• Title/Summary/Keyword: 교수적 추론

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A Comparison on the Relations between Affective Characteristics and Mathematical Reasoning Ability of Elementary Mathematically Gifted Students and Non-gifted Students (초등 수학영재와 일반학생의 정의적 특성과 수학적 추론 능력과의 관계 비교)

  • Bae, Ji Hyun;Ryu, Sung Rim
    • Education of Primary School Mathematics
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    • v.19 no.2
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    • pp.161-175
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    • 2016
  • The purpose of this study is to measure the differences in affective characteristics and mathematical reasoning ability between gifted students and non-gifted students. This study compares and analyzes on the relations between the affective characteristics and mathematical reasoning ability. The study subjects are comprised of 97 gifted fifth grade students and 144 non-gifted fifth grade students. The criterion is based on the questionnaire of the affective characteristics and mathematical reasoning ability. To analyze the data, t-test and multiple regression analysis were adopted. The conclusions of the study are synthetically summarized as follows. First, the mathematically gifted students show a positive response to subelement of the affective characteristics, self-conception, attitude, interest, study habits. As a result of analysis of correlation between the affective characteristic and mathematical reasoning ability, the study found a positive correlation between self-conception, attitude, interest, study habits but a negative correlation with mathematical anxieties. Therefore the more an affective characteristics are positive, the higher the mathematical reasoning ability are built. These results show the mathematically gifted students should be educated to be positive and self-confident. Second, the mathematically gifted students was influenced with mathematical anxieties to mathematical reasoning ability. Therefore we seek for solution to reduce mathematical anxieties to improve to the mathematical reasoning ability. Third, the non-gifted students that are influenced of interest of the affective characteristics will improve mathematical reasoning ability, if we make the methods to be interested math curriculum.

통계적 교수 ${\cdot}$ 학습 과정을 통한 그래프 이해력 증진에 관한 탐구

  • Park, Gyeong-Yeon;Choe, Chang-U
    • Communications of Mathematical Education
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    • v.11
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    • pp.107-126
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    • 2001
  • 우리는 흔히 21C를 정보화 시대라고 하며 우리에게 주어지는 정보들 또한 일기예보와 같은 일상적인 분야에서 여론 조사와 같은 전문적인 분야에 이르기까지 아주 다양하다. 이런 정보들은 통계영역과 아주 밀접하며 이런 정보들을 통계적으로 바르게 해석하고 추론하여 일반화하는 등 일련의 과정들을 요구한다. 이런 상황아래 본 연구에서는 6차 초등학교 수학 교과서에서 여러 통계학 영역 중 그래프 형태로 가장 먼저 도입되는 막대그래프에 중점을 두어 현행 교과서에서 학습 내용과 학습 과정의 문제점에는 어떤 것이 있으며 아울러 그래프 이해력에 필요한 요소나 인지적 사고 능력, 그래프 이해력의 수준을 알아보고, 이를 바탕으로 여러 문헌을 통해 본 연구자가 나름대로 구안한 통계적 기법을 사용한 교수 ${\cdot}$ 학습 과정을 실험반에 적용한 후 그래프 이해력 사전 ${\cdot}$ 사후 검사를 비교함으로써 통계적 기법을 사용한 교수 ${\cdot}$ 학습 과정이 그래프 이해력에 어떠한 영향을 미치는지 알아보고자 한다.

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The Study on Using Spreadsheet in Probability and Statistics Area of High School (고등학교 확률 통계 영역에서 스프레드시트 활용에 대한 연구)

  • Lee, Jong-Hak
    • School Mathematics
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    • v.13 no.3
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    • pp.363-384
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    • 2011
  • This study is based on the recognition that the school mathematics education should reinforce the heuristic and constructional aspects related with discoveries of mathematical rules and understanding of mathematical concepts from real world situations as well as the deductive and formal aspects emphasizing on mathematical contents precisely. The 11th grade students of one class from a city high school with average were chosen. They were given time to learn various functions of Excel in regular classes of "Information Society and Computer" subject. They don't have difficulty using cells, mathematical functions and statistical functions in spreadsheet. Experiment was performed for six weeks and there were two hours of classes in a week. Considering the results of this research, teaching materials using spreadsheets play an important role in helping students to experience probabilistic and statistical reasoning and construct mathematical thinking. This implies that teaching materials using spreadsheet provide students with an opportunity to interact with probabilistic and statistical situations by adopting engineering which can encourage students to observe and experience various aspects of real world in authentic situations.

