• 한국수학교육학회지시리즈D:수학교육연구
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• 제12권3호
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• pp.201-213
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• 2008

The main purpose of this study is to explore the relationship between the 'logical reasoning skill' and performance in the logic unit that is part of the grade 9 syllabus in mathematics in Turkey. After the teaching of the logic unit, an achievement test, a general skills test and the test of logical reasoning were administered to the 80, 9th year high school students. Pearson Moments Correlation coefficient was used for the analysis of the data to determine the relations between the variables. In addition to that to obtain the most suitable regression explaining the students' performances in the logic unit, stepwise multiple regressions analysis was used. At the end of the study, statistically significant relations were found between the students' performance in the logic unit and their logical reasoning skills, their results of the shape recognition test from the general skills battery and their overall performance in the mathematics lesson.

• 대한화학회지
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• 제58권6호
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• pp.667-680
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• 2014

본 연구의 목적은 과학 수업 시간에 비례, 보존, 변인 통제, 확률, 상관, 조합 논리 활동을 강화한 탐구 교수 전략을 개발하고 이를 적용함으로써 그 효과를 검증하는 것이다. 이를 위해서 논리적 사고력 강화 모형인 MCP(M: 동기 유발단계, C: 갈등 유발 단계, P: 문제 해결 단계)모형을 개발하였으며 이를 탐구 과정에 적용하여 논리적 사고력을 강화한 탐구 교수 모형을 개발하였다. 이 후 중학교 1학년 과학 교과서 내용에 있는 논리 사고 요소를 추출한 후에 이 논리 사고 요소들을 MCP 모형으로 변형하여 중학교 1학년용 탐구 과학 교수 전략들을 개발하였다. 대부분 구체적 조작 수준이거나 과도기 수준인 중학교 1학년 학생들을 대상으로 개발한 교수 전략을 2011년 5월부터 12월까지 60차시 동안 실시한 후 이 교수 전략이 논리적 사고력에 미치는 효과를 알아보았다. 그 결과 논리적 사고력은 유의미하게 향상되는 것으로 나타났다(p<.05). 특히 보존 논리, 변인 통제 논리, 조합 논리가 유의미하게 신장된 것으로 나타난 반면 비례 논리, 확률 논리, 상관 논리는 유의미한 향상이 없었다(p<.05). 이러한 교수 전략에 따른 논리적 사고력은 학생들의 인지 수준의 영향을 받고 있지 않은 것으로 나타났다(p<.05).

• 한국초등수학교육학회지
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• 제21권3호
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• pp.461-483
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• 2017

수학적으로 사고하고 귀납적으로 추론하는 능력은 논증적 추론으로 나아가는 토대이며 초등학교 수학교육과정을 통해 길러야 할 중요한 목표라 할 수 있다. 이러한 이유에서 초등학생들의 귀납적 추론 과정을 분석하고 그 과정에서 나타난 어려움의 원인은 무엇인지 찾아보아야 할 필요가 있다. 이에 본 연구에서는 초등학교 수학교육과정에서 귀납적 추론 지도의 실태를 분석하고 문제풀이과정 중에서 나타나는 학생들의 귀납적 추론 능력의 실태와 그 특징을 분석하여 초등수학교육과정에서 귀납적 추론 능력 신장을 위한 시사점을 도출하였다.

• 한국과학교육학회지
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• 제23권4호
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• pp.309-318
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• 2003

Scientific reasoning is one of the main concerns in current science education. This study have tried to answer on the question whether Korean science education has the potential to help improve of students' ability to think scientifically. Therefore, the present study investigated the relationship between reasoning patterns evident in science textbook and science examination items, and students' scientific reasoning skills across grades in Korea. 1975 subjects (1022 females and 953 males) were administered in the Lawson's Test of Scientific Reasoning skills. Forty seven science textbooks and 240 assessment instrument were analyzed by several scientific reasoning keys. Scientific reasoning patterns were adopted from Lawson's classification which characterized the patterns as the empirical-inductive and the hypothetical-deductive. This study found that reasoning patterns evident in textbook analyses and assessment instrumental items do not evidentce the potential to stimulate the development of students' reasoning skill. In order to improve the students' abilities to think and achieve, higher levels of reasoning must be included in the science textbook and examination. Further, some of scientific reasoning processes, such as generating hypotheses, designing experiments, and logical prediction, were not found in science textbooks and test items in Korean secondary schools. This study also discussed the educational implication of these results and further studies about to develop student's reasoning ability.

• 한국수학교육학회지시리즈A:수학교육
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• 제56권1호
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• pp.63-80
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• 2017

By analysing the examination papers from third grade high school students, we classified the errors occurred in the problem solving process of high school 'Geometry and Vectors' into several types. There are five main types - (A)Insufficient Content Knowledge, (B)Wrong Method, (C)Logical Invalidity, (D)Unskilled Expression and (E)Interference.. Type A and B lead to an incorrect answer, and type C and D cannot be distinguished by multiple-choice or closed answer questions. Some of these types are classified into subtypes - (B1)Incompletion, (B2)Omitted Condition, (B3)Incorrect Calculation, (C1)Non-reasoning, (C2)Insufficient Reasoning, (C3)Illogical Process, (D1)Arbitrary Symbol, (D2)Using a Character Without Explanation, (D3) Visual Dependence, (D4)Symbol Incorrectly Used, (D5)Ambiguous Expression. Based on the these types of errors, answers of each problem was analysed in detail, and proper ways to correct or prevent these errors were suggested case by case. When problems that were used in the periodical test were given again in descriptive forms, 67% of the students tried to answer, and 14% described flawlessly, despite that the percentage of correct answers were higher than 40% when given in multiple-choice form. 34% of the students who tried to answer have failed to have logical validity. 37% of the students who tried to answer didn't have enough skill to express. In lessons on curves of secondary degree, teachers should be aware of several issues. Students are easily confused between 'focus' and 'vertex', and between 'components of a vector' and 'coordinates of a point'. Students often use an undefined expression when mentioning a parallel translation. When using a character, students have to make sure to define it precisely, to prevent the students from making errors and to make them express in correct ways.