• School Mathematics
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• v.17 no.2
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• pp.289-308
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• 2015

This study analyzed mathematical processes elaborated in the mathematics curricula of Korea, China, Japan, and the US. Ten mathematical processes were extracted: (a) learning of concepts, principles, laws, and skills; (b) problem solving; (c) reasoning; (d) communication; (e) representation; (f) connections; (g) creativity; (h) character-building; (i) self-directed learning; and (j) positive attitude toward mathematics. This study specified the meaning of such processes and their sub-domains, noticing similarities and differences among the curricula. On the basis of the results, this study includes suggestions for the development of next mathematics curriculum in Korea.

• Journal of the Korean School Mathematics Society
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• v.17 no.1
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• pp.123-137
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• 2014

In this paper, the format of the Korean 2011 & the Japan 2008 elementary school mathematics curriculum are compared especially centered on elements, areas, objectives, and lesson time numbers. Through this comparison, suggestions can be obtained as follows. First, grade-group system which does not meet the actual elementary mathematics education needs to be reconsidered. Second, the area name 'number and operation' needs to be reduced into the area name 'number and calculation'. Third, using the area name 'pattern' needs to be reconsidered. Fourth, using the area name 'probability' needs to be reconsidered. If 'possibility' which some event occurs is seen as ratio, it can be contained area 'quantity relationship'. Fifth, containing the nature of mathematics into the school mathematics objectives needs to be reconsidered. Sixth, it is necessary to enhance the phase of mathematics in elementary education.

• Communications of Mathematical Education
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• v.29 no.3
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• pp.491-511
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• 2015

This study analyzed the perception of prospective elementary school teachers in relation to using the history of Korean mathematics. The results of this study showed that the pre-service teachers realized using the history of Korean mathematics more importantly than the history of mathematics. They thought that the contents of the history of Korean mathematics should be increased in mathematics education and pre-service teacher education. The participation experience in teacher education about the history of Korean mathematics had a positive effect on the perception of pre-service teachers. Finally, this paper asserted that teacher education is the key to the teacher perception on and using of the history of Korean mathematics.

• Journal of Educational Research in Mathematics
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• v.21 no.2
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• pp.105-120
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• 2011

This research intends to analyse how mathematically gifted 8th graders (age 14) discover and proof the properties on the sum of face angles of polyhedron. In this research, the problems on the sum of face angles of polyhedrons were given to 36 gifted students, and their discovery and proof processes were analysed on the basis of their the activity sheets and the researcher's observation. The discovery and proof processes the gifted students made were categorized, and levels revealed in their processes were analysed.

• Journal of Educational Research in Mathematics
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• v.26 no.4
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• pp.701-714
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• 2016

This study examined the structural relationships among parental attitudes and expectations toward mathematics, mathematics motivation and achievement of their child in PISA 2012 of South Korea. Data were analyzed using structural equation modeling(SEM) analysis. The results were as follows: First, parental attitudes toward mathematics had positive effects on parent academic and professional expectations in mathematics. Second, parental expectations also had positive effects on intrinsic motivation, instrumental motivation and math achievement for their child. Third, instrumental motivation had strongest effects on math achievement. The next factors which had effects on math achievement were intrinsic motivation and parental expectations in order. This results shows that the parental awareness of the usefulness and necessity of mathematics will help to increase the interest and value toward mathematics, math achievement and interest of math related carriers of their child.

• School Mathematics
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• v.15 no.1
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• pp.37-59
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• 2013

The purpose of this study was to examine and analyze the mathematical tasks in the high school textbooks. In particular, it aimed to reveal the overall picture of the level of cognitive demand of the mathematical tasks in the textbooks. We adopted the framework for mathematical task analysis suggested by Smith & Stein (1998) and analyzed the mathematical tasks accordingly. The findings from the analysis showed that 95 percent of the mathematical tasks were at low level and the rest at high level in terms of cognitive demand. Most of the mathematical tasks in the textbooks were algorithmic and focused on producing correct answers by using procedures.

• School Mathematics
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• v.15 no.4
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• pp.701-721
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• 2013

In this study, I set the 5th grade children mathematically gifted in elementary school to pose freely the creative and difficult mathematical problems by using their knowledges and experiences they have learned till now. I wanted to find out that the math brains in elementary school 5th grade could posed mathematical problems to a certain levels and by the various and divergent thinking activities. Analyzing the mathematical problems of the mathematically gifted 5th grade children posed, I found out the math brains in 5th grade can create various and refined problems mathematically and also they did effort to make the mathematically good problems for various regions in curriculum. As these results, I could conclude that they have had the various and divergent thinking activities in posing those problems. It is a large goal for the children to bring up the creativities by the learning mathematics in the 2009 refined elementary mathematics curriculum. I emphasize that it is very important to learn and teach the mathematical problem posing to rear the various and divergent thinking powers in the school mathematics.

• Journal of the Korean School Mathematics Society
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• v.20 no.2
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• pp.187-210
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• 2017

The animated discussion about mathematical modeling that had studied consistently in Korea since 1990s has flourished, because mathematical modeling was involved in the teaching-learning method to improve problem solving competency on 2015 reformed mathematics curriculum. In an attempt to re-examine the educational value and necessity of application to school education field, this study was to review the literature of mathematical modeling in mathematical competencies perspective. As a result, mathematical modeling could not only be involved the components of problem solving competency, but also support other competencies; reasoning, creativity-amalgamation, data-processing, communication, and attitude -practice. In this regard, This paper suggested the necessity of the discussion about the position of mathematical modeling in mathematical competencies and the active use of mathematical modeling tasks in mathematics textbook or school classes.

• Journal of Gifted/Talented Education
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• v.25 no.4
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• pp.581-605
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• 2015

The purpose of this study is to build an instruction method focused on the mathematical process and apply it to 12, 5-year-olds from Kindergarten located in Seoul with a view to explore the changes in their mathematical thinking. In addition, surveys with parents and teachers, as well as those conducted in the field of early childhood education, were conducted to analyze the current situation. The effects focused on the five mathematical processes, namely problem solving, reasoning and proof, connecting, representing and communication was found to help the interactions between teacher-child and child-child stimulate the mathematical thinking of the children and induce changes. The mathematical process-focused instruction aimed to advance mathematical thinking internalized mathematical knowledge, presented an integrated problematic situation, and empathized the mathematical process, which enabled the children to solve the problem by working together with peers. As such, the mathematical thinking of the children was integrated and developed within the process of a positive change in the mathematical attitude in which mathematical knowledge is internalized through mathematical process.

• Communications of Mathematical Education
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• v.25 no.4
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• pp.629-639
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• 2011

Currently science and technology are changing so fast and college mathematics becomes more and more important. But the downturn of freshmen's scholastic performance has been intensified and this phenomenon leads to serious problems in managing college curriculums. During the recent years at a middle level engineering college, many freshmen had a lot of difficulties in their mathematics courses. In consequence, many of them had hard time to survive at their major curriculums. In this point of view, we analyse the situation of mathematical scholastic ability among engineering majored freshmen through the research on the actual state of mathematical background, mathematical scholastic ability test, college mathematics scores, and scholastic aptitude test scores. We study the relation between the mathematics score of scholastic aptitude test for the college entrance and mathematical scholastic ability of freshmen of a middle level engineering college. From this study we conclude that the essential reasons for the above situations are the curriculum of middle school mathematics and the system of scholastic aptitude test and the entrance examination of university. In order for improving mathematical accomplishment. we give suggestions such as a learning ability improvement program in mathematics.