are TAI(Team-Assisted Individualization, JIGSAW cooperative learning, JIGSAW II cooperative learning, JIGSAW III cooperative learning, STAD(Student Team-Achievement division) cooperative learning, and TGT(Teams-Games-Tournament).

• The Journal of the Convergence on Culture Technology
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• v.7 no.2
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• pp.217-226
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• 2021

Since Covid-19, many educational institutions no longer view online learning as an additional material, but use it as their main learning tool. In this study, we tried to summarize the definition of smart learning and examined how smart learning math classes affect academic achievement, mathematical interest, and attitudes. We manipulate groups that conducted smart learning and groups that conducted face-to-face learning, and compare academic performance, mathematical interest, and attitudes after six weeks of learning. As a result, we found that the smart learning group had a large values in all three factors compared to the face-to-face learning group. We also found moderating effect. Students with lower grades largely improved their academic achievement scores as the difference in attitude changes through smart learning compared to those with higher grades.

• Journal of Korea Multimedia Society
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• v.6 no.4
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• pp.630-637
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• 2003

This study is designed to use the stepwise learning system for solving learner-oriented problem on the Web, which can help learners probe studying targets and contents of mathematics as well as search for a study-related materials. The study provides a Web-based Courseware design model based on the general multimedia systematic professor design model. It develops a program for remote lecture that can solve problems through interaction among a professor and the other learners. It also implements a remote teaming system for real-time environment of mathematical problems oriented by the learner. The system designed either as a Web-based mathematical Courseware or as a text mode has the purpose of providing a Web-based stepwise learning system for solving mathematical problems oriented by the learner.

• The Mathematical Education
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• v.43 no.3
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• pp.257-273
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• 2004

In this paper, we analyze what the components of mathematics teacher` knowledge are, and find that mathematics teacher need knowledge of three areas: subject matter knowledge, pedagogical knowledge, and pedagogical content knowledge. Studies of practicing teachers suggest that When teachers lack understanding in their respective disciplines, it inhibits them from providing students the best learning opportunities, but that a teacher possessing pedagogical content knowledge provides learners with multiple approaches into learning. Some teachers having sound knowledge of mathematics and students were able to respond appropriately to students' questions, design appropriate learning activities involving a variety of mathematical representations, and orchestrate mathematical discourse in the classroom. Thus, it appears that mathematics teachers' knowledge positively affect teaching and student learning..

• School Mathematics
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• v.2 no.1
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• pp.145-164
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• 2000

The purpose of this study is to investigate the effect of NIE instruction in learning mathematics. There are two groups. The one group is an experimental group which is assigned to use NIE in learning mathematics for 10 weeks. The other group is a controlled group which is received only ordinary teaching methods. The results of this study are as follows. 1. There is no significant difference in learning achievement between the experimental group and the controlled group in significant level 0.05. 2. There are some difference in mathematical disposition between two groups. That is, the students of experimental group learned NIE are not changed in mathematical disposition. However, the other group takes on negative attitude in a mathematical disposition. Considering that as the students go up higher grade, their mathematical disposition become negative, using NIE in mathematics education is valuable to prevent the negative disposition to the mathematics. 3. There are some difference between two groups in the open-ended problem test in significant level 0.05. Although using NIE has little effects in the ordinary test methods, NIE has some effects in the test which require communication ability.

• The Mathematical Education
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• v.47 no.2
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• pp.113-133
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• 2008

This study is to develop the methods of specifying teaching that can consider individual differences in middle school geometry education. The purpose of this study is to decide the variations causing individual differences and to find the proper learning methods considering the variations. Through literature review, this study made it clear that the matter of individual difference is just the matter of talent and examined what factors make up mathematical talents. On the basis of the result, five important variations and fourteen subordinate factors were determined. I researched into the learning methods that consider the determined subordinate factors using the 'congruence' unit of middle school textbooks and developed specific learning methods for each of the subordinate factors through specific congruence problem solving situations. This study can be summarized as follows : I researched the studies of mathematical ability conducted by several educators and psychologists. This research is divided into the early study and the developed study of mathematical ability. Through this study five specific variations were determined. And fourteen subordinate factors have been made from the determined variations. The specific learning methods based on individual differences was developed according to the fourteen subordinate factors on the basis of middle school textbooks of Korea, Gusev's textbook, problem books of Russia, and etc.