• Research in Mathematical Education
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• v.22 no.3
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• pp.203-222
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• 2019

Despite its importance when it is employed in classrooms, scaffolding is limited in the classrooms. Many researchers have focused on contingent teaching, which is the first component of scaffolding. Given a lack of research on contingent teaching with prospective teachers (PSTs), this paper explores how PSTs intend to do contingent teaching in small groups when they engage in mathematics teaching. Building on research on contingent teaching, I analyzed 26 PSTs' written responses to scenarios in an online open-ended survey. The focus of the analysis was on how the PSTs would do contingent teaching that might support students to learn the subject matter. I present findings in relation to what the PSTs' responses showed in relation to contingent teaching with the subject matter. The findings will be discussed along with implications.

• Hwankyungkyoyuk
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• v.17 no.1
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• pp.133-143
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• 2004

This study aims to explore the ways in spreading and maturing of environmental Education(EE) in secondary school. To deal with this issue, researchers investigate the actual conditions of EE and grope for the ways in spreading and maturing of EE. According to investigation, the selecting rate of environment subject in secondary school is about 3%(compared selecting rate of other subject matters) in 2003. Based on the result, this study suggests followings. First, sequencing strategy of EE curriculum will be expected very efficaciously. Secondly, there is need to empasize daily experiences of EE beyond the formal subject matter. Thirdly and ultimately, thers is need to reform school curriculum centered EE. Moreover, there is need to empasize teacher education for the environment not only pre service but also in-service teacher training.

• School Mathematics
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• v.16 no.2
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• pp.303-315
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• 2014

Even though the variety of expressions are dealt with in Korean elementary mathematics, the systematization of the subject matter of expressions is still insufficient. This is basically due to the failure of revealing clearly the identity of expressions dealt with in elementary mathematics. In this paper, as a groundwork to improve this situation, after the classification of signs as elements constituting expressions, in a position to consider elementary mathematics using transitional signs such as ${\square}$, ${\triangle}$, etc and words or phrases in expressions, expressions were defined and classified based on that classification of signs. It can be presented as the conclusion that the following four judgements which helps to promote the systematization of the subject matter of expressions are possible through this definition and classifications. First, by clarifying the identity of the expressions, any mathematical clauses or sentences can be determined whether those are expressions or not. Second, Forms of expressions can be identified. Third, the subject matter of expressions can be identified systematically. Fourth, the hierarchy of the subject matter of expressions can be identified.

• Journal of the Korean School Mathematics Society
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• v.14 no.2
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• pp.123-142
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• 2011

Recently, a number of researches acknowledge the importance of 'reflection' and 'reflective teacher education,' and they highlight the implication of 'reflection' on the teacher's profession or the teacher education. The reflective thought is interpreted as a subject that should be taught or a sort of strategy that a teacher should learn, while the aspect is excluded that reflection is the interaction between the innate knowledge and the practice. As a result, the reflective teacher education programs that increase the level of reflection are developed and practiced, and the reflection is accepted as a tool for increasing teacher professionalism. Reflective teaching is en essential and basic element for the development of teacher knowledge. In particular, such teacher knowledge might be being gradually expanded by a teacher's self-assessment on reflection on his own instruction. For this reason, this study develops an assessment framework on instruction which is comprized of teacher knowledge and instructional process. To accomplish this, in this study, teacher knowledge is considered as a whole practice knowledge combined by subject matter knowledge, understanding of learners, teaching and learning methods and assessment, and instructional environment. Also, success on instruction in mathematics class might depend on the acquisition of teacher knowledge, instructional planning, instructional execution, and furthermore reflection on instruction. Especially, this study emphasizes that 'reflection on instruction', the most important step of instruction be reflected and examined by the teacher himself.

• Journal of Korean Elementary Science Education
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• v.31 no.3
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• pp.372-385
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• 2012

For decades, reflection has been recognised as a meaningful tool to bring forth teachers' ownership as well as knowledge and action empowerment in teacher education. Yet there have been few studies on elementary teachers' reflection on their science teaching in Korea. In this study, 71 reflective journals of 24 elementary teachers on their science teaching were analyzed. The characteristics of reflective journals were analyzed in terms of 'productive reflection', a concept suggested by Davis (2006). Unproductive reflection is mainly descriptive without analysis, whereas productive reflection can promote teachers' learning by integrating four aspects of teaching (learner/learning, subject matter knowledge, instruction and assessment). The result showed what elementary teachers consider and emphasize and how they integrate their ideas. Most of reflective journals included aspects of 'instruction', 'learner/learning', and 'subject matter knowledge'. However 'instruction' was emphasized most frequently (69.0%) than 'subject matter knowledge' (33.8%) and 'learner/learning' (26.8%). 'Assessment' was hardly included nor emphasized. More than half of the journals (56.3%) showed no integrations, which were unproductive reflection. A third of the journals (32.4%) integrated only two aspects among four. Average score of integrations was 1.6 on a scale of 4 points. The integrations were not affected by the length of reflective journals and the teaching experience. These findings suggest that productive reflection would not increase naturally with teaching experience and there needs more tactful guidance to develop elementary teachers' productive reflection on their science teaching.

• Korean Journal of Human Ecology
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• v.18 no.3
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• pp.631-639
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• 2009

This study examines how the project approach utilizing beans as the subject matter influences young children's scientific research capabilities and scientific attitudes. This examination ultimately aims at developing effective teaching methods and programs that can promote children's scientific research capabilities and scientific attitudes. Thirty six children at H kindergarten in Gunsan, Jeollabuk-do were selected as subjects of this study. The children aged five were divided into an experiment group and a comparison group, with eighteen for each group. Before the experiment, a pre-test was conducted on the children's scientific research capabilities and scientific attitudes. The pre-test results were subject to a t test to identify whether there were differences between the two groups in age as well as the levels of scientific research capabilities and attitudes. A post-test was also conducted to determine the differences between the two groups in these categories. These results have led to the conclusion that the project approach utilizing beans as the subject matter has a positive impact on improving young children's scientific research capabilities and scientific attitudes.

• Research in Mathematical Education
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• v.24 no.1
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• pp.49-67
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• 2021

In this study, the researchers analyzed the 2015 revised 3rd~6th grade Korean mathematics textbooks from the aspects of social justice in mathematics education. For this study, the researchers constructed a textbook analysis framework for social justice subjects, which categorized by social issues, economy education, democratic education, personality education, safety education, environmental education, and career education. As a result, the 2015 revised elementary mathematics textbooks were reflected the subject matter of social justice in the order of social issues, economic education and democratic education, personality education and environmental education, safety education and career education. Also, the subject of social justice appears in all 3rd~6th grade mathematics textbooks, but it is not explicitly dealt with by combining it with mathematical content. The researchers suggested that mathematics lessons should be developed including social justice issues aligned with elementary mathematics contents.

• The Mathematical Education
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• v.39 no.2
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• pp.145-150
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• 2000

In this paper, we study the subject-matter knowledge related to the problem about rational exponent with negative bases. From the school mathematics point of view, we first investigate the meaning of the extensions of the number systems. We analyze the intrinsic meaning involved in the (-8)$^{1}$ 3) through the natural interpretation of rational exponent with negative bases by the complex number. we explain why it is important for a teacher to have the subject-matter knowledge in order to detect and correct student\`s mistake and misunderstanding.

• The Mathematical Education
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• v.43 no.3
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• pp.257-273
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• 2004

In this paper, we analyze what the components of mathematics teacher` knowledge are, and find that mathematics teacher need knowledge of three areas: subject matter knowledge, pedagogical knowledge, and pedagogical content knowledge. Studies of practicing teachers suggest that When teachers lack understanding in their respective disciplines, it inhibits them from providing students the best learning opportunities, but that a teacher possessing pedagogical content knowledge provides learners with multiple approaches into learning. Some teachers having sound knowledge of mathematics and students were able to respond appropriately to students' questions, design appropriate learning activities involving a variety of mathematical representations, and orchestrate mathematical discourse in the classroom. Thus, it appears that mathematics teachers' knowledge positively affect teaching and student learning..

• East Asian mathematical journal
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• v.33 no.4
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• pp.353-380
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• 2017

The purpose of this study is to analyze the multiplication units in the elementary school mathematics. In the 2015 revised curriculum, students learn multiplication in $2^{nd}$ grade. The multiplication units is divided into two: multiplication and multiplication facts. In these two units, we mainly analyze situations involving multiplication, models for teaching multiplication, and multiplication strategies for teaching multiplication facts in relation to Subject Matter Knowledge. We called these contents Multiplication Matter Knowledge. We examined the precedent study with regard to multiplication at the elementary mathematics. As results, we prepared an analysis framework for this study. This study was conducted according to qualitative research methods, expecially 'qualitative contents analysis'. The contents here refer to Multiplication Matter Knowledge that can be found in the elementary mathematics textbooks and working books etc. As results of analysis, We can confirm that various multiplication situations and multiplication models are presented in the textbooks. And it has been examined that various multiplication properties are presented in the textbook according to the multiplication strategy levels. We insist elementary school teachers should be aware of these Multiplication Matter Knowledge. This study aims to provide elementary school teachers with basic data in these contexts.