• Communications of Mathematical Education
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• v.23 no.4
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• pp.961-976
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• 2009

The purpose of this study is to revise the curriculum of mathematics, which is the basic for the engineering studies, especially for the disciplines of the electronic engineering, computer science, computer engineering, mechanical engineering, environmental engineering, civil engineering and architecture. Another goal of this research was to integrate a computer software, MATLAB into a mathematics course so that the mathematical concepts and theories in the course can be visualized to help students understand some difficult subjects and enhance their interest in mathematics.

• Journal of Educational Research in Mathematics
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• v.24 no.2
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• pp.181-204
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• 2014

This research aims to have some implications for revision of curriculum and textbooks by analysing connections between the 2009 revised national curriculum and its textbooks in elementary school mathematics. The results of analyses for 3~4 grades can be summarized in four aspects: Firstly, we noticed that the reconstructed achievement criteria were reflected properly in the textbooks except for use of calculators in 'Numbers and Operations'. Secondly, the analysis of connections between unit objectives of textbooks and the reconstructed achievement criteria suggests that 10 units must receive attention. Especially, the range of decimal numbers for adding and subtracting needs to be corrected. Thirdly, mathematical terms and symbols excluding 'unit fraction' were found in the textbooks. Finally, mathematical processes were also fully reflected in the textbooks. However 'simplifying' as a strategy for problem solving was only missing. This result shows good or poor connections between the curriculum and its textbooks, therefore it is expected to be used effectively to revise the national curriculum for mathematics and its textbooks.

• The Mathematical Education
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• v.42 no.3
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• pp.369-386
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• 2003

Problem-centered learning has many implications on teaching and learning mathematics. Students devise their solutions to solve problems and participate in the discussion with teacher and other students to share and justify their solution during the problem-centered learning. Therefore, we purposed to provide problem-centered loaming materials to be able to use in teaching and loaming the 7th mathematics curriculum in this study. First, we reviewed the 7th curriculum and its textbooks to know what and how students learn and suggested the problem-centered learning as a teaching method to perform the 7th curriculum. Next, we developed the problem-centered loaming materials for 6th grade in elementary school and taught students with these materials to amend errors. Finally, we developed evaluation criteria to evaluate students while they teamed mathematics in the problem-centered learning.

• The Mathematical Education
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• v.53 no.3
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• pp.413-434
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• 2014

Logic lays the foundation of Mathematics and the development of Mathematics is dependent on critical thinking. So it is important that school mathematics helps students develop their logical and critical thinking ability for both mathematics learning and problem solving in general. MINDSTORMS, a LEGO based programming activity kit, is an effective teaching and learning tool that can be used to enhance logical and critical thinking in students. This study focused on measuring the growth of students' ability to think logically and critically when they used MINDSTORMS activities to learn programming. In addition, we investigated how the students' logical and critical thinking changed from the MINDSTORMS learning experience. The study confirmed that the programming activities using MINDSTORMS help to enhance logical and critical thinking in students. The students attitude about logical and critical thinking became more positive and the activities helped to engage students to think logically and critically. This type of programming activities should be valuable in mathematics education and it should be included in a general mathematics curriculum.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.1
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• pp.55-69
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• 2016

The purpose of this study is to investigate statistical units of elementary school mathematics textbooks upon on the statistical problem solving process to provide useful information for qualitative improvement of developing curriculum and teaching materials. This study analyzed the statistical units from the textbooks of 1st to 6th year along the 2009 revised national curriculum. The analysis frame is based on the 4 phases of the statistical problem solving process: formulate questions, plan and collect data, present and analyze data and interpret data.

• Communications of Mathematical Education
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• v.34 no.2
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• pp.69-117
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• 2020

This article is a review report on the middle school mathematics textbooks, based on "2015 Revision of National Curriculum". Considering future textbooks, this report is to keep a record of the review. In this report, I mainly discuss the mathematical aspects (but not educational or pedagogical aspects) of the textbooks. I sincerely hope that the content of this article is to be discussed and examined further by the society of mathematics education and the society of mathematics.

