• Journal of Educational Research in Mathematics
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• v.23 no.2
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• pp.117-133
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• 2013

Mathematical misconception is one of the big obstacles of the underachieving students to learn mathematics correctly. This study aims to develop the instruction materials for secondary school students who are underachieving in mathematics to reduce the occurrence of the misconception and to help them to build the correct concept in the mathematical learning. Before developing the material, we tried to collect the misconception cases occurring in common mathematics lesson. This materials tries to provide key educational contents for mathematics teachers who is responsible for teaching underachieving student and help them to creative interesting ideas for lessons. The materials could be used not only as an teaching materials for underachieving students or students with the misconceptions, but also could be used as training materials for mathematics teachers.

• Journal of The Korean Association of Information Education
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• v.7 no.1
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• pp.11-26
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• 2003

Although many mathematical teaching/learning materials are already developed in the web, diverse utilization of this materials such as calculation, searching, or reusing of expressions are limited since the expression is actually a figure. To cope with this, MathML which describing mathematical notation was developed. In the paper, we proposed the methods of developing teaching materials using MathML, making learning assistance tools which utilize MathML, and applying MathML to information exchange community for Mathematics courses in ICT environment. Using MathML to develop a teaching material makes easy to correct and reuse the mathematical notations conveniently. Furthermore, learning assistance tools made by placing MathML help teachers reorganize and utilize these materials in the classroom as well as enhancing the connection between mathematical notations and concepts. The web-board that can make a use the mathematical notations using MathML enables the teachers and students to exchange information actively. It also helps to fulfill different types of teaching using ICT such as "discussion on the web".

• Communications of Mathematical Education
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• v.27 no.4
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• pp.567-580
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• 2013

As integrated essay writing is performed in university entrance examinations, teachers and students recognize the importance of integrated essay, but teachers have still difficulties of teaching methods. The purpose of this study is to derive educational implications through case of mathematics instruction for integrated essay education to pre-service mathematics teachers. The content knowledge of this class is a definition of conic section in mathematics and properties of conic section in an antenna reflector. The students have to discover them using the history of math, manipulative material, paper-folding and computer simulation. In this teaching and learning process the students can realize mathematical knowledge invented by humans through history of mathematics. The students can evaluate the validity of that as create and justify a mathematical proposition. Also, the students can explain the relation between them logically and descript cause or basis convincingly in the process of justifying. We should keep our study to instructional materials and teaching methods in integrated essay education.

• School Mathematics
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• v.12 no.4
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• pp.619-638
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• 2010

In this paper, we listed and reviewed some properties on polygonal numbers, pyramidal numbers and Pascal's triangle, and Fibonacci sequence. We discussed that the properties of gnomonic numbers, polygonal numbers and pyramidal numbers are explained integratively by introducing the generalized k-dimensional pyramidal numbers. And we also discussed that the properties of those numbers and relationships among generalized k-dimensional pyramidal numbers, Pascal's triangle and Fibonacci sequence are suitable for teaching and learning of mathematical reasoning and connections.

• 제어로봇시스템학회:학술대회논문집
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• 2005.06a
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• pp.1851-1852
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• 2005

We have created in our university material management environment, which uses database created by using LATEX-files, and LATEX2HTML translator and PHP language. In this paper we will define how these LATEX-files are transformed into our database. In this paper, we present work which we have done for providing the material used in the teaching of calculus to students at Lappeenranta University of Technology. This procedure can be divided into three separate steps: 1) creation of the LATEX-files, 2) implementation of these LATEX-files in 3) conversion of the base LATEX-files to the HTML-files. So far, we have stored hundreds of exercises with hints and solutions on our web server in addition to some theory that we felt is necessary for the students. In this paper we will also discuss the benefits and future of our functioning Web-environment [1].

