• 한국수학교육학회지시리즈D:수학교육연구
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• 제15권3호
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• pp.261-294
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• 2011

The purpose of this research is to analyze Korean teacher textbook use and explore the effective use of textbooks. The researcher surveyed teachers to obtain information relative to their dispositions and views of textbook use, and a subset interviewed to obtain additional insight about these views. For the sample, 278 elementary school teachers were surveyed and a group interview was conducted with 6 teachers. The results showed that many teachers teach all the students simply by following the textbook content. These results suggest that for effective us of textbooks, teachers need to understand how to reconstruct the textbook within an understanding of the textbook authors' intension for the textbook content.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제15권3호
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• pp.251-259
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• 2011

Metaphor is the main representations of teachers' practical knowledge, which can help students to understand mathematics better. Through the recording and quantitative analysis of video cases of expert teachers in mathematics classroom, there are some results after analysis: 1) Teachers use many metaphors in the classroom and most of that are structural-ontological metaphors, which takes a certain period of time. 2) Teachers use the metaphors mainly in the teaching process of introduce and explore by the form of question-answer. 3) During the process of concept teaching, the metaphors from the real-world examples can promote the students have more motivation to study. During the process of procedure teaching, the metaphors from similar materials can promote the students to understand the operational skill better.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제15권3호
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• pp.295-310
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• 2011

Teachers' attitudes and beliefs are related to teaching practices and are dependent upon their teaching domain. The present study compares conceptual models of creative student oriented teaching practices of mathematics teachers in two OECD countries, South Korea and Turkey to provide an insight for teacher educators and policy makers. Teaching and Learning International Survey 2008 (TALIS 2008) data are used to test the fit of a path analysis model with a subsample of l337 middle school mathematics teachers ($N_{Korea}$ = 562 vs. $N_{Turkey}$ = 775). The study showed that Turkish teachers were younger and less experienced, whereas Korean teachers were better educated. Despite the statistical differences in attitudes, beliefs and practices between countries, it was found that the teaching practices of mathematics teachers in both countries were more complex than to be explained only through attitudes and beliefs.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제14권3호
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• pp.219-231
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• 2010

Mathematically, a proof is to create a convincing argument through logical reasoning towards a given proposition or a given statement. Mathematics educators have been working diligently to create environments that will assist students to perform proofs. One of such environments is the use of dynamic-geometry-software in the classroom. This paper reports on a case study and intends to probe into students' own thinking, patterns they used in completing certain tasks, and the extent to which they have utilized technology. Their tasks were to explore the shape-to-shape, shape-to-part, and part-to-part interrelationships of geometric objects when dealing with certain geometric problem-solving situations utilizing dissection-motion-operation (DMO).

• 한국수학교육학회지시리즈D:수학교육연구
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• 제14권3호
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• pp.233-247
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• 2010

The article deals with the perceptions of Mathematics as a language of pre-service teachers of Mathematics in a College of Education in Israel. The formal language of studying in the College of Education is Hebrew. The goals of the study were to examine the perceptions of pre-service teachers on the following issues: the language components involved in learning Mathematics, the basic cognitive skills required for learning Mathematics, and the perception of Mathematics as a language (PML). Findings indicated that due to new attitudes in mathematical training, pre-service teachers of Mathematics perceived Mathematics as a language regarding all language components.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제14권3호
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• pp.211-218
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• 2010

It is a truism that mathematics is about relations (cf. [Halford, G. S. (1999). The properties of representations used in higher cognitive processes: Developmental implications. In: Sigel, I. E. (Ed.), The Development of Mental Representation: Theories and Applications (pp. 147-168). Mahwah, New Jersey: Erlbaum]). In this article we are considering few problems related to the Viviani's and Routh's Theorems. All Problems are connected by the relation which exists between the distances of the point inside the triangle to it sides. We show how reasoning about the relations could lead the student's problem solving process and give easy to understand solutions of the problems. Among the problems being considered are the proof of the Converse to Viviani's Theorem, the formulas for areas of all figures formed by the sides of triangle and its cevians.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제14권3호
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• pp.281-297
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• 2010

This paper pretends to study the potentialities of feedback, particularly in the development of a written report in two phases and in portfolio; and the main difficulties that teachers has to face concerning this assessment practice. Through a meta-analysis concerning different studies, it is possible to say that oral or written feedback, intentionally provided to students of several ages, may enable them to develop their self-assessment capacity and to get close of the expected product. However, the type of student and his or her perceptions may influence the effectiveness of feedback. Even for experience teachers, this practice maintains complex.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제14권3호
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• pp.299-308
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• 2010

The gender differences of mathematics achievement exists in many counties in the world. Some Chinese scholars think that the differences also exist in China. The researchers explain the gender differences of mathematics learning mainly from the individual psychology and education. This paper, firstly, introduces an investigation of the gender differences of mathematics achievement in grade 1-9 in three areas (Hefei urban area, Cuozhen area, and Chenji area) of Hefei in China. The investigation found that the gender differences of mathematics achievement exist but are different in these areas. Then, the results are explained from the theory of the gender socialization.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제14권3호
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• pp.263-279
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• 2010

Teachers' personal knowledge (PK) is an element in their pedagogic-practical knowledge. This study exposes the PK of primary school mathematics teachers regarding solid geometry through reflection. Students are exposed to solid geometry on various levels, from kindergarten age and above. Previous studies attested to the fact that students encounter difficulties-strong dislike and fear engendered by geometry. A good number of teachers have strong dislike to solid geometry, as well. Therefore, those engaged in teaching the subject must address the problem and try to overcome these difficulties. In this paper we have introduced the reflective process among teachers in primary school, including application of Van-Hiele's theory to solid geometry.

• 한국수학교육학회지시리즈A:수학교육
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• 제52권4호
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• pp.549-565
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• 2013

To help students understand the deduction system in the proof, we analyzed the textbook on mathematics at first. As results, we could find that the textbook' system of deduction is similar with the Euclid' system of deduction. The starting point of deduction is different with each other. But the flow of deduction match with each other. Next, we searched for the example of circular argument and analyzed. As results, we classified the circular argument into two groups. The first is an internal circular argument which is a circular argument occurred in a theorem. The second is an external circular argument which is a circular argument occurred between many theorems. We could know that the flow of deduction system is consistent in internal-external dimension. Lastly, we proposed the desirable teaching direction to help students understand the deduction system in the proof.