• School Mathematics
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• v.15 no.2
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• pp.243-262
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• 2013

This study attempts to create an analytical framework of the transformation and transmission of knowledge by teachers to students. I focuses on the assertion that the cognitive thinking of a teacher is reflected in his use of mathematical language. Mathematical language is one of the critical elements of communicating mathematical knowledge to students. I examined the cognitive teaching style of different teachers as expressed in their use of mathematical language. An analytical framework of Mathematics Teaching styles was created integrating thinking factors of each visual and analytic style into 5 categories. After that, I regarding the teaching style of mathmatics teachers places its significance not on which teaching style is right or wrong but on identifying the strong and weak points of the teaching styles through actual analysis. With the help of this analytical framework, I conducted an analysis on the videotaped classes and found that the teachers were not biased to one side but in fact there were teachers who demonstrated visual, analytic or mixed teaching style. Therefore, I concludes that math teachers can analyze their teaching styles and improve them through the analytical framework provided in these findings.

• Journal of the Korean School Mathematics Society
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• v.22 no.3
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• pp.241-256
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• 2019

In this paper, we analyzed the types of tasks presented in the 'Probability and Statistics' textbooks and how the cognitive competences required to perform the tasks provide students with opportunity-to-learn. To this end, the analysis of the 9 books of the 'Probability and Statistics' test textbooks according to the 2015 revised mathematics curriculum showed that the context-based tasks(CF type, RE type) ranged from 67.5% to 78.0% of the total number of tasks in each textbook, but the ratio of relevant and essential tasks related to real life is from 0.4% to 2.0%, it was found that most of the context-based tasks presented in the textbooks were disguised as real life materials. The cognitive competences of context-based tasks ranged from 29.6% to 50.0% in reproduction category, from 33.8% to 54.3% in connection category, and from 8.8% to 20.0% in reflection category. As a result, there was not enough opportunity-to-learn for students to experience reflective cognitive processes.

• The Mathematical Education
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• v.57 no.3
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• pp.247-270
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• 2018

The purpose of this study is to investigate the mathematical disposition and mathematical communication level of elementary school students in the process of applying mathematical journal writing activities. For this study, 21 third grade students in elementary school were observed when they participated in mathematical journal writing activities while studying number and operation area. According to the Mathematical disposition pre-test and post-test results, mathematical confidence, mathematical flexibility, mathematical will, and mathematical reflection increased and it was statistically proved. Expression and explanation level of the mathematical communication writing area also increased as the mathematical journal writing activity continued. Thus, mathematical journal writing activities can help to enhance the core competencies of the 2015 revised mathematics curriculum while make students 'to develop and transform mathematical expressions' and 'to express oneself'. Also, it provides implications of including active writing activities such as mathematical journal writing activities into mathematics classroom. Furthermore, the change in mathematical communication level according to mathematical disposition level was not statistically significant. Therefore, when providing active writing activities including mathematical journal writing activities into classroom, it is necessary to understand students' individual characteristics and to encourage communication to be active rather than giving feedback based on one's mathematical disposition level.

• School Mathematics
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• v.11 no.3
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• pp.463-477
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• 2009

Decimal Fraction with a significant meaning is being treated for long periods, from elementary school to high school. It is necessary to consider in a course of guidance about various aspects of decimal Fraction first of all in order that student understand well about the concert of it. If you overlook guidance of various means of decimal Fraction, Previously learned number system is limited understand of Decimal Fraction concept or meaning of Decimal Fraction limited to the one is difficult to calculate the Decimal Fraction, even can weaken understand of Real Number. Accordingly, in this study, we would like to separate meanings of the Decimal Fraction, focusing on the role and function of the Decimal Fraction in various situations used the Decimal Fraction. Based on this, we analyzed and criticized how to introduce the Decimal Fraction in elementary school textbooks according to the 7th curriculum.

• Journal of the Korea Society of Computer and Information
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• v.16 no.11
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• pp.145-152
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• 2011

The study analyzed effects of the problem-based learning utilizing cognitive algorithms in elementary mathematics education in terms of academic achievement and math attitude changes. In order to solve the research questions, a cognitive algorithm-based PBL model was derived based on N. Landa's algorithm-based instructional design theory. And the model was applied to a part of second semester math curriculum for 4th grade of an elementary school located in Seoul. The results showed that the PBL utilizing algorithms can be said to have effects on academic achievement. The PBL model is also considered to have positive effects in enhancing mathematical attitudes of the learners.

