• 한국수학교육학회지시리즈E:수학교육논문집
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• 제19권4호
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• pp.733-767
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• 2005

During the past decades, there has been a fundamental change in the objectives and nature of mathematics education, as well as a shift in research paradigms. The changes in mathematics education emphasize learning mathematics from realistic situations, students' invention or construction solution procedures, and interaction with other students of the teacher. This shifted perspective has many similarities with the theoretical . perspective of Realistic Mathematics Education (RME) developed by Freudental. The RME theory focused the guide reinvention through mathematizing and takes into account students' informal solution strategies and interpretation through experientially real context problems. The heart of this reinvention process involves mathematizing activities in problem situations that are experientially real to students. It is important to note that reinvention in a collective, as well as individual activity, in which whole-class discussions centering on conjecture, explanation, and justification play a crucial role. The overall purpose of this study is to examine the developmental research efforts to adpat the instructional design perspective of RME to the teaching and learning of differential equation is collegiate mathematics education. Informed by the instructional design theory of RME and capitalizes on the potential technology to incorporate qualitative and numerical approaches, this study offers as approach for conceptualizing the learning and teaching of differential equation that is different from the traditional approach. Data were collected through participatory observation in a differential equations course at a university through a fall semester in 2003. All class sessions were video recorded and transcribed for later detailed analysis. Interviews were conducted systematically to probe the students' conceptual understanding and problem solving of differential equations. All the interviews were video recorded. In addition, students' works such as exams, journals and worksheets were collected for supplement the analysis of data from class observation and interview. Informed by the instructional design theory of RME, theoretical perspectives on emerging analyses of student thinking, this paper outlines an approach for conceptualizing inquiry-oriented differential equations that is different from traditional approaches and current reform efforts. One way of the wars in which thus approach complements current reform-oriented approaches 10 differential equations centers on a particular principled approach to mathematization. The findings of this research will provide insights into the role of the mathematics teacher, instructional materials, and technology, which will provide mathematics educators and instructional designers with new ways of thinking about their educational practice and new ways to foster students' mathematical justifications and ultimately improvement of educational practice in mathematics classes.

• 한국수학교육학회지시리즈A:수학교육
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• 제47권4호
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• pp.519-543
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• 2008

The study has been conducted with 29 children from 4th to 6th grades to realize how they understand addition, subtraction, multiplication, and division of whole numbers, and how their understanding influences solving of one-step word problems. Children's understanding of operations was categorized into "adding" and "combination" for additions, "taking away" and "comparison" for subtractions, "equal groups," "rectangular arrange," "ratio," and "Cartesian product" for multiplications, and "sharing," "measuring," "comparison," "ratio," "multiplicative inverse," and "repeated subtraction" for divisions. Overall, additions were mostly understood additions as "adding"(86.2%), subtractions as "taking away"(86.2%), multiplications as "equal groups"(100%), and divisions as "sharing"(82.8%). This result consisted with the Fischbein's intuitive models except for additions. Most children tended to solve the word problems based on their conceptual structure of the four arithmetic operations. Even though their conceptual structure of arithmetic operations helps to better solve problems, this tendency resulted in wrong solutions when problem situations were not related to their conceptual structure. Children in the same category of understanding for each operations showed some common features while solving the word problems. As children's understanding of operations significantly influences their solutions to word problems, they needs to be exposed to many different problem situations of the four arithmetic operations. Furthermore, the focus of teaching needs to be the meaning of each operations rather than computational algorithm.

• 한국초등수학교육학회지
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• 제14권3호
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• pp.843-863
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• 2010

본 연구는 2007개정 초등수학과 교육과정의 5개 내용영역 중, 수와 연산영역의 수(number)와 관련하여 각 나라마다 지도하는 소재나 방법적인 측면에서 조금씩은 차이가 있기 마련이다. 따라서 외국 특히 뉴질랜드의 초등학교에서는 이와 관련하여 지도나 수업설계 등에서 어떤 점에 주안점을 두고 있으며 우리와는 다른 어떠한 특징이 있는지를 뉴질랜드에서 사용되고 있는 텍스트와 실제 초등학교에서의 포트폴리오의 사례를 중심으로 살펴봄으로서 이를 통한 몇 가지 시사점을 얻는데 있다.

