• Title/Summary/Keyword: 수학교육공학

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SEM-CT: Comparison of Problem Solving Processes in Science(S), Engineering(E), Mathematic(M), and Computational Thinking(CT) (SEM-CT: 과학(S), 공학(E), 수학(M)적 문제해결과정과 컴퓨팅 사고(CT))

  • Nam, Younkyeong;Yoon, JinA;Han, KeumJoo;Jeong, JuHun
    • The Journal of Korean Association of Computer Education
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    • v.22 no.3
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    • pp.37-54
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    • 2019
  • The main purpose of STEM education is to understand methods of inquiry in each discipline to develop convergent problem solving skills. To do this, we must first understand the problem-solving process that is regarded as an essential component of each discipline. The purposes of this study is to understand the relationship between the problem solving in science (S), engineering (E), mathematics (M), and computational thinking (CT) based on the comparative analysis of problem solving processes in each SEM discipline. To do so, first, the problem solving process of each SEM and CT discipline is compared and analyzed, and their commonalities and differences are described. Next, we divided the CT into the instrumental and thinking skill aspects and describe how CT's problem solving process differs from SEM's. Finally we suggest a model to explain the relationship between SEM and CT problem solving process. This study shows how SEM and CT can be converged as a problem solving process.

Utilizing Calculators as Cognitive Tool in the Elementary School Mathematics (인지적 도구로서의 사칙계산기 활용)

  • Lee, Hwa Young;Chang, Kyung Yoon
    • School Mathematics
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    • v.17 no.2
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    • pp.157-178
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    • 2015
  • The purpose of this study was to investigate the role of calculators as a cognitive tool rather than calculating tool in learning elementary school mathematics. The calculator activities on multiplying two numbers ending with 0s or two decimal fractions and mixed four operations were developed, and exploratory lessons with the activities were implemented to three 3rd graders and two 5th graders. The results were shown that calculators provided an alternative effective learning environment: students were able to use heuristic thinking, reason inductively and successfully investigate principles of mathematics through the pattern recognition. And finally, we discussed the heuristic method through utilizing calculators.

A Comparative Analysis of pi in Elementary School Mathematics Textbooks (초등학교 수학 교과서에 제시된 원주율의 지도방안 비교·분석)

  • Choi, Eunah;Kang, Hyangim
    • Communications of Mathematical Education
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    • v.36 no.4
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    • pp.589-610
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    • 2022
  • This study aimed to derive pedagogical implications by comparing and analyzing how the concept of pi is taught in 10 different elementary mathematics textbooks, which are scheduled to be applied from 2023. We developed a textbook analysis framework by previous studies on the concept of pi and the teaching of pi, and analyzed in terms of three instructional elements (i.e. inferring conceptsof pi, understanding properties of pi, and applying relationships). We derived the need to emphasize various contexts for estimation of pi, presentation of problem situations that provide motivation to actually measure diameters and circumferences, providing an opportunity to explore the properties of measurement, and an experience the flexibility of selecting an approximate value of pi. Based on the above conclusions and pedagogical implications through the research results., we suggested ways to teach the concept of pi in elementary mathematics and improvement points for developing textbooks focusing on the context of introduction of pi and the use of technological tools.

A Study on Development Strategies for Artificial Intelligence-Based Personalized Mathematics Learning Services (인공지능 기반 개인 맞춤 수학학습 서비스 개발 방향에 관한 연구)

  • Joo-eun Hyun;Chi-geun Lee;Daehwan Lee;Youngseok Lee;Dukhoi Koo
    • Journal of Practical Engineering Education
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    • v.15 no.3
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    • pp.605-614
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    • 2023
  • In In the era of digital transition, AI-based personalized services are emerging in the field of education. This research aims to examine the development strategies for implementing AI-based learning services in school. Focusing on AI-based math learning service "Math Cell" developed by i-Scream Edu, this study surveyed the functional requirements from the perspective of an educator. The results were analyzed for importance and suitability using IPA, and expert opinions were surveyed to explore specific development directions for the service. Consequently, importance in all areas such as diagnosis, learning, evaluation, and management averaged 4.82 and performance averaged 4.56, showing excellent results in most questions, and in particular, importance was higher than performance. Among certain detailed functions, concept learning, customized task presentation, evaluation result analysis function, dashboard-related functions, and learning materials in the dashboard were not intuitive for students to understand and had to be supplemented. This study provides meaningful insights by summarizing expert opinions on AI-based personalized mathematics learning services, thereby contributing to the exploration of the development strategies for "Math Cell".

일본의 전기.정보공학 교육의 실태

  • 고광철
    • 전기의세계
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    • v.44 no.8
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    • pp.14-20
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    • 1995
  • 전기.정보계열의 학과에서는 기초 과목으로 전자기학, 회로이론, 양자역학, 통계역학, 수학 따위인데, 정보 관계에서는 전자기학보다도 소프트웨어공학에 도움이 되는 과목을 4년간 교육해야 한다. 4년간이라고 해도 실질적으로 2년 반이므로 대학의 4년간이라는 것은 상당히 큰 문제를 안고 있다. 대학원 진학이 늘어가는 추세에서 학부만 마친 학생도 있으므로, 이것에 대해서는 산업계의 필요성을 받아들이는 동시에 산학 공동 또는 산관학의 협력 체제를 갖추어야 한다. 따라서 산업계와 대학이 일체가 되어 대학의 교과과정을 토의하는 자리를 마련해 교육 시책에 반영하는 것이 필요하다. 상호가 협력하는 시스템, 산업계와 대학이 융합할 수 있는 프로그램을 학회를 중심으로 한 중립의 자리에서 만들 필요가 있다.

