• Journal of Educational Research in Mathematics
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• v.11 no.1
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• pp.89-102
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• 2001

Computer has been regarded as an alternative that could overcome the difficulties in the teaching and learning of mathematics. But the didactical problems of the computer-based environment for mathematics education could give us new obstacles. In this paper, first of all, we examined the application of the learning theories of mathematics to the computer environment. If the feedbacks of the computer are too immediate, students would have less opportunity to reflect on their thinking and focus their attention on the visual aspects, which leads to the simple abstraction rather than the reflective abstraction. We also examined some other Problems related to cognitive obstacle to learn the concepts of geometric figure and the geometric knowledge. Based on the analysis on the problems related to the computer-based environment of mathematics teaching and learning, we tried to find out the direction to use computer more adequately in teaching and learning geometry.

• Research in Mathematical Education
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• v.20 no.1
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• pp.31-38
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• 2016

WHAT we teach, and HOW students experience it, are the primary factors that shape students' understanding and beliefs of what mathematics is all about. Further, students pick up their sense of mathematics from their experience with it. We have seen the results of the approach to "break the subject into pieces and make students master it bit by bit. As an alternative, we strive to create a teaching environment in which students are DOING mathematics and thereby engender selected aspects of "mathematical culture" in the classroom. The vehicle for doing this is the so-called Japanese Open-ended approach to teaching mathematics. We will discuss three aspects of the open-ended approach - process open, end product open, formulating problems open - and the associated approach to assessing learning.

• School Mathematics
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• v.4 no.2
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• pp.237-246
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• 2002

The purpose of this paper is to investigatethe relationship between Korean elementary teachers' teaching practice and students' perceptions of classroom learning environment. It is important to examine whether teachers conceive of mathematics and their teaching practice are consistent with their actual teaching mathematics in classroom. To do so, two reform-oriented and two traditionally-oriented elementary teachers in Seoul and a total of 130 students from these four selected teachers' classes participated in the present study Using classroom environment survey scale [CES] the differences in students' perceptions on classroom learning environment were examined. The results show that students taught by reform-oriented teachers have significantly higher score in the area of participation, relevance, and commitment to learning than traditionally-oriented group of students. Thus, we may conclude that the reform-oriented group of students have more benefits in learning mathematics than do the traditionally-oriented group of students.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.3
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• pp.443-460
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• 2017

The aim of this study was to develop and validate a mathematics teaching efficacy scale for South Korean Elementary Teachers. The sample was consisted of 300 elementary teachers in South Korea. A total of 13 items were developed and examined for internal consistence. The results of this study showed that the proposed scale was appropriate to represent mathematics teaching efficacy of elementary teachers.

• Journal of the Korean School Mathematics Society
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• v.15 no.1
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• pp.27-51
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• 2012

This paper analyzed the pedagogical content knowledge (PCK) presented in three novice teachers' mathematics instruction. PCK was analyzed in terms of the knowledge of mathematics content, the knowledge of students' understanding, and the knowledge of teaching methods. Teacher A executed a concept-oriented instruction with manipulative materials because she had difficulties in learning mathematics during her childhood. Teacher B attempted to implement an inquiry-centered instruction in the lesson of looking for the area of a trapezoid. Teacher C focused on the real-life connection to mathematics instruction. There were substantial differences among the teachers' PCK revealed in mathematics teaching, depending on their instructional goals. The detailed analyses of three teachers' teaching in terms of their PCK will give rise to the issues and suggestions of professional development for beginning elementary school teachers in mathematics teaching.

• School Mathematics
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• v.13 no.4
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• pp.633-649
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• 2011

A variety of competencies for good teaching in mathematics has been discussed. It has been expected that there is discordance between researchers and teachers' perspectives on the competencies. We attempted to investigate teachers' perspectives rather than researchers' to narrow the possible discordance. First, we built a list of competencies for good teaching that mathematics teachers should meet by reviewing literatures. Second, we investigated mathematics teachers' perceptions about what requirements teachers should meet for good teaching, how mathematics learning experiences at the university level influence teachers' competence cultivation, and how pre-service teacher education influence teachers' competence building. Based on the results, we discussed mathematics teachers' competencies for good teaching and provided implications for pre-service teacher education.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.407-422
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• 2013

The purposes of this study are to investigate the change in the teacher efficacy beliefs of elementary pre-service teachers in mathematics during the student teaching, and to suggest the direction of the student teaching program for improving the pre-service teachers' efficacy beliefs in mathematics. For this, 93 elementary pre-service teachers participated. After the 4 weeks of practice, any changes in their teacher efficacy beliefs in mathematics were analyzed and the positive and negative causes of the differences were discussed. Consequently, their teacher efficacy beliefs in mathematics meaningfully decreased. The analysis of the cause of the decrease indicated that the teacher efficacy beliefs in teaching mathematics, rather than in the management of their mathematics class, meaningfully decreased. The meetings with the subjects also revealed that they had more negative experience with class teaching and were not able to gain much positive experience with it after all.

• School Mathematics
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• v.8 no.3
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• pp.327-339
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• 2006

In this study, a teaching units for teaching and learning of secondary preservice teachers' mathematising is designed, focusing on reinvention of Bretschneider's formula. preservice teachers can obtain the following through this teaching units. First, preservice teachers can experience mathematising which invent a noumenon which organize a phenomenon, They can make an experience to invent Bretscheider's formula as if they invent mathematics really. Second, preservice teachers can understand one of the mechanisms of mathematics knowledge invention. As they reinvent Brahmagupta's formula and Bretschneider's formula, they understand a mechanism that new knowledge is invented Iron already known knowledge by analogy. Third, preservice teachers can understand connection between school mathematics and academic mathematics. They can understand how the school mathematics can connect academic mathematics, through the relation between the school mathematics like formulas for calculating areas of rectangle, square, rhombus, parallelogram, trapezoid and Heron's formula, and academic mathematics like Brahmagupta's formula and Bretschneider's formula.

• Research in Mathematical Education
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• v.9 no.1 s.21
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• pp.47-58
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• 2005

Although student-centered teaching practices have been advocated in mathematics education reform, implementing them at the classroom level remains challenging. This exploratory case study examined two unevenly successful student-centered approaches to see how teachers understand and characterize reform, and to articulate issues in implementing reform ideas. The comparison and contrast between the classrooms showed similar classroom social norms but dramatically different mathematical practices. This affords the possibility of exploring the challenges of reform for teachers and other personnel who are attempting to move teaching practices towards the student-centered ideals.

• Education of Primary School Mathematics
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• v.9 no.2 s.18
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• pp.75-87
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• 2005

For Probabilistic Reasoning Ability is useful to predict uncertain fact from information, it's getting more important. But when we consider the actual condition of teaching Probabilistic Reasoning Ability, it doesn't correspond with its importance. So the purpose of this study is, by developing Basic Contents of Probabilistic Reasoning Teaching; by developing and applying Probabilistic Reasoning Teaching Program, to study how the application of it effects the progress of the student's Probabilistic Reasoning Ability.