• Journal of Educational Research in Mathematics
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• v.24 no.2
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• pp.181-204
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• 2014

This research aims to have some implications for revision of curriculum and textbooks by analysing connections between the 2009 revised national curriculum and its textbooks in elementary school mathematics. The results of analyses for 3~4 grades can be summarized in four aspects: Firstly, we noticed that the reconstructed achievement criteria were reflected properly in the textbooks except for use of calculators in 'Numbers and Operations'. Secondly, the analysis of connections between unit objectives of textbooks and the reconstructed achievement criteria suggests that 10 units must receive attention. Especially, the range of decimal numbers for adding and subtracting needs to be corrected. Thirdly, mathematical terms and symbols excluding 'unit fraction' were found in the textbooks. Finally, mathematical processes were also fully reflected in the textbooks. However 'simplifying' as a strategy for problem solving was only missing. This result shows good or poor connections between the curriculum and its textbooks, therefore it is expected to be used effectively to revise the national curriculum for mathematics and its textbooks.

• Communications of Mathematical Education
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• v.27 no.3
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• pp.205-220
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• 2013

In this research, in order to investigate the principles for the development of mathematics textbook for decision-making based on storytelling, we conceptualized the educational meaning of decision-making and specified the principles and the methods for the textbook based on decision-making. We illustrated the principles and the methods by the cases from the model textbook for the conditional probability that we have developed. We discussed the implication for the future development and implementation of mathematics textbook for decision-making based on storytelling.

• Journal of Elementary Mathematics Education in Korea
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• v.4 no.1
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• pp.21-37
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• 2000

Although methods about teaching basic principles and skills of addition and subtraction is long traditional, view points of interpreting those algorithms and ways of introducing those calculating skills are various according to textbooks at each historical stage of elementary mathematics curriculum development in Korea. The 1st and 2nd stage shows didactic transpositions less systemic. In the 3rd and 4th stage, didactic devices, which were influenced by the new math, for help of understanding the principles of addition and subtraction muchly depends on mathematical and logical mechanism rather than psychological and intellectual structure of students who learn those algorithms. Relatively compromising and stable forms appear in the 5th and 6th stages. Didactic transpositions in the 7th stage focus on the formation of mathematical concepts by exploration activities rather than on the presentation of mathematical contents by text. Anyone who wishes to design an elementary mathematics textbooks based upon the constructive view should consider the suggestions derived from such transition.

• Communications of Mathematical Education
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• v.24 no.4
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• pp.843-864
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• 2010

To get an undergraduate degree from mathematics education department, a student not only take a general educational technology course from education department, but also take an educational technology in mathematics education course from mathematics education department. We believe that these two courses can be integrated for preparing better mathematics teachers. For this purpose, we design an educational technology tool called JavaMAL microworld, and study strategy to integrate two courses harmoniously. This kind of approach is good for internationalization of researches on mathematics education by Korean researchers since most SSCI journal prefer an integrated approach in the educational technology related papers. In short, integrating general educational technology course and educational technology in mathematics education course is not only good to student but to professors. But just integrating two courses is not enough. Students must understand the needs and the usefulness of educational technology tool in the learning and teaching of mathematics, and must have such experience from their mathematics courses.

• Journal of Educational Research in Mathematics
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• v.25 no.1
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• pp.21-58
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• 2015

The aim of this study is to look into the didactical background for teaching proportional reasoning in elementary school mathematics and offer suggestions to improve teaching proportional reasoning in the future. In order to attain these purposes, this study extracted and examined key ideas with respect to the didactical background on teaching proportional reasoning through a theoretical consideration regarding various studies on proportional reasoning. Based on such examination, this study compared and analyzed textbooks used in the United States, the United Kingdom, and South Korea. In the light of such theoretical consideration and analytical results, this study provided suggestions for improving teaching proportional reasoning in elementary schools in Korea as follows: giving much weight on proportional reasoning, emphasizing multiplicative comparison and discerning between additive comparison and multiplicative comparison, underlining the ratio concept as an equivalent relation, balancing between comparisons tasks and missing value tasks inclusive of quantitative and qualitative, algebraic and geometrical aspects, emphasizing informal strategies of students before teaching cross-product method, and utilizing informal and pre-formal models actively.

