• Journal of Elementary Mathematics Education in Korea
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• v.2 no.1
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• pp.1-14
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• 1998

Nowadays there are presented various educational methods based on Constructivism which is regarded as newest epistemological paradigm about Knowledge and knowing, but none which is dramatically new. The educational methods proposed by the advocates of Constructivism are already put in practice by the teachers that are interested. Following this, we will interpret R. Skemp's theory about educational methods based on Constructivism. Here we will introduce various play activities for building number concepts.

• The Science & Technology
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• v.10 no.3 s.94
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• pp.16-19
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• 1977

1946년 그러니까 제2차 세계대전이 끝난 이듬해었다. 미국 메리랜드주의 수도이며 주의회가 위치한 에너폴리스의 해군사관학교를 졸업하게 된 한 젊은 이학사(BACHELOR OF SCIENCE)인 그는 수학, 이학, 공학에 정통한 유망한 사관으로서 승선하게 되었다. 전자공학과 사진담당 사관이었던 그는 "해중에서 전파의 전파"에 관한 논문을 쓴바 있다. 죠지아주 땅콩농장에 돌아가기 일년전 원자력대체수반의 승조사관에 임명되어 수학, 물리를 강의도 했고 원자로의 해체도 훌륭히 수행한바 있다. 미국과학기술계에서는 과학과 기술에 상당한 지식을 갖고 있는 대통령으로서 미국역사상 허벋, 후버이래에 이공계출신 대통령이라느니 Fourier급수로 부터 Bessel함수까지 통달하고 있는 대통령이니 하며 기대를 걸고 있다. 카터씨가 죠지아주지사로 있을때 과학제문을 두고 과학기술고문위원회를 열었으며, 주청은 죠지아대학의 성과를 이용하고 있는가? NASA의 자원위성을 죠지아주 지도제작에 이용할 수 없겠는가? 수질오염방지, 농업재해예방 씨스템 등을 검토했다. 개인적으로도 땅콩밭의 경영자로서 땅콩의 성숙기와 추수시기에 관한 연구가이기도 했다. 카터는 자유주의 개혁자로도 알려지고 있으며 환경보존에도 단호히 임하고 있다.

• Journal of Educational Research in Mathematics
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• v.27 no.3
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• pp.411-430
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• 2017

This study examined the understanding of 24 pre-service teachers about the three contexts for constructing the exponential graphs. The three contexts consisted of the infinite points context (2009 revision curriculum textbook method), the infinite straight lines context (French textbook method), and the continuous compounding context (2015 revision curriculum textbook method). As the result of the examination, most of the pre-service teachers selected the infinite points context as easier context for introducing the exponential graph. They noted that it was the appropriate method because they thought their students would easily understand, but they showed the most errors in the graph presentation of this method. These errors are interpreted as a lack of content knowledge. In addition, a number of pre-service teachers noted that the infinite straight lines context and continuous compounding context were not appropriate because these contexts can aggravate students' difficulty in understanding. What they pointed out was interpreted in terms of knowledge of content and students, but at the same time those things revealed a lack of content knowledge for understanding the continuous compounding context. In fact, considering the curriculum they have experienced, they were not familiar with this context, continuous compounding. These results suggest that pre-service teacher education should be improved. Finally, some of the pre-service teachers mentioned that using technology can help the students' difficulties because they considered the design of visual model.

• The Mathematical Education
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• v.60 no.3
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• pp.341-362
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• 2021

The purpose of this study is to explore the qualitative characteristics of pre-service teachers' motivation while they are participating in group activities for developing mathematical essay assessment problem and revising it. For this purpose, we analyzed individual factors about group learning activities as well as contextual factors about practical competency (in developing and revising mathematical essay assessment problem through collecting data of student responses to the problem). As results of data analyses, autonomy, among individual factors regarding group learning activities, was one of the main characteristics in attainment value, utility value, and intrinsic value, whereas task, authority, and grouping, among contextual factors regarding practical competency, appeared to have a positive impact on task value. These results suggest how to think of specific ideas and articulate them in designing a curriculum to develop student-evaluation expertise for pre-service teachers.

• School Mathematics
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• v.14 no.4
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• pp.469-493
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• 2012

The purpose of this study is find the relation between students' concept and types of proof construction. For this, four undergraduate students majored in mathematics education were evaluated to examine how they understand mathematical concepts and apply their concepts to their proving. Investigating students' proof with their concepts would be important to find implications for how students have to understand formal concepts to success in proving. The participants' proof productions were classified into syntactic proof productions and semantic proof productions. By comparing syntactic provers and semantic provers, we could reveal that the approaches to find idea for proof were different for two groups. The syntactic provers utilized procedural knowledges which had been accumulated from their proving experiences. On the other hand, the semantic provers made use of their concept images to understand why the given statements were true and to get a key idea for proof during this process. The distinctions of approaches to proving between two groups were related to students' concepts. Both two types of provers had accurate formal concepts. But the syntactic provers also knew how they applied formal concepts in proving. On the other hand, the semantic provers had concept images which contained the details and meaning of formal concept well. So they were able to use their concept images to get an idea of proving and to express their idea in formal mathematical language. This study leads us to two suggestions for helping students prove. First, undergraduate students should develop their concept images which contain meanings and details of formal concepts in order to produce a meaningful proof. Second, formal concepts with procedural knowledge could be essential to develop informal reasoning into mathematical proof.