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A Study on Secondary School Students' Reasoning Types about Measurement (중.고등학생들의 측정에 대한 추론 유형 분석)

  • Lee, Eun-Mi;Kim, Beom-Ki
    • Journal of The Korean Association For Science Education
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    • v.32 no.2
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    • pp.293-305
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    • 2012
  • The purpose of this study was to analyze the secondary school students' reasoning types in regards to measurement and to get implications for science education. The subjects were 197 middle school students and 200 high school students. The PMQ1 written instrument was used to explore students' ideas. Students' ideas about measurement were classified in two types of point and set reasoning. The reasoning types distribution were analyzed by grade and measurement step such as data collection, data processing, and data comparison. Reasoning types distribution by measurement step indicated that set reasoning type showed high figures in data processing, but point reasoning type appeared in data collection, and data comparison. Set reasoning type increased significantly by grade in data comparison. The majority of students recognized that the true value of the measurand can not be determined.

Analyzing the Characteristics of Evidence Use and Decision-making Difficulties of Gifted Elementary Science Students in SSI Discussions (SSI 수업에서 초등 과학 영재의 추론 유형별 근거 활용의 특징과 의사결정의 어려움 분석)

  • Jang, Hyoungwoon;Jang, Shinho
    • Journal of Korean Elementary Science Education
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    • v.42 no.3
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    • pp.421-433
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    • 2023
  • This study examined the reasoning of gifted elementary science students in a socioscientific issues (SSI) classroom discussion on COVID-19-related trash disposal challenges. This study aimed to understand the characteristics of evidence use and decision-making difficulties in each type of SSI-related reasoning. To this end, the transcripts of 17 gifted students of elementary science discussing SSIs in a classroom were analyzed within the framework of informal reasoning. The analysis framework was categorized into three types according to the primary influence involved in reasoning: rational, emotional, and intuitive. The analysis showed that students exhibited four categories of evidence use in SSI reasoning. First, in the rational reasoning category, students deemed and recorded scientific knowledge, numbers, and statistics as objective evidence. However, students who experienced difficulty in investigating such scientific data were less likely to have factored them in subsequent decisions. Second, in the emotional reasoning category, students' solutions varied considerably depending on the perspective they empathized with and reasoned from. Differences in their views led to conflicting perspectives on SSIs and consequent disagreement. Third, in the intuitive reasoning category, students disagreed with the opinions of their peers but did not explain their positions precisely. Intuitive reasoning also created challenges as students avoided problem-solving in the discussion and did not critically examine their opinions. Fourth, a mixed category of reasoning emerged: intuition combined with rationality or emotion. When combined with emotion, intuitive reasoning was characterized by deep empathy arising from personal experience, and when combined with rationality, the result was only an impulsive reaction. These findings indicate that research on student understanding and faculty knowledge of SSIs discussed in classrooms should consider the difficulties in informal reasoning and decision-making.

Why Do Most Science Educators Encourage to Teach School Science through Lab-Based Instruction?: A Neurological Explanation (과학 교수.학습 과정에서 실험활동 중심 수업의 효율성에 대한 신경학적 설명)

  • Kwon, Yong-Ju;Lawson, Anton E.
    • Journal of The Korean Association For Science Education
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    • v.19 no.1
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    • pp.29-40
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    • 1999
  • The purpose of the present study was to test hypothesis that, because it uses tri-dimensional sensory pathway which have been showed a higher rate of neural activities than uni- or bi-dimensional's, lab-activity-based instruction is more effective teaching strategy in learning science than verbal-based instruction. In the present study, manipulative teaching strategy that uses visual, somatosensory and auditory information pathway was regarded as a mode of tri-dimensional sensory inputs. In addition, verbal teaching strategy that uses mainly auditory and a little visual information pathway was used as a mode of bi-dimensional sensory inputs. Fifty-six students who failed to successfully solve two proportional reasoning tasks (i.e., pouring water tasks) were sampled for this research from a junior high school. The subjects were randomly divided into a manipulative or a verbal teaching group, and given manipulative or verbal tutoring on the use of proportional reasoning strategies and a test of proportional reasoning during instruction. The results showed that manipulative group's performance on the test of proportional reasoning during instruction showed significantly higher performance than verbal group's (t=2.45, p<0.02). The present study also discussed some educational implications of the results.

