• Communications of Mathematical Education
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• v.11
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• pp.403-414
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• 2001

공간 지각력의 개발 ${\cdot}$ 육성은 수학교육의 중요한 목표들 중의 하나이지만, 중등학교 수학 교과서를 분석해 보면, 공간 도형에 대한 조작적 활동의 경험은 매우 빈약하다. 특히, 중학교에서는 1학년에서 공간도형의 계량적 측면에 중심을 두고 취급하고 있지만, 이를 통해 수학교육에서 추구하는 교육목표를 달성하기는 어렵다. 본 연구에서는 중학교 학생들이 공간 도형에 대해 다각적인 측면에서 분석적이고 조작적 활동을 경험하며, 이를 통해 공간 도형에 대한 상상력, 그리고 공간 도형에서의 추론 활동 경험을 제공할 수 있는 학습 자료를 개발하여 제시할 것이다.

• The Mathematical Education
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• v.58 no.3
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• pp.403-422
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• 2019

As the informal graph was introduced newly in the area of function in middle school mathematics curriculum revised in 2015, ten publishing company became to have a concern on how to represent the graph content uniquely and newly. At this time, it may be meaningful and useful to compare and analyze the content of the graph unit shown on each textbook published by publishing companies. To accomplish this, on fundamentally the basis of diverse prior researches this study tried to select the elements of expression and interpretation of the graph and establish an analytic frameworks of expression and interpretation of the graph respectively. This study executed the frequency analysis and cross analysis by textbook system, textbook, and the number of the graph drawn on a coordinate plane on the representation and interpretation of the graph. As a result, the textbook contains more items on interpretation than the representation of the graph, and students showed a learning effect on the graph unit but showed a neutral response to the impact of learning. This basic and essential paper shed light on developing the practical and more creative textbook which has diversity and characteristic respectively, while adjusting the scope of the elements of the graph's representations and interpretations and providing proper level and quality content.

• Journal of Educational Research in Mathematics
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• v.21 no.2
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• pp.135-148
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• 2011

Middle school mathematics treats axiom as mere fact verified by experiment or observation and doesn't mention it axiom. But axiom is very important to understand the difference between empirical verification and mathematical proof, intuitive geometry and deductive geometry, proof and nonproof. This study analysed textbooks and surveyed gifted students' conception of axiom. The results showed the problem and limitation of middle school mathematics on the treatment of axiom and proof.

• The Mathematical Education
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• v.58 no.1
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• pp.139-160
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• 2019

This study attempts to examine statistical tasks in the middle-school mathematics textbooks of Korea and Connected Mathematics 3 [CMP] of the US in terms of an opportunity-to-learn for statistical reasoning. We utilized an analytical framework consisting of types of context, statistical reasoning level, cognitive demand of the tasks, and types of student response. The findings from the task analysis suggested that Korean textbooks focused on finding answers by applying previously learned algorithms or formulas and thus provided students with very limited opportunities to experience statistical reasoning. Also, the results proposed that the mathematical tasks in statistics unit of CMP3 offer more essential and complex tasks that promote students' conceptual understanding of various statistical ideas and statistical reasoning in a meaningful way.

• Communications of Mathematical Education
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• v.8
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• pp.231-245
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• 1999

본 연구는 중학교 1학년 함수 학습을 위해 패턴 활동으로 구성된 함수 지도 프로그램을 개발하고, 개발한 프로그램을 적용한 실험 집단(85명)과 교과서를 적용한 비교 집단(85명)간의 함수 학습에서의 효과를 분석하였다. 함수 지도 프로그램은 학생들이 패턴 활동을 동해 함수적 사고를 기르며, 활동적으로 수업에 참여하여 수학에 대한 자신감과 실생활의 연계성을 가질 수 있도록 구성하였으며, 적용 결과, 수학 수준별 수업을 하는 상반에서는 유의미한 차이를 보였고, 중반에서는 유의미한 차이는 없었으나 수업 시간에 흥미가 매우 높았다는 긍정적 평가를 할 수 있다.

