• School Mathematics
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• v.18 no.4
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• pp.773-791
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• 2016

Teacher noticing ability has been considered as one of important elements influencing a quality of teaching. Noticing is closely related to teachers' in the moment decision making in a class, and teachers notice things as they create and interact with their classroom setting. Mathematics teachers as an expert should notice students' mathematics learning during a class. The aim of this study was to analyze how mathematics teacher's pre-noticing activity that the teacher anticipated students' typical strategies and difficulties in learning targeted mathematics knowledge and prepared appropriate responses worked in practice. As a result, the teacher conducted three types of noticing in her classes: noticing shaping students' understanding by using students' misconceptions or errors; noticing creating students' learning opportunities based on their prior knowledge; noticing improving students' informal reasoning. This study concluded with discussion about the positive effect of teacher's pre-noticing activity on her actual noticing in practice, as well as implications for teacher education.

• Journal of Convergence for Information Technology
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• v.11 no.2
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• pp.219-228
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• 2021

The purpose of this study was to examine the experiences of participation in the educational community through cooperative relationships between early childhood teachers and researchers in early childhood mathematics education using storytelling, and to find out the meaning of those experiences. Reputable researchers began with the formation of the educational community on March 14, 2016, and continued until July 26, 2016, and collected transcripts of discussions of educational community meetings, reflective journal data of teachers and researchers, and transcript of individual interviews by teachers. As a result of the study, first, the experience of participating in the educational community in early childhood mathematics education using storytelling shared personal mathematics experiences and mathematical situations, understood and learned mathematics content knowledge through sharing, and communicated through the educational community. Second, looking at the meaning of the experience of participating in the early childhood mathematics education educational community using storytelling, learn together through mathematical errors and learn the direction of better instruction through sharing. Grown up as a teacher who enjoys the mathematics exploration process, and promoted joint practice through cooperation in early childhood mathematics education using storytelling.

• Proceedings of The KACE
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• 2017.08a
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• pp.235-239
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• 2017

학습자는 교육의 3요소인 교육자, 학습자, 교육내용의 하나로 학습자 특성과 이가 학업성취에 미치는 영향을 이해하는 것이 중요하다. 컴퓨터 비전공자를 대상으로 하는 컴퓨팅 교육이 점점 활발해지고 있다. 비전공자 컴퓨팅 교육이라는 맥락에서 학습자 특성과 학업성취의 관계를 이해할 필요가 있다. 본 연구는 비전공자 컴퓨팅 교육에서 학습자 특성과 학업성취의 관계를 실증적으로 이해하기 위해 실행되었다. 학습자 특성을 이전경험/사전지식, 인지적 요인, 심리적 요인의 3가지로 분류하였고, 연구대상을 3그룹으로 설정, 다양한 하위 요소 데이터를 수집하였다. 그 결과, 대상 1의 경우 학습스타일(순차적: 부적상관, 통합적: 정적상관), 대상 2는 자기 효능감(사후), 대상 3은 수학 사전지식, 컴퓨팅과 전공의 연계성 인식, 정보적 사고에 대한 인식이 학업성취와 유의미한 상관관계가 있었다. 하지만 상관성이 모두 0.5이하로 크지 않고, 자기 효능감과 전공 연계성 인식의 경우 대상에 따라 결과가 상이하였다. 향후 연구에서 다루지 않은 변수에 대한 연구와 상관관계가 밝혀진 변수만을 대상으로 인과성을 확인하는 연구가 필요하다. 또한 현상학적 관점으로 학습자 특성을 고찰할 필요가 있다.

• Research in Mathematical Education
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• v.4 no.1
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• pp.33-43
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• 2000

The purpose of this paper was to introduce sociocultural theory which is a different epistemological perspective from constructivism and to understand the sociocultural theory in a systemic way by providing four specific criteria for a sociocultural theory from the analysis of Vygotsky's ideas. The four criteria are the followings: first, the origin of learning is not at the individual level, but at the social. Second, Learning takes place in a sociocultural framework through ZPD and there exists the stage of pseudo concept before it gets to a true concept. Third, a clear focus on action, especially mediated action, and the concept of psychological tools should be discussed in the boundary of a sociocultural theory. Fourth, actors in a learning process are not an individual child alone. In consequence, the role of adults, particularly teachers, are significant in a child's learning, and this fact provides a great potential for the active role of teachers in the students' learning of mathematics from the sociocultural perspective.

• The Journal of Korean Association of Computer Education
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• v.4 no.2
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• pp.135-143
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• 2001

Teachers' cognitive understanding of subject matter content have direct impact on the quality of students learning. In order to understand this, we need to investigate the relationships between the teachers' level of knowledge about the content and the instruction teacher provide for students. Professional development programs for computer education teachers include courses in computer science, curriculum studies, and the application of computers in the classroom. Effective teachers, however, have expertise in the subject matter content, know curriculum, and understand contextual knowledge for teaching computers in the classrooms. Although computer education have evolved for last 20 years, we have not yet made significant progress on researching "what" is the professional knowledge of computer teachers, and "how" they could be trained. Teacher's knowledge includes pedagogical and contextual knowledge of teaching the specific subject. The purpose of this paper is to understand the professional knowledge of computer teachers, and the adoption of PCK (pedagogical content knowledge). As a result of this paper, I hope to initiate further discussions and researches on PCK and its' implication for computer teachers and teacher preparation programs in Korea.

