• Journal of the Korean School Mathematics Society
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• v.10 no.1
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• pp.1-25
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• 2007

The purpose of this study is to investigate the degree of mathematics teachers' recognition and understanding of mathematics education curriculum at the college of education. The subject of this study is 30 secondary school mathematics teachers who graduated from the department of mathematics education at the college of education. To accomplish this study, loather's knowledge is divided into two groups such as 'subject matter knowledge' (ready-made mathematics) and 'pedagogical content knowledge' (school mathematics and its teaching planning and methods). As a result, this study examines which subjects are required to achieve the pedagogical content knowledge in order to be a professional mathematics teacher.

• Journal of Educational Research in Mathematics
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• v.18 no.2
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• pp.157-177
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• 2008

This paper provides a description of the process in development of textbook unit on measuring length for second grade in elementary school according to action research methodology. The teaching unit development has been done based on the new national mathematics curriculum released in 2006. Mathematical communication and positive attitude toward mathematics are highly emphasized in the new curriculum. These new foci have been analysed through literature review and interviews with two incumbent teachers to be respected in the unit in an appropriate way. Three stages of development with different ways of organizing contents and different problem contexts were reported in the paper.

• School Mathematics
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• v.11 no.1
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• pp.39-53
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• 2009

This study was conducted in 2008 with 80 in-service mathematics teachers. We took a course that was consisted of a lecture and a practice on Socrates' method. In our study, mathematics teachers conducted making a teaching plan by using Socrates' method. But we became know that we need to offer concrete ideas or examples for mathematics teachers in order to apply Socrates' method effectively. Therefore we tried to search for educational methods in using Socrates' method to teach school mathematics. After investigating of preceding researches, we selected some examples. On the basis of these examples, we suggested concrete methods in using Socrates' method. That is as follows. Socrates' method need to be used in the context mathematical problem solving. Socrates' method can be applied in the process of overcoming cognitive obstacles. A question in using Socrates' method have to guide mathematical thinking (or attitude). When we use Socrates' method in the teaching of a proof, student need to have an opportunity to guess the conclusion of a proposition. The process of reflection revision-improvement can be connected to using Socrates' method.

• Communications of Mathematical Education
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• v.27 no.1
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• pp.19-37
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• 2013

In order to improve the problem-solving abilities and enhance the academic achievement of under achieving students for university basic mathematics, P-university has opened the basic mathematics and practice education courses. These education courses are operated as prerequisite subject of Calculus and we are progressing the class focused on presentation with variety learning materials by organizing level-based classes In this paper, we analyzed the acquired grade and the result of teaching assessment of 1,106 students registered in the 30 classes that the teaching portfolio of the basic mathematics and practice education courses were submitted to support 'Accreditation for Engineering Education of Korea'. In addition, we tried to find attention points and improved solutions on operating the level-based class of the basic mathematics and practice education courses based on the 'Continuous Quality Improvement Report' of teaching portfolio submitted by each professor who is in charge of this class.

• Education of Primary School Mathematics
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• v.14 no.1
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• pp.1-12
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• 2011

This paper provides an outline of mathematics education based on the classroom ecology. Ecology is the subject that concentrates on the relations of human and environment. As mathematics education consists of many factors, it is natural that mathematics education should be interest in the perspective of ecology. This paper examines the meaning of ecology and classroom ecology of mathematics education in the perspective of ecology. And it provides the directions of ecological mathematics education. In special, I set the frame of mathematics classroom in the perspective of ecology. The ecological structure divides microsystem(teacher, student, content), mesosysten(relations of microsystems), exosystem(school), and macrosystem(the objects of mathematics education). Lastly, I suggest the ways of mathematical learning and research of classroom ecology in mathematics education. For we should focus the improvement of students' mathematical ability, we must search for the various teaching and learning methods and the ares of research in the perspective of ecology classroom. Therefore, we should be interested in the classroom environments as well as teaching methods, contents based on the ecology classroom in mathematics education.

