• Research in Mathematical Education
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• v.11 no.1
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• pp.33-51
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• 2007

The present study explores mathematics teachers' understanding of division by zero and their approaches to explaining the impossibility of division by zero. This study analyzes Chinese and Korean middle school mathematics teachers' responses to the teaching task of explaining the impossibility of dividing 7 by zero, and examples of teachers' reasoned explanations for their answers are presented. The findings from this study suggest that most Korean teachers offer multiple types of mathematical explanations for justifying the impossibility of division by zero, while Chinese teachers' explanations were more uniform and based less on mathematical ideas than those of their Korean counterparts. Another finding from this study is that teachers' particular conceptions of zero were strongly associated with their justifications for the impossibility of division by zero, and the influence of the teachers' conceptions of zero was revealed as a barrier in composing a well-reasoned explanation for the impossibility of division by zero. One of the practical implications of this study is those teachers' basic attitudes toward always attempting to give explanations for mathematical facts or mathematical concepts do not seem to be derived solely from their sufficient knowledge of the facts or concepts of mathematics.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2010.04a
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• pp.151-163
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• 2010

This study is to provide improved teaching methods on classical geometric construction education by a straightedge and compass in school mathematics. In this paper, justifications of construction methods of Korean textbooks, for perpendicular bisector of an segment and angle bisector are discussed, which can be directly applicable to teaching geometric construction meaningfully. Based on these considerations, several implications for desirable teaching methods concerning geometric construction were suggested.

• Journal of the Korean School Mathematics Society
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• v.19 no.3
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• pp.217-238
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• 2016

The purpose of the study is to analyze the influence of the accomplishing pressure of teachers and parents on academic achievement in mathematics in accordance with the differences in the degree of intrinsic motivation in mathematics. The accomplishing pressure of teachers was meaningful on the academic achievement in mathematics in the analysis including the interaction of intrinsic motivation in mathematics. The students with high degree of intrinsic motivation were influenced in a negative manner. Meanwhile the students with middle or low degree of intrinsic motivation were influenced in a positive manner. The result implies that it is more important to consider the level of mathematical intrinsic motivation, when teachers accomplish an achievement pressure to improve academic achievement in mathematics. On the analysis including the interaction of intrinsic motivation of mathematics, the accomplishing pressure of parents showed positive effect in general on the academic achievement in mathematics. The students with high or middle degree of intrinsic motivation were highly influenced in a positive manner than the students with low degree of intrinsic motivation. The result implies the necessity of the implementation of continuous accomplishing pressure on students as the high degree of accomplishing pressure of parents leads to positive influence on the academic achievement in mathematics.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2010.04a
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• pp.77-82
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• 2010

This study assumes alternative character of the operation of gifted class in middle school. The case that operated the voluntary mathematics club for one year was analyzed and the educational effect was considered. First, the examination instrument for choosing the members of mathematics club was developed and used. Second, diverse teaching and learning materials for improving creativity and mathematical ability of the members were used. Third, the difference of learning result between the experiment group and control one who joined the activities of mathematics club was analyzed.

• Communications of Mathematical Education
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• v.37 no.3
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• pp.329-348
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• 2023

