• The Mathematical Education
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• v.51 no.2
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• pp.131-144
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• 2012

The purpose of this study is to investigate the change of mathematics pre-service teachers' teaching behaviors in microteaching. This study is organized along the following lines: 1) mathematics pre-service teachers conduct twice microteachings, 2) the microteaching recordings and lesson observation reports written by pre-service teachers are analyzed. Through reviewing the first microteaching, pre-service teacher have reviewed and found out improvements of their teaching. In the second microteaching, pre-service teachers' teaching behaviors have been positively and effectively changed with respect to teaching methods, proposal of learning objectives, prior knowledge usage, presenting lesson's content, concise descriptions, brief language usages, multimedia, and appropriate questions. However, they frequently used inappropriate expressions from their unconscious habits. Therefore, the educational institutions should provide opportunities involved in well-structured microteaching training program with pre-service teachers, which in turn, help pre-service teachers to have more positive teaching competence.

• Journal for History of Mathematics
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• v.25 no.2
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• pp.97-111
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• 2012

This paper aims to identify the area of knowledge required for constructing test items by comparing the consulting contents with the area of MKT(Mathematical Knowledge for Teaching). This paper collects the consulting results by the consulting group of A provincial office of education from 2007 to 2009, and analyzes and categorizes the results. The knowledge for constructing test items are known by the analysis on the consulting contents. Training and consulting for teachers are necessary to enable them to recognize the importance of these categories and improve the quality of test items.

• Research in Mathematical Education
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• v.5 no.1
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• pp.13-24
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• 2001

Using computer technology in teaching school mathematics creates new instructional environments. The emphases on the use of computer technology in the classrooms and in particular the use of computer-based exploration as a context of mathematics instruction have been reflected in the recommendation of the NCTM (Curriculum and Evaluation Standards for School Mathematics, 1989). Although the power of using computer technology in the exploration of mathematical problems has been recognized and stressed by many educators, we do not have many research studies on mathematics in computer-based explorations. Especially research has failed to clarify how computer technology can contribute to the construction of procedural and conceptual knowledge of mathematics. Up to now most researches on procedural and conceptual knowledge in computer environments have only focused on classifying programming languages which program language has more random access and rich interrelationship characteristic in relation to conceptual knowledge in humans, and which computer language has more characteristic flavor of procedural knowledge. How computer-based explorations affect the knowledge construction of mathematics, therefore, emerges as an issue of research on teacher education program for theoretical framework. This situation leads to do research on the effectiveness of using computer explorations in pre-service teacher education in terms of procedural and conceptual knowledge construction.

• The Mathematical Education
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• v.60 no.4
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• pp.555-580
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• 2021

The purpose of this study is to explore the factors of situational interest in math learning, and based on the results, to reveal the factors of situational interest included in teaching and learning methods, teaching and learning activities in mathematics class, and extracurricular activities outside of class. As a result of conducting a questionnaire to high school students, the factors of situational interest in learning mathematics were divided into 10 detail-domain(Enjoy, Curiosity, Competence / Real life, Other subjects, Career / Prior knowledge, Accumulation knowledge / Transformation, Analysis), 4 general-domain(Emotion, Attitude / Knowledge, Understanding), 2 higher-domain(Affective / Cognitive) were extracted. In addition, it was revealed that various factors of situational interest were included teaching and learning methods, teaching and learning activities and extracurricular activities. When examining the meaning of 10 situational interest factors, it can be expected that the factors for developing individual interest are included, so it can be expected to serve as a basis for expanding the study on the development of individual interest in mathematics learning. In addition, in order to maintain individual interest continuously, it is necessary to maintain situational interest by seeking continuous changes in teaching and learning methods in the school field. Therefore, it can be seen that the process of exploring the contextual interest factors included in teacher-centered teaching and learning methods and student-centered teaching and learning activities and extracurricular activities is meaningful.

• Research in Mathematical Education
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• v.23 no.4
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• pp.235-254
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• 2020

Through this study, we aimed to capture the nature of a mathematics method course, called "the Curriculum Development and Teaching Methods in Mathematics Education" which is a pedagogy course for teaching for secondary school mathematics taught at a university located in a south eastern part of South Korea. The research participants include three junior students who took the methods course and a local high school math teacher with two professors. The research has three parts. First, we designed a method course to prepare the junior or senior students for a teaching practicum. The individual students gave a mini lecture about a secondary mathematical topic as a course requirement. Second, the three students watched a classroom video-clip of the high school teacher and analyzed his instruction before the actual classroom visits. Furthermore, by "Let's Learn" program for students, the course was associated with a local community through the students and so that they could visit the teacher's classroom three times to observe his math classroom teaching. The students discussed the difference between their own mini lectures and the actual math classroom teaching to develop an understanding of what it entails to teach an actual math class. Third, the first author supervised the students' activities in the program including their report for it to bring out their findings to the class of the method course. We found out this method course provided the students with the experience of various aspects of actual math lesson as well as learning theories about the pedagogy for teaching for secondary school mathematics. We conclude that this course gives a model for the method course in mathematics education for secondary school mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.3 no.1
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• pp.75-92
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• 1999

