• The Mathematical Education
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• v.58 no.1
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• pp.55-77
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• 2019

Textbooks play a very important role as a medium for implementing curriculum in the school. This study aims to analyze tasks for mathematical competencies in the high school 'mathematics' textbooks based on the 2015 revised mathematics curriculum emphasizing competencies. And our study is based on the following two research question. 1. What is the relationship between core competencies and mathematical competencies? 2. What is the distribution of competencies of tasks for mathematical competencies presented in the textbooks? 3. How does the tasks for mathematical competencies reflect the meaning of the mathematical competencies? For this study, the tasks, marked mathematical competencies, were analyzed by elements of each mathematical competencies based on those concept proposed by basic research for the development of the latest mathematics curriculum. The implications of the study are as follows. First, it is necessary to make efforts to strengthen the connection with core competencies while making the most of characteristics of subject(mathematics). Second, it needs to refine the textbook authorization standards, and it should be utilized as an opportunity to improve the textbook. Third, in order to realize competencies-centered education in the school, there should be development of teaching and learning materials that can be used directly.

• School Mathematics
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• v.15 no.4
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• pp.759-783
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• 2013

Both curriculum and textbooks play an important role in the process of didactical transposition from mathematics as a science to school mathematics. The 2009 revised national curriculum for mathematics introduced the system of grade-band, so its achievement criteria for mathematical contents tend to be addressed more and less generally in the curriculum. We need to investigate whether the achievement criteria were applied meaningfully in elementary textbooks for mathematics. This study aims to recognize the connection between the curriculum and the textbooks and make a suggestion for composing the following curriculum and its textbooks. To do this, we analyzed the mathematics textbooks for 1~2 grades in relation to the mathematical contents as per reconstructed one of curriculum achievement criteria, the mathematical terms and symbols, and the mathematical processes -mathematical problem solving, mathematical reasoning, mathematical communication. Based this analysis, futhermore, this study includes some didactical discussions and implications for development of mathematics textbooks in 3~4 and 5~6 grade-bands.

• East Asian mathematical journal
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• v.40 no.2
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• pp.267-286
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• 2024

This study investigates the perceptions toward prospective elementary teachers regarding the revised 2015 elementary mathematics curriculum. The aim is to understand the importance and implementation of the revised curriculum and provide implications for curriculum improvement in elementary teacher education institutions, using Interpretative Phenomenological Analysis (IPA). The research findings are as follows: Firstly, prospective elementary teachers perceived that the areas of the revised 2015 elementary mathematics curriculum that require particular focus are number and operations and data and probability. Secondly, they identified the specific elements within these areas that demand dedicated attention as follows: numbers up to four digits in number and operations, mixed calculations with natural numbers, shapes of solid figures, spatial sense of solid figures, comparison of quantities in measurement, etc. These findings can inform the improvement of the curriculum in elementary teacher education institutions.

• Communications of Mathematical Education
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• v.20 no.4 s.28
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• pp.503-521
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• 2006

'Calculus for Life Science' is one of the calculus courses for students majoring life science in Seoul National University. Contrary to the other calculus courses for students in natural sciences and engineerings, in 'Calculus for life Science' we have primarily chosen computer-based curriculum that is useful to life science and so we have tried to fulfill the requirements of the students majoring life science. Like this, we are of the opinion that there are diverse requirements in life science as well as other majors in basic mathematical education of the university. Upon this view, in this research, we consider the present conditions, the points at issue and study improvements of them. In section II and III, we introduce briefly the present 'Calculus for Life Science' focused on the curriculum. In section IV, according to the course evaluations and questionnaire, we make an analysis of the present condition and the points at issue of 'Calculus for Life Science'. In section V and VI, we present the improvements of the curriculum and the several education environments.

• Communications of Mathematical Education
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• v.31 no.2
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• pp.203-221
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• 2017

The purpose of this study is to suggest didactical principles for using mathematical teaching aids and to applicate didactical principles in a relation with curriculum. First, we meta-analyzed related literature to suggest didactical principles for using mathematical teaching aids. And we suggested didactical principles as follows: principle of activities, principle of instruments, principle of learning. Using mathematical teaching aids with didactical principles in mind would help avoiding situations in which mathematical teaching aids are only used as interesting tools. Second, we concretized the meaning to applicate didactical principles and use mathematical teaching aids in a relation with curriculum. We considered domain, key concept, function, achievement standard, which were presented in the curriculum of mathematics, and suggested concrete activities. Third, we produced two designs for lessons on incenter and circumcenter of triangle and linear function's graph using mathematical teaching aids.

