• Communications of Mathematical Education
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• v.32 no.4
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• pp.519-536
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• 2018

This study is intended to develop a numeracy program for late-adult learners. For this study, firstly, characteristics of numeracy were analyzed and based on those characteristics, numeracy learning contents for late-adult learners were selected. Also, teaching and learning materials were developed by linking the mathematics contents selected to experience-based real lives of late-adult learners. When this numeracy program was applied to late-adult learners, it was observed that there was a change in the affective domain like interest at the early stage of learning and that as learning continued, mathematical elaboration occurred by way of mathematical formalization. In conclusion, this study has significance by re-defining arithmetic for late-adults from a perspective of numeracy, based on experience of late-adults, and making a contribution to mathematical elaboration of late-adult learners so non-formal problem-solving processes of lat-adult learners can be justified as elaborate mathematical problem-solving.

• School Mathematics
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• v.5 no.1
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• pp.77-95
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• 2003

We have web-based online discussion to implement active interaction and a variety of communicative activities. I have gathered the following research questions to study about the meaning of web-based online discussion as a mathematical communication teaching method. First, what changes are there in students mathematical communication ability in web-based online discussion\ulcorner Second, how do students evaluate the web-based online discussion experience\ulcorner In this web-based online discussion, groups of middle school first grade 34 students and each group had chatting at 8 times for 10 weeks. I analyzed what they had discussed by the prints that they had sent me by e-mail. I also surveyed what they had experienced and analyzed them. In this research, the online web based discussion has given positive influence on students' competence of speaking, writing, reading and listening which are crucial to mathematical communication. Students' mathematic thinking power improved and attitudes to mathematics have become more positive.

• Proceedings of the Korean Information Science Society Conference
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• 2006.10a
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• pp.113-118
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• 2006

고등학교 수학과 교육과정에서의 ‘확률과 통계'단원은 실제로 자료의 수집과 요약을 통하여 자료 분석방법을 배우고 사회와 자연현상을 인식하고 추론하는 능력을 기르는데 목표를 두고 있다. 추상적인 수학내용을 직접 시도하거나 학생들이 실제적인 자료를 수집하고 직접 자료를 해석하고 추론해 보는 경험과정은 수학실험과 시뮬레이션이라는 컴퓨터 학습을 통해 가능하고 개념학습의 전 단계에서 보다 구성적이고 탐구적인 활동을 강화할 수 있다. 본 논문에서는 ‘확률과 통계'의 교수-학습과정에서 수학적 시뮬레이션을 활용한 웹 기반 학습모형을 제시하여 학습자들에게 수학적 내용과 관련된 구체적 매체를 조작하는 컴퓨터 실험 활동을 통하여 수학에서의 원리발견과 통계적 추론을 경험하고 유도할 수 있는 탐구적 학습 환경을 조성해 보고자 한다.

• Journal of Educational Research in Mathematics
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• v.15 no.4
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• pp.461-488
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• 2005

This article presents new perspectives for classification of students' mathematical errors on the basis of experiential structuralism. Experiential structuralism's mechanism gives us new insights on mathematical errors. The hard core of mechanism is consist of 6 autonomous capacity spheres that are responsible for the representation and processing of different reality domains. There are specific forces that are responsible for this organization of mind. There are expressed in terms of a set of five organizational principles. Classification of mathematical errors is ascribed by the theory to the interaction between the 6 autonomous capacity spheres. Different types of classification require different autonomous capacity spheres. We can classify mathematical errors in the domain of linear function problem solving comparing cognitive psychological mechanism of experiential structuralism.

• Proceedings of the Korean Information Science Society Conference
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• 2001.04b
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• pp.664-666
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• 2001

학생들에게 흥미와 관심을 가지게 하면서 수학수업을 효과적으로 할 수 있는 방법론에 대한문제는 수학교육의 관심사중 하나이다. 그러나 실상 교사들이 현장에서 쉽게 이행할 수 있는 학습자료의 개발이나 그 활용은 미진한 상태이다. 본 연구에서는 아동들의 발달수준에 맞는 적절한 경험을 제공하여야 한다는 입장엣 수학적 힘을 기르기 위해 수준별, 개인별 수학학습에 바탕을 두고 학습자 중심의 학습능력을 키울 수 있는 웹 기반 게임형 초등 수학 학습 프로그램을 개발한다. 이 시스템은 학습자 진단평가로 학습자 수준을 판단한 다음 단계로 수준 결과에 따라 Story 학습을 통하여 단계별 학습내용의 기본원리를 설명한다. 그 다음에는 story학습에서 배운 기본원리를 응용하여 학습할 수 있도록 설계된 게임학습을 하게 함으로써 학습자는 능동적인 학습참여와 다양한 수학적 사고를 육성시킬 수 있고, 보다 쉽게 학습목표에 도달할 수 있다.

