• Journal of the Korean School Mathematics Society
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• v.14 no.3
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• pp.295-323
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• 2011

This study is based on the recognition that teacher educators have to focus their attention on developing pre-service teachers' statistical reasoning for statistics education of school mathematics. This paper investigated knowledge on pre-service teachers' statistical reasoning. Statistical Reasoning Assessment (SRA) is performed to find out pre-service teachers' statistical reasoning ability. The research findings are as follows. There was meaningful difference in the statistical area of statistical reasoning ability with significant level of 0.05. This proved that 4 grades pre-service teachers were more improve on statistical reasoning than 2 grades pre-service teachers. Even though most of the pre-service teachers ratiocinated properly on SRA, half of pre-service teachers appreciated that small size of sample is more likely to deviate from the population than the large size of sample. A few pre-service teachers have difficulties in understanding "Correctly interprets probabilities(be able to explain probability by using ratio" and "Understands the importance of large samples(A small sample is more likely to deviate from the population)".

• Journal of The Korean Association For Science Education
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• v.33 no.1
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• pp.181-192
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• 2013

This study aims to explore scientific reasoning that students and their teachers constructed in elementary science classroom discourses in terms of basic reasoning types; deduction, induction, and abduction. For this research, data were collected from 13 classes of 4th grade science activities during a period of three months and analyzed three types of scientific reasoning in elementary school science discourses. We found that deduction (one discourse segment), induction (one discourse segment), and deduction-abduction (two discourse segments) were presented in the discourses. They showed that: first, scientific reasoning proceeded explicitly or implicitly in elementary science discourses; second, the students and their teachers have potentials to increase the quality of reasoning depending on their inter-subjectivity; and last, the students' background knowledge were very important in the development of their reasoning. Implication and remarks on science education and research were presented based on this results as well.

• Journal of the Korean Chemical Society
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• v.67 no.5
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• pp.362-377
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• 2023

The purpose of this study was to investigate the effect of semantic mapping as a science text reading strategy on high school students' inferential understanding. For this purpose, eight science text reading classes were conducted a reading strategy using semantic mapping for 46 students in two science-focused classes in the third grade of a high school. To investigate the effects of semantic mapping reading strategy on students' inferential comprehension, students' pre- and post-reading ability tests results were analyzed. In order to find out the change in inferential comprehension, the level of the inferential comprehension was analyzed using the analysis framework for developed in this study. For the classification of inferential comprehension, the levels of the inferential comprehension were converted into scores. The results of the analysis of changes in students' inferential comprehension showed that semantic mapping reading strategy classes influenced the changes in high school students' inference, especially bridge inference and elaborative inference among sub-elements of inferential comprehension.

• Communications of Mathematical Education
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• v.13 no.1
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• pp.161-167
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• 2002

본 연구의 목적은 초등학생들이 자신의 전제 해석 유형에 따라 일정한 추론 결과를 내는가를 알아봄으로서, 초등학생들이 일정한 법칙에 따라 사고하는가를 알아보고자 하는데 있다. 지필 검사와 면담을 통해 24명의 대상아동 중 20명(83%)이 자신의 전제 해석 유형에 따라 일정한 추론 결과를 내고 있음을 알 수 있었다. 이를 통해 초등학생의 추론 과정은 일정한 법칙을 따르고 있다는 것을 알 수 있었다. 산발적이라고 생각되는 초등학생의 답일지라도 면밀히 관찰해 보면 그들 나름의 일정한 법칙에 의해 산출한 답이었다. 이러한 사실은 사고의 결과 뿐 아니라 사고의 과정에 대한 깊은 관심이 필요하다는 것을 시사한다.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.1
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• pp.105-129
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• 2016

The elements of mathematical processes include mathematical reasoning, mathematical problem-solving, and mathematical communications. Proportion reasoning is a kind of mathematical reasoning which is closely related to the ratio and percent concepts. Proportion reasoning is the essence of primary mathematics, and a basic mathematical concept required for the following more-complicated concepts. Therefore, the study aims to analyze the proportion reasoning ability of sixth graders of primary school who have already learned the ratio and percent concepts. To allow teachers to quickly recognize and help students who have difficulty solving a proportion reasoning problem, this study analyzed the characteristics and patterns of proportion reasoning of sixth graders of primary school. The purpose of this study is to provide implications for learning and teaching of future proportion reasoning of higher levels. In order to solve these study tasks, proportion reasoning problems were developed, and a total of 22 sixth graders of primary school were asked to solve these questions for a total of twice, once before and after they learned the ratio and percent concepts included in the 2009 revised mathematical curricula. Students' strategies and levels of proportional reasoning were analyzed by setting up the four different sections and classifying and analyzing the patterns of correct and wrong answers to the questions of each section. The results are followings; First, the 6th graders of primary school were able to utilize various proportion reasoning strategies depending on the conditions and patterns of mathematical assignments given to them. Second, most of the sixth graders of primary school remained at three levels of multiplicative reasoning. The most frequently adopted strategies by these sixth graders were the fraction strategy, the between-comparison strategy, and the within-comparison strategy. Third, the sixth graders of primary school often showed difficulty doing relative comparison. Fourth, the sixth graders of primary school placed the greatest concentration on the numbers given in the mathematical questions.

