• Journal of Educational Research in Mathematics
• /
• v.21 no.4
• /
• pp.345-359
• /
• 2011

In this research, we designed an educational activities of exploring mathematics programs in a course of mathematics education in teacher's college. We divided future mathematics teachers into 8 groups and suggested 8 mathematics programs to them. Each group explored one mathematics program. We asked to future mathematics teachers exploring some cases that use effectively a mathematics program in the teaching of school mathematics. In the process of an exploring, we designed some activities of teaching and learning. We provided opportunities of long-term exploration, group learning, presentations, exercises, reflections to mathematics teachers. As a result, future mathematics teachers acquired basic knowledge on the usage of mathematics programs in school mathematics textbook. In addition, their capabilities that are needed to explore mathematics programs have been enhanced. Also they had learned the teacher's positive attitude through the activities of teaching and learning.

• 한국정보교육학회:학술대회논문집
• /
• 2008.01a
• /
• pp.198-205
• /
• 2008

오늘날과 같은 지식 정보화 사회는 지식과 정보를 기초로 한 사회활동이 주를 이루고 있다. 그래서 교육현장에서도 학습자는 컴퓨터를 이용하여 정보를 수집하고 처리하는 정보의 주체로 인식되어지고 있다. 특히 수학 교과 내용 중 도형 영역은 컴퓨터를 이용하여 다양한 시각적 경험과 탐구 기회를 제공하는 것이 매우 중요하다. 이를 실현하기 위한 방법으로써 여러 가지 방법이 있지만, 본 논문에서는 Sketchup이라는 상용 소프트웨어를 활용하여 도형 영역에 적용시켜 활용하는 방안에 대해 연구하였다. 학생들이 수학을 재미있고 쉽게 생각할 수 있는 방안을 내세우기란 쉽지 않지만, 이 연구의 결과로부터 수학과목의 도형영역에 대한 수학적 사고력과 성취도를 높이고 Sketchup과 같은 탐구형 소프트웨어의 효과적 활용 방안을 마련하고, 이를 통해 수학에 대한 긍정적인 인식을 마련할 수 있는 기틀이 되고자 한다.

• School Mathematics
• /
• v.19 no.2
• /
• pp.319-343
• /
• 2017

In this study, we hope to reveal specialized content knowledge(SCK) and its features necessary to analyze student's errors and difficulties about the concept of irrational numbers. The instruments and interview were administered to 3 in-service mathematics teachers with various education background and teaching experiments. The results of this study are as follows. First, specialized content knowledge(SCK) were characterized by the fixation to symbolic representation like roots when they analyzed the concentration and overlooking of the representations of irrational numbers. Secondly, we observed the centralization tendency on symbolic representation and the little attention to other representations as the standard of judgment about irrational numbers. Thirdly, In-service teachers were influenced by content of students' error when they analyzed the error and difficulties of students. Lately, we confirmed that the content knowledge about the viewpoint of procept and actual infinity of irrational numbers are most important during the analyzing process.

• School Mathematics
• /
• v.14 no.4
• /
• pp.579-598
• /
• 2012

Since elementary school students are in the concrete operational stages, they have to learn mathematics using intuitive methods. So teachers have to have knowledge on the intuition. In this paper we investigated specialized content knowledge on the intuition which have 8 elementary school teachers in problem solving process. They were asked to solve 8 problems in the questionnaire which were provided by the www.mathlove.net. As a result we found that 7 elementary school teachers have a lack of understand on the intuition in problem solving process.

• Communications of Mathematical Education
• /
• v.13 no.2
• /
• pp.717-727
• /
• 2002

최근 Ma에 의한 한 연구는 국 ${\cdot}$ 내 외에서 상당한 관심을 불러일으키고 있다. 미국의 수학교육, 특히 초등 수학 교육 현장의 근본적인 문제점을 명확히 지적했기 때문일 것이다. 본 글에서는 그의 연구를 개략적으로 소개한다. 특히, 그의 연구로부터 교사의 교과 내용에 관한 정확한 이해와 지식이 얼마나 중요한지 주목하여, 우리 나라의 수학교육에 관한 시사점을 교사 교육과 교사 재교육 등의 측면에서 도출한다.