• School Mathematics
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• v.4 no.2
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• pp.223-236
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• 2002

Researchers have started to conduct comparative studies of mathematics education in South and North Korea. Most of these studies have a tendency to compare with the curriculum of South and North Korea in the macroscopic standpoint. But microscopic comparative studies on each topic of school mathematics have not been attempted yet. Microscopic studies as well as macroscopic studies are required to prepare for unification the curriculum of South and North Korea. This paper attempts to compare the contents related pythagorean theorem which is dealt with in secondary school mathematics textbook of South and North Korea. Through this study, meaningful differences between textbooks are founded and some implications are obtained. Specially, 'cutting off and rearranging' method needs to be taken into consideration for active learning. Also the construction of the figure using the pythagorean theorem needs to be dealt with in order to develop the logical thinking.

• School Mathematics
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• v.2 no.1
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• pp.73-95
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• 2000

In this study, on the basis of the seventh national mathematics curriculum, the achievement standards were developed to specify the objectives and contents of teaching-learning at the first and second elementary school mathematics. The assessment standards were also developed to differentiate students’ levels of achievement with ‘high’, ‘mid’ and ‘low’ categories. Furthermore, this stuffy suggested the exemplary test items including short-answer and open-ended questions while putting emphasis on students' real performance to increase their ability in solving problems rather than in calculating. In addition to the test items, it introduced the grading system developed to grade the items with concrete guidelines and to report students' achievement on doing mathematics.

• The Mathematical Education
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• v.45 no.4 s.115
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• pp.381-406
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• 2006

This work aims to investigate mathematics teachers' knowledge and belief on the high school probability and statistics. For this aim, two research questions are estabilished as follows. (1) How is mathematics teachers' knowledge on the main contents of the high school probability and statistics in the 7th mathematics curriculum? (2) What is mathematics teachers' belief on the high school probability and statistics? Survey and interviews were carried out to answer the above research questions. Subjects of the survey were 2 7mathematics teachers who were answered to questionnaire. Among them, 3 volunteers were chosen by provinces for in-depth interview. Research findings in mathematics teacher's knowledge are as follows. Firstly, mathematics teachers do not have much of mathematical knowledge on the newly added and changed contents of the high school probability and statistics in the 7th mathematics curriculum. Secondly, mathematics teachers do not change their teaching-learning method for probability and statistics. Thirdly, many teachers think that the use of technology and reconstruction of the textbooks are required in teaching and learning of the high school probability and statistics. But, they stick on their own way. Research findings in mathematics teachers' belief are as follows. Firstly, many mathematics teachers view the nature of statistics as a branch of the applied mathematics and put the value of high school probability and statistics on the practical usefulness, Secondly, many mathematics teachers think that understanding concepts and improving problem solving ability are the best method of the teaching and learning. Thirdly, many mathematics teachers think that high school probability and statistics textbooks should cause motivations and interests in order not to give up studying probability and statistics. It is expected that the above findings can be used to change teachers' teaching and learning methods and to improve teachers training program.

• School Mathematics
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• v.15 no.4
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• pp.975-994
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• 2013

In this paper, we analyzed the utilization trend of technology in the secondary mathematics textbooks based on the 6th, 7th and 2007 revised mathematics curriculums in Korea. We analyzed 30, 60 and 90 mathematics books based on the 6th, 7th and 2007 revised mathematics curriculums respectively. The analysis focused on three aspects of using technology, i.e., contents areas in which technology used, technological tools and programs used, and methods of using technology in teaching and learning mathematics. The results shows that the frequency of using technology in mathematics books has been increased as mathematics curriculum has been revised. In the mathematics books based on th 6th curriculum, only 25 scenes were found, but in 7th and 2007 revised curriculum 248 and 355 scenes were found. In the 6th curriculum, calculators and graphing calculators were used mainly, but in the 7th and 2007 revised curriculum many kinds of technological tools and softwares were used including CAS, dynamic geometry software, spreadsheets, programming language, and the Internet. Especially the internet was used frequently in the 7th curriculum. And the methods of using technology has been diversified as time passed. In the 6th curriculum, the technology mainly used for introducing technology and simple calculation, but in the 7th and 2007 revised curriculum the technologies and software were also used for understanding mathematical laws, principles and concepts and students-centered exploring the mathematical properties.