• Journal of Korean Elementary Science Education
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• v.42 no.1
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• pp.109-126
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• 2023

In this study, I took the evidence-explanation (E-E) continuum perspective to examine the epistemological implications of scientific reasoning cases designed by preservice elementary teachers during their simulation teaching. The participants were four preservice teachers who conducted simulation instruction on the seasons and high/low air pressure and wind. The selected discourse episodes, which included cases of inductive, deductive, or abductive reasoning, were analyzed for their epistemological implications-specifically, the role played by the reasoning cases in the E-E continuum. The two preservice teachers conducting seasons classes used hypothetical-deductive reasoning when they identified evidence by comparing student-group data and tested a hypothesis by comparing the evidence with the hypothetical statement. However, they did not adopt explicit reasoning for creating the hypothesis or constructing a model from the evidence. The two preservice teachers conducting air pressure and wind classes applied inductive reasoning to find evidence by summarizing the student-group data and adopted linear logic-structured deductive reasoning to construct the final explanation. In teaching similar topics, the preservice teachers showed similar epistemic processes in their scientific reasoning cases. However, the epistemological implications of the instruction were not similar in terms of the E-E continuum. In addition, except in one case, the teachers were neither good at abductive reasoning for creating a hypothesis or an explanatory model, nor good at using reasoning to construct a model from the evidence. The E-E continuum helps in examining the epistemological implications of scientific reasoning and can be an alternative way of transmitting scientific reasoning.

• The Journal of Korean Academy of Orthopedic Manual Physical Therapy
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• v.14 no.2
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• pp.41-49
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• 2008

임상추론은 환자를 평가하고 관리하는데 사용되는 임상가의 필수적인 생각 또는 동적인 인지과정이라고 할 수 있다. 임상추론은 환자의 문제를 인식하고 식별하며 더 나은 환자관리가 이루어지도록 환자의 상태에 대처하며 정보를 해석하고 분석하는 것으로서 이를 위해 임상가는 적절한 지식을 가지고 있어야 하며 임상추론 기술과 관련된 폭넓은 이해가 요구된다. 임상추론은 치료사, 환자, 그리고 환경간의 상호관계를 가진 복잡한 과정으로 임상추론과정에서 치료사와 환자간에는 충분한 협조가 이루어져야 한다. 임상추론에서의 해석적 모델로는 진단적 추론, 상호작용의 추론, 이야기적 추론, 협조적 추론, 예언적 추론, 윤리적 추론, 추론의 교육 등이 제시된다. 임상추론 과정에서 필수적인 주요 요소는 충분한 지식, 인지와 초인지 기술을 포함하며 이들 요소는 치료사와 환자간의 관계에서 발달되어야 한다. 이들 기술 중에 어떠한 실수라도 임상추론의 오류를 초래할 수 있다. 추론에서 오류의 원인으로는 암시된 정보의 잘못된 인지, 임상페턴에 대한 지식부족, 특정 상태에 대해 알려진 사실을 잘못 적용하는 경우를 들 수 있다. 오류는 임상추론 과정의 어떤 단계에서도 일어날 수 있으므로 효과적인 학습전략을 통하여 이들 오류를 예방할 수 있을 것이다.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.505-516
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• 2013

The purpose of this paper is to analyse the essence of proportional reasoning and to analyse the contents of the textbooks according to the mathematics curriculum revised in 2007, and to seek the direction for developing the proportional reasoning in the elementary school mathematics focused the task variables. As a result of analysis, it is found out that proportional reasoning is one form of qualitative and quantitative reasoning which is related to ratio, rate, proportion and involves a sense of covariation, multiple comparison. Mathematics textbooks according to the mathematics curriculum revised in 2007 are mainly examined by the characteristics of the proportional reasoning. It is found out that some tasks related the proportional reasoning were decreased and deleted and were numerically and algorithmically approached. It should be recognized that mechanical methods, such as the cross-product algorithm, for solving proportions do not develop proportional reasoning and should be required to provide tasks in a wide range of context including visual models.

• Journal of Educational Research in Mathematics
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• v.19 no.1
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• pp.81-98
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• 2009

This study analyzed the types of quantitative reasoning and the characteristics of representation in order to figure out the characteristics of quantitative reasoning of the sixth graders. Three students who used quantitative reasoning in solving problems were interviewed in depth. Results showed that the three students used two types of quantitative reasoning, that is difference reasoning and multiplicative reasoning. They used qualitatively different quantitative reasoning, which had a great impact on their problem-solving strategy. Students used symbolic, linguistic and visual representations. Particularly, they used visual representations to represent quantities and relations between quantities included in the problem situation, and to deduce a new relation between quantities. This result implies that visual representation plays a prominent role in quantitative reasoning. This paper included several implications on quantitative reasoning and quantitative approach related to early algebra education.

• Journal of Educational Research in Mathematics
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• v.25 no.1
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• pp.21-58
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• 2015

The aim of this study is to look into the didactical background for teaching proportional reasoning in elementary school mathematics and offer suggestions to improve teaching proportional reasoning in the future. In order to attain these purposes, this study extracted and examined key ideas with respect to the didactical background on teaching proportional reasoning through a theoretical consideration regarding various studies on proportional reasoning. Based on such examination, this study compared and analyzed textbooks used in the United States, the United Kingdom, and South Korea. In the light of such theoretical consideration and analytical results, this study provided suggestions for improving teaching proportional reasoning in elementary schools in Korea as follows: giving much weight on proportional reasoning, emphasizing multiplicative comparison and discerning between additive comparison and multiplicative comparison, underlining the ratio concept as an equivalent relation, balancing between comparisons tasks and missing value tasks inclusive of quantitative and qualitative, algebraic and geometrical aspects, emphasizing informal strategies of students before teaching cross-product method, and utilizing informal and pre-formal models actively.