• Title/Summary/Keyword: 수학 학습지도

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공간감각 형성을 위한 조작활동의 지도 방안

  • Kim, Chang-Il;Kim, Sin-Jwa
    • Communications of Mathematical Education
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    • v.13 no.1
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    • pp.183-192
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    • 2002
  • 자기 주위의 상황과 그 물체에 대한 직감(intutive feeling)을 뜻하는 공간감각은 수학교육의 기본적인 구성요소로서, 수학과 과학에서 다른 영역을 공부하기 위한 도구로 사용될 수 있고, 주위의 구조와 대칭성을 볼 수 있게 도우며, 모든 수학에서 창의적 사고를 지원한다. 우리나라에서도 2000학년도부터 연차적으로 실시되는 제 7차 수학과 교육과정의 도형여역에 ‘공간감각 기르기’를 신설하여 그 중요성을 강조하였다. 따라서, 본 논문에서는 미국의 공간감각 지도의 변천과 우리나라 제 7차 교육과정의 공간감각 영역의 학습 내용을 비교, 우리나라 7차 교육과정의 공간감각영역의 학습내용을 살피고, 현행 7차 교육과정에 의거 초등학교 2학년의 공간감각 영역의 교수 ${\cdot}$ 학습과정을 실제 적용, 이후 아동의 학습 추이를 살펴봄으로써, 앞으로 우리나라 초등학교 아동의 공간감각 형성을 위한 여러 가지 지도방법을 제시하고자 한다. 결론 및 제언에서는 이러한 수업으로 얻어진 결과를 토대로 하여 제 7차 교육과정에서 공간감각 영역의 적용에 대한 시사점을 몇 가지 기술하였다.

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Effects of Teaching Communication with Small Group Cooperative learning on Mathematics Learning Abilities (소집단 협동 학습을 통한 의사 소통 지도가 수학 학습 능력에 미치는 효과)

  • Kim Yun Hee;Kim Seon-Yu
    • Journal of Elementary Mathematics Education in Korea
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    • v.6 no.1
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    • pp.77-96
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    • 2002
  • This study aims at checking up influences imposed on mathematics learning abilities in communication teaching through small group leaning for the sixth grade pupils of elementary schools. Results obtained through the study are as follow: The communication teaching through small group cooperative learning showed an affirmative reaction in terms of mathematics learning achievement degree and mathematical tendency. However, the pupils of the lower group showed a meager effect in terms of mathematics learning achievement degree. It means that such an effect is required to a sustained teaching for a long time by teachers.

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An analysis of the educative features of mathematics teacher guidebooks for grades 3 and 4 (초등학교 3~4학년군 수학 교사용 지도서의 교육적 특징 분석)

  • Pang, JeongSuk;Oh, MinYoung;Park, Yejin
    • The Mathematical Education
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    • v.62 no.4
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    • pp.531-549
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    • 2023
  • Despite the significance of mathematics teacher guidebooks as a support for teacher learning, there are few studies that address how elementary mathematics teacher guidebooks support teacher learning. The purpose of this study was to analyze the educative features of elementary mathematics teacher guidebooks for grades 3 and 4. For this, six units from each of ten kinds of teacher guidebooks were analyzed in terms of seven dimensions of Teacher Learning Opportunities in Korean Mathematics Curriculum Materials (TLO-KMath). The results of this study showed that mathematics content knowledge for teaching was richly provided and well organized. Teacher guidebooks provided teacher knowledge to anticipate and understand student errors and misconceptions, but were not enough. Sample dialogues between a teacher and students were offered in the teacher guidebooks, making it easier for teachers to identify the overall lesson flow and key points of classroom discourse. Formative assessment was emphasized in the teacher guidebooks, including lesson-specific student responses and their concomitant feedback examples per main activity. Supplementary activities and worksheets were provided, but it lacked rationales for differentiated instruction in mathematics. Teacher knowledge of manipulative materials and technology use in mathematics was provided only in specific units and was generally insufficient. Teacher knowledge in building a mathematical community was mainly provided in terms of mathematical competency, mathematical classroom culture, and motivation. This paper finally presented implications for improving teacher guidebooks to actively support teacher learning.