This study is necessary for the stable settlement of the 2022 revised mathematics curriculum 'data and possibility' area. This study was conducted centering on literature analysis. The purpose of this study is to realize statistics education in line with the 2022 revised mathematics curriculum. This purpose was achieved by examining the statistics learning contents of the 2022 revised curriculum, analyzing Chinese mathematics curriculum, and analyzing Chinese mathematics textbooks. In this study, the following studies were conducted. First, five elements were extracted through the analysis of the 'statistics and probability' area of the Chinese mathematics curriculum. The extracted elements are the 4th grade goals, synthesis and practice content areas, achievement standards for statistics and probability (6), (9), and (11). Second, examples presented in Chinese mathematics textbooks and Chinese curriculum appendices related to the extracted elements were analyzed. Regarding the 4th grade goal, the statistical problem-solving process of the 7th grade 2nd semester mathematics textbook was analyzed. Regarding the synthesis and practice content area, the data analysis unit of the 8th grade 2nd semester mathematics textbook was analyzed. In relation to the achievement standard (6), Example 85 of the curriculum appendix was analyzed, in relation to the achievement standard (9), Example 86 was analyzed, and in relation to the achievement standard (11), Example 87 was analyzed. Third, based on the analysis results, implications for the development of new curriculum and 'textbook development, teaching and learning methods' according to the 2022 revised middle school mathematics curriculum were derived. Through the results of this study, we expect the successful realization of the 2022 revised middle school mathematics and curriculum statistics education.

• Research in Mathematical Education
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• v.13 no.4
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• pp.267-296
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• 2009

We used the quantitative method to compare with Chinese junior middle school students' mathematics belief systems in Chaoxian and Han nationalities, and their correlations within its own group. By comparison, the results revealed that all students in Han and Chaoxian nationalities hold multiple beliefs, and their belief systems are not stable. In addition, there were some differences and similarities between their belief systems in two nationalities, and significant correlations were founded.

• School Mathematics
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• v.19 no.4
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• pp.731-749
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• 2017

The purpose of this study is to find out whether the current mathematics textbooks are structured so as to cultivate students' statistical literacy. To do this, we analyzed the problems of the statistics units of 9 kinds of middle school 3rd grade mathematics textbook according to 2009 revised mathematics curriculum based on four types of context and statistical problem solving process. As a result of the analysis, among the four types of context, the problems that correspond to the type of personal context was the highest in 67% and among statistical problem solving process, the data analysis process was the highest in 72.85%. According to the results of this study, it is necessary to include the problems that can recognize the necessity of statistics through the use of various contexts and that can develop the statistical literacy through the activities that from the process of collecting data to guessing reasonable conclusions from the presented data.

• School Mathematics
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• v.15 no.1
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• pp.15-35
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• 2013

The purpose of the research is to categorize math learners into pattern through those tools that distinguish math learning style for middle school students. On the ground of survey for 976 middle school students, the fact that there are 16 different math learning style at the result of cluster analysis is confirmed and the results are compared and analyzed previous research. Also according to the each constituent of math learning style, dissimilarity of distribution about learner of different sexes and grades are analyzed. It's helpful to understanding the whole characteristics of learners regarding math learning to figure out their cognitive and affective learning styles through the tools to distinguish their math learning styles.

• Research in Mathematical Education
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• v.18 no.2
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• pp.129-148
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• 2014

In this study, we examined the relationships among years of teaching experience, professional rank, number of courses taken, and knowledge of algebra for teaching (KAT). 338 in-service and 376 pre-service secondary mathematics teachers in China completed a KAT questionnaire. Various statistical techniques were employed to examine these relationships. The pre-service participants teachers performed statistically significantly higher in advanced mathematics knowledge than their in-service counterparts. Among the inservice teachers, senior teachers had scored higher in school mathematics and teaching mathematics, compared with junior teachers. Yet participants' advanced mathematics knowledge decreased as their professional rank advanced or their teaching experience increased. The number of courses taken has significantly positive correlation with school mathematics knowledge and advanced mathematics knowledge. The implications of these findings for mathematics teacher education are discussed.

• Journal of the Korean School Mathematics Society
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• v.15 no.1
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• pp.199-214
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• 2012

Stochastic independence of events is not only important concept but useful role in statistics and probability. In this paper, we investigate and analyze the definition of stochastic independence used in the middle and high school mathematics education course. and We investigated that students know concept of independent events. As a result, students was a lack of understanding about the concepts associated with independence of events. and the connection between concepts associated with independent of events were partially. Also, Connections between lower-level concepts and high-level concepts can be done well so teaching-learning was needed.