• Journal for History of Mathematics
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• v.20 no.4
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• pp.153-174
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• 2007

The concept of Function is not just a single concept but an integrated concept that includes various mathematic topics such as arithmetics, geometry and so on. Therefore, the concept of function is the basic principal underlying mathematics. Moreover, we should think of function as conceptual expedient for understanding the phenomena in the variously changing real world. Therefore in this article, I would like to consider the concept of an integrated function through historical investigation. Especially, from the middle ages to the 19th century, representation which related to the function has been evolved, and therefore, I will consider function as an integrated concept through changing the concept of function.

• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.857-888
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• 2017

Due to globalization, diversification, and informatization, modern society confronts change and crisis in a variety of areas such as economy, politics, and culture. In that context, mathematics educators seek for how to reform school mathematics for democratic and just society. This research proposes critical mathematics education as an alternative model of school mathematics for democratic society. In particular, this research is an explorative study to construct a model of critical mathematics education program. For the purpose, we conducted a comprehensive literature review to identify goals, contents, and methods of teaching and learning, and method of assessment for critical mathematics education. We checked the validity of the model by using the cases of critical mathematics education. Since this research is explorative in the regard that the model is based on theoretical literatures, further research is necessary to extend the model through design research in school context.

• Education of Primary School Mathematics
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• v.21 no.1
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• pp.39-53
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• 2018

Most of the studies of mathematics so far have found positive changes in the effectiveness of the academic achievements of academic achievement, as well as positive changes in the effectiveness of academic achievement or attitudes or attitudes towards mathematics. The purpose of this study was to investigate the achievement criteria for the use of the teaching aids and to present the teaching aids and the methods for teaching the learning contents appropriate to the achievement standards. Specifically, it finds the achievement standard suitable for the learning contents instruction course of the textbooks of the elementary school 1st and 2nd graders, finds the available diocese in the standard diocese for the math class, and investigates the diocese in use in the present textbook.

• Communications of Mathematical Education
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• v.12
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• pp.103-124
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• 2001

수학은 계통성이 강한 학문이다. 이러한 수학의 특성은 학습의 결손이 있거나 학습속도가 느린 학생들에게 수학을 학습하는 데 어려움의 근원이 된다. 특히 중학교 수학에서는 처음으로 형식적인 수학이 도입되기 때문에, 중학교 1학년에서 수학을 제대로 이해하지 못할 경우 그 학생은 수학 장애아, 수학부진아로 전락할 가능성이 있다. 그러나 학교에서의 개별지도는 어려운 실정이다. 따라서 수학 부진아를 선정하여 수학학습에서의 어려움을 진단하고, 학생의 오개념과 오류를 분석한 후, 그 학생에게 맞는 학습전략을 선택하여 처방 지도하고자 한다. 이를 통해 학생의 이해와 사고과정을 알아보고 태도변화를 고찰하는 것을 목적으로 한다.

• Journal of the Korean School Mathematics Society
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• v.15 no.3
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• pp.395-410
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• 2012

When planning lessons and developing materials about mathematical teaching and learning, we should condignly change and reconstruct contents and orders in light of ranks and connections between subject materials. Moreover teachers should teach mathematical concepts so that students might understand then not only independently and disjunctively but also relationally and reflectively. For this, teachers have to prepare thoroughly. By analyzing advanced research for mathematical connections, this study categorizes them according to two conditions: internal-external and content-formality. Through this, tactical aspect similarity and indistinguishability between mathematical external connections and mathematical internal connections have been identified. Based upon this fact, this study proposed the principles and the examples of tactical aspect on mathematical Internal Connetions.