• Communications of Mathematical Education
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• v.24 no.3
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• pp.691-708
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• 2010

The purpose of this study is to analyze 'datum' of 'The Data' in the textbooks of middle school on the basis of 'The Data of Euclid' and develop datum. For this, the followings are conducted. First, the distinctive structure of datum of 'The Data' is considered. Second, some learning materials the contents of geometry in the textbooks of middle school are analyzed and the mathematical meanings are explored. Third, the applicable datum to geometry education of middle school are developed and the way of educational use is studied. The hopefully, the result of this study will make school mathematics education more plentiful and give meaningful implications to revision of mathematics education curriculum and the improvement of teaching and learning.

• Communications of Mathematical Education
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• v.37 no.4
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• pp.653-674
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• 2023

The development of mathematical problem solving ability and the making(transforming) mathematical problems are consistently emphasized in the mathematics curriculum. However, research on the problem making methods or the analysis of the characteristics of problem making methods itself is not yet active in mathematics education in Korea. In this study, we concretize the method of deductive problem making(DPM) in a different direction from the what-if-not method proposed by Brown & Walter, and present the characteristics and phases of this method. Since in DPM the components of the problem solving process of the initial problem are changed and problems are made by going backwards from the phases of problem solving procedure, so the problem solving process precedes the formulating problem. The DPM is related to the verifying and expanding the results of problem solving in the reflection phase of problem solving. And when a teacher wants to transform or expand an initial problem for practice problems or tests, etc., DPM can be used.

• Communications of Mathematical Education
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• v.23 no.2
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• pp.279-296
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• 2009

In this paper, we utilize student survey, scholastic level assessment and class evaluation in order to address the problems and find out the improvements on operating the subjects in the university-level program(UP), focusing on the Calculus I. We also propose effective management strategies and learning methods for the UP classes consisting of excellent high school students.

• Communications of Mathematical Education
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• v.8
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• pp.165-177
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• 1999

1989년에 NCTM에서 Curriculum and Evaluation Standards for School Mathematics(이하 Standards)를 발간한 이래로 수학교육은 Standards의 정신에 많은 영향을 받아왔다. 90년대의 수학교육은 학생들의 수학적인 문해능력(literacy)의 중요성을 반영하여 학생들이 수학의 가치를 느끼도록 하며, 자신들의 수학적 능력에 대해서 확신을 가지게 하며, 수학적인 문제해결자가 되도록 하며, 수학적으로 의사소통하는 것을 학습하며, 수학적으로 추론하는 것을 학습함으로서 아동들에게 수학적인 힘을 길러주는데 중점을 두고 있다. 특히 수학적 의사소통능력은 학생들의 수학적인 힘을 기르는데 매우 중요하다. 아동들의 수학적인 의사소통 능력을 향상시키기 위해서 교사는 아동들이 상대방의 아이디어가 받아들일 만한 것인지에 대해서는 비판하고 토론을 하도록 하되 발표한 사람을 비난하는 일이 없도록 각 학급에서는 의사소통과 상호작용에서의 사회적인 규범과 사회-수학적인 규범이 형성되도록 해야 할 것이다. 이런 규범을 바탕으로 교사와 학생이 협력함으로써 서로의 아이디어에 대해 원활한 의사소통을 이룰 수 있다. 그래서 무엇보다 중요한 것은 문화공동체로서의 교실내에 의사소통을 촉진할 수 있는 규범을 형성하는 것이라고 할 수 있다. 이런 규범은 교사 혼자의 노력으로 이루어지는 것이 아니라 교실 구성원 전체의 상호작용에 의해서 장시간에 걸쳐서 형성된다고 할 수 있다.

• Korean Journal of Child Studies
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• v.27 no.4
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• pp.147-163
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• 2006

The purpose of this study was to investigate whether there are any differences among kindergarten teachers', primary school teachers', and children's mothers's perceptions-belief, knowledge, practice-about the educational articulation between kindergarten and primary school. The results of this study were as follows; First, there were differences among kindergarten teachers, primary school teachers, and mothers about the belief of articulation content. Second, in the knowledge of educational articulation, kindergarten teachers's understandings of the counterpart's curriculum were higher than that of primary school teachers's. Third, in the practice of educational articulation, kindergarten teachers and mothers were focused language and mathematics learning for educational articulation. But primary school teachers were focused school adjustment.