• The Journal of Korean Association of Computer Education
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• v.21 no.5
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• pp.11-23
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• 2018

In order to cultivate human resources to live in the 4th industrial revolution era, software (SW) education became mandatory in the 2015 revised curriculum. Furthermore the science mathematics informatics education promotion law was enacted to emphasize the importance of software convergence education. Therefore, it is necessary to study how to converge and educate mathematics and science with software education to solve problems in real life and various disciplines. This study is to find the directions and effectiveness of software convergence education through content analysis of the software mathematics science convergence teaching and learning materials, which are recently developed and distributed by the Ministry of Education et al. The results of this research are expected to suggest implications to future researches about software, mathematics and science convergence education.

• Communications of Mathematical Education
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• v.24 no.3
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• pp.691-708
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• 2010

The purpose of this study is to analyze 'datum' of 'The Data' in the textbooks of middle school on the basis of 'The Data of Euclid' and develop datum. For this, the followings are conducted. First, the distinctive structure of datum of 'The Data' is considered. Second, some learning materials the contents of geometry in the textbooks of middle school are analyzed and the mathematical meanings are explored. Third, the applicable datum to geometry education of middle school are developed and the way of educational use is studied. The hopefully, the result of this study will make school mathematics education more plentiful and give meaningful implications to revision of mathematics education curriculum and the improvement of teaching and learning.

• School Mathematics
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• v.7 no.2
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• pp.139-168
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• 2005

The purpose of this study is to investigate children's informal knowledge of the fractional multiplication and to develop a teaching material connecting the informal and the formal knowledge. Six lessons of the pre-teaching material are developed based on literature reviews and administered to the 7 students of the 4th grade in an elementary school. It is shown in these teaching experiments that children's informal knowledge of the fractional multiplication are the direct modeling of using diagram, mathematical thought by informal language, and the representation with operational expression. Further, teaching and learning methods of formalizing children's informal knowledge are obtained as follows. First, the informal knowledge of the repeated sum of the same numbers might be used in (fractional number)$\times$((natural number) and the repeated sum could be expressed simply as in the multiplication of the natural numbers. Second, the semantic meaning of multiplication operator should be understood in (natural number)$\times$((fractional number). Third, the repartitioned units by multiplier have to be recognized as a new units in (unit fractional number)$\times$((unit fractional number). Fourth, the partitioned units should be reconceptualized and the case of disjoint between the denominator in multiplier and the numerator in multiplicand have to be formalized first in (proper fractional number)$\times$(proper fractional number). The above teaching and learning methods are melted in the teaching meterial which is made with corrections and revisions of the pre-teaching meterial.

• Journal for History of Mathematics
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• v.22 no.3
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• pp.153-170
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• 2009

Zoltan, P. Dienes is a famous researcher and practitioner who has tried to teach mathematical structures to children for about 50 years. Even though his ideas of teaching mathematics and materials including MAB have been well known in Korea, they are only a part of his achievement he has developed for his whole life. So this article is designed for taking an overview of his whole life and achievement and getting some implications for today's mathematics education. In this article, his life story could be divided by five periods in terms of a scholastic career and his research achievement could be reorganized with respect to five theses: psychology of learning mathematics, mathematical curriculum, teacher education, games and material for mathematical learning. As a result, it is found that there is a deep connection between his personal life and his scholastic career.

• Journal of the Korean School Mathematics Society
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• v.15 no.1
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• pp.183-197
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• 2012

Geometry having long history of mathematics have important role for thinking power and creativity progress in middle school. The regular polygon included in plane geometry was mainly taught convex regular polygon in elementary school and middle school. In this study, we investigated the denotation's extension of regular polygon by mathematical basic knowledge included in school curriculum. For this research, first, school mathematical knowledge about regular polygon was analyzed. And then, basic direction of research was established for inquiry. Second, based on this analysis inductive inquiry activity was performed with research using geometry software(Cabri Geometry II). Through this study the development of enriched learning material and showing the direction of geometry research is expected.