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The Relationship between Voice Recognition Games and Education: Current Research Trends and Future Perspectives (음성인식 게임과 교육의 연관성: 현재 연구 동향과 전망)

  • Se Jeong Heo;Sung Jin Kim;Young Hyun Yoon;Jai Soon Baek
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2023.07a
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    • pp.397-398
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    • 2023
  • 본 논문은 음성인식 기술을 활용한 게임과 교육 분야의 연계성에 대한 연구를 제시한다. 음성인식 게임은 사용자의 음성 명령을 인식하고 상호작용을 가능하게 함으로써 학습자의 참여와 흥미를 유발한다. 관련 연구들은 음성인식 게임이 언어 학습, 수학 학습, 학습 장애 학생 지원 등 다양한 교육 분야에서 효과적으로 활용될 수 있다는 것을 보여준다. 음성인식 게임은 교육 환경에서의 음성인식 기술의 잠재력을 제시하며, 추가 연구가 필요하다는 결론을 도출한다.

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A Design and Effect of STEAM PBL based on the History of Mathematics (수학사를 활용한 융합적 프로젝트기반학습(STEAM PBL)의 설계 및 효과 분석)

  • Lee, Minhee;Rim, Haemee
    • School Mathematics
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    • v.15 no.1
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    • pp.159-177
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    • 2013
  • This study is a case study of STEAM education. We have developed teaching and learning materials, suggested teaching method, and analysed the result for exploring the potential and effect of STEAM. The content of this study is based on the history of mathematics. Science (S) is related to the 24 divisions of the year, the height of the sun, the movement of heavenly bodies. Technology (T) is related to the exploration with graphic calculators. Engineering (E) is related to design sundial and research on the design principles. Art (A) is related to literature review about mathematical history, the understanding of the value of the mathematics. Mathematics (M) is related to the trigonometric functions. We have considered that Project-Based Learning is proper teaching and learning for STEAM education, we have designed the STEAM PBL and analysed the results focused on the developing integrative knowledge, mathematical attitude including mathematical value, the competencies of 21 century. The result of this study is as follows. We find that STEAM education activates students' collaboration, communication skills and improves representation and critical thinking skills. Also STEAM education makes positive changes of students' mathematical attitudes including the values of the mathematics.

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Exploring a Teaching Method of Limits of Functions with Embodied Visualization of CAS Graphing Calculators (CAS 그래핑 계산기의 임베디드 시각화를 통한 함수의 극한 지도 방안 탐색)

  • Cho, Cheong-Soo
    • Communications of Mathematical Education
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    • v.25 no.1
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    • pp.63-78
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    • 2011
  • The purpose of this study is to explore a teaching method of limits of functions with more intuitive and visual of CAS graphing calculators rather than with the rigorous ${\epsilon}-{\delta}$ method. Texas Instruments Voyage200 CAS graphing calculators are used for studying the possibility of the use of technology in calculus course. For this, various related theoretical constructs are reviewed: concept image, concept definition, cognitive conflict, the use of visualization of technology for calculus concepts, the theory of APOS, and local straightness. Based on such theoretical constructs this study suggests a teaching method of limits of functions with embodied visualization of CAS graphing calculators.

A Study on Learning Environments for Euler's formula with activities ('오일러 공식과 오일러 표수' 탐구 활동을 위한 학습 환경 연구)

  • Song, Min Ho
    • Journal for History of Mathematics
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    • v.26 no.2_3
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    • pp.131-148
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    • 2013
  • Euler's formula provides the topological characteristics of geometrical objects including polyhedra, and so an important mathematical concept. Descriptions on Euler's formula had been in the textbooks according to the 3rd through 7th National Mathematics Curriculum. However, they are gone after that. In this study, we focus on Euler characteristic and Euler's formula as an educational material for educations for the gifted or after-school educations. We first look at the mathematical history and the applications of Euler's formula and national curriculums to search for its mathematical and educational meaning. We further make a suggestion for a learning environment which provides a better education relying on search activities, not just depending on memorization, illuminated from the education of Euler's formula.

A study on understanding of differentiation (미분의 이해에 대한 연구)

  • Oh, Hye-Young
    • Communications of Mathematical Education
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    • v.32 no.2
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    • pp.131-146
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    • 2018
  • Differentiation with integration is an important subject which is widely applied in mathematics, natural science, and engineering. Derivative is an important concept of differentiation. But students don't understand its concept well and concentrate on acquiring only the skill to solve the standardized calculus problem. So they are poor at understanding of the concept of differentiation. In this study, after making a survey of differentiation on college students, we try to analyze errors which appeared in solving differentiation problem and investigate mathematics process of limiting process inherent in the derivative and historical development about derivative. Thus, we try to analyze the understanding of differentiation and present the results about this.