• East Asian mathematical journal
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• v.30 no.4
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• pp.439-449
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• 2014

In the history of mathematics education, different opinions as to how to view the phenomenon of mathematics education have been suggested in various ways. As those conflicting opinions have caused fundamental tensions in the phenomenon of mathematics education, they remain fundamental standpoints that have been continuously advocated until now - not limited in a certain period. It can be argued that this situation was caused by partial or fragmentary understanding of the phenomenon of mathematics education. If we are pursuing not a partial knowledge but a complete understanding of mathematics education, how should it be formed to comprehensively study the entire phenomenon of mathematics education? To answer this question, Complex structure in phenomenon of Mathematics Education can be proposed. It is an explanation for the opposing opinions existing in the phenomenon of mathematics education. The purpose of this paper is to understand the phenomenon of mathematics education as a whole.

• East Asian mathematical journal
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• v.29 no.2
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• pp.207-239
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• 2013

This research is a study on student's understanding fundamental concepts of mathematical curriculum, especially in geometry domain. The goal of researching is to analyze student's concepts about that domain and get the mathematical teaching methods. We developed various questions of descriptive assessment. Then we set up the term, procedure of research for the understanding student's knowledge of geometric figures. And we analyze the student's understanding extent through investigating questions of descriptive assessment. In this research, we concluded that most of students are having difficulty with defining the fundamental concepts of mathematics, especially in geometry. Almost all the students defined the fundamental conceptions of mathematics obscurely and sometimes even missed indispensable properties. And they can't distinguish between concept definition and concept image. Prior to this study, we couldn't identify this problem. Here are some suggestions. First, take time to reflect on your previous mathematics method. And then compile some well-selected questions of descriptive assessment that tell us more about student's understanding in geometric concepts.

• Journal of Educational Research in Mathematics
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• v.8 no.2
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• pp.425-437
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• 1998

The difference between "open" mathematics education and education of "open mathematics" arises from the difference of tearcher's understanding on the meaning of "teaching and learning mathematics" in the paper. Discusses the agreements and the worries of the researchers, the teachers, the students in korea, about open educationism, firstly, Three practical cases in mathematics lesson in korea are reviewed and analyzed in the respect of learning principles, secondly. Thirdly, the paper examines how to be modified two main learning principles, individualised learning and self-regulation of learning by teachers in the process of instruction. Finally, open mathematics advocated by Fisher(1984) and closed mathematics are compared especially in the probability unit. It concludes that the open approaches in mathematics lessons in korea need to improve with respect to teacher's attitude for didactic contents or mathematical knowledge. It is argued that teacher's open or flexible understanding of mathematical knowledge is no less important than that of their pupils.ant than that of their pupils.

• The Mathematical Education
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• v.39 no.1
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• pp.49-58
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• 2000

The purpose of this study is to investigate how to teach algorithms in mathematics class. Until recently, traditional school mathematics was primarily treated as drill and practice or memorizing of algorithmic skills. In an attempt to shift the focus and energies of mathematics teachers toward problem solving, conceptual understanding and the development of number sense, the recent reform recommendations do-emphasize algorithmic skills, in particular, paper-pencil algorithms. But the development of algorithmic thinking provides the foundation for student's mathematical power and confidence in their ability to do mathematics. Hence, for learning algorithms meaningfully, they should be taught with problem solving and conceptual understanding.

• Journal of the Korean School Mathematics Society
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• v.6 no.1
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• pp.135-161
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• 2003

This research is how students and teacher apprehend mathematics education, pointing out problem areas as a basis on how to improve students understanding of mathematics through improved guidance by teachers in the future. 1107 high school students and 105 teachers from around Daejeon and Choongnam province were surveyed and the results were as follows. 1. 77 %( 852) of students viewed the "application of problem solving methods" as understanding mathematic problems. 2. Replies to the question on understanding the study of mathematics resulted in 85.7% of teachers saying "it is the understanding of the basic concept to which you solve the problems" 3. For questions relating to the large difference in-class mathematics achievements and mock University entrance exam achievements, students' response that "for in-class tests you only have to learn problems with similar form but the mock tests are not like that" pointed out the problem in the area of mathematics education. 4. For future mathematic education teachers will have to "explain better and more completely the basic principles and concepts before solving problems" , and make an effort to stimulate students by "creating a more fun atmosphere" . There will also be the need to prevent as much as possible, the use of "formula or memory driven problems" and encourage students to initiate problem solving for themselves.; and encourage students to initiate problem solving for themselves.

