• East Asian mathematical journal
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• v.38 no.4
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• pp.463-496
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• 2022

The purpose of this study is to analyze the mathematical creativity and computational thinking of mathematically gifted elementary students through a convergence class using programming and to identify what it means to provide the convergence class using Python for the mathematical creativity and computational thinking of mathematically gifted elementary students. To this end, the content of the nine sessions of the Python-applied convergence programs were developed, exploratory and heuristic case study was conducted to observe and analyze the mathematical creativity and computational thinking of mathematically gifted elementary students. The subject of this study was a single group of sixteen students from the mathematics and science gifted class, and the content of the nine sessions of the Python convergence class was recorded on their tablets. Additional data was collected through audio recording, observation. In fact, in order to solve a given problem creatively, students not only naturally organized and formalized existing mathematical concepts, mathematical symbols, and programming instructions, but also showed divergent thinking to solve problems flexibly from various perspectives. In addition, students experienced abstraction, iterative thinking, and critical thinking through activities to remove unnecessary elements, extract key elements, analyze mathematical concepts, and decompose problems into small components, and math gifted students showed a sense of achievement and challenge.

• The Pure and Applied Mathematics
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• v.19 no.1
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• pp.37-42
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• 2012

We give an elementary proof of Descartes' theorem for polyhedra. Since Descartes' theorem is equivalent to Euler's theorem for polyhedra, this also gives an elementary proof of Euler's theorem.

• The Mathematical Education
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• v.48 no.1
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• pp.21-32
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• 2009

The purpose of this study is to diagnose the current states and the problems of student assessment of Elementary School Mathematics. For that purpose, this study conducted a survey and had the individual interviews. The surrey items consisted of the six main parts: questions about the development of assessment tools, the method to assess, the grading, the special supplementary courses, the opening of learning effect, and the follow-up guidances. The results of this study are as the follow First, elementary teachers depended heavily on internet sites for developing assessment problems. Second, elementary teachers made use of a performance assessment, a unit assessment, and a term examination at ordinary times. Third, unit assessment was largely referred for grading by elementary teachers. Fourth, in selecting the students for the special supplementary courses, both criterion-referenced assessment and norm-referenced assessment were considered. After finishing the special supplementary courses, additional tests were usually taken. Fifth, elementary teachers took a negative attitude in opening of learning effect. specialty opening of test paper to parents of students was done under 30%. Sixth, fellow-up guidances were the most through the classroom guidances. but consulting with parents of students was not frequently conducted by teachers.

• Communications of Mathematical Education
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• v.24 no.3
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• pp.807-830
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• 2010

The purpose of this study is to analyze the strength and weakness of intelligences appeared by the profile of multiple intelligences of the mathematical gifted children and their parents. The subjects of this study were 73 students and 73 their parents from D-Education Center for Gifted Children. Their multiple intelligences were measured by a self-scaling test of Korean-Multiple Intelligence Development Assessment Scale, at July in 2009. The conclusions of this study are as follows: The strengths of multiple intelligences of the gifted children in mathematics are logical-mathematical intelligence, intrapersonal intelligence. And, the weakness of multiple intelligences of the gifted in elementary mathematics is bodily-kinesthetic intelligence. This result is similarly in their parents' self-scaling test of KMIDAS. Therefore, formal educational curriculum of the gifted in elementary mathematics is required which can stimulate all kinds of intelligences.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.4
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• pp.383-403
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• 2019

The purpose of this study was to examine how students' perception of their mathematics teachers' instructional practices is associated with students' attitude toward mathematics, taking into account their self-efficacy in mathematics. The sample contained 4669 Korean fourth graders who participated in Trends in International Mathematics Science Study 2015. We used exploratory factor analysis and confirmatory factor analysis to explore the factor structure of three latent variables and conducted structural equation modeling to examine the hypothesized model. The results revealed that when students positively perceived their teachers' instructional practices, they tended to have a positive attitude toward mathematics. We also found that students' self-efficacy beliefs in mathematics positively mediated the relationship between perceived teachers' instructional practices and personal attitude toward mathematics. We discuss the practical and methodological implications of these findings and offer directions for future studies.

• The Mathematical Education
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• v.45 no.4 s.115
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• pp.459-479
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• 2006

There has been an increasing concern of whether a real instructional change happens in a way to promote students' mathematical development. Against this background, this paper dealt with successes and difficulties an elementary school teacher went through as she moved on to student-centered instruction. The analysis drew on classroom observations for one year to illustrate how the teacher and students established social norms, sociomathematical norms, and classroom mathematical practices that could emphasize mathematical sense-making and justification of ideas. Close analysis showed many gradual but dramatic changes in terms of mathematics classroom culture. This led to consider possibly subtle but crucial issues with regard to implementing student-centered instruction.

• Research in Mathematical Education
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• v.6 no.1
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• pp.39-51
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• 2002

This study described an elementary teacher's practical knowledge of selecting and using mathematical tasks for promoting students' understanding and discourse. The informant of this ethnographic inquiry was a third grade teacher and has 10 years of teaching experience. According to the analysis of multiple data sources, this study showed that based on his beliefs about the development of understanding of mathematics and discourse, he continually employed two different types of tasks: open-ended tasks and tasks from students' mistakes and comments during discourse. Teachers' practical knowledge of teaching mathematics and the classroom norms for students' understanding and discourse are suggested to be given attention for further research on this area.

• Education of Primary School Mathematics
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• v.8 no.1
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• pp.1-11
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• 2004

Whole number concept is an important part of mathematics learning. Elementary school students should understand and master whole number concept. Models can help students learn whole number concepts. Realistic Mathematics Education in Netherlands had investigated and developed three different structural models: line model, group model, combination model. These models are related whole number concepts and structures closely and compatible. The purpose of this study is to investigate models related with whole numbers in 7th elementary textbooks. As a result of analyses, we found out some pattern and several problems. On the foundation of the analyses, we discussed the better ways of using models in teaching whole number and the research issues concerning these.

• Research in Mathematical Education
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• v.12 no.3
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• pp.215-233
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• 2008

Deep comprehension of basic mathematical notions and concepts is a basic condition of a successful teaching. Some elements of algebraic thinking belong to the elementary school mathematics. The question "What stays the same and what changes?" link arithmetic problems with algebraic conception of variable. We have studied beliefs and comprehensions of future elementary school mathematics teachers on early algebra. Pre-service teachers from three academic pedagogical colleges deal with mathematical problems from the pre-algebra point of view, with the emphasis on changes and invariants. The idea is that the intensive use of non-formal algebra may help learners to construct a better understanding of fundamental ideas of arithmetic on the strong basis of algebraic thinking. In this article the study concerning arithmetic series is described. Considerable number of pre-service teachers moved from formulas to deep comprehension of the subject. Additionally, there are indications of ability to apply the conception of change and invariance in other mathematical and didactical contexts.

• East Asian mathematical journal
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• v.38 no.4
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• pp.379-396
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• 2022

In this paper, we investigate distribution strategies in the Egyptian fraction, and through this, we examine the distribution strategies of (fraction)÷(fraction) and then provide some educational implications. The (natural number)÷(natural number) of the sharing situation has the meaning of 'share' per unit, which can be seen as a situation where the unit ratio is determined. These concepts can also naturally be extended to the case of (fraction)÷(fraction) by some problem posing situations. That is to say, the case of (fraction)÷(fraction) can be deduced the case (natural number)÷(natural number) by the re-statement of the problem.