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A Mathematics Tutoring Model That Supports Interactive Learning of Problem Solving Based on Domain Principles (공식원리에 기반한 대화식 문제해결 학습을 지원하는 수학교수 모형)

  • Kook, Hyung-Joon
    • The KIPS Transactions:PartB
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    • v.8B no.5
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    • pp.429-440
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    • 2001
  • To achieve a computer tutor framework with high learning effects as well as practicality, the goal of this research has been set to developing an intelligent tutor for problem-solving in mathematics domain. The maine feature of the CyberTutor, a computer tutor developed in this research, is the facilitation of a learning environment interacting in accordance with the learners differing inferential capabilities and needs. The pedagogical information, the driving force of such an interactive learning, comprises of tutoring strategies used commonly in various domains such as phvsics and mathematics, in which the main contents of learning is the comprehension and the application of principles. These tutoring strategies are those of testing learners hypotheses test, providing hints, and generating explanations. We illustrate the feasibility and the behavior of our propose framework with a sample problem-solving learning in geometry. The proposed tutorial framework is an advancement from previous works in several aspects. Firstly, it is more practical since it supports handing of a wide range of problem types, including not only proof types but also finding-unkown tpes. Secondly, it is aimed at facilitating a personal tutor environment by adapting to learners of varying capabilities. Finally, learning effects are maximized by its tutorial dialogues which are derived from real-time problem-solving inference instead of from built-in procedures.

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A Study on the Teaching Strategies of Mathematical Principles and Rules by the Inductive Reasoning (귀납 추론을 통한 수학적 원리.법칙 지도 방안에 관한 고찰)

  • Nam, Seung-In
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.3
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    • pp.641-654
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    • 2011
  • In order to grow students' rational and creative problem-solving ability which is one of the primary goals in mathematics education. students' proper understanding of mathematical concepts, principles, and rules must be backed up as its foundational basis. For the relevant teaching strategies. National Mathematics Curriculum advises that students should be allowed to discover and justify the concepts, principles, and rules by themselves not only through the concrete hands-on activities but also through inquiry-based activities based on the learning topics experienced from the diverse phenomena in their surroundings. Hereby, this paper, firstly, looks into both the meaning and the inductive reasoning process of mathematical principles and rules, secondly, suggest "learning through discovery teaching method" for the proper teaching of the mathematical principles and rules recommended by the National Curriculum, and, thirdly, examines the possible discovery-led teaching strategies using inductive methods with the related matters to be attended to.

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Application and Development of Teaching-Learning Plan for 'Sustainable Residence Created with Neighbor' ('이웃과 더불어 만드는 지속가능한 주거생활' 교수.학습 과정안 개발 및 적용)

  • Park, Mi-Ra;Cho, Jae-Soon
    • Journal of Korean Home Economics Education Association
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    • v.22 no.3
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    • pp.1-18
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    • 2010
  • The purpose of this study was to develop a teaching-learning process plan for sustainable residing creating with neighbors and to apply it to the housing section of Technology-Home Economics according to the 2007 Revised Curriculum. Teachinglearning method solving practical problems was used for the teaching-learning process plans of 6-session lessons according to the ADDIE model. In the development stage, 17 activity materials and 15 teaching learning materials (6 reading texts, 6 moving pictures, 2 internet and 1 image materials) were developed. for the 6-session lessons, based on the stages of solving practical problems. The plans applied to the 3 classes of 8, 9, and 10th grade of the H. junior and senior high school in Myun district in Kyungbook during Sept. 1st to 14th, 2009. The results showed that students actively participated when the contents and materials were related to their own experience. The 6-session lessons about sustainable residing creating with neighbors was significantly increased the sense of community between before and after. Each of the 4 stages of the teachinglearning method solving practical problems were highly participated by the students. The satisfaction with the contents and methods of the 6-session lessons were evaluated over medium to somewhat higher levels. The practical activities to solve the community space and programs were got positive comments. Problem solving process and presentation and discussion were needed to learn more. Those results might support that the teachinglearning process plan this research developed. would be appropriate to the lessons for sustainable residing creating with neighbors.

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