• 한국학교수학회논문집
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• 제1권1호
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• pp.185-196
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• 1998

This study is undertaken to clarify the evolution of the mathematics regarding the $\pi$ ratio, square root, trigonometric ration which are dealing by approximate value according to the curriculum of Korean Middle School and its subsequent growth of methods for attaining the approximate value. Furthermore a brief survey has been thought for assessing the significance of the core of approximate value and its utility which will be given a guide line to many young learners. I'd better teach these historical background to the students and it makes clear the approximate value and the content about the approximate value. This research should help to improve the student's ability of solving a problem by making them think it mathematically through the life and the effort of the mathematician.

• 공학교육연구
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• 제26권1호
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• pp.12-19
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• 2023

With the introduction of the accreditation of engineering programs in Korea, universities affiliated with the programs have opened introductory engineering design courses for first- or second-year students. Since these courses mainly aim at cultivating problem-solving skills through team projects, this type of classes has opened as face-to-face classes. However, from the beginning of 2020, online teaching was recommended or forced on universities due to the COVID-19 pandemic. Thus, effective design of online courses on introductory engineering design was inevitable during the period. In this paper, we introduce a case study of the course in the Department of Computer Science at S University in Fall 2021. Through concrete suggestions on project areas, selection of team members considering grade levels and interest, several systems for prevention of free riding, and carefully designed open-book exams, the course resulted in both high achievements and high satisfaction.

• 한국수학교육학회지시리즈A:수학교육
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• 제63권2호
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• pp.387-392
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• 2024

The use of artificial intelligence (AI) in mathematics education has advanced as a means for promoting understanding of mathematical concepts, academic achievement, computational thinking, and problem-solving. From a total of 13 studies in this special issue, this editorial reveals threads of potential and future directions to advance mathematics education with the integration of AI. We generated five themes as follows: (1) using ChatGPT for learning mathematical content, (2) automated grading systems, (3) statistical literacy and computational thinking, (4) integration of AI and digital technology into mathematics lessons and resources, and (5) teachers' perceptions of AI education. These themes elaborate on the benefits and opportunities of integrating AI in teaching and learning mathematics. In addition, the themes suggest practical implementations of AI for developing students' computational thinking and teachers' expertise.

• 컴퓨터교육학회논문지
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• 제16권4호
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• pp.13-21
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• 2013

최근 초등학생을 대상으로 다양한 교육용 프로그래밍 언어와 교수학습방법이 개발됨에 따라 교육현장에서 활발하게 프로그래밍 교육이 이루어지고 있다. 그러나 대부분의 프로그래밍 교육이 초등학교 고학년 학생을 대상으로 하고 있으며, 문제해결과정 보다 도구의 사용법에 중점을 두고 있어서 정보교육 전반에 활용되기에는 한계가 있다. 정보교육에서 프로그래밍 활동이 활발히 이루어지기 위해서는 학습대상을 넓히고 교육내용을 사고력 측면에서 고려할 필요성이 있다. 따라서 본 연구에서는 초등학교 저학년 학생도 쉽게 사용할 수 있는 프로그래밍 도구와 사고력 향상을 중심으로 하는 프로그래밍 과제를 제안하였다. 프로그래밍 도구는 텐지블 유저 인터페이스(Tangible User Interface, TUI)를 기반으로 초등학교 저학년 학생도 쉽게 사용할 수 있도록 하였으며, 프로그래밍 과제는 로봇을 활용하여 논리적 사고를 향상시키는 목적으로 개발하였다. 실험을 통해 텐지블 프로그래밍 도구가 초등학교 저학년도 쉽게 사용할 수 있는 도구적 사용성을 나타내었고, 개발한 과제 또한 논리사고력 향상에 효과가 있음을 보여주었다.

