• 한국수학교육학회지시리즈A:수학교육
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• 제44권1호
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• pp.125-141
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• 2005

For many years, the educational effects of instructional manipulatives in mathematics education have been investigated in classroom practice and educational research. This paper demonstrates how pattern block, a type of instructional manipulatives could be used and integrated in elementary mathematics areas in order to develop student's mathematical thinking Further, students' thinking process with pattern blocks is analysed to show their thinking process.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제10권1호
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• pp.33-47
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• 2006

Finding good ways to support the further development of mathematically gifted students is a challenge for all mathematics educators. Simply moving able students on more rapidly to the next level of traditional mathematical instruction seems to be a limited approach, while providing supplementary enrichment material or specialized mathematical software requires us to ensure that doing so is truly worthwhile for the students. This paper presents an approach that the author has used with students of diverse capabilities in both technologically advanced and developing nations investigating mathematical ideas using a spreadsheet.

• East Asian mathematical journal
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• 제35권2호
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• pp.217-237
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• 2019

This Modeling is a cyclical process of creating and modifying models of empirical situations to understand them better and improve decisions. The role of modeling and teaching mathematical modeling in school mathematics has received increasing attention as generating authentic learning and revealing the ways of thinking that produced it. In this paper and interactive lecture session, we will review a subset of the related literature, discuss benefits and challenges in teaching and learning mathematical modeling, and share our attempts to improve traditional textbook problems so that they can become more authentic modeling activities and implications for instruction and assessment as well as for research.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제13권2호
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• pp.75-90
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• 2009

There are concepts in calculus which are difficult to teach and learn. One of these concepts is integration. However, problem posing has not yet received the attention it deserves from the mathematics education community. There is no systematic study that deals with teaching of calculus concepts by problem posing oriented teaching strategy. In this respect this study investigated the effect of problem posing on students' (prospective teachers') academic success when problem posing oriented approach is used to teach the integral concept in Calculus-II (Mathematics-II) course to first grade prospective teachers who are enrolled to the Primary Science Teaching Program of Education Faculty. The study used intervention-posttest experimental design. Quantitative research techniques were employed to gather, analyze and interpret the data. The sample comprised 79 elementary prospective science teachers. The results indicate that problem posing approach effects academic success in a positive way and at significant level.

• 한국수학교육학회지시리즈A:수학교육
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• 제41권2호
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• pp.189-202
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• 2002

Problem-centered learning reflects learning strategy based on constructivism. In this learning, students should find the solution in a small group discussion, and share their solutions with classmates in whole class discussion. So students participate in mathematics instruction actively and interact with other students about the strategies. We expect students would change their attitudes on mathematics and mathematical learning in these processes. In this study, we analyzed students' attitudes on mathematics and mathematical learning when they participated the problem-centered learning program. We found the change of students' attitudes to mathematics via problem-centered learning.

• 한국수학교육학회지시리즈A:수학교육
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• 제41권3호
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• pp.329-339
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• 2002

This study analyzes the epistemological meaning of‘social construction’in mathematical instruction. The perspective that consider the cognition of mathematical concept as a social construction is explained by a cyclic scheme of an academic context and a school context. Both of the contexts require a public procedure, social conversation. However, there is a considerable difference that in the academic context it is Lakatos' ‘logic of mathematical discovery’In the school context, it is Vygotsky's‘instructional and learning interaction’. In the situation of mathematics education, the‘society’which has an influence on learner's cognition does not only mean‘collective members’, but‘form of life’which is constituted by the activity with purposes, language, discourse, etc. Teachers have to play a central role that guide and coordinate the educational process involving interactions with learners in this context. We can get useful suggestions to mathematics education through this consideration of the social contexts and levels to form didactical situations of mathematics.

• 대한수학교육학회지:수학교육학연구
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• 제12권3호
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• pp.425-442
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• 2002

One of important topics in mathematics education research is communication. Mathematical communication consists of writing, reading, listening and speaking. But, research on reading has not yet to have a commensurate emphasis, despite important changes that have occurred in the theory and practice of communication. This study is intended to search for reading in school mathematics. First, we explore theories of reading and reading instruction. Second, the factors involved in reading are examined. These factors are learners, texts and teachers. Third, we provide a variety of reading strategies that are reading and enacting strategy, reconstructing strategy, presupposing strategy, becoming an author strategy, sketch to stretch strategy and reading- cooperative learning strategy. They will help students to foster students' mathematical ability as well as reading skill.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제18권1호
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• pp.1-18
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• 2004

Current interest in mathematics learning that focuses on understanding, mathematical reasoning and meaning making underscores the need to develop ways of analyzing classrooms that foster these types of learning. In this paper, I show that the constructs of social and sociomathematical norms, which grew out of taking a symbolic interactionist perspective, and Toulmins scheme for argumentation as elaborated for mathematics education by Krummheuer, provide us with means to analyze aspects of explanation justification and argumentation in mathematics classrooms, including means through which they can be fostered. Examples from a variety of classrooms are used to clarify how these notions can inform instruction at all levels, from the elementary grades through university-level mathematics.

• 한국수학교육학회지시리즈A:수학교육
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• 제43권1호
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• pp.97-107
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• 2004

Current interest in mathematics learning that focuses on understanding, mathematical reasoning and meaning making underscores the need to develop ways of analyzing classrooms that foster these types of learning. In this paper, I show that the constructs of social and sociomathematical norms, which grew out of taking a symbolic interactionist perspective, and Toulmin's scheme for argumentation, as elaborated for mathematics education by Kummheuer, provide us with means to analyze aspects of explanation, justification and argumentation in mathematics classrooms, including means through which they can be fostered. Examples from a variety of classrooms are used to clarify how these notions can inform instruction at all levels, from the elementary grades through university-level mathematics.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권2호
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• pp.137-157
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• 2003

Mathematical Problem solving has had the largest focus in the spread of mathematical topics since 1980. In Korea, most of the articles on problem solving appeared 1980s and 1990s, during which there were special concerns on this issue. And there is general acceptance of the idea that the famous statement "Problem solving must be the focus of school mathematics"(NCTM, 1980, p.1) in Agenda for Action, reflected in the curriculum of Korea. In a historical review focusing on the problem solving in the National Curriculum of Mathematics, we can infer that the primary goal of mathematics instruction should be to have students become competence problem solver. However, the practices of mathematics classroom and the trends of research in mathematical problem solving have oriented to ′teaching about problem solving′ and ′teaching for problem solving′. The issue of teaching via problem solving′ remain unsolved in the community of mathematics education and we need much more attention to this issue.