• Education of Primary School Mathematics
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• v.18 no.1
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• pp.45-59
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• 2015

This study focused on the classification of triangles by angles in elementary school mathematics. We examined Korean national mathematics curriculum from the past to the present. We also examined foreign textbooks and the Euclid's . As a result, it showed that the classification is not indispensable from the mathematical and the perceptual viewpoint. It is rather useful for students to know the names of triangles when studying upper level mathematics in middle and high schools. This study also suggested that the classification be introduced in elementary school mathematics in the context of reasoning and inquiring as shown foreign textbooks, and example topics for the reasoning and inquiring.

• Communications of Mathematical Education
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• v.12
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• pp.171-183
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• 2001

본 연구는 2000년도 교육부 학술 연구 조성비 지원에 의하여 1년간 연구되었으며, 본 연구에서는 창의성에 대한 국내외 문헌 연구, 창의적 성향의 활성화를 위한 방안 모색, 중학교 학생을 위한 창의적 성향 활성화를 위한 교수-학습 자료 개발 등이 이루어졌다. 특히, 본 연구에서는 중학교 일반 학생들을 대상으로 창의적 성향의 활성화를 위한 퍼즐 학습 자료와 수학 교과 내용에 대한 다양한 접근 방법들이 모색되었다.

• Communications of Mathematical Education
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• v.12
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• pp.303-315
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• 2001

본 논문에서는 고등학교 수학교과 7차 교육과정중 미분 단원의 교수 학습을 위한 프로그램을 Visual Basic 프로그램으로 설계한 과정과 그 기능을 기술하였다. 함수의 미분을 위한 초기의 좌표와 미분할 점의 좌표, 실행회수 등의 데이터를 입력 ${\cdot}$ 실행하여 그 결과(접근과정)를 화면에 도표와 그래프로 나타나게 하였고 미분단원의 ‘학습내용’과 ‘사용설명’의 기능을 추가하였다. 보조계산이나 함수의 입력을 위해 “함수값 계산”, “극한값 계산”, “함수입력판” 등의 창(폼)을 설치하였다. 이 프로그램은 일선 학교 교육 현장에서 수학 교수-학습을 위한 효율적인 시청각 자료로 활용 될 수 있을 것이다.

• School Mathematics
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• v.13 no.1
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• pp.65-88
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• 2011

Epistemological development process of the Fundamental Theorem of Calculus is considered in a history of mathematical notions and the genetic process of the Fundamental Theorem is arranged by the order of geometric, algebraic and formalization steps. Based on this, we studied students' episte- mological obstacles and error and analyzed the content of textbooks related the Fundamental Theorem of Calculus. Then, We developed the "Folding Back Model" of the fundamental theorem of calculus for students to lead meaningful faithfully. The Folding Back Model consists of "the Framework of thou- ght"(figure V-1) and "the Model of genetic understanding of concept"(figure V-2). The framework of thought in the Folding Back Model is included steps of pedagogical intervention which is used "the Monitoring working questions"(table V-3) by the mathematics teacher. The Folding Back Model is applied the Pirie-Kieren Theory(1991), history of mathematical notions and students' epistemological obstacles to practical use of instructional design. The Folding Back Model will contribute the professional development of mathematics teachers and improvement of thinking skills of students when they learn the Fundamental Theorem of Calculus.

• Communications of Mathematical Education
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• v.15
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• pp.93-98
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• 2003

최근 세계의 수학교육 동향은 모든 학생들이 수학을 이해하는 것을 돕고, 그들이 점차 증가하고 있는 기술 공학적 세계에서 수학을 사용할 수 있도록 준비시키기 위해서는 계산기나 컴퓨터를 적극 활용할 것을 권장하고 있다. 우리나라에서도 계산 능력 배양이 목표인 영역을 제외하고는, 복잡한 계산, 수학적 개념 ${\cdot}$ 원리 ${\cdot}$ 법칙의 이해, 문제 해결력 향상 등을 위하여 가능하면 계산기나 컴퓨터를 적극 활용하도록 하고 있다. 하지만, 아직까지 구체적인 활용 방침이나 범위, 구체적인 지도 지침이 없는 것은 계산기 활용과 관련한 연구가 부족하기 때문인 것으로 생각된다. 따라서 본 연구에서는 먼저 계산기 활용 방안을 살펴보고, 제 7차 교육과정에 따른 초등학교 5, 6학년 수학과 교과 내용 중에서 계산기를 활용할 수 있는 내용을 선정하여 구체적으로 그 활용 방안을 제시하고자 한다.