• Journal of the Korean School Mathematics Society
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• v.22 no.4
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• pp.439-460
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• 2019

In this study, we examined classroom interaction to explore the relationships among teacher questions, turn-taking patterns, and student talks in mathematics classrooms. We analyzed lessons given by three elementary teachers (two first-grade teachers and one second-grade teacher) who worked in the same school using a conversation-analytic approach. We observed individual classrooms three times in a year. The results revealed that when teachers provided open-ended questions, such as "why and how" questions and "agree and disagree" questions, and used a non-IRE pattern (teacher initiation-student response-teacher feedback; Mehan, 1979), students more actively engaged in classroom discourse by justifying their ideas and refuting others' thinking. Conversely, when teachers provided closed-ended questions, such as "what" questions, and used an IRE pattern, students tended to give short answers focusing on only one point. The findings suggested teachers should use open-ended questions and non-IRE turn-taking patterns to create an effective math-talk learning community. In addition, school administrators and mathematics educators should support teachers to acquire practical knowledge regarding this approach.

• Communications of Mathematical Education
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• v.23 no.1
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• pp.109-128
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• 2009

This study aimed to investigate students' learning process by examining their perception process of problem structure and mathematization, and further to suggest an effective teaching and learning of mathematics to improve students' problem-solving ability. Using the qualitative research method, the researcher observed the collaborative learning of two middle school students by providing problem-posing activities of five lessons and interviewed the students during their performance. The results indicated the student with a high achievement tended to make a similar problem and a new problem where a problem structure should be found first, had a flexible approach in changing its variability of the problem because he had advanced algebraic thinking of quantitative reasoning and reversibility in dealing with making a formula, which related to developing creativity. In conclusion, it was observed that the process of problem posing required accurate understanding of problem structures, providing students an opportunity to understand elements and principles of the problem to find the relation of the problem. Teachers may use a strategy of simplifying external structure of the problem and analyzing algebraical thinking necessary to internal structure according to students' level so that students are able to recognize the problem.

• Communications of Mathematical Education
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• v.35 no.3
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• pp.257-275
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• 2021

This study investigated the prospective teacher's noticing of students' mathematical thinking from the perspective of how the prospective teacher pays attention to, interprets, and responds to the student's responses related to variables. The prospective teachers were asked to infer the students' thinking from the variables related to the tasks and suggest feedback accordingly. An analysis of the responses of 26 prospective teachers showed that it was not easy for prospective teachers to pay attention to the misconception of variables and that some of them did not make proper interpretations. Most prospective teachers who did not attend and interpret were found to have failed to provide an appropriate response due to a lack of overall understanding of variables. even though prospective teachers who did proper attend and interpret were found to have failed to respond appropriately due to a lack of empirical knowledge, even with proper attention and interpretation.

• Communications of Mathematical Education
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• v.23 no.3
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• pp.643-682
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• 2009

There is no doubt that the national competitiveness, in 21st century, definitely depends on how effectively it has been producing high-qualify human resources. It is inevitable that we are required to produce outstanding people who are going to make the use of highly developed scientific technology. Every country has already set to concentrate their all efforts in cultivating competitive human resources, enabling it to strengthen its national competitiveness. We Korea, in order to keep up with it, have arranged legal and systematic basis and are putting spurs to producing competent human resources under the 영재교육진흥법 및 시행령, which took effect from March, 2002. With the lack of experience and short history of Gifted Education, however, it is true that we still have many problems in promoting it in reality, We are asked to improve it by finding out what problems we have in whole area of Gifted Education, such as defining conception, choosing target students, structuring system and managing students afterwards. Therefore, this study, especially focusing on Math of Gifted Education is to investigate the present situation of Gifted Education and to examine what we should do for administering Gifted Education in effective ways.

• Journal of the Korea Convergence Society
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• v.8 no.8
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• pp.215-224
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• 2017

The purpose of this study was to analyze the cases of verbal interactions occurring during the mathematics lessons taught in middle school special classes in order to examine the elements and types of verbal interactions that occur between the teachers and students. Data were collected and analyzed for the sessions on geometric units that formed part of the mathematics lessons routinely implemented in the special classes. The analysis showed that the teachers initiated 237 (84.1%) of the 291 instances of verbal linguistic interactions. A total of 240 teachers' questions were analyzed, and questions in the area of knowledge occurred the most frequently, at 160 times (66.7%). A total of 617 student responses were analyzed, and short answers occurred the most frequently, at 367 times (59.5%). Teacher feedback occurred 581 times in total, and correct/incorrect (simple) feedback occurred the most frequently, at 234 times (40.3%). A total of 237 verbal interactions were observed between the teachers and children, and the I (RF) type (one teacher question, one student response, and one instance of teacher feedback) occurred most frequently, at 83 times (35.0%).