• 한국정보교육학회:학술대회논문집
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• 2007.01a
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• pp.335-343
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• 2007

수학적 지식과 능력을 활용하여 생활 주변의 여러 가지 문제를 해결하는 능력의 신장이야말로 수학교육의 목표이자, 수학 학습의 근본적인 이유가 된다. 그러나 문제해결 능력이 가장 많이 필요한 문장제 문제해결과, 문제 푸는 방법 찾기 단원을 학생들은 해결하기 어려워한다. 다른 단원보다 명확하게 식을 찾을 수 있는 연산 문제들과 다르고, 책에 제시되어 있는 방법을 쉽게 사용을 하지 못하며. 그 문제의 의미를 이해하지 못한다. 그래서 문제를 푸는데 즐거움을 느끼지 못한다. 이에 본 연구는 문제 푸는 방법 찾기 단원을 중심으로 문제해결 능력 신장을 위한 교수 학습 시스템 설계를 목적으로 학습의 과정별, 특성별, 연계별 학습 내용을 고려하여 학년 통합, 내용 통합하여 재구성하였다. 그리고 교수-학습 모듈, 평가 모듈, 상호작용 모듈로 시스템을 구성하였다. 시공간의 제약을 극복하여 학습자들의 수준에 적합한 개별화 학습을 제공하고, 웹을 이용한 문제 만들기 활동을 통하여 학습에 자신감을 기르고, 또한, 자기주도적 학습 능력을 향상시키는 계기가 될 수 있을 것으로 기대된다.

• Journal of Gifted/Talented Education
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• v.18 no.3
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• pp.465-496
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• 2008

With leadership and speciality, creativity is cutting a fine figure among major values of human resource in 21C knowledge-based society. In the 7th school curriculum much emphasis is put on the importance of creativity by pursuing the image of human being based on creativity based on basic capabilities'. Also creativity is one of major factors of giftedness, and developing one's creativity is the core of the program for gifted education. Doing mathematics requires high order thinking and knowledgeable understandings. Thus mathematical creativity is used as a measure to test one's flexibility, and therefore it is the basic tool for creativity study. But theoretical study for mathematical creativity is not common. In this paper, we discuss mathematical creativity applied to 6 approaches suggested by Sternberg and Lubart in educational theory. That is, mystical approaches, pragmatical approaches, psycho-dynamic approaches, cognitive approaches, psychometric approaches and scio-personal approaches. This study expects to give useful tips for understanding mathematical creativity and understanding recent research results by reviewing various aspects of mathematical creativity.

• Journal of the Korean School Mathematics Society
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• v.10 no.4
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• pp.505-518
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• 2007

The purpose of this paper is to investigate the meaning of assessment for students, parents and mathematics teachers in middle school mathematics. For this purpose, we made an inspection to find out how the students grasped assessment results of mathematics, an investigation on the parents questionnaire to catch their viewpoints about assessment in school mathematics. Then, we interviewed three students, three teachers to confirm or to supplement the collected data. From the analyzing of data, we found the followings: First, it is not reasonable to evaluate the middle school students' mathematics accomplishment level using only paper test score. Second, almost all parents focus on their interesting to mathematics test score of their children not any other factors, such as intellectual accomplishment. Third, mathematics teachers claim that private education for only the mathematics test score can block the improving of students' mathematical thinking and application ability of mathematical knowledge.

• Communications of Mathematical Education
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• v.37 no.2
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• pp.277-297
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• 2023

In mathematics, the concept of convolution is widely used. The convolution operation is required for understanding computer vision and deep learning in artificial intelligence. Therefore, it is vital for this concept to be explained in college mathematics education. In this paper, we present our new teaching and learning materials on convolution available for engineering mathematics. We provide the knowledge and applications on convolution with Python-based code, and introduce Convolutional Neural Network (CNN) used for image classification as an example. These materials can be utilized in class for the teaching of convolution and help students have a good understanding of the related knowledge in artificial intelligence.

• Communications of Mathematical Education
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• v.27 no.1
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• pp.39-62
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• 2013

On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out the following research such as : 1) development of the standards on teaching evaluation between 2004 and 2006, and 2) investigation on the elements of Teacher Knowledge. The purposes of development of evaluation standards for mathematics teaching through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. In this study, the standards were revised and modified by analyzing the results of those studies focused on the knowledge of subject matter knowledge, knowledge of learners' understanding, teaching and learning methods and assessments, and teaching contexts. For this purpose, according to those evaluation domains of each teacher knowledge, elements on teaching evaluation focused on the teacher's knowledge were established using the instructional evaluation framework, which is developed in this study, including the four areas of knowledge obtaining, instructional planning, instructional implementation, and instructional reflection. In this study, 1st and 2nd pilot studies was accomplished for revising evaluation standards and as a result, the procedure for implementing mathematics teaching using evaluation standards was changed to evaluate teachers own teaching using the standards focused on instructional reflection and according to the degree of satisfaction on reflecting their own teaching, standards on knowledge obtaining, instructional planning, instructional implementation would be utilized. Teacher survey is accomplished two times, by the subject of seven teachers. According ot the result of the first teacher questionnaire which was consisted of the essay type of questions on the degree of understanding the content of standards, the evaluation standards were revised. According ot the result of the second teacher questionnaire which was consisted of the essay type of questions on the application of standards, the evaluation standards were revised finally and the way of how to use the standards efficiently was suggested.