• Journal of Science Education
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• v.41 no.2
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• pp.248-266
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• 2017

The purpose of this study is to present various examples of collaborative learning based on the Instruction of Internet in the 6th grade elementary school mathematics class. So we introduce the design method of classroom environment for classroom Internet and give example of various teaching methods. This study was conducted for nine months from March to November, 2016, one sixth grade of elementary school in D area. During this period, we conducted Instruction of Internet-based collaborative learning to classify typical teaching cases. We classified into 5 type collaborative learning. First, collaborative learning in the classroom. Second, remote collaborative learning between classroom and classroom. Third, Live participation classes. Forth, project collaborative learning. Fifth, using virtual reality in collaborative learning. In addition, we could identify that there is a difference compared to the conventional learning. It became possible to conduct collaborative learning with other students simultaneously or have opening class with both parents and teachers by using Youtube. These examples can be presented as a case to depart from traditional mathematics class in one classroom. In this regard, we will be able to provide several implications about teaching methods utilizing smart device and Internet in future classroom.

• Communications of Mathematical Education
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• v.15
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• pp.207-214
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• 2003

수학교육에서 학생들이 학습을 통하여 습득하여할 중요한 주제는 수학 지식과 수학을 다루는 인지적 조작 기술일 것이다. 특히 수학지식과 지식의 활용은 문제해결을 통한 학습에서 의미 있게 학생에게 나타나며 이를 통하여 수학 학습 동기를 강화하고 수학의 가치를 느끼게 한다는 점에서 중요한 의의를 갖는다. 대학수준의 수학교육과정에서도 문제해결은 중요한 수학교육의 중심 수단으로서 목적으로서 선언되어 있지만 실제 수업에서 잘 다루고 있지 못하다. 문제해결 지도에 대한 접근 방식으로 1950년대의 문제해결전략을 다룬 Polya, 1990년대의 메타인지적 접근을 강조한 Schoenfeld 및 최근의 여러 연구자들의 활발한 연구가 이어지고 있다. 본 논문에서 대학 수준의 문제해결 수업의 접근 방법을 소개함으로 문제해결 수업을 구현할 수 있는 지식을 제공한다. 특히 Schoenfeld의 문제해결 수업 모델은 수학 교육의 교실 수업으로의 구현 측면에서 갖는 다양한 함의를 제시한다.

• Journal for History of Mathematics
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• v.24 no.4
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• pp.119-141
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• 2011

This paper analysed the mathematical paradoxes which would be based in the probability and statistics. Teachers need to endeavor various data in order to lead student's interest. This paper says mathematical paradoxes in mathematics education makes student have interest and concern when they study mathematics. So, teachers will recognize the need and efficiency of class for using mathematical Paradoxes, students will be promoted to study mathematics by having interest and concern. These study can show the value of paradoxes in the concept of probability and statistics, and illuminate the concept being taught in classroom. Consequently, mathematical paradoxes in mathematics education can be used efficient studying tool.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.523-545
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• 2010

Mathematical communication has been emphasized not only as the process of learning mathematics but also as the objective of mathematics education. However, little studies have been conducted with regard to what to consider and how to implement in the actual classroom for promoting mathematical communication. Given this background, this paper implemented a mathematics instruction in each of 2nd, 4th, and 6th grade classrooms in which specific learning objectives were considered to promote discourse-based mathematical communication. It then analyzed the degree by which such learning objectives were achieved and the linguistic interactions between the teacher and students in each classroom. This paper finally provided issues and suggestions for effective discourse-based instruction in mathematics classroom by analyzing similarities and differences among the three classrooms.

• Journal of Educational Research in Mathematics
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• v.27 no.2
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• pp.313-328
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• 2017

This study aims to identify prospective elementary school teachers' perception of mathematical modeling in elementary class. Forty elementary school teachers participated in this study. Each teacher analysed the previous case studies about mathematical modeling in elementary class, developed a hypothetical learning trajectory, applied the hypothetical learning trajectory to his/her class, reflected students' learning and his/her teaching, and made reflective journals. These journals contained teachers' perception of mathematical modeling and the difficulties that teachers experienced in teaching mathematics as mathematical modeling. These journals were analyzed to identify teachers' perception of mathematical modeling in elementary class. This study shows that teachers have common features of mathematical modeling but their perspectives are little bit different, are classified into four kinds. And the difficulties that teachers experienced in teaching mathematics as mathematical modeling are classified into 5 categories; Task, Students' cognitive demand, Teacher' monitering, All students' participation, and Classroom culture. At last, suggestions for mathematical modeling in elementary class are done according to the result of this study.

