• School Mathematics
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• v.10 no.2
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• pp.279-296
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• 2008

This research aims to compare and identify the prospective elementary teachers' perspectives on mathematics class. In this aim, we analyzed the comments on the mathematics class by the prospective elementary teachers (senior students and junior students) who are differ in the time of study in the University of Education. As the results of this research, the senior students commented the mathematics class by applying the theories in mathematics education, but the junior students did not. Furthermore, the senior students had the more rigid perspectives on mathematics class and commented in more depth on mathematics class in comparison with the junior students. While, the senior students showed a weak point that they overextended and over-applied the some mathematics education theories in the comments on mathematics class.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.2
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• pp.253-267
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• 2012

In this paper, we primarily focus on the perspectives about creative process, which is how mathematical creativity emerged, as one aspect of mathematical creativity and then present a desirable task characteristic to measure and program characteristics to develop mathematical creativity. At first, we describe domain-generality perspective and domain-specificity perspective on creativity. The former regard divergent thinking skill as a key cognitive process embedded in creativity of various discipline domain involving language, science, mathematics, art and so on. In contrast the researchers supporting later perspective insist that the mechanism of creativity is different in each discipline. We understand that the issue on this two perspective effect on task and program to foster and measure creativity in mathematics education beyond theoretical discussion. And then, based on previous theoretical review, we draw a desirable characteristic on instruction program and task to facilitate and test mathematical creativity, and present an applicable task and instruction cases based on Geneplor model at the mathematics class in elementary school. In conclusion, divergent thinking is necessary but sufficient to develop mathematical creativity and need to consider various mathematical reasoning such as generalization, ion and mathematical knowledge.

• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.355-370
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• 2016

This research intends to and understand a prospective teacher, Kim's mathematics lesson in the perspective of Activity Theory. In this study, Kim's mathematics lesson was explored in the aspects of subject, object, tools, division of labor, community, and rule which are main constituent of Activity Theory and Activity System suggested by $Engestr{\ddot{o}}m$. As the result of study, we discussed the phenomena such as the fluctuation between object and tool, the multi-voicedness between object, rule, outcome and student subject, and the dissonance between division of labor, community and rule were appeared in Kim's mathematics lesson as an activity system.

• Education of Primary School Mathematics
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• v.14 no.1
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• pp.57-67
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• 2011

The purpose of this study is to discuss the way and the purpose of presenting math puzzles in classroom. Firstly, the characteristics of math puzzles are discussed and the various uses of math puzzles are looked for. Secondly, The author illustrates models of classroom teaching with puzzles. Thirdly, The author discusses what subjects of mathematics could be dealt with in the math puzzle classroom. Finally, The author indicates that the teaching with math puzzles give chance of feeling 'mathematical composure' not only to students but also to teachers.

• School Mathematics
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• v.7 no.4
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• pp.445-467
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• 2005

The purpose of this study was to investigate mathematics teaching of an elementary school teacher and to understand the meaning of it. This study was a qualitative case study using by analyzing metaphors. The notion of metaphors was newly set up. Traditionally, it had been regarded as a mere tool for better understanding, but it was recognized as the primary source of all of our concept(Sfard, 1998). The subject of this case study was a researcher 'I' and also an elementary school teacher. The three selves named Mee1, Mee2, Mee3, respectively. Mee1 was the 'I' who developed the 4th graders' activities on mathematical patterns in 1996 and wrote mathematics textbook for the 4th graders in 1998-1999. Mee2 was the 'I' who taught mathematical patterns to her students in 2002. Mee3 was the 'I' who criticized the teaching of Mee2 in 2005. [ADVENTURE], [HIDE-AND-SEEK], and [FIREWORKS DISPLAY] were deter-mined to be key metaphors of mathematics teaching. [ADVENTURE] of Mee] was focused on profound understanding of mathematics, [HIDE-AND-SEEK] of Mee2 on construction of mathematics, and [FIRE-WORKS DISPLAY] of Mee3 on making meaning and participating in communities. Studies of metaphors give us the power of understanding mathematics teaching and also generate it. And viewing mathematics teaching via metaphors makes teaching studies open to new ways.

