• Journal of the Korean Data and Information Science Society
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• v.27 no.2
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• pp.295-304
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• 2016

This study investigates significant factors in mathematical learning and examines the inter-grade and gender-based differences of elementary students. Five factors that are counted to affect the view of mathematical learning are (1) confidence, (2) utility, (3) aversion, (4) practical ability, and (5) traditional view of mathematical learning. The factor analyses on third graders and sixth graders each illustrate the features of inter-grade factors. The result also indicates that the factors may vary depending on the traits and circumstances of students surveyed. Third graders are more likely to be positive compared to sixth graders in terms of confidence and practical ability, which calls for implementing 'doing mathematics' and reinforcing the method of mathematical learning in the general educational field.

• Journal of Elementary Mathematics Education in Korea
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• v.24 no.3
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• pp.259-277
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• 2020

The purpose of this study was to develop and validate a scale of Korean elementary teachers' mathematics beliefs. We examined 299 elementary teachers' mathematical beliefs using 30 items, out of which 12 items covered beliefs about the nature of mathematics and 18 items covered beliefs about mathematics teaching and learning. In the first stage, we performed exploratory factor analysis using 149 survey data to examine the factor structure. In the second stage, we performed confirmatory factor analysis using 150 survey data. Building upon previous studies, we examined the construct validity of three different models to find the best factor structure. The study results indicate that the four-factor model with 14 items provides the best fit for the data: transmissive view of mathematics, constructivist view of mathematics, transmissive view of teaching and learning, and constructivist view of teaching and learning. The findings of the study reveal that each factor has adequate internal consistency and reliability. These results confirm that the beliefs scale is a reliable and valid measurement tool to measure Korean elementary teachers' mathematical beliefs. The implications of the study are discussed.

• School Mathematics
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• v.1 no.2
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• pp.605-615
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• 1999

In this paper, we explain the pedagogical phenomena appeared in the learning of 0.$\dot{9}$ = 1 in terms of its intrinsic mathematical structure, and investigate the reason why such phenomena happen. Also we analyze such phenomena through the dialogue between student and teacher, and present some instruction idea from the mathematical and educational view points.

• Education of Primary School Mathematics
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• v.2 no.1
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• pp.15-26
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• 1998

Teachers beliefs for the mathematics can have a powerful impact on how children go about learning mathematics, and theirs mathematical beliefs and abilities. In this study, \circled1 to divided teacher's mathematical beliefs into three - absolutism, progressive absolutism, constructivism - and to search into a theoretical characteristic, \circled2 to analyze and criticize the problems of the behaviorism and to investigate a point of basic view of the constructivism on mathematics education, \circled3 to suggest teacher's a role in mathematics learning be based on the constructivism perspective .

• The Mathematical Education
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• v.43 no.4
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• pp.405-417
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• 2004

This study is on the use of mathematics program for School Mathematics Education. According to the ‘technology principle’ by NCTM and teaching-learning methods by the 7th curriculum, we developed mathematics learning activities with mathematics program. This activity is to construct designs with graphs by using mathematics program(GrafEq.). In this study, we practiced these learning activities with pre-service mathematics teachers. The mathematics educational effects of these learning activities in this study are analyzed as follows; active & spontaneous search for mathematical knowledge, the experience of problem solving, affirmative view-point of mathematics, understanding of practical use of mathematics, acquisition an interest & motivation of learning mathematics etc. When students learn graphs of function, the concept of inequality in secondary school mathematics class., mathematics teachers can make a good use of constructing designs by mathematics program(GrafEq.). This will help to practice of teaching-learning methods by the 7th curriculum.

• Journal of Educational Research in Mathematics
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• v.10 no.2
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• pp.229-246
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• 2000

The purpose of this paper is to compare and analyze the two different teaching methods of elementary mathematics in the traditional method and in the constructive view. To do so, the actual class in the constructive view has been made for about four months using a class of 45 students in the second grade of an elementary school. After the class was finished, we collected diverse data from the class, such as the responses from the children(self-evaluation, mathematics diary, observation by the investigator, daily report), class evaluation report by other teacher and so on. The results of this research are as follows: First, the traditional class reaches at the goal of learning in a unit time because the class is guided by the teacher but the class in the constructive view is a little flexible because it is contextual. Second, in the constructive process of mathematical knowledge we knew that small group activities or discussion without intervention of teacher was often ended in exhaustive argument without arriving at valid social consensus. Third, the attitude in mathematics was changed from the passive one to the self-regulated ones. Fourth, the class in the constructive view could extend not only the ability of mathematical communication but also the ability of self-directed learning of children. Fifth, it was a considerable change the role of teacher, that is, guide of instruction instead of unique specialist in the classroom. Sixth, finally, the evaluation was made after finishing a unit class in the traditional instruction but it was integrated in a class in a constructive view.

• The Mathematical Education
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• v.42 no.5
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• pp.683-696
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• 2003

In this paper, we propose an authoring methodology of differentiated instruction-learning materials in mathematics course using MathML and XSLT, and give utilizing suggestions of these materials as differentiated textbook and individual learning. Incorporating MathML into instruction-learning materials, there are many advantages such that view of the materials in web browser is improved since mathematical expressions are compatible with text, and an expression can be modified in more convenient way since the expression is represented in text format not an image. In authoring of differentiated materials, the author provides one document for various levels of students. Then, each level of materials is generated from the document via XSLT transformation. This enables author-driven progress control rather than student-driven which does in previous approaches, since students don't need to select components of the material.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.15 no.3
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• pp.1015-1029
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• 2021

Modern technology offers many ways to enhance teaching and learning that in turn promote the development of tools for educational activities both inside and outside the classroom. Many educational programs using the augmented reality (AR) technology are being widely used to provide supplementary learning materials for students. This paper describes the potential and challenges of using GeoGebra AR in mathematical studies, whereby students can view 3D geometric objects for a better understanding of their structure, and verifies the feasibility of its use based on experimental results. The GeoGebra software can be used to draw geometric objects, and 3D geometric objects can be viewed using AR software or AR applications on mobile phones or computer tablets. These could provide some of the required materials for mathematical education at high schools or universities. The use of the GeoGebra application for education in Laos will be particularly discussed in this paper.

• The Mathematical Education
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• v.43 no.4
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• pp.399-404
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• 2004

Mathematical creativity is a main topic which is studied within mathematics education. Also it is important in learning school mathematics. It can be important for mathematics teachers to view mathematical creativity as an disposition toward mathematical activity that can be fostered broadly in the general classroom environment. In this article, it is discussed that creativity-enriched mathematics instruction which includes creative problem-solving and problem-posing tasks and activities can be guided more creative approaches to school mathematics via routine problems.

• The Mathematical Education
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• v.42 no.2
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• pp.121-135
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• 2003

This article retrospects the developmental process of the psychology of learning and its' influence on mathematics education. At the end of the article, brain-based learning science is introduced to examine its possibility to improve the psychology of learning mathematics. Behaviorists points of views such as Skinner, Guthrie, and Gagne were summarized to discuss the influences on the learning and teaching of mathematics. Gestalt' theories and Constructivism are also included in the discussion of developmental process of learning psychology. In elaboration of the brain-based learning science, recent research findings and the possibility of it's impact on mathematics education were discussed. Since mathematics itself is the most abstract subject it could be more challenging to identify the teaming process of mathematics compared with other areas. The possibilities of identifying the teaming process of mathematics are cautiously anticipated with a help of new paradigm.