• Communications of Mathematical Education
• /
• v.32 no.4
• /
• pp.455-475
• /
• 2018

The purpose of this study is to investigate characteristics of pre-service teachers' cognition about learning through the use of technology by employing a teacher education program in the use of technology-friendly flipped classroom. For this purpose, 45 pre-service teachers participated in the study and they completed both pre- and post-surveys including questions about Technology Adopter Category Index(TACI) and Technological Pedagogical Content Knowledge(TPACK). They were also asked to write self-reflections on mathematics softwares(Geometer's Sketch Pad(GSP), Geogebra, Cabri 3D). Results show that the teacher education program in the use of technology-friendly flipped classroom affected pre-service teachers' cognitions of TACI and TPACK, and they perceived that technology integration helped students' mathematics learning process. Findings from this study indicate that ideas about how to develop a technology-friendly teacher education program are more specified..

• Korean Journal of Comparative Education
• /
• v.28 no.3
• /
• pp.333-354
• /
• 2018

The study aimed to compare and analyze Nuri curriculum and contents for mathematics in Korea and the Common Core State Standards(CCSS) and New Jersey Preschool Standards for mathematics in the United States. With the results as basis, this study intended to provide suggestions and directions for improving Nuri curriculum of mathematics for young children. For the goal of this study, educational goals, categories of contents, and specific contents were reviewed. First, results of this study indicated that Nuri curriculum for mathematics provides comprehensive educational goals that promote problem-solving ability in everyday contexts with composing mathematical knowledge. On the contrary, CCSS and Preschool Standards provide specific educational goals that focus on children's mathematical skills and concepts. Second, the contents of both countries' curriculum concentrate on 'counting and cardinality', 'measurement', and 'spatial and geometric sense.' There are 5 categories of CCSS, 4 categories of Preschool Standards based on CCSS and one category of Nuri curriculum for mathematics. Third, there are the differences between the two countries' curriculum in continuity from kindergarten to first grade and description method for curriculum.

• Journal of Educational Research in Mathematics
• /
• v.22 no.2
• /
• pp.179-202
• /
• 2012

To implement effective technology-based education, we need knowledge for functional aspects of technology as well as design and procedural aspects of curriculums. Also, we need positive teaching efficacy. In this regard, we investigate the effects on teachers' TPACK and technology teaching efficacy on mathematics after make the teachers design and teach technology-based classes according to the ASSURE model which is suitable in designing technology-based educations. First, we let the teachers design and teach two unit hour classes. The first class had been done with the teachers learned functional aspects of technologybased educations, and the second one with them designed based on the steps in the ASSURE model. To analyze the effects of ASSURE model, we have performed a case-study for one teacher who had taken part in our college class. As a result, we conclude that the teacher's experiences in designing classes based on the ASSURE model help improve the teacher's TPACK and technology teaching efficacy on mathematics in a positive way.

• Communications of Mathematical Education
• /
• v.10
• /
• pp.97-106
• /
• 2000

학습의 도구로써 컴퓨터의 활용은 학습 내용뿐만 아니라 수학적 지식의 획득 과정에 있어서도 변화를 시도하고 있다. 특히 물리적인 환경에서 시 ${\cdot}$ 공간적인 제약으로 인한 구체적 조작활동을 한계성을 극복하기 위해 개발된 기하학습 소프트웨어인 GSP와 Cabri-Geometry II는 새로운 관점에서의 기하학습을 가능케 한다. 본고에서는 기하학습의 도구로써 컴퓨터의 역할과 GSP의 기능적 특성 및 초등학교 수학교수 ${\cdot}$ 학습과정에서 GSP의 활용할 수 있는 방안에 대해서 살펴본다.

• Journal of the Korean School Mathematics Society
• /
• v.12 no.1
• /
• pp.131-149
• /
• 2009

A study on comprehension level of mathematical basic knowledge(MBK) of gifted students in middle school. The interest in mathematics gifted education is very high. However, in reality, there has been a shortage of the analysis of students' achievement result since mathematics gifted education began through the institute of gifted education in the education office in 2003. On this study, MBK is subdivided into definition, property and procedure and then examination questions arc developed on the basis of national level achievement standard. With these examination tools, total inspection was conducted in on metropolitan city and the result was analyzed. First, in a basic definition, relatively low achievement result was seen except the basic concept related operation. Second, in a basic property, very low achievement result was seen in the questions of basic property without basic definition and as a whole, the result was similar with the basic definition. Third, in basic procedure, the achievement result was very remarkable. This result shows we need tn increase the comprehension ability of MBK. To do this, the systematic alternative development of the questions of selecting gifted students and the contents of gifted education is required. This study proposes the meaningful implication to the selection question development related to the MBK and the improvement of gifted education contents. And it is expected to provide the positive change for mathematics gifted education.