• Communications of Mathematical Education
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• v.13 no.1
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• pp.129-160
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• 2002

대학수학 수업에서 틈틈이 유아 교육과 유아 수학교육에 관한 기본적인 내용을 대학수학(미분적분학의 이해, 생활과 수학) 수업 내용과 관련이 있는 경우 설명을 하여주고, 놀이를 통한 유아 교육과 유아 수학교육 과제(216가지, 105가지)를 각각 한 가지씩 내어준 다음 과제들에 대해 직접 실습을 하고 그 결과를 보고서 형태로 제출하도록 하였다. 그리고 유아 수학교육과 대학수학에 대한 태도가 변화되었는가를 유아 수학교육 기초 조사를 통하여 조사하여 알아보고 분석하였다.

• Journal of Educational Research in Mathematics
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• v.22 no.3
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• pp.331-352
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• 2012

The purpose of the study is to verify what cognitive variables have significant effect on proportional problem solving. For this aim, the study classified proportional problem into well-structured, moderately-structured, ill-structured problem by the level of structuredness, then classified the cognitive variables as well into factual algorithm knowledge, conceptual knowledge, knowledge of problem type, quantity change recognition and meta-cognition(meta-regulation and meta-knowledge). Then, it verified what cognitive variables have significant effects on 6th graders' proportional problem solving abilities through multiple regression analysis technique. As a result of the analysis, different cognitive variables effect on solving proportional problem classified by the level of structuredness. Through the results, the study suggest how to teach and assess proportional reasoning and problem solving in elementary mathematics class.

• Journal of Educational Research in Mathematics
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• v.22 no.4
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• pp.557-580
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• 2012

Common Core State Standards for Mathematics(CCSSM) is a blueprint for school mathematics in 2010s of the United States. CCSSM can be divided into two major parts, the standards for mathematical content and the standards for mathematical practice. This study focused on the latter. Mathematical practice comes from the mathematical process in 'Principles and standards for school mathematics(NCTM, 2000)' as well as the mathematical proficiency in 'Adding it up(NRC, 2001)'. It is composed of eight standards which mathematically proficient students are expected to do. From Korean perspective, it can also be comparable with the mathematical process which contains mathematical problem solving, mathematical reasoning, and mathematical communication and was provided by the 2009 revised national curriculum for mathematics in Korea. However, few focused the standards for mathematical practice among the studies related to CCSSM in Korea. Moreover, there is a study that even ignores the existence of the standards for mathematical practice itself. This study aims to understand the standards for mathematical practice through analysing the document of CCSSM and its successive materials for implementing the CCSSM. This understanding will help effective implementation of the mathematical process in Korea.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.2
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• pp.193-213
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• 2016

This study has two goals. The First is to develop and apply a step-by-step program and the degree to which students' mathematical skills. The second is to analyze mathematical attitude change around the first grade students was done. The program for learning complement number is composed of series of 5 steps and 11 classes. Play for learning complement number, taking into account the difficulty of the learning steps 1-5 are organized. First step is composed of the classes which fragmented pieces of shapes to complete the entire geometry with fun activities for the entire part of the concept of learning and it maintenance concepts and can naturally learn by associating step. In second step, tools to take advantage of the real world and collecting the conservative concept. 3rd steps is to repair the mathematical concept of the parish in the learning stage of expansion. 4th step is halrigalri, number cards, making ten games etc. 5th step is to verify the concept of complement number and number operation ability. The concept of complement number through fun activities can improve students' mathematical skills, and mathematical attitude change. Early in the program, students use the finger to throw acid in the process. Simple addition and subtraction calculations may take a long time and error, but more and more we progress through the program using the fingers is eliminated and a more complex form calculations was not difficult to act out.

• Proceedings of the Korea Multimedia Society Conference
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• 2002.05c
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• pp.352-360
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• 2002

본 논문에서는 미세 거리변와에 따른 자기자화의 변화를 구현하는데 있어 비선형적인 요소를 포함하고 있어 이를 수학적으로 모델링하여 제어기를 설계하는데는 많은 난점을 내포하고 있다. 따라서 거리변화에 따른 자기장의 비선형적인 변화 관계를 신경회로망 제어기의 학습을 통하여 제어할 수 있도록 신경 회로망 제어기를 제안하려 한다.