• 컴퓨터교육학회논문지
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• 제23권2호
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• pp.1-11
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• 2020

최근 소프트웨어와 인공지능 교육이 점차 중요하게 다루어지면서 2019년 12월 과학기술정보통신부는 2022년까지 초·중등학교에서 소프트웨어와 인공지능 교육을 필수교육으로 확대하는 계획을 발표하였다. 초·중등학교에서는 물론, 대부분 대학교에서도 컴퓨터 비전공자들을 대상으로 한 소프트웨어 교육이 활발히 이루어지고 있지만, 컴퓨터 비전공자들을 대상으로 하는 코딩 교육에 관한 연구는 부족한 실정이다. 본 논문에서는 대학의 교양 과목으로 컴퓨터 비전공자를 대상으로 한 코딩 교육에서 효율적인 교수학습방법을 찾고자 한다. 밀레니얼 세대와 Z세대로 불리는 요즘 대학생들은 시각적 정보를 선호하고 디지털 네이티브로 컴퓨터에 익숙하다. 이런 특징을 기반으로 대학생들의 시각적 문해력과 사고 유형을 조사한 후, 기초 코딩 과목에서 학생들의 시각적 문해력과 사고유형이 프로그램을 이해하고 작성하는 코딩 기반의 문제해결력에 영향을 미치는지 살펴보았다. 이를 토대로 코딩이 처음인 컴퓨터 비전공자 학생들을 위한 코딩 활동에 대해서 보다 효율적인 교수학습방법에 대한 대안을 제시하였다.

• East Asian mathematical journal
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• 제25권3호
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• pp.321-341
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• 2009

The purpose of this study was to examine the effect of the manipulative materials in the Australian Maths 300 program by applying it to Korean Elementary Mathematics Education - based on parts of 'Probability and Statistics', and 'Symbol and Expression'. In order to this purpose, we select appropriate Maths 300's manipulate materials that could be used to obtain learning objectives within class time for each part, four lessons with the materials were taught at to third, fourth, and fifth grade students of elementary School. The effect of the teaching was analyzed by videotape and student opinion. The results of this study are the following: First, the manipulative tools were almost entirely lacking for the 'Probability and Statistics' section without a 'number of cases' unit. The tools presented in the 'Symbol and Expression' section were helpful in the games that were used for checking preceding learning. Second, the results of using the Math 300 manipulative materials in class showed that the students were eager to be involved in the activities using those materials and to find their own solutions in problem-solving questions that were suited to them; these led to them making their own questions. In response to questioning about the use of the manipulative materials, the students stated that it was easy and fun for them to use the manipulative materials, to solve the problems for themselves, and that they would like to continue practicing the activities in the future. Finally, Studies on the presentation of a variety of manipulative materials including those in this study that can used in problem-solving learning and other learning fields, and the methodology for the use of manipulative materials can be enhanced through further studies.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제32권4호
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• pp.519-536
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• 2018

본 연구는 후기성인학습자를 위한 수리문해 프로그램 개발 연구이다. 이를 위하여 먼저, 수리문해의 성격을 조명하고 이를 통해 후기성인학습자들을 위한 수리문해 학습 내용을 선정하였다. 또한 선별한 수학 내용을 후기성인학습자의 경험에 기반한 실생활과 연관 지어 교수학습 자료를 개발하였다. 이러한 수리문해 프로그램을 후기성인학습자들에게 적용한 결과 학습초기 흥미와 같은 정의적 영역의 변화를 동반하며 학습이 지속됨에 따라 수학적 정형화 단계를 거쳐 수학적 정교화가 발현되는 양상을 관찰할 수 있었다. 본 연구는 후기성인들의 경험에 기반하여 후기성인을 위한 산술을 수리문해 측면에서 재정의함으로서, 비형식적인 후기성인학습자들의 문제해결과정을 정교한 수학적 문제해결 해결로 정당화시킬 수 있도록 후기성인학습자의 수학적 정교화에 기여할 수 있었다는 점에서 그 의의가 있다.