• Research in Mathematical Education
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• v.19 no.1
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• pp.19-41
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• 2015

Previous studies indicated that students tended to hold less satisfactory beliefs about the discipline of mathematics, beliefs about themselves as learners of mathematics, and beliefs about mathematics teaching and learning. However, only a few studies had developed curricular interventions to change students' beliefs. This study aimed to examine the effect of a problem-solving curriculum (i.e., Mathematical Problem Solving for Everyone, MProSE) on Singaporean Grade 7 students' beliefs about mathematical problem solving (MPS). Four classes (n =142) were engaged in ten lessons with each comprising four stages: understand the problem, devise a plan, carry out the plan, and look back. Heuristics and metacognitive control were emphasized during students' problem solving activities. Results indicated that the MProSE curriculum enabled some students to develop more satisfactory beliefs about MPS. Further path analysis showed that students' attitudes towards the MProSE curriculum are important predictors for their beliefs.

• School Mathematics
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• v.17 no.1
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• pp.1-18
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• 2015

The mathematical processes are strongly emphasized in 2009 revised national curriculum for mathematics and are expected to be complemented and extended in 2015 revised one. This study aims to investigate how much the processes are being implemented in mathematics classroom and select some elements which need complementation. To do this, we selected the mathematical practices of CCSSM as a reference, because it plays the corresponding role in the United States to the mathematical processes in Korea. We recognized common elements and different elements between the two and analyzed. Considering those, we searched the possibility of newer mathematical process and analyzed the 4th grade mathematics textbooks in relation to questions for mathematical practices. We provided the results of analyses and several suggestions for revising mathematics curriculum and textbooks.

• Journal of Educational Research in Mathematics
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• v.25 no.2
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• pp.207-223
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• 2015

This study aims to find ways for securing continuity of elementary mathematics curriculum and kindergarten curriculum. To do this, we considered the status of 'mathematical exploration' in Nuri curriculum and analysed the correspondence of content-domains and the continuity between Nuri curriculum for ages three to five and 2009 revised national elementary mathematics curriculum, based on the reconstructed achievement criteria. The result of these analyses reveals that the classification of five content-domains both for 'mathematical exploration' of Nuri curriculum and for 2009 revised national elementary mathematics curriculum coincides. We also recognized the reconstructed achievement criteria which are considered as reverse continuity or as discontinuity of Nuri curriculum and 2009 revised national elementary mathematics curriculum in all the five content domains. The former means being lower in levels or reduction in ranges from Nuri curriculum to elementary one. The latter means that some reconstructed achievement criteria are included in only one of the two curriculum. Based on these results, we suggested several ways to secure the continuity between Nuri curriculum and 2009 revised national elementary mathematics curriculum in the perspective of mathematics education.

• The Mathematical Education
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• v.44 no.4 s.111
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• pp.497-508
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• 2005

The investigation of the curriculum in other countries provides meaningful implications to reflect our own curriculum. Since Korea is now under the curriculum revision, international comparative research was conducted with the curricula of Singapore and India to elicit some implications. These two countries were especially chosen because their curricula have not been actively investigated yet. Singapore mathematics curriculum starts the tracking based on students' mathematical ability from the 4th grade, and provides different curricula for the three tracks. This differentiated curriculum provides rich implications to next Korean curriculum which aims to classify the contents based on students' mathematical achievements. Indians, who have contributed significantly in the history of mathematics, have unique mathematics curriculum, remote from so called 'canonical curriculum'. After the U.S. announced the Curriculum and Evaluation Standard for School Mathematics in 1989 and the Principles and Standards for School Mathematics in 2000, many countries benchmarked these NCTM documents, and Korea was no exception. Since each country has their own school system, educational environment, and national mentality, it is not desirable to just adopt the curriculum of other countries. In this regard, Indians who have preserved their own mathematics curriculum can be a model. In sum, when we revise the curriculum, it is required to keep the balance between the open-mindedness to accept the strengths of other curricula, and the conservative attitude to preserve our own characteristics of the curriculum.

• The Mathematical Education
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• v.54 no.1
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• pp.65-81
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• 2015

The purpose of this study is to investigate the international trends of how the core competencies are reflected in mathematics curriculum, and to find the implications for the revision of Korean mathematics curriculum. For this purpose, the curriculum of the 9 countries including the U.S., Canada(Ontario), England, Australia, Poland, Singapore, China, Taiwan, and Hong Kong were thoroughly reviewed. It was found that a variety of core competencies were reflected in mathematics curricula in the 9 countries such as problem solving, reasoning, communication, mathematical knowledge and skills, selection and use of tools, critical thinking, connection, modelling, application of strategies, mathematical thinking, representation, creativity, utilization of information, and reflection etc. Especially the four most common core competencies (problem solving, reasoning, communication, and creativity) were further analyzed to identify their sub components. Consequently, it was recommended that new mathematics curriculum should consider reflecting various core competencies beyond problem solving, reasoning, and communication, and these core competencies are supposed to combine with mathematics contents to increase their feasibility. Finally considering the fact that software education is getting greater attention in the new curriculum, it is necessary to incorporate computational thinking into mathematics curriculum.