• Journal of Educational Research in Mathematics
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• 제26권3호
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• pp.583-605
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• 2016

Problem solving has been consistently emphasized in national mathematics curricula, whereas the foci of such an emphasis have been changed. Given this background, this study traced down major changes in emphasizing problem solving from the first national mathematics curriculum to the most recent 2015 curriculum. In particular, both the 2009 and the 2015 revised curricula were analyzed in detail to figure out the latest emphasis and trends. This paper then investigated whether a series of mathematics textbooks were aligned to the emphases of recent curricula. It finally discussed some issues that we need to reconsider with regards to problems, problem solving strategies, and the process of problem solving. As such, this study is expected to provide textbook developers with detailed implications on how to employ problem solving in new series of textbooks.

• School Mathematics
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• 제18권3호
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• pp.611-623
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• 2016

This study explored the problems of definitions and choices of terms and notations and proposed a few tasks for improvement of them included , , of high school mathematics based on 2009 revised mathematics curriculum and textbooks. We explored the problems on the features of the methods and contents of definitions of terms and notations in the viewpoint of the possibilities of difficulties on students' understanding, and proposed several criteria for choices of terms and notations in curriculum. And we proposed several tasks to improve the problems as follows: we need to implement much analyses and discussions on terms and notations and to open the results, to make the criteria for the examinations of mathematics textbooks in the viewpoint of therm and notation, to consider the differences of the methods of definitions among primary, middle, and high schools, and to consider the changes of terms and notations and the methods for introduction of them in textbooks.

• Journal of Elementary Mathematics Education in Korea
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• 제21권1호
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• pp.135-160
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• 2017

Since mathematics textbooks for 6th graders based on the 2009 revised national curriculum were applied to the site, there has been a note pointing out that the unit of 'ratio and rate' causes some learning difficulties. This implies the necessity of search for desirable methods of organizing the unit of ratio and rate in mathematics textbooks. This study analyzed and compared Korean and foreign mathematics textbooks on ratio and rate longitudinally and horizontally, respectively. For longitudinal analysis, we selected the mathematics textbooks according to the national curriculum since the 5th one. For horizontal analysis, we took the mathematics textbooks of Japan, Singapore, Hong Kong, and Finland. In each textbook, the contents and the order in relation to ratio and rate, the definitions of terminology, and the methods for introducing related concepts are set as the analysis framework. The results of analysis revealed many characteristics and the differences in ways of dealing contents about ratio and rate. Based on these results, we suggested some implications for writing the unit of ratio and rate in elementary mathematics textbooks.

• School Mathematics
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• 제17권4호
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• pp.531-553
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• 2015

This study discussed a sketch map and planar figure, classical contents in math curriculum of Korea. Two problems were posed. One was the degree of difficulty and ambiguous intentions of some contents in 5th grade math textbook of 2009 revised curriculum. The other was the status of sketch maps and planar figures in more general view. We looked into elementary mathematics textbooks of former Korean national curriculums and other countries to discuss the problems. The reason why the present Korean textbook has such contents was considered, based on the result of searching former Korean and foreign textbooks. The suggestions in view of expression and building of 3D shapes were also talked.

• Education of Primary School Mathematics
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• 제12권2호
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• pp.99-115
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• 2009

One of remarkable characteristics of 2007 revised mathematics national curriculum is the emphasis of communication in classroom. It does not mean only listening students' comments. In other words, it is different from presentation of individuals' thoughts. In the paper, teaching and learning practices required teachers who want to establish classroom culture supporting harmonious communication in mathematics instruction.

• Journal of Educational Research in Mathematics
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• 제26권2호
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• pp.247-267
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• 2016

It has been pointed out that the mathematics textbooks according to 2009 revised national curriculum cause difficulty not by mathematical knowledge but concomitantly by words and sentences for the first graders who just started learning Korean alphabets. This study focused on the suitability of words and sentences in mathematics textbooks for elementary first grade. We analyzed the degree of difficulty and familiarity in terms of words and the structure, length, and expression in terms of sentences. The results show some causes that lead the first graders to the difficulty. In more detail, we found 108 difficult words and 6 unfamiliar words for the first graders. And it is noticed that the textbooks contain 37 compound sentences, 727 complex sentences, and 38 compound-complex sentences. They also contain 237 long sentences that are composed of 9 words or more, 168 sentences that assign two activities or more, and 52 sentences that contain three nouns or adjectives or more successively. Based on these results and discussions, we suggested several implications for writing mathematics textbooks for the lower grades in elementary school.

• Journal of Elementary Mathematics Education in Korea
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• 제19권4호
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• pp.527-544
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• 2015

Storytelling is one of the important features in the elementary school mathematics textbooks of the 2009 revised curriculum. In particular, the whole 'comparing objects' unit in the first grade mathematics textbook is based on storytelling method. In this study, we investigate the contents of the stories and the mathematical activities in the 'comparing objects' unit from both mathematical and character educational viewpoints. Based on our investigations, we analyze educational problems on teaching and learning mathematics as storytelling, suggest reconstructed alternative mathematical activities, and drew their educational implications.

• Research in Mathematical Education
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• 제17권2호
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• pp.119-131
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• 2013

It is the first time that there is a subject, advanced mathematics in the 2009 revised high school curriculum. Therefore it is posing a challenge to the teachers who are teaching it. At the advanced level, it is important for learners to reflect on their mental mathematical activities. This research analysed pre-service secondary teachers' reflective thinking in solving the tasks specific for the teaching and learning of polar coordinates. We report how and through what process mathematical tasks that can create disequilibrium for pre-service secondary teachers enable reflective thinking and expand preservice secondary teachers' thoughts and recognition of defining reflective thinking in looking back on one's problem solving and thinking processes.

• Journal of the Korean School Mathematics Society
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• 제20권3호
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• pp.277-302
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• 2017

Educational objectives for mathematics in the curriculum revised in 2009 and the curriculum revised in 2015 put great emphasis on practical use of math, but perception of that lacks at schools. Accordingly, this research is recognizing the need for paying attention to curriculum focusing on mathematical connectivity and is inspecting CMP curriculum which has been developed over the years to reinforce problem solving competence and improve communication skills. This study analyzes CMP textbooks published as third edition in 2014 after several revisions, focusing on equations, inequalities and functions. First, this thesis analyzes mathematical connectivity using a new analysis framework which applied the modes of representation(situations, verbal description/ tables/ graphs/ formulae) made by Janvier(1987). Second, this research analyzes connectivities between different units, various sections, other subjects and practical contents related to the real life. The results: CMP textbooks use various practical materials for specific situations. They represent twelve processes of connectivity according to the modes of representation of Janvier. The books also show relationship between equations and functions, between inequalities and functions. And CMP textbooks include other subjects and practical contents.

• School Mathematics
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• 제19권3호
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• pp.513-531
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• 2017

This study aims to analyze and compare Korean mathematics textbooks on time and to induce its educational implications. Concretely, the mathematics textbooks from the 1st to the 2009 national revised curriculum were selected for the longitudinal analysis. In each textbook, the contents such as clock reading, units of time, and calculation of elapsed time among various contents about time were chosen. The learning elements and their teaching sequence, the teaching method (the introducing ways of each concept and principle), and the didactical representations are set as an analysis framework. The results of analysis revealed many characteristics and differences in ways of dealing contents about time. Based on these results, we suggested several implications for writing the unit of time in elementary mathematics textbooks and teaching about time in classrooms.