• School Mathematics
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• v.9 no.2
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• pp.197-222
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• 2007

The study aims to reflect the elementary school geometry education based on the Realistic Mathematics Education in the Netherlands in the light of the results from recent researches in geometry education and the direction of geometry standards for school mathematics of the National Council of Teachers of Mathematics in order to induce implications for improving korean geometry curriculum and textbook series. In order to attain these purposes, the present paper reflects the history of elementary school geometry education in the Netherlands, sketches the elementary school geometry education based on the Realistic Mathematics Education in the Netherlands by reflecting general goals of the mathematics education, the core goals for geometry strand of the Netherlands, and geometry and spatial orientation strand of Dutch Pluspunt textbook series for the elementary school more concretely. Under these reflections on the documents, it is analyzed what is the characteristics of geometry strand in the Netherlands as follows: emphasis on realistic spatial phenomenon, intuitive and informal approach, progressive approach from intuitive activity to spatial reasoning, intertwinement of mathematics strands and other disciplines, emphasis on interaction of the students, cyclical repetition of experiencing phase, explaining phases, and connecting phase. Finally, discussing points for improving our elementary school geometry curriculum and textbook series development are described as follows: introducing spatial orientation and emphasizing spatial visualization and spatial reasoning with respect to the instruction contents, considering balancing between approach stressing on grasping space and approach stressing on logical structure of geometry, intuitive approach, and integrating mathematics strands and other disciplines with respect to the instruction method.

• Journal of the Korean School Mathematics Society
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• v.21 no.3
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• pp.267-285
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• 2018

The purpose of this thesis is to analyze and compare 'Game Activities' of elementary mathematics textbooks developed in the national curriculum revised in 2015, and to find suggestions to improve 'Game Activities' of the textbooks based on the results. The main results of this study are as follows. First, as for materials, various types of materials were used in 'Game Activities'. Also, more various materials were included in 2nd grade textbooks and 1st, 2nd grade teacher's guidebooks than 1st grade textbooks. Second, this study analyzed the patterns of organization. The result showed that group and pair activities accounted for the highest rate among other patterns of organizations. Textbooks should include more pattern types of organizations that teachers could use them properly according to numbers of students in classes. For the 'Game Activities', students need to understand basic concepts of the chapter first. Students with lower levels would have difficulty participating in the 'Game Activities'. Thus, there is a need to include activities for students with lower levels in teachers' guidebooks, reflecting a variety of students levels.

• School Mathematics
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• v.5 no.2
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• pp.167-189
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• 2003

Mental arithmetic has recently gained a higher profile in primary school mathematics. The study aims to reflect didactical background of mental arithmetic in number and operations curriculum for primary school mathematics. In order to attain these purposes, the present paper describes the meaning of mathematical literacy and didactical background of mental arithmetic on which have been laid emphasis in relation to mathematical literacy in many countries. Also it shows current suggestions for mental arithmetic instruction in Everyday Mathematics Project in USA, Numeracy Number Project in Great Britain, TAL project based on Realistic Mathematics Education in the Netherlands, and mathe 2000 project in German in order to gain practical ideas for teaching mental arithmetic. Furthermore, it discusses mental strategies of students and didactical models for improving mental arithmetic instruction based on the results of many researches. Under these theoretical foundations, it is analyzed how mental arithmetic is developed in our number and operations curriculum, focused on mental strategies and didactical models. Finally, implications for improving our mental arithmetic instruction are discussed.

• School Mathematics
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• v.7 no.4
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• pp.403-425
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• 2005

The study aims to get real picture of primary mathematics education based on RME in the Netherlands focusing on number and operations strand by reflecting and analyzing the documents in relation to the primary school mathematics curriculum. In order to attain these purposes, the present paper describes the core goals for mathematics education, Dutch Pluspunt textbook series for the primary school, and a learning-teaching trajectory by TAL project which are determinants of the Dutch primary school mathematics curriculum. Under these reflections on the documents, it is analyzed what is the characteristics of number and operations strand in the Nether-lands as follows: counting numbers, contextualization, positioning, structuring, progressive algoritmization based on levels, estimation and insightful use of a calculator. Finally, discussing Points for improving our primary mathematics curriculum and textbook series development are described.

