• Journal of Elementary Mathematics Education in Korea
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• v.6 no.1
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• pp.23-40
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• 2002

Historically, the use of algorithms has been emphasized in the mathematics curriculum at the elementary school mathematics. The current reform movement in our country are seemed to emphasize the importance of algorithms in favor of problem-solving approaches, the conceptualization of mathematical processes and applications of mathematics in real world situations. Recently, children may come to school with a fairly well-developed attitude about mathematics and mathematical ideas. That is, they do not come to school and to learning mathematics with a clean slate. Because they have already formed some partial mathematical concepts in a wide variety of contexts. Many kindergarten children have attended pre-school programs where they played with blocks, made patterns, and started adding and subtracting. It seems that there are psychological change attitudes of the children in upper grades toward learning mathematics. In our elementary school mathematics, almost every student are still math anxious or have developed math anxiety because of paper-pencil test. In these views, this paper is devoted to introduce and apply to second grade students in ND-elementary school in Taegu City the new method for learning addition and subtraction so called ‘Mrs Weill's Hill’, which is believed as a suitable method for children with mathematical teaming disabilities and Math anxiety.

• Education of Primary School Mathematics
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• v.20 no.3
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• pp.205-224
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• 2017

A model method has been known as the main characteristic of Singaporean elementary mathematics textbooks. However, little research has been conducted on how the model method is employed in the textbooks. In this study, we extracted contents related to the model method in the Singaporean elementary mathematics curriculum and then analyzed the characteristics of the model method applied to the textbooks. Specifically, this study investigated the units and lessons where the model method was employed, and explored how it was addressed for what purpose according to the numbers and operations. The results of this study showed that the model method was applied to the units and lessons related to operations and word problems, starting from whole numbers through fractions to decimals. The model method was systematically applied to addition, subtraction, multiplication, and division tailored by the grade levels. It was also explicitly applied to all stages of the problem solving process. Based on these results, this study described the implications of using a main model in the textbooks to demonstrate the structure of the given problem consistently and systematically.

• Education of Primary School Mathematics
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• v.2 no.2
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• pp.113-131
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• 1998

The purpose of this study is to investigate the relationships among affective characteristics, mathematical problem-solving abilities, and reasoning abilities of the 6th graders for mathematics, and to analyze whether the relationships have any differences according to the regions, which the subjects live. The results are as follows： First, self-awareness is the most important factor which is related mathematical problem-solving abilities and reasoning abilities, and learning habit and deductive reasoning ability have the most strong relationships. Second, for the relationships between problem-solving abilities and reasoning abilities, inductive reasoning ability is more related to problem-solving ability than deductive reasoning ability Third, for the regions, there is a significant difference between mathematical abilities and deductive reasoning abilities of the subjects.

• Communications of Mathematical Education
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• v.30 no.2
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• pp.161-178
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• 2016

Mathematics problem based learning(PBL), which has recently attracted much attention, is a teaching and learning method to increase mathematical ability and help learning mathematical concepts and principles through problem solving using students' mathematical prerequisite knowledge. In spite of such a quite attention, it is not easy to apply and practice PBL actually in school mathematics. Furthermore, the recent instructional situations or environments has focused on student's self construction of their learning and its process. Because of this reason, to whom is related to mathematics education including math teachers, investigation and recognition on the degree of students' acquisition of mathematical thinking skills and strategies(for example, inductive and deductive thinking, critical thinking, creative thinking) is an very important work. Thus, developing mathematical thinking skills is one of the most important goals of school mathematics. In particular, recently, connection or integration of one subject and the other subject in school is emphasized, and then mathematics might be one of the most important subjects to have a significant role to connect or integrate with other subjects. While considering the reason is that the ultimate goal of mathematics education is to pursue an enhancement of mathematical thinking ability through the enhancement of problem solving ability, this study aimed to implement basically what is the meaning of the integrated thinking ability in problem based learning theory in Mathematics. In addition, using historical materials, this study was to develop mathematical materials and a sample of a concrete instructional guideline for enhancing integrated thinking ability in problem based learning program.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.3
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• pp.347-363
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• 2019

The purpose of this study was to investigate the effects of communication - oriented mathematical writing strategies on students' mathematics achievement and mathematical propensity. In order to achieve the purpose, three types of communicative math writing learning strategies such as writing their own thoughts and feelings, writing problem solving process, and explaining the mathematical concepts. In the comparative group, general lessons based on textbooks and tutorials were conducted. As the results, the students in the experimental group showed a significant improvement in mathematics achievement and a positive effect on the mathematical propensity as compared with the comparison group.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2012.05a
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• pp.446-450
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• 2012

Will lead the future of life in society, children needs robot education for adaptation to the futhure high-tech robot age. For children to learn about robots needs an active interest, the necessity of learning, creative learning using information technology in information-based society In ministry of education, science and technology education in the necessity of a infant's smart robot education to promote education and training child care for infants national scientific and mathematical problem - solving skills and creative problem solving to increase rearing children in desperate need of robots is the development of educational content. Baby robot training content design and creativity of the teaching model effective problem solving and creativity measuring plan review, implementation strategies and creative problem solving is a comparison. The goal of this paper enjoys science and technology with curriculum-based children's fusion science and technology human resources is to lay the groundwork for.