• Journal of the Korean School Mathematics Society
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• v.9 no.1
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• pp.57-76
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• 2006

In this paper, we generalized number partion problems in elementary situations to number partition models that provide some mathematical problem situations for experiencing mathematising of secondary pre-service teachers. We designed substantial teaching units entitled 'the inquiry intof number partition models' through 4 steps: (1) key problems, (2) integration from the view of partition, (3) defining partition (4) a real practice of inquiry into models. This teaching unit can contribute to secondary pre-service teacher education as follows: first, This teaching unit have pre-service teachers experience mathemtising. second, This teaching unit have pre-service teachers see the connection between school mathematics and academic mathematics. third, This teaching unit have pre-service teachers foster their mathematical creativity.

• Communications of Mathematical Education
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• v.33 no.3
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• pp.231-254
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• 2019

As the teacher-centered education is transformed into learning-centered education, the active knowledge construction of learner becomes important. Along with this change, project-based learning is receiving attention. However, there are many problems to apply the results of research to pre-service teachers because most of the previous studies have focused on elementary middle high school students. Therefore, this study examined the changes in perceptions of pre-service mathematics teachers while project-based learning progressed for one year. Pre-service mathematics teachers had less experience with project-based learning than group discussions, group activities. Also their perceptions was classified as five factors: 'Instructional effects', 'Application and participant of project-based learning', 'Achievement', 'Diffusion of project-based learning', 'Student motivation'. Pre-service mathematics teachers responded positive changes in perception that project-based learning could be motivated to students but they responded negative changes in perception that project-based learning could be distributed to school. They responded positive changes in perception that teachers can show their achievements by project-based learning but they responded negative change in perception that teachers would be fun to apply project-based learning. Also, they responded positive changes in perception that teachers and students were easy to apply or utilize project-based learning.

• School Mathematics
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• v.12 no.4
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• pp.563-584
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• 2010

This study is aimed at analysing the mathematical thinking processes based on image by the mathematically gifted. For this, the 'Splitting a Tetrahedron' Task was used and mathematical thinking of the two middle school students were investigated. One of them deduced how many tetrahedral and octahedral were there when a tetrahedra was splitted by the surfaces which were parallel to each face of the tetrahedra without using any physical material. The other one solved the task using physical material and invented new images. A concrete image, indexical image and symbolic image were founded and the various roles of images could be confirmed.

• The Journal of Korean Association of Computer Education
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• v.19 no.3
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• pp.21-34
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• 2016

This study aims to develop user experience based mathematical program for self-directed learning. To meet its aim this program is designed and developed according to the process and method of 'ADDIE', general design model of education program. The features of this program are as follows. First, teacher can set questions conveniently through intuitive system of web and learner can solve questions at anytime and anywhere through instant access to application. Second, learner can solve different types of questions based on powerful question database and teacher can provide instantaneous feedback on them. Third, learner's circulation learning can be possible by utilizing paper-video explanation and wrong answer note and teacher supports learner's active learning management though group achievement management.

• Communications of Mathematical Education
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• v.36 no.3
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• pp.439-467
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• 2022

The future society requires not only knowledge but also various competencies, including creativity, cooperative spirit and integrated thinking. This research develops a program for integrating mathematics and information science to enhance important mathematical competencies such as problem-solving and communication. This program does not require much prior knowledge, can be motivated using everyday language and easy-to-access tools, and is based on creative problem-solving activities with multilateral cooperation. The usefulness and rigor of mathematics are emphasized as the number of participants increases in the activities, and theoretical principles stem from the matrix theory over finite fields. Moreover, the activity highlights a connection with error-correcting codes, an important topic in information science. We expect that the real-world contexts of this program contribute to enhancing mathematical communication competence and providing an opportunity to experience the values of mathematics and that this program to be accessible to teachers since coding is not included.