A Study on the Effectiveness of Mathematics-Learning Theory (수학학습 이론의 효과 고찰)

  • Park, Mi-Hyang;Park, Sung-Taek
    • Journal of Elementary Mathematics Education in Korea
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    • v.10 no.2
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    • pp.151-169
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    • 2006
  • This study is to adjust the Theory in the Mathematics Education, apply it to learning mathematics and to analyse its effectiveness. The results of the study are summarized as follows. First, because learning mathematics is hierarchical, teachers must make and use a task analysis table classified by units. Second, development age and the retention of mathematics concepts are intimately associated with cognitive development theory. Third, learning mathematics through cognitive processes enhances a student's scholastic achievement. Fourth, students interests and self-confidence can be enhanced through the presentation of both examples and non-examples. We cannot understand the higher-order concepts of mathematics by only its definitions. The only way of understanding such concepts is to have experience through suitable examples.

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An Analysis of the Effects of Teaching Mathematics Underachievers by the Principles of Cognitively Guided Instruction (인지적으로 안내된 교수 원리를 적용한 수학학습부진아 지도 효과 분석)

  • Kim, Ji-Hye;Oh, Young-Youl
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.789-806
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    • 2010
  • As calls for more attention toward social minority group increases in our society recently, in the field of mathematics education more attention toward an issue about mathematics underachievers is being amplified. Thus, the present study is to examine the effects of teaching method considering students' cognitive characteristics on mathematical underachievers' problem solving and mathematical disposition. For this study, 10 fifth graders identified as mathematical underachievers based on the results of the national level diagnosis assessment and school based assessment were voluntarily selected from an elementary school in Seoul. The results of this study found out the fact that students participating in this program improved in terms of an ability both to solve problems in various ways and to explain an process of problem solving using spoken or written language and drawings. In addition, learning environment respecting students' own mathematical ideas seems to positively influence students' attitudes toward mathematics learning and mathematical dispositions. Furthermore, this study pointed out that mathematical underachievers tend to have difficulty in expressing their own mathematical thinking by reason of linguistic limitation. Finally, the findings of this study imply that for effective teaching of mathematics underachievers, these students' own informal experience and knowledge about mathematics as well as their characteristics regarding learning difficulties should be strongly considered.

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Improvement of teaching-learning methods for general mathematics education courses - Focused on Basic Calculus - (교양수학 교과목에 대한 교수-학습지도 개선 방안 - 기초미적분학 교과목을 중심으로 -)

  • Pyo, Yong-Soo;Cho, Sung-Jin;Jeong, Jin-Mun;Park, Jin-Han
    • Communications of Mathematical Education
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    • v.23 no.3
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    • pp.823-848
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    • 2009
  • In this paper, we try to find improved solutions for problems with general mathematics education courses. We suggest effective management strategies and teaching-learning methods by level-based classes with utilizing students survey and scholastic level assessment, and management of Mathematics Cafe and its homepage, and also setting example classes for assignments on the Webwork system and evaluating the class.

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Teaching the Comprehension of Word Problems through Their Mathematical Structure in Elementary School Mathematics (초등수학에서 문장제의 수학적 구조 파악을 통한 문장제 이해 지도 방안)

  • Ra, Woo-Seong;Paik, Suck-Yoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.13 no.2
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    • pp.247-268
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    • 2009
  • The purpose of this study was to examine the mathematical components of word problems and the structure of the components, to examine the characteristics of the understanding of mathematics high achievers about word problems, and ultimately to devise a teaching method geared toward facilitating learner understanding of the word problems. Given the findings of the study, the following conclusion was reached: First, word problems could be categorized according to their mathematical components, namely the mathematical structure of multiple variables provided to learners for their problem solving. And learner's reaction might hinge on the type of word problems. Second, the mathematics high achievers relied on diverse strategies to understand the mathematical components of word problems to solve the problems. The use of diverse strategies made it possible for them to succeed in problem solving. Third, identifying the characteristics of the understanding of the mathematics high achievers about word problems made it possible to layout successful lesson plans that stressed understanding of the mathematical structure of word problems. And the teaching plans enabled the learners to get a better understanding of the given word problems.

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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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