• The Mathematical Education
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• v.63 no.2
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• pp.123-138
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• 2024

This study described the utilization of ChatGPT in teaching and students' learning processes for the course "Introductory Mathematics for Artificial Intelligence (Math4AI)" at 'S' University. We developed a customized ChatGPT and presented a learning model in which students supplement their knowledge of the topic at hand by utilizing this model. More specifically, first, students learn the concepts and questions of the course textbook by themselves. Then, for any question they are unsure of, students may submit any questions (keywords or open problem numbers from the textbook) to our own ChatGPT at https://math4ai.solgitmath.com/ to get help. Notably, we optimized ChatGPT and minimized inaccurate information by fully utilizing various types of data related to the subject, such as textbooks, labs, discussion records, and codes at http://matrix.skku.ac.kr/Math4AI-ChatGPT/. In this model, when students have questions while studying the textbook by themselves, they can ask mathematical concepts, keywords, theorems, examples, and problems in natural language through the ChatGPT interface. Our customized ChatGPT then provides the relevant terms, concepts, and sample answers based on previous students' discussions and/or samples of Python or R code that have been used in the discussion. Furthermore, by providing students with real-time, optimized advice based on their level, we can provide personalized education not only for the Math4AI course, but also for any other courses in college math education. The present study, which incorporates our ChatGPT model into the teaching and learning process in the course, shows promising applicability of AI technology to other college math courses (for instance, calculus, linear algebra, discrete mathematics, engineering mathematics, and basic statistics) and in K-12 math education as well as the Lifespan Learning and Continuing Education.

• Journal of The Korean Association For Science Education
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• v.25 no.2
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• pp.79-87
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• 2005

We compared algorithmic problem solving and conceptual understanding of chemistry with three types (algorithmic, pictorial- and wordy-formatted conceptual) of problems. The familiarity, confidence, and preference to the three type of problems were also examined. The chemistry problem solving ability test was administered to 228 students from two top high schools in the province of Gyeonggi who were preparing the chemistry examination among the four optional subjects (biology, chemistry, earth science, physics) for enter university. After administrating the chemistry problem solving ability test, the degree of familiarity to some problems and the degree of confidence of their answers in a Likert scale were asked to the students. Besides, the students were asked to place preference to the type of problems in order. The students scored better on the algorithmic problems than on the conceptual problems (pictorial and wordy problems), and were also most familiar with the algorithmic problems. The students were more confident of their answers on both of types pictorial and algorithmic problems, and preferred pictorial problems rather than both of types algorithmic and wordy problems.

• Proceedings of the Korean Information Science Society Conference
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• 2000.04b
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• pp.690-692
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• 2000

인터넷의 빠른 보급으로 인해 사이버 교육 사이트가 늘어나고 있다. 사이버 교육의 장점은 언제 어디서나 손쉽게 인터넷 사이트에 접속하여 교육을 받을 수 있다는 점이다. 그러나, 사이버 교육에는 해결해야 할 문제점들이 있는바, 그 문제점 중의 하나는 학생의 수학 능력을 평가하는 것이다. 본 논문에서는 출제자가 컴퓨터로 입력한 문제에 대한 정보와 출제 기준을 구문분석하고, 정해진 형식에 맞추어 서버를 통해 저장해둠으로써 각각의 학습자가 편리한 시간에 통신에 접속하여 응시할 때마다, 출제자가 학습자에게 요구하는 평가형식으로 저장된 문제정보를 불러와서, 매번 다른 유형의 문제들을 화면상에 출력시킨다. 어떤 경우에도 새로운 문제 유형으로 시험을 공정하고 효과적으로 평가할 수 있도록 구현되어졌다. 시험평가부에서 시험문제에 대한 해설을 덧붙여 시험후의 학습 효과를 이룰수 있도록 했다.

• Journal of Gifted/Talented Education
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• v.13 no.3
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• pp.1-17
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• 2003

Development and evaluation of distance learning for the gifted students in science and mathematics In this study, we developed and administrated the distance learning for the gifted students in science and mathematics, and analysed their responses. To do this, four types of teaching programs - lectures using program for distance learning, practice activities using simulation program, tasks solving programs based on discussions, and problem solving activities - were developed and students responses were analysed in eight area - stimulus, difficulties, structure, learning circumstances, involvement, interaction, learning outcomes, comparison with other learning -. As results, it was found that many students responded positively and thought programs helped their creativity, logical thinking, intelligent ability, