• 한국수학교육학회지시리즈D:수학교육연구
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• 제22권3호
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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.

• 대한수학교육학회지:학교수학
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• 제4권1호
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• pp.49-62
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• 2002

developed by solving practical problems and gradually formalized and abstracted. But school mathematics seemed to stress the formalized and abstracted mathematics. The same is the case with calculus. In particular, it appeared extremely in teaching of calculus. It caused hindrance of learning and indeed, many students had difficulties in teaming of calculus. Therefore this study investigates the various approaches of calculus teaching and the history of calculus which include approaches by Archimedes, Galileo, Newton, Leibniz and Weierstrass etc. This may offer the implication for calculus teaching and we can find the alternative on the method of calculus teaching in historico-genetic principle. Finally we suggest the direction of calculus teaching from this perspective in tile concrete.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제15권2호
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• pp.105-114
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• 2011

During the 20th century, the secondary school mathematics teaching in China had been developing from the an old-style private school form with individual instruction to classroom teaching with Chinese characteristics, which experienced three stages of development; the stage for the formation of modern teaching system (1902-1949), the stage for development (1950-1976), and the stage for innovation (1977-2000). The characteristics and journey for the transformation will exert great for reference and effects for the reform of secondary school mathematics teaching nowadays.

• International Journal of Computer Science & Network Security
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• 제22권5호
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• pp.255-265
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• 2022

Educational programs for students with intellectual disabilities have undergone drastic changes in pursuit of the general curriculum. Accordingly, teachers in various fields, including mathematics, strive to find effective methods that enhance learning. The objective of this systematic review is to examine the field of teaching mathematics to students with intellectual disabilities to investigate relevant effective teaching strategies and required teaching skills. To achieve this goal, studies published during the period 2018-2021 were reviewed. Findings indicate the inclusion of nine studies that met the inclusion criteria out of 55 studies. The included studies found that the system of least prompts (SLP) in conjunction with feedback and error correction, and schema-based instruction are generally the most effective strategies in teaching mathematical skills to students with intellectual disabilities. Addition is the most targeted skill, followed by subtraction and algebra problem solving. The least targeted skills are multiplication, recognition of geometric shapes, calculating price after discount, rapid recognition of numbers, and rapid problem solving. The paper provides recommendations and suggests venues of future research.

• 한국보육학회지
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• 제19권2호
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• pp.19-33
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• 2019

본 연구의 목적은 그림책을 활용한 유아수학교육학습 경험이 예비유아교사의 수학에 대한 태도와 수학교수효능감에 미치는 영향을 알아보는 데 있다. 이를 위해 G광역시에 소재한 S대학교에 재학 중인 예비유아교사 39명을 연구대상으로 하여 실험집단 20명 통제집단 19명을 임의 배정하였다. 실험집단은 15주 동안 그림책에 기초한 유아수학교육 수업을 진행하였으며, 통제집단은 동일한 기간 동안 일반적인 유아수학교육 수업을 진행하였다. 수집된 자료는 SPSS 18.0 프로그램을 활용하여 수학에 대한 태도와 수학교수효능감의 결과 차이에 대한 t-검증을 실시하였다. 본 연구의 결과는 다음과 같다. 첫째, 그림책을 활용한 유아수학교육 학습 경험은 예비유아교사의 수학에 대한 태도에 긍정적인 영향을 미쳤으며, 수학에 대한 가치와 흥미를 증진시키고 수학에 대한 불안을 감소시키는 효과가 나타났다. 둘째, 그림책을 활용한 유아수학교육 학습 경험은 예비유아교사의 수학교수효능감 향상에 긍정적인 영향을 미쳤으며, 능력에 대한 신념과 결과에 대한 신념 모두 유의하게 향상되었다. 이러한 결과는 그림책을 활용한 유아수학교육 학습 경험이 예비유아교사의 수학에 대한 태도와 수학교수효능감을 향상시키는데 효과적인 교수학습 방법임을 시사한다.

• 한국수학교육학회지시리즈A:수학교육
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• 제57권2호
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• pp.179-196
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• 2018

The purpose of this study was to investigate the measurement equivalence and to suggest application ways in teaching aptitude and personality test results for pre-service mathematics teachers between a graduate school of education and a college of education. This study analyzed the scores of the teaching aptitude and personality test of 36 pre-service mathematics teachers enrolled in a graduate school of education and 111 pre-service mathematics teachers in a college of education by performing a multivariate generalizability analysis. The main results were as follows. First, graduate's pre-service mathematics teachers had a higher level of teaching aptitude and personality than that of college's pre-service mathematics teachers based on the total scores. In addition, graduate's pre-service mathematics teachers had higher levels of teaching aptitude and personality than those of college's pre-service mathematics teachers except for a creativity application domain based on the sub-domain scores. Second, cognitive domains were measured more precisely but affective domains were measured less precisely for graduate's pre-service mathematics teachers than for college's pre-service mathematics teachers. Third, regardless of school levels, Cronbach's ${\alpha}$ values, which might be overestimated by applying the classical test theory, were higher than dependability coefficients. Fourth, this study showed a somewhat negative result in ensuring the measurement equivalence for a problem solving exploration domain. However, regardless of school levels, this study indicated that the overall measurement was generally reliable on composite scores. Based on these results, it was confirmed that multivariate generalizability methodologies' approach can be useful for exploring the measurement equivalence issues. Finally, this study suggests how to utilize the results of the test, how to apply a multivariate generalizability analysis for detecting the measurement equivalence, and how to develop future research based on limitations.

• 대한수학교육학회지:수학교육학연구
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• 제20권3호
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• pp.323-338
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• 2010

이 연구는 강완, 김남준(2010) 이 Wittmann(1984)의 이론을 근거로 2007년 개정수학과 교육과정에 근거한 교수단위를 추출한 것과 동일한 방법을 통해 도형영역의 교수단위를 분석한 것이다. 교수단위는 수학에서 가르쳐야 할 내용들을 목적, 자료, 활동, 배경 등의 4 요소에 따라 알갱이 단위로 조직화 한 것이다. 본 연구에서는 2007년 개정수학과 교육과정 도형영역에서 추출된 교수단위의 특징과 제목을 분석하여 교수단위를 개념알기형, 개념적용형, 관계알기형으로 분류하여 교육적 의미를 살펴보았다. 또한, 도형영역의 교육과정연구에 어떻게 활용될 수 있는지 그 방안을 모색해 보았다. 앞으로 많은 수학연구자와 현장 교사의 참여로 교수단위가 보다 체계적으로 조직적으로 연구된다면 새로운 교육과정을 수립하는 데 중요한 자료로 활용될 수 있다.

• 대한수학교육학회지:수학교육학연구
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• 제20권1호
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• pp.45-56
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• 2010

이 연구는 독일의 수학교육학자인 Wittmann(1984)이 제시한 교수단위 이론에 근거하여 우리나라의 초등학교 수학과 교육과정을 분석한 것이다. 교수단위는 수학에서 가르쳐야 할 내용들을 목적, 자료, 활동, 배경 등의 4 요소에 따라 알갱이 단위로 조직화한 것으로, 수학연구자나 교사는 교수단위를 통해 가르쳐야 할 내용에 대한 구조적인 이해와 체계적인 조직화를 도모할 수 있다. 본 연구에서는 2007년 개정 수학과 교육과정을 중심으로 교수단위를 추출하는 과정을 단계적으로 제시하였으며, 이를 통해 교육과정을 분석하고 연구하는 새로운 대안적 방법을 제시하였다. 교수단위는 고정불변의 것이 아니고, 연구자에 의해 계속 보완되고 진화하는 모델이다. 많은 수학연구자나 현장교사의 참여로 교수단위가 개발, 조직되고, 이를 기반으로 새로운 교육과정을 수립하는 데 중요한 자료로 활용될 수 있다.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제3권1호
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• pp.47-54
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• 1999

The development of computer software accelerates the change of teaching-learning method in primary school mathematics. In this paper, we discuss how to apply the software GSP to teach mathematics in primary school and suggest some examples fur the creative and active loaming. Moreover, we give the efficient teaching method for the primary school mathematics.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제19권4호
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• pp.247-265
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• 2015

Mathematics textbook plays a significant role in shaping students' learning of mathematics. Logic, rigor and abstraction as typical features of the formalization of mathematics, dominate mathematics textbooks around the world, which is regarded as one of the important origins of students' learning difficulties in mathematics. An innovative series of Chinese mathematic textbooks is presented in this paper. Supported by the supplementary materials excerpts from the textbooks, it gives a comprehensive theoretical analysis of the principles of design and implementation of this series of mathematics textbooks. The effectiveness of this series of textbooks is demonstrated by student achievement and secondary research data. It shows that series of Chinese mathematic textbooks has largely decreased students' learning difficulties in mathematics and enhance classroom teaching efficiency. It suggests that prioritizing the essence of mathematics and reducing abstraction is an important notion for mathematics textbook design and implementation.