• Communications of Mathematical Education
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• v.14
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• pp.71-83
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• 2001

교사가 효과적으로 수업을 하려면 계속해서 개선을 해야 한다. 교사들이 자신의 수업을 계속해서 반성함으로써, 또한 교수와 학습에 대한 지식이 변함에 따라 수업이 변하고 발전한다. 따라서 이상적인 교사는 꾸준히 변하는 교사이다. 이러한 교사역할에서의 변화가 요구되는 합의가 암묵적으로 이루어지고 있으므로, 교사의 역할을 인지적 관점과 사회적 관점으로 나누어 살펴보고, 교사교육을 실행공동체에서의 참여의 변화과정으로 개념화하여, 교사교육 프로그램의 방향과 효과에 대하여 알아본다. 이에 따른 바람직한 교사의 변화 방향을 탐색하여 수학 교실 향상에 대한 앞으로의 시사점을 얻는 것이 이 논문의 목적이다.

• School Mathematics
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• v.9 no.2
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• pp.259-276
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• 2007

There have been a number of lesson analysis studies, yet not many studies address the issue of the perspective of students who play a key role in the lesson along with the teacher. The purpose of this study is to investigate how the teacher and the students interpret the mathematics lesson they experienced, and to find out the potential discrepancy between the teacher and the students in their perceptions of mathematics lesson. To pursue this purpose, 10 consecutive lessons were videotaped in the 8th grade mathematics classroom, and the video-stimulated post-lesson interviews were also conducted with the teacher and the students. Based on the lesson videos and the interview data, six discrepancies between the teacher and the students in their perceptions of mathematics lesson were dentified: the discrepancy between the teacher's intention and students' interest in the lesson; different interpretation and response to the teacher's mistake; formal abidance; topaze effect; different recognition of the students' preference among the topics; teacher's insufficient response to students' needs. These six discrepancies were further categorized and some implications were drawn.

• Communications of Mathematical Education
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• v.8
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• pp.151-164
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• 1999

우리의 경우 학교수학에서 문제해결이 강조된지도 20여년이 넘었으나 아직도 수학을 혐오하는 학생들이 적지 않은 것 같다. 이러한 우리의 수학교육의 문제점은 여러 가지 측면에서 접근할 수 있으나 본 연구에서는 문제해결의 관점에서 접근하고자 한다. 먼저 수학학습평가와 사회에서의 평가를 문제해결의 관점에서 비교하고, 또 수학과 교육과정과 교과서의 구성내용과 체제를 문제해결의 관점에서 구체적인 예제를 통하여 조사한다. 나아가 최근의 구성주의의 관점에서 수학수업에서 계산기의 도입 가능성을 살펴본다.

• School Mathematics
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• v.15 no.2
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• pp.369-387
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• 2013

This research intends to give a practice of mathematics lesson-critique and some perspectives on a mathematics lesson in the elementary school level. We carried out a mathematics lesson-critique on a lesson chosen as a good lesson by a local educational district in Korea. The main themes of mathematics lesson-critique were the reconstruction of lesson models, the pursuit of relational understanding, the activation of mathematical communication, and the didactical transformation by a in-service teacher. Meanwhile we confirmed that we need to discuss the properness and adequateness of contents about division of natural numbers given in the elementary mathematics textbook and teachers' guide according to the revised 2007 mathematics curriculum.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.553-565
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• 2013

The purpose of this study was to examine how the Lakatos method works in the elementary teacher education program. Elementary preservice teachers were given a task in which they examined the Pick's theorem. The finding revealed that Lakatos method was usable in the elementary teacher education. They produced initial conjecture and found counterexamples, and finally made improved conjectures. These experience encourage them to change their belief of teaching and learning mathematics and to find alternative ways of teaching mathematics.