• Journal of Applied and Pure Mathematics
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• v.5 no.1_2
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• pp.55-68
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• 2023

Character education is an important educational purpose in the current situation of secondary mathematics education. In the current mathematics curriculum, character education is mentioned in terms of core competencies. However, it is very difficult to concretely practice character education in secondary mathematics education. This paper examines the theoretical background of character education in the tradition of mathematics education, and suggests that mathematics is regarded as a practical tradition by the nature of mathematics from a value-intrinsic perspective. In this respect, mathematics education is defined as an intrinsic and nurturing character through long history of practice. This paper searched for an integrated approach to practicing character education in of secondary mathematics education, and argued that the teacher's personal approach including the class model approach of the human factors by an example of the exponential law a^maⁿ = a^m+n and the value-oriented activities according to the nature of the mathematics was the core.

• The Mathematical Education
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• v.51 no.4
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• pp.415-427
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• 2012

This study investigated the perception and utilization about computer of beginning secondary mathematics teachers by utilization frequency of computer. To increase utilization frequency of computer in school mathematics, our finding shows that beginning secondary mathematics teachers should have an interest in computer utilization and perceive computers as an important tool for mathematics learning. In addition, they are likely to use more frequently computer under the condition that computers have sufficient class materials and supplement their shortcomings that have derived less usage in math classes. Therefore, future studies have to investigate not only how to develope textbooks and run after-school classes but also how to make creative discretional activities by computer, which makes computers more useful for teacher training. In sum, the results of case studies for computer usability should be released to motivate computer utilization and increase mathematical thinking ability.

• The Mathematical Education
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• v.42 no.4
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• pp.503-521
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• 2003

In this paper, we propose programs of geometry related courses for the department of mathematics education of teacher training universities. We suggest 4 courses, ‘Geometry I’, ‘Geometry II’, ‘Differential Geometry’, ‘Topology’ as geometry related courses in Shin et. al.(2003). Among those 4 courses, we state desirable direction of curricula on 3 courses, ‘Geometry I’, ‘Geometry II’, ‘Differential Geometry’ in this paper.

• Journal of Educational Research in Mathematics
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• v.24 no.4
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• pp.537-554
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• 2014

In this study, we investigated a good way for teacher professional development. Based on this way, we designed teacher training program. We carried out teacher training program for 50 secondary school mathematics teachers in July 2014. In this teacher training courses, teachers conducted recording mathematics teaching-learning processes by dialogue between teacher and student according to Socratic method. We also shared the practices of teacher educators, teachers and colleagues. In this teacher training, we tried to cultivate teachers' abilities needed to a good mathematics instruction. And we aimed to equip the attitude that guided reflection on their mathematics class. Through the teacher training, teachers recognized the need to study on the thinking of students and take into account students' expected reaction on the part of learners. Also they developed an attitude as reflective practitioners and recognized the need of teacher learning communities for their professional development.

• School Mathematics
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• v.13 no.2
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• pp.345-362
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• 2011

This paper addresses mathematics content knowledge required for teaching in secondary school. Three components of mathematical knowledge are needed for teaching: (i) knowing school mathematics, (ii) knowing process of school mathematics, (iii) making connections between school mathematics and advanced mathematics. We investigated mathematics content knowledge of secondary teachers. We found that secondary mathematics teachers have a lack of understanding in solving realistic problem, reasoning and proof, and making connections between school mathematics and advanced mathematics.

• School Mathematics
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• v.16 no.2
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• pp.335-353
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• 2014

The purpose of this study was to analyze the trends of domestic research on mathematics teacher education in terms of timings, topics, methods, and subjects. For this purpose, a total of 111 articles dealing with mathematics teacher education, published since 1992 by the Korea Society of Educational Studies in Mathematics, were analyzed. The results of this study showed that the number of such articles has been rapidly increased since the late 2000's. Research on the professional development for teachers has been the most frequent topic but the studies dealing with teacher knowledge or orientation tend to be popular. Qualitative research methodology, specifically case study, has been most frequently employed in studying mathematics teacher education. The subjects for research included a similar portion of in-service and pre-service teachers, and elementary and secondary school teachers. Given these results, this paper closes with several implications for future research direction on mathematics teacher education.

• Research in Mathematical Education
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• v.13 no.4
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• pp.349-377
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• 2009

In this work we present a study undertaken with in-service mathematics teachers of primary and secondary school where we describe and analyze the didactical competences needed to implement an innovative design in geometry applying Van Hiele's models. The relationship between such competences and an ideal teacher profile is also studied. Teachers' epistemology is established in terms of didactical competences and we can see that this epistemology is an element that helps us understand the difficulties that teachers face in practice when implementing an innovative curriculum, in this case, geometry based on the Van Hiele theory.

• School Mathematics
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• v.16 no.4
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• pp.745-761
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• 2014

This study investigated mathematics teachers' views on education, teacher efficacy, and the relationship of teacher efficacy and Confucian Heritage Culture's views on education. In particular, the differences on the basis of teachers' teaching experience and academic level were examined. We identified teachers' views on education by investigating their views on the purpose of education and examining whether they support the perspectives of teaching and learning in Confucian Heritage Culture. The questionnaire was answered by a total of 572 elementary teachers and secondary mathematics teachers. The results of this survey revealed that mathematics teachers have both Confucian Heritage Culture's view and Western view on education and quiet strong teacher efficacy. The views on education differed by academic levels, but there were no differences in teaching experiences. The teacher efficacy was differed by both academic levels and teaching experiences. The correlation between teacher efficacy and Confucian Heritage Culture's view on education was low. Findings were discussed with regard to their implications for both Korean mathematics education and mathematics teachers' teaching practice.

• Journal of Educational Research in Mathematics
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• v.25 no.4
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• pp.691-715
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• 2015

This study explored preservice secondary mathematics teachers' mathematical knowledge for teaching [MKT]. In order to measure preservice teachers' MKT, we developed items according to Ball, Thames & Phelps (2008)'s domains and conducted to 53 preservice teachers. Also, we interviewed 1 preservice teacher with the items and a set of interview questions. The findings from the data analysis suggested as follows: a) overall, the preservice teachers scored average 30.2 out of 100; b) the preservice teachers appeared to be unable to explain students' difficulties in learning a specific mathematical idea and how they would respond to and resolve such difficulties.

• Research in Mathematical Education
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• v.25 no.1
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• pp.65-89
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• 2022

Despite its recognition in the field of mathematics education and mathematics, students' understanding about proof and performance on proof tasks have been far from promising. Research has documented that teachers tend to accept empirical arguments as proofs. In this study, an online survey was administered to examine how Korean secondary mathematic teachers make judgements on mathematical arguments varied along representations. The results indicate that, when asked to judge how convincing to their students the given arguments would be, the teachers tended to consider how likely students understand the given arguments and this surfaces as a controversial matter with the algebraic argument being both most and least convincing for their students. The teachers' judgements on the algebraic argument were shown to have statistically significant difference with respect to convincingness to them, convincingness to their students, and validity as mathematical proof.