• Journal of Educational Research in Mathematics
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• v.22 no.2
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• pp.293-309
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• 2012

The algorithm of natural number multiplication is one of the basic topics of elementary school mathematics. Mastery of algorithm and understanding of the principles are important educational aims. In this paper we analyzed elementary school mathematics textbooks of South Korea, the United States, Singapore, Japan. As a result of analysis, we found out that there are much differences in the teaching of multiplication with three numbers, '${\times}10$', and '${\times}tens$'. We suggested some implication for the teaching of algorithm of natural number multiplication.

• Communications of Mathematical Education
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• v.11
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• pp.145-157
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• 2001

학습자가 수학적 지식이 정말로 가치 있고 유용한 것이라는 실감을 갖게 하기 위해서는 학습자가 학습의 주체로써 능동적인 참여 기회와 환경의 제공해야 할 것이다. 그러나 지금까지의 수학 학습은 주로 교과서에 제시된 내용과 순서에만 의존하여 교사가 자신의 관점에 근거하여 학생들을 가르치기 위해 수업을 설계하고 실행하고 평가함으로 해서 이미 만들어진 수학을 전수 받아 이를 암기하고 반복 연습하는 경우가 많았다. 특히 수학학습에서 가장 기본 ${\cdot}$ 기초가 되는 알고리즘 학습의 경우 학생들이 가지고 있는 기존의 경험이나 지식에 근거하여 그들 스스로 알고리즘을 구안 ${\cdot}$ 적용해 볼 수 있는 기회를 통해 문제를 해결하는 경험이 중요하다고 보겠다. 이런 맥락에서 본고에서는 인간의 창조적 활동의 산물인 표준화된 알고리즘을 직접적으로 도입 ${\cdot}$ 적용하기에 앞서서 학습자의 수준에서 창의적으로 알고리즘을 고안 ${\cdot}$ 활용해 볼 수 있도록 하기 위해 초등학교 수학에서 알고리즘을 지도하는 방안에 대해 알아보고자 한다

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.4
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• pp.541-561
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• 2016

In this paper we discussed about the contents which were related with geometric construction in elementary school. We examined how the compass has been used in the curriculum and textbooks. Thus we found several features. And we inspected the ideas and sequences about geometric construction in Waldorf mathematics education. Finally, we suggested how to change the contents to make the relationships between elementary school and middle school better.

• School Mathematics
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• v.12 no.3
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• pp.389-410
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• 2010

In this paper we examined the mutural relation of quadrilateral for the purpose to know the reason why we taught the mutural relation of quadrilateral in elementary school. We looked through the several materials, for example, national curriculum, textbooks, guide books for teachers in 1st, 2nd, 3rd curriculums. Finally we found that the mutural relation of quadrilateral was deeply involved in the concept of sets, or the concept of inclusion.

• School Mathematics
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• v.15 no.1
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• pp.1-14
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• 2013

The purpose of this study is to examine the way of teaching the concept of pyramid in the elementary mathematics textbook and try to improve the problem. Although textbook present the general definition of pyramid as including regular pyramid, right pyramid, oblique pyramid, the textbook intentionally deal with right pyramid or regular pyramid. This intention reflect the intuition or familiarity of students. But, according to the analysis, this intention do not realized. The example of pyramid presented in the textbook do not coincide with mathematical definition and intuition of students. If we intend to deal with right pyramid in the textbook, we should treat of regular pyramid and right pyramid whose base is a rectangular in the textbook.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.4
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• pp.405-425
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• 2018

Increasing the problem solving power in school mathematics is the most important task of mathematics education. It is the ultimate goal of mathematics education to help students develop their thinking and creativity and help solve problems that arise in the real world. In this study, we investigated the contents of problem solving according to mathematics curriculum goals from the first curriculum to current curriculum in Korea. This study analyzed the problem-solving contents of the mathematics textbooks reflecting the achievement criteria of the revised curriculum in 2015. As a result, it was the first curriculum to use the terminology of problem solving in the mathematics goal of Korea's curriculum. Interest in problem solving was most actively pursued in the 6th and 7th curriculum and the 2006 revision curriculum. After that, it was neglected to be reflected in textbooks since the 2009 revision curriculum, We have identified the problems of this problem-solving instruction and suggested improvement direction.