• Communications of Mathematical Education
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• v.14
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• pp.71-83
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• 2001

교사가 효과적으로 수업을 하려면 계속해서 개선을 해야 한다. 교사들이 자신의 수업을 계속해서 반성함으로써, 또한 교수와 학습에 대한 지식이 변함에 따라 수업이 변하고 발전한다. 따라서 이상적인 교사는 꾸준히 변하는 교사이다. 이러한 교사역할에서의 변화가 요구되는 합의가 암묵적으로 이루어지고 있으므로, 교사의 역할을 인지적 관점과 사회적 관점으로 나누어 살펴보고, 교사교육을 실행공동체에서의 참여의 변화과정으로 개념화하여, 교사교육 프로그램의 방향과 효과에 대하여 알아본다. 이에 따른 바람직한 교사의 변화 방향을 탐색하여 수학 교실 향상에 대한 앞으로의 시사점을 얻는 것이 이 논문의 목적이다.

• Communications of Mathematical Education
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• v.18 no.1 s.18
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• pp.297-308
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• 2004

본 연구에서는 먼저, 수학교사에게 필요한 지식으로 교과, 학생, 교수학적 내용 지식이 필요함을 문헌을 통해 정리하였다. 교사의 지식과 수업 실제에 관한 세 편의 논문을 분석한 결과 교사의 수학에 대한 충분한 이해가 학생의 학습과 효과적인 교수에 절대적인 영향을 미친다고 주장할 수 없음을 알 수 있었다. 그러나 수학에 대한 바른 이해는 학생의 질문에 적절한 반응을 할 수 있도록 하며, 수업을 계획하고 교실에서 이루어지는 담화를 수학적으로 원활하게 조절할 수 있도록 도움을 줄 수도 있었다. 따라서 수학을 잘 아는 것이 효과적인 교수·학습을 보장하지는 못하지만, 교사가 잘 알지 못하는 것을 가르칠 수는 없다는 결론을 얻었다.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.1
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• pp.1-22
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• 2010

The purpose of this study was to examine the relationship between teacher's role and interaction patterns in mathematics classrooms. Teacher's role was divided into usual practices with students, usual practices with content and usual practices with students and contents, and interaction patterns were classified into report, inquiry and discussion. The subjects in this study were teachers and students in three fourth- grade classes in T elementary school located in Seoul. After the classes of every math teacher were observed, three teachers who played distinctively unique roles were selected in accordance with the results of the first-semester autonomous supervision, of open class for parents and of the instructional observation. Thus, there was a close relationship between the teacher roles and interaction patterns. And it's concluded that students are able to have a more discussion on each other's ideas in the student-centered classroom, and that teachers should perform active roles in that process. Given the findings of the study, there are some suggestions: First, the teachers appeared to fulfill consistent roles when their videotaped classes, study aids and performance assessment materials were analyzed, and they should play more active roles in mathematics class. Second, they should try to create the kinds of climate that encourages students to come up with ideas in an active manner. Third, earlier studies had focused on student-teacher interaction patterns, but this study found that the roles of the teachers depended on interaction with not only students but study aids and performance assessment materials, and that the interaction patterns hinged on their roles as well. Therefore more profound research efforts should be directed into this issue.

• Journal of Educational Research in Mathematics
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• v.24 no.1
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• pp.29-44
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• 2014

The newly revised mathematics curriculum in 2009 mentioned the mathematics specified classroom. All schools in the secondary school will implement Mathmatics Subject Class System by 2014. Expecing to extend the mathematics specified classroom to the elementary school, this study explores the direction how to configurate and use it. On the ground of previous research on mathematics laboratory and mathematics subject class system, this study makes questionnaire and survey recognition and opinions about mathematics room in the elementary school with elementary school teachers. Based on the result of analysis of questionnaire, this study suggests math cultural experience room, room for mathematical recreation, mathematics specified classroom as the main functions of elementary mathematics room, and utilization of mathematics room to perform such functions. This study provides suggestions about elementary mathematics room differentiated from mathematics subject class system in the secondary school.

• Journal of Educational Research in Mathematics
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• v.23 no.3
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• pp.373-388
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• 2013

This paper is to investigate how two elementary school teacher's belief mathematics as educational content, and teaching and learning mathematics as a part of educational methodology, and what the two teachers believe towards gifted children and their education, and what the classes demonstrate and its effects on the sociomathematical norms. To investigate this matter, the study has been conducted with two teachers who have long years of experience in teaching gifted children, but fall into different belief categories. The results of the study show that teacher A falls into the following category: the essentiality of mathematics as 'traditional', teaching mathematics as 'blended', and learning mathematics as 'traditional'. In addition, teacher A views mathematically gifted children as autonomous researchers with low achievement and believes that the teacher is a learning assistant. On the other hand, teacher B falls into the following category: the essentiality of mathematics as 'non-traditional', teaching mathematics as 'non-traditional, and learning mathematics as 'non-traditional.' Also, teacher B views mathematically gifted children as autonomous researchers with high achievement and believes that the teacher is a learning guide. In the teacher A's class for gifted elementary school students, problem solving rule and the answers were considered as important factors and sociomathematical norms that valued difficult arithmetic operation were demonstrated However, in the teacher B's class for gifted elementary school students, sociomathematical norms that valued the process of problem solving, mathematical explanations and justification more than the answers were demonstrated. Based on the results, the implications regarding the education of mathematically gifted students were investigated.