• 한국수학교육학회지시리즈A:수학교육
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• 제45권1호
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• pp.97-104
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• 2006

The purpose of this study is to extract some suggestions in developing the elementary students' abilities to solve the fundamental mathematical problems by analyzing the degree of the correlation between the fundamental mathematical capability and the reading capability of the elementary 3th graders. In order to achieve this goal, this article analyzed the correlation between the fundamental mathematical capability and the reading capability on the basis of the studying result about the diagnostic evaluation conducted on 20,556 elementary 3th graders by the KICE as a national level basic scholastic achievement evaluation. The coefficient of correlation between the fundamental mathematical capability and the reading capability was .621. As such, it shows that the reading capability plays an important role in solving the fundamental mathematical problems. Particularly, the coefficient of correlation between the corollary arguments and the problem solving ability and the reading capability was the highest among the sub-capabilities of fundamental mathematical capability. In addition, judging from the result that the coefficient of correlation between the practical understanding capability and the solving capability of the fundamental mathematical problems was .528, it informs that the practical understanding capability takes an' important part in developing the fundamental mathematical capability of the elementary students. The results of this study support the hypothesis that the understanding capability plays the very important role in solving the fundamental mathematical problems. In particular, the results suggest that it is necessary that the pupils should be simultaneously supported not only by the capability of the mathematical basis, but also by the reading capability, especially the practical understanding capability about the problems, in order to develop the capability to solve the fundamental mathematical problems.

• 한국수학교육학회지시리즈A:수학교육
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• 제54권3호
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• pp.207-222
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• 2015

Mathematics preservice teachers' Mathematical Content Knowledge ("MCK") includes not only knowledge for mathematics, but also academic knowledge for school mathematics and mathematical process knowledge. We can consider the items in PISA 2012 as suitable tools to assess process knowledge as well as mathematical content knowledge because these items are developed by competent international educational experts. Therefore, the responses to items with the low percentage of correct answers in conjunction with the mathematical contents were analyzed with focus on FMC. The results showed the reasoning competency in responses using the conditions of the problem and of understanding the conditions after reading the complex problems within the context (i.e. the reasoning and argumentation competency, and communication competency) requires improvements. Furthermore the results indicated the errors due to a lack of ability of devising strategies for problem solving. Based on the foregoing results, the implications towards the directions of the education for the preservice mathematics teachers have been derived.

• 한국수학교육학회지시리즈A:수학교육
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• 제54권3호
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• pp.261-282
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• 2015

The purpose of this study was to provide insights on making Korean mathematics framework by analytical comparison of three major assessments such as the NAEP 2015, the TIMSS 2015 and the PISA 2015. This study focused on the key differences and common themes of mathematics frameworks among three major assessments. In order to achieve this purpose, mathematical frameworks of the NAEP 2015, the TIMSS 2015, and the PISA 2015 were analyzed and compared. The criteria of the comparison were content domain and cognitive domain. The comparing criteria of content domain were based on NCTM content standards and cognitive domain were used the three understanding levels of Jan de Lange's pyramid model. Based on these comparisons, researchers discussed that Korea mathematical framework was needed to have a set of content categories that reflect the range of underlying mathematical phenomena and a set of cognitive levels which contain the range of underlying fundamental mathematical capabilities including consideration of contexts.

• 전자통신동향분석
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• 제38권6호
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• pp.1-11
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• 2023

Large language models seem promising for handling reasoning problems, but their underlying solving mechanisms remain unclear. Large language models will establish a new paradigm in artificial intelligence and the society as a whole. However, a major challenge of large language models is the massive resources required for training and operation. To address this issue, researchers are actively exploring compact large language models that retain the capabilities of large language models while notably reducing the model size. These research efforts are mainly focused on improving pretraining, instruction tuning, and alignment. On the other hand, chain-of-thought prompting is a technique aimed at enhancing the reasoning ability of large language models. It provides an answer through a series of intermediate reasoning steps when given a problem. By guiding the model through a multistep problem-solving process, chain-of-thought prompting may improve the model reasoning skills. Mathematical reasoning, which is a fundamental aspect of human intelligence, has played a crucial role in advancing large language models toward human-level performance. As a result, mathematical reasoning is being widely explored in the context of large language models. This type of research extends to various domains such as geometry problem solving, tabular mathematical reasoning, visual question answering, and other areas.