• Communications of Mathematical Education
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• v.33 no.2
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• pp.123-139
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• 2019

This study analyzed how problem-posing tasks included in Korean middle school mathematics textbooks were distributed in terms of content area, task type, and context of task to investigate that the mathematics textbooks are giving students ample opportunities for problem-posing activities. The analysis of 10 mathematics textbooks for first grade in middle school according to the revised mathematics curriculum in 2015 found that the problem-posing tasks contained in the textbooks are insufficient in quantity and not evenly distributed in terms of content areas. There were also more problem-posing tasks with relatively moderate constraints than those with strong or weak constraints in terms of mathematical constraints. In addition, there were more problem-posing tasks that were not requiring students to make a new context, and more often camouflage contexts were used. Based on this, implications for improving mathematics problem-posing tasks in mathematics textbook were suggested.

• Communications of Mathematical Education
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• v.29 no.3
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• pp.281-300
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• 2015

The purpose of this research is to analyze cognitive demands, answer types, and storytelling types on the basis of mathematical tasks in five different mathematics textbooks based on 2009 revised curriculum in order to suggest directions for the development and use of storytelling mathematics textbooks in school. Results show that first, PNC (Procedures without Connections) task was the largest category in cognitive demands of all mathematical tasks, Low-Level task was larger than others in cognitive demands of mathematical content tasks, and High-Level task was larger than others in cognitive demands of mathematical activity tasks. Second, a short-answer type was the largest category in answer types of all mathematical tasks, the majority of mathematical content tasks were a short-answer type, and the majority of mathematical activity tasks were both short-answer and explanation-answer types. Finally, storytelling connected to real-life was the largest category in storytelling types, and the number of mathematical activity tasks was less than that of mathematical content tasks. However, in the tasks reflected on storytelling, the percentage of mathematical activity tasks was higher than that of mathematical content tasks. Based on the results, while developing storytelling mathematics textbooks and using storytelling textbooks in school, it suggests to consider the need for balance and diversity in cognitive demands, answer types, and storytelling types according to mathematical tasks.

• Communications of Mathematical Education
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• v.27 no.3
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• pp.341-356
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• 2013

This research is about storytelling in middle school geometry. This study is basic research about actualizing mathematical teaching and learning based on storytelling that is raised for reforming school mathematics education. In order to develop the mathematics textbook model, development of procedures and methods were extracted from the literature. And mathematics textbook model were developed in accordance with the process and methods. Examples are presented in terms of the development of material with 'story as a communication tool', 'familiar story as a script' 'universality of the world or simulation of life as a story', 'story as a means to foster creativity: story making'. Through the results of this study, we are also able to check the possibility of storytelling in mathematics class. And this study will be the foundation for teaching and learning using storytelling.

• Education of Primary School Mathematics
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• v.22 no.1
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• pp.95-111
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• 2019

This study searched for the possibility of tangram activities through modifying the tasks of elementary school mathematics textbooks into content based open tasks. As a result of analyzing previous researches, it was confirmed the educational effect of the mathematical tasks transformation and the educational value of tangram activities. The analysis of the textbooks revealed that the tangram activities presented in the textbooks are likely to be at the level of play. It was tried to modify 2015 revised curriculum textbook-tasks into content based open tasks. Based on this study, it could be expected advantages of task modification such as improvement of teachers' expertise and expectation of diverse reactions of students.

• Communications of Mathematical Education
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• v.28 no.1
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• pp.65-79
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• 2014

The present study seeks to provide an easy path to differential perceptions of students at the upper high school level by applying a story telling method and also, characteristically, to earn some time for class discussion by reducing learning time for simple calculational procedure through Computer Algebra System(CAS) tools. This study offers a clear example of storytelling textbooks through Sage. Hence, the study aims at enabling students who have practiced contents with Sage tools to deal with diverse and complicated calculation problems, if they learn to build up mathematical formulas for those problems.