• The Mathematical Education
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• v.48 no.3
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• pp.213-234
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• 2009

College students have a diverse educational background with the recent multiplicity in university admissions standards and procedures. As a result, their mathematical preparation and performance varies widely. Teaching calculus to such a diverse student group is a demanding task. Differentiated curriculum has been conducted for the university calculus course in Yonsei university for the past five years. A case study on the differentiated curriculum in Yonsei university is presented for the curriculum improvement. With its ideal purpose, the differentiated curriculum has created issues and problems in practice. As an alternative to the ideal differentiated curriculum, this study shows that a computer-based approach using a numerical software could give aids to overcoming the difficulty of inadequately prepared students in the learning process while mathematically sophisticated students could keep interested in the course. This study also presents the useful topics in calculus that can be implemented for computer-based calculus education and provides guidelines for the effective usage.

• The Mathematical Education
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• v.39 no.1
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• pp.1-9
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• 2000

Now, mathematics textbook is being developed in accordance with the 7th educational curriculum. It is expected that qualified textbook reflecting 'differentiated education' concept be developed and published. But there are still many limitations of textbook authorization system to develop 'such' textbook. Many authors of textbook have difficulty in developing creative and qualified textbooks in their own way. In this paper, we deal with what the authors should keep in mind and could reflect related on textbook authorization system in developing textbook. For this purpose, focusing on new 'content principle' of mathematics textbook authorization, the paper presented its educational background.

• Communications of Mathematical Education
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• v.36 no.1
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• pp.139-170
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• 2022

In relation to differentiated mathematics education, Russia has a longer experience in research and practice than Korea. The mathematics curriculum for 10-11 grades currently in use in Russia is a level-specific curriculum and consists of a basic level and an advanced level. And in Russia mathematics textbooks for 10-11 grades are also textbooks for each level. In this study, we analyzed basic level textbook and advanced level textbook written by the same author group among the textbooks 'Algebra and Introduction of Mathematical Analysis' of the 10th grade in Russia. To analyze the main learning contents and textbook descriptions that were added in advanced level the 'real numbers' and 'complex numbers' sections were studied. The main contents of basic and advanced level textbooks for 'functions', 'trigonometric functions', 'trigonometric equations', 'conversions of trigonometric expressions', and 'derivatives', which are included in both basic and advanced textbooks were compared and analyzed, and the descriptive characteristics of the definitions and theorems presented in the two levels of textbooks were also compared and analyzed. From the results of this study, it is expected that various information on the contents of various level textbooks of mathematics, the differences between textbooks for each level, and strategies for the composition of textbooks for various level can be accumulated.

• Research in Mathematical Education
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• v.1 no.1
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• pp.43-59
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• 1997

Now in Korea, the 7th curriculum reform is underway. The main difference of the seventh curriculum compared with former curricula is that it puts much emphasis on individual difference. It is a "differentiated" curriculum. The basic directions of the 7th mathematics curriculum are as follows: 1. Offer various mathematical subjects for "Selective Educational Period" (Grades 11 and 12). 2. 30% reduction of mathematical contents. 3. The reconciliation of domain names of school mathematics. 4. The use of computers and calculators in mathematics classrooms.

• Research in Mathematical Education
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• v.16 no.4
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• pp.245-263
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• 2012

The Korean mathematical curriculum has been changed three times during the resent five years. It led to changes in textbook system. In the 2007 revised mathematics curriculum, workbook was developed focusing on student's self-oriented learning, effective practice in differentiated classroom, and mathematics problem solving considering individual difference. This paper examines the characteristics of the tasks and the way the tasks are organized in the textbooks and the workbook in accordance with the 2007 revised mathematics curriculum; comparing with the function section before and after the amendment. Researchers examine whether the textbook and workbook were accomplished the purpose with "cognitive expectation", "level of cognitive demand", "and "response types". Researchers revised framework of [Son, J. W. & Senk, S. (2010). How reform curricula in the USA and Korea present multiplication and division of fraction. Educ. Stud. Math 74(2), 117-142] to make them suitable for the function section at the seventh grade.

• The Mathematical Education
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• v.44 no.1 s.108
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• pp.15-40
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• 2005

This study basically investigates the meaning and properties of performance task applicable to mathematics classroom and it finds out how to run effectively performance task activities included in the present mathematics textbooks. To accomplish this, this study deals with twelves kinds of mathematics textbooks for ninth graders and is proceeded on the basis of textbook analysis and teacher interview. Considering a situation that in future mathematics textbook would be developed, according to the analytic results of this study, common understanding of performance task and qualified performance task are needed, a variety of tasks classified by differentiated level are needed. In addition, each task should be dealt with the contents related to curious and interesting real-life situations. Furthermore, fairness of checking and recording should be established and teachers' positive attitudes to applying performance tasks to math class are needed.

• Journal of Fisheries and Marine Sciences Education
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• v.16 no.1
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• pp.21-34
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• 2004

The purpose of this study was to analyze the current implementation states of the differentiated curriculum at the middle school and to propose ways to improve it. For that purpose this study conducted a survey and had the interviews with the middle school mathematics teachers. The items of survey and interviews consisted of the two main parts: current states and needs about the special supplementary courses and enriched supplementary courses. The results showed that there were discrepancies between the current states and the needs of the differentiated curriculum. This means the efforts to improve the current states are needed. The strategies for improving the implementation of the differentiated curriculum are as follows: 1. The use of various standards including the subject-achievement level and students' or parents' opinions is needed in selecting the students of special supplementary course. 2. More relevant special supplementary materials need to be developed and utilized. 3. The ability grouping is recommended for the differentiated instruction. 4. The deliberation of developing the enriched and supplementary texts is requested. 5. The study for differentiated evaluation of students is demanded.

• Education of Primary School Mathematics
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• v.4 no.1
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• pp.31-41
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• 2000

There has been much concern and worry about executing school curriculum from the year 2000 because the seventh curriculum is based on the complicated' differentiated education' concept. Now the new textbook has been developed according to the curriculum. This paper will reinforce the understanding of the curriculum and textbook in school math. In order to do this, this paper will present questions on three subjects to help school teachers and people related to math education to probe and discuss the benefits and problems of teaching math using the new textbook. The three subjects are based on the contents included in certain chapters of the math textbook. These are 1) understanding mathematics concepts using manipulatives or concrete objects, 2) doing math projects or problem solving activities 3) learning mathematics using calculators. furthermore, it is emphasized in this paper that math teachers must keep in mind that they should execute instruction in their own way using the 'textbook' not as a bible but as a guideline.

• School Mathematics
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• v.14 no.3
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• pp.315-330
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• 2012

Mathematics educators have tried to teach mathematics to all students who are at any mathematical level by differentiated math instruction from late 1990s in Korea. The common differentiated math instruction separates students into two or three groups according to their mathematical ability and then different activities and tasks are given to each group. This kind of instruction fosters negative attitudes to mathematics to low level students and fix them at low level. So I investigated new mathematics instruction considering able students and low attainers at the same time. This new method is based on using open problems in math class. All students can respond to an open problem in different ways. If teachers could relate all varieties of answers got from students at every level to build good understanding the concept which the problem target at, low attainers could move to their potential developmental levels. This kind of instruction can change low math attainers' negative attitudes to good ones to mathematics and foster their confidence in performing mathematics.

• School Mathematics
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• v.1 no.2
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• pp.661-677
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• 1999

This paper is preliminary study for developing Web-based instruction material to practice open mathematics education in middle school using Web as educational environment. For this purpose, the (textbook-based) curriculum was analysed and then more flexible and differentiated dynamic (web-based) curriculum was suggested.