• Communications of Mathematical Education
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• v.27 no.3
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• pp.341-356
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• 2013

This research is about storytelling in middle school geometry. This study is basic research about actualizing mathematical teaching and learning based on storytelling that is raised for reforming school mathematics education. In order to develop the mathematics textbook model, development of procedures and methods were extracted from the literature. And mathematics textbook model were developed in accordance with the process and methods. Examples are presented in terms of the development of material with 'story as a communication tool', 'familiar story as a script' 'universality of the world or simulation of life as a story', 'story as a means to foster creativity: story making'. Through the results of this study, we are also able to check the possibility of storytelling in mathematics class. And this study will be the foundation for teaching and learning using storytelling.

• Communications of Mathematical Education
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• v.27 no.3
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• pp.179-203
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• 2013

The purpose of this study was to discuss the example that developed geometry model textbook based on storytelling using real-life context. To achieve this purpose, we first elaborated the meaning of the textbook based on storytelling with real-life context, and then we discussed the outline of the story and the summary of each lesson. This study defined the storytelling textbook with real-life context as the textbook consisting of activities that explored and organized mathematical concepts by using real-life situations as materials of stories. The geometry textbook we developed employed two real-life materials, a map and a set square: we used a map for the coordinate geometry and a set square for the equation of a line. To attract students' interest, we introduced confrontation between a teacher and two students and a villain. We implemented experimentation with the textbook based on storytelling in order to verify its validity. The participants were 25 students that were enrolled in a high school in Seoul. Among them, 17 participants were surveyed. Students' answers from the survey questionnaire suggested that the geometry textbook we developed based on storytelling helped them learn mathematics and that the instruments such as a map and a set square helped them understand mathematical concepts. However, their opinion implied that the story of the textbook needed to be improved so that the story reflected more realistic contexts that were familiar with students.

• Journal of the Korean Geographical Society
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• v.50 no.5
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• pp.557-569
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• 2015

This study aims to illustrate the national images of United Kingdom, France, and Germany based on the descriptions in the Korean middle school Social Studies textbooks in comparative perspective. In order to identify and compare the national images of the three countries, the author uses a framework for analysis consisting cognitive, normative, and relational factors. The main findings are as follows. First, the most frequently shown topics and issues are democratic institutions in the case of United Kingdom, respect for human rights in the case of France, and sustainable environment in the case of Germany. Second, for all the three countries, the most frequent factor among the three is cognitive one, followed by normative and then relational factors. Third, United Kingdom is described as a country of social unrest and conflict as well as a democratic country with long history and tradition. Fourth, France is described as a country of respect/abuse of human rights, potential for high tech industry, and largest agricultural state in Europe. Fifth, Germany is described more as a country of a leading country for global environmental protection than as a country with electronic and information technology.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.3
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• pp.407-430
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• 2016

In this study, we analyzed and discussed the instruction method of multiplication tables in mathematics textbooks from four countries in Asia; South Korea, China, Japan, and Singapore. The conclusions of remarks are states as follows: First. The teaching period and elements should be subdivided more structurally so that the learner could understand the concept and principle of multiplication tables better. Second. The bundle model, the linear model, and the array model of multiplication need to be presented so that the learners could experience various situations related to multiplication. Third, The concrete explanation and the higher frequency of presenting the commutative rules of multiplication is suggested so that the learner could understand the concept of the rules well. Fourth. The context related to multiplication by 1 and 0 should be presented so that the learner could comprehend the character of multiplication by 1 and 0. Fifth. The activities which helping memorizing a multiplication table should be suggested when the memorization is needed.

• Education of Primary School Mathematics
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• v.19 no.4
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• pp.277-289
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• 2016

Fraction is one of the concepts which are difficult to elementary school students. So, many researches about fraction were performed in mathematics education research. In special, fraction has so many subordinative concepts-proper fraction, improper fraction, mixed number. We have to concentrate on the conceptual understanding in teaching of fraction. In this case, a mixed number and improper fraction are concepts which can convert respectively. And there are methods that a mixed number and improper fraction can be converted. So, it's needed to analyze the converting methods in textbooks for getting the implication of teaching in this areas. In this study, I analyzed the Korean and foreign's textbooks. I certified the methods-using addition expression, using part-whole model in the textbooks. For the conceptual understanding, I suggested to use the fusion of the various part-whole fraction models and addition expression more than the algorithm in converting between a mixed number and improper fraction. It's reason that the use of models in converting between a mixed number and improper fraction is important for the relational understanding.

• Journal of the Korean Chemical Society
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• v.56 no.6
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• pp.739-750
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• 2012

The purpose of this study is to analyze the cognitive demands level of the description about 'pure substance and mixture compound', 'ionic compound', 'molecule' on the 'science2' textbooks by the 2007 revised curriculum. The three types of Curriculum Analysis Taxonomy have been used to analyze the cognitive demands level of those contents on the 6 kinds of 'science2' textbooks. The first, the cognitive demand level about 'pure substance and mixture compound' on many textbooks is a late concrete operational stage because of class inclusion and hierarchical classification. And the descriptions as 'pure substance is conserved even when mixed with other pure substance' is a early formal operational stage. The second, the cognitive demand level about 'ionic compound' and 'molecule' is a early formal operational stage, because of "Formal modeling is the indirect interpretation of reality by deductive comparison from a postulated system with its own rules" and "Atoms have a structure". The third, the terms as 'ionic bonding', 'ionic compound', 'chemical formula', 'covalent bonding', 'covalent compound', and 'molecular formula' have been used on many 'science2' textbooks. Those terms would be used later on 'chemistry I' and 'chemistry II' in senior high school but not even 'science3' and 'science'.

• Communications of Mathematical Education
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• v.31 no.3
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• pp.241-255
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• 2017

The 4th industrial revolution is coming. In order to prepare for the new learning environment with it, we may need digital mathematics textbooks that fully utilize all possible technologies. So various attempts have been made in elementary and middle school mathematics education. However, despite the importance of higher mathematics, we haven't seen a best possible math digital textbooks yet in Korea. In this paper, we introduce our new model of interactive math digital textbook about Linear Algebra/ Calculus/ Differential Equations/ Statistics/ Engineering Math. Especially, this manuscript focuses on our experience of using digital contents and interactive labs for developing a new model for linear algebra digital textbook. We introduce our works on linear algebra digital textbooks which include pdf e-book, web contents, video clips of lectures, interactive lab. Using this linear algebra digital textbook, students can freely use any mobile devices to access diverse learning materials, lessons, and hands-on exercises without any limitations. Also, times saved in the computation, coding, and typing process can be used to have more discussions for deeper understanding of mathematical concepts. This type of linear algebra digital textbook, which contains all interactive free cyber-lab with codes and all lectures for each sections, can be considered as a new model for the next generation of math digital textbook.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.1
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• pp.71-104
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• 2016

The aim of this study is to look into the didactical background for teaching percent in elementary school mathematics and offer suggestions to improve teaching percent in the future. In order to attain these purposes, this study examined key ideas with respect to the didactical background on teaching percent through a theoretical consideration regarding various studies on percent. 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 percent in elementary schools in Korea as follows: giving much weight on percent, emphasizing the concept of percent as a ratio, underlining the various kinds of change problems, emphasizing informal strategies of students before teaching the percent formula, and utilizing various models actively.

• 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.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.