Many educators say that one of the key theory which is widely accepted teaching-learning process in the 7th mathematics curriculum is constructivism. They believe constructivism is very powerful as a background theory in teaching-learning mathematics and in this point of view, each student can construct knowledge by himself in the inner world. Therefore, the aspect of teaching-learning methods in the 7th mathematics curriculum focused on inquiry learning, self-directed learning, cooperative learning. Through this methods, the 7th mathematics text also composed of ease, interesting and dynamic activity oriented subjects. And constructive teaching-learning methods in mathematics is implemented variously by those whom attracted in constructivism. Thus, the purpose of this study is to build up a model that is required to systematize teaching-learning process in mathematics as a guideline for teachers. Another purpose of this study is to make clear that the presented model is appropriate process for teaching-learning in mathematics.

• Research in Mathematical Education
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• v.25 no.1
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• pp.1-20
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• 2022

Collaborative learning has been highlighted as an effective method of teachers' professional development in various studies. To disclose teachers' discourse threads in the process of collaborative learning for developing their knowledge, this paper adopted two methods including "content analysis" and "time-sequential analysis" of learning analytics. Such analyses were implemented for mining teachers' updated knowledge and the discourse threads in the discussion during collaborative learning. The materials for analysis involved two aspects: one was from the video-taped lesson observation reports written by teachers before and after discussing, and the other was from their discourses during the discussion process. The results proved that teachers' knowledge for teaching the centroid of a triangle was updated in the collaborative learning period, and also revealed the discourse threads of teachers' collaboration contained "requesting information or opinions", "building on ideas", and "providing evidence or reasoning", with the emphasis on "challenging ideas or re-focusing talk"

• Journal for History of Mathematics
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• v.25 no.2
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• pp.57-70
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• 2012

In this study, a teaching unit for mathematically gifted students is designed, based on Lakatos's perspective. First, students appreciated the exceptions of Desargue theorem and introduced the point at infinity to remove the exceptions. Finally students were guided to realize that the exceptions and the general case of Desargue theorem have equal status. Exploring Desargue theorem with other viewpoints, gifted students experienced the growth of mathematical knowledge due to exceptions of the theorem.

• School Mathematics
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• v.3 no.2
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• pp.249-265
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• 2001

In this information-oriented society of the 21st century, our education should combine the knowledge from the past and present in order to have students be ready to solve “the problems in the future”. But nowadays, our social situation makes much importance of the “cramming” education just for the College Scholastic Ability Test rather than the “whole man” education for making creative citizens of the future society. So does mathematics education. In a high school, mathematics education should be toward these aims: recognizing the value of math, applying mathematical principles to actual lives, promoting students' thinking ability. Also, it should focus on teaching higher level of mathematical knowledge which includes more logical and abstract idea so that students can prepare for the global society of the future. This study is about development and utilization of the teaching materials for mathematics class which usually deviates from the routine right after the Scholastic Ability Test finished. These materials are the result of a complete survey of the 3rd graders and their teachers and designed to use for 30 periods of class from after-the-test-finished to graduation. The materials consist of a history of mathematics, puzzles, magic number squares, and so on. Remarkably different from the current textbooks which deal with sets, equations, functions, these materials proved to be useful for their variety and attraction. Consequently, the materials are considered to keep the 3rd graders from forgetting mathematics even after the Scholastic Ability Test, and to help them recognize that mathematics is a kind of basic and cultural study and a tool of daily lives.

• The Mathematical Education
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• v.48 no.1
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• pp.93-105
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• 2009

Considering the fact that PCK(pedogogical content knowledge) tends to guarantee the identity of mathematics education as a discipline and the teacher professionalism, PCK is one of the core concepts in the research on subject matter education. The purpose of this study is to review domestic and international researches on the definition and the components of PCK in mathematics. Based on the review, this study identified 3 knowledges which consist PCK; knowedge of mathematic content, knowledge of learner's understanding, and knowledge of teaching. Then this study provided some examples of PKC in the topic, the limit of sequences, and introduced the LMT and TEDS-M items, which were designed to measure the teacher's PCK. Lastly, this study attempted to evaluate the items on mathematics education included in the Teacher Employment Test administered for pre-service/. teachers in Korea based on PCK.