• The Mathematical Education
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• v.63 no.2
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• pp.369-385
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• 2024

With the advancement of digital technology, a variety of digital materials are being utilized in education. For their appropriate use of digital resources, teachers need to be able to evaluate the quality of digital resource and determine the suitability for teaching. This study explored how preservice teachers evaluate TocToc-Math, an Artificial Intelligence (AI)-based math support system. Based on an evaluation framework developed through prior research, preservice teachers evaluated TocToc-Math with evidence-based criteria, including content quality, pedagogy, technology use, and mathematics curriculum alignment. The findings shows that preservice teachers positively evaluated TocToc-Math overall. The evaluation tendencies of preservice teachers were classified into three groups, and the specific characteristics of each factor differed depending on the group. Based on the research results, we suggest implications for improving preservice teachers' evaluation abilities regarding the use of digital technology and AI in mathematics education.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2006.10a
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• pp.63-78
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• 2006

미국에서 학교 수학 수업에서의 개방적 접근은 일본과 미국 연구자들의 공동연구의 결과물이다. 우리는 그것에 대한 세 가지의 측면을 실례로 살펴보면 접근을 시도하겠다. : 1) 개방된 과정(open process)(문제의 해답에 이르는 방법이 여러 가지이다: 2) 개방형 문제(open-ended problems)(문제에 대한 정답이 여러 가지가 될 수 있는 문제), 3) 일본에서 '문제로부터 문제(from problem to problem)'라고 불리는 것 혹은 문제고안(problem formulating)하기(학생들이 새로운 문제를 명확하게 나타내기 위해 자신의 생각을 써 내려 가는 것)수학 지도에서 일본의 개방적 접근에 대한 우리의 이해를 바탕으로, 우리는 미국에서 보다 효과적인 수학 지도를 위한 몇 가지 방법을 선택 적용해 보았다. 이러한 접근의 대부분은 학습 계획안을 만들 때 여러 교사가 함께 참여하고 일련의 토론과 수정과정을 거친 뒤, 많은 부분이 개선되고 효과적인 계획안을 만들어 낸다는 점에서 미국의 수학교사들에게 새로운 것이다. 또한 이 접근법에서는 교사가 문제를 해결하는 과정에서 학생 개개인이나 그룹을 활동적으로 관찰하여 그들의 활동을 비교하고 토론한다.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.1
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• pp.39-56
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• 2015

The aim of the study presented in this paper was to explore South Korean elementary teachers' knowledge regarding educational theory in mathematics. An independent t-test and ANOVA are applied to examine elementary teachers' knowledge regarding educational theory in mathematics. Findings of this study suggest that there is a negative correlation between the teachers' knowledge regarding educational theory in mathematics and their teaching experiences as well as the teacher certification level. However, there is a little affect of the teachers' gender and educational backgrounds on the teachers' knowledge regarding educational theory in mathematics. The results of this quantitative study may broaden our understanding of the South Korean elementary teachers' knowledge for teaching mathematics, which have a deep impact on their teaching practice.

• Journal of the Korean School Mathematics Society
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• v.13 no.2
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• pp.303-322
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• 2010

The purpose of this study was to analyze the effects of using the geometric manipulative for the development of spatial sense and thus to find out a better mathematics teaching and learning method that could help develop students' spatial senses. The two fifth grade classes were randomly chosen as an experimental group (31 students) and a control group (32 students), respectively. This study implemented nonequivalent control group pretest-posttest design of quasi-experimental design. The test instrument used in this study was a spatial sense test. The pretest and posttest were implemented with the same instrument. In addition, their classes were observed and videotaped, and the data and their study activities were analyzed. In conclusion, first, the geometric manipulative-aided activities contributes to developing students' spatial senses and their two sub-factors involves perceptual consistency and perception of spatial relationship. Second, the activities of grasping the components of solid figures, sketches and development figures by using the geometric manipulative contribute to boost students' perceptual consistencies and their perceptions of spatial relationship.

• Journal of Educational Research in Mathematics
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• v.18 no.4
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• pp.455-467
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• 2008

We need to reflect the establishment of meaning and level of 'proof and argumentation in middle school mathematics'. It should be considered as human activity through communication in community. Thus, we should design instruction from this standpoint. From this point of view, we had been operated 'Geometry Inquiry Class' aimed at middle school students in eighth grade for two years to improve current geometry class in middle school. In this study, we will observe how individual students' original proof schemes are developed and accepted to the class through the process of mutual negotiation between the teacher and students. The episode with four phases begins with the initial proof schemes students have offered. Through the negotiation of class participants, it gives birth to the proof scheme unique to the current geometry classroom. Why do we pay attention to the process? It is because we think that the value of this type of instruction lies in the process of communication and mutual understanding and mutual reference, not in the completeness of the final product. This is the very appropriate proof in the middle school mathematics classroom.