• The Mathematical Education
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• v.40 no.2
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• pp.241-252
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• 2001

Many high school students are having difficulties for studying advanced mathematics concepts. It is more complicated than in junior high school and they are losing interest and confidence. In this paper, advanced mathematics concepts are not just basic concepts such as natural numbers, fractions or figures that can be learned through life experience but concepts that are including variables, functions, sets, tangents and limits are more abstract and formal. For the students to understand these ideas is too heavy a burden and so many of the students concentrate their efforts on just memorizing and not understanding. It is necessary to search for a meaningful method of teaching for advanced mathematics that covers deductive methods and symbols. High school teachers are always asking themselves the following question, “How do we help the students to understand the concept clearly and instruct it in a meaningful way?” As a solution we propose the followings : I. To ensure they have the right understanding of concept image involved in the concept definition. II. Put emphasis on the process of making mental representations and the role of intuition. III. To instruct students and understand them as having many chance of the instructional conversation. In conclusion, we studied the meaningful method of teaching with the theory of Ausubel related to the above proposed methods. To understand advanced mathematics concepts correctly, the mutual understanding of both teachers and students is necessary.

• Education of Primary School Mathematics
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• v.6 no.1
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• pp.29-40
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• 2002

Fairy-tales give students opportunities to build connections between a problem-solving situation and mathematics as well as to communicate solutions through writing, symbols, and diagrams. Therefore, the purpose of this paper is to introduce how to use fairy-tales in elementary mathematics classroom in order to develope student's mathematical concepts and process in terms of the following areas: ⑴ reconstructing literature ⑵ understanding concepts ⑶ problem posing activity. To be useful, mathematics should be taught in contexts that are meaningful and relevant to learners. Therefore using fairy-tales as a vehicle to teach mathematics gives students a chance to develope mathematics understanding in a natural, meaningful way, and to enhance problem posing and problem solving ability. Further, future study will continue to foster how fairy-tales literatures will enhance children's mathematics knowledge and influence on their mathematics performance.

• The Mathematical Education
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• v.49 no.1
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• pp.15-37
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• 2010

In this study, we investigated the application of oriental history of mathematics in school mathematics teaching. We set up three study problems to achieve this purpose. First, we analyze the middle and high school mathematics textbooks and auxiliary books. Second, we survey the mathematics teacher's knowledge and degree of application on history of mathematics. Third, we develop the teaching and learning materials on oriental history of mathematics. We performed three study-methods to settle above study problem. First, we analyzed 24 textbooks and auxiliary books for study problem 1. There were 6 middle school mathematics textbooks and 6 auxiliary books and also 6 high school mathematics textbooks and 6 auxiliary books. We categorized the contents into "anecdote", "systematization", "application of problem", "expansibility of thought", and "comparative of the contents". Second, we surveyed the 78 mathematics teachers's knowledge and degree of application using questionnaire about knowledge and application on history of mathematics. The questionnaire was made up of four types of question; the effect of material about history of mathematics, the understanding of western history of mathematics, the understanding of oriental history of mathematics; the direction of development of teaching material. Third, we exemplified the teaching and learning materials about three categories: "anecdote", "comparative of the contents".

• Journal of Educational Research in Mathematics
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• v.25 no.3
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• pp.347-366
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• 2015

There are a lot of causes of under-achievement in elementary mathematics, one of which may be lack of previous learning elements. We focus on the understanding of place value. The purpose of this study is to analyze underachievers' levels of understanding of place value concepts and to find the types of place value tasks that they have had special difficulty. For this purpose, an individual test called as "the Six Tasks of Place Value(SToPV)"was applied to ten third grade mathematics underachievers in elementary school. The test is a type of place value concept tests and requires one-on-one interview with some preparation materials. The participants' reactions were analysed according to the framework by Berman(2011). The result of analysis shows that third grade mathematics underachievers tend to have a great difficulty understanding the place value concepts. Also the types of difficult tasks were various from individual to individual. Based on the test results and discussion, we suggested some implications for diagnosing place value concepts of mathematics underachievers.

• Education of Primary School Mathematics
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• v.27 no.1
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• pp.19-38
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• 2024

This study aims to analyze the characteristics of students' understanding of artificial intelligence and mathematical concepts by developing and applying an artificial intelligence education program for mathematics convergence using robots. To this end, we analyzed the content standards of elementary artificial intelligence education to extract conceptual elements of artificial intelligence and identified mathematics achievement standards that can effectively integrate them. In particular, a five-session (15 classes in total) program was developed by selecting the units 'angle' and 'quadrilateral' suitable for utilizing the robot's movement and reorganizing the lesson to integrate the mathematics achievement standard with the artificial intelligence content elements. As a result of applying this to 22 fourth grade elementary school students over five months and analyzing the students' understanding revealed by topic of artificial intelligence content, the artificial intelligence education program for mathematics convergence using robots was helpful in students' understanding artificial intelligence principles and mathematical concepts. In addition, the use of robots was confirmed to improve students' understanding of artificial intelligence and mathematics as well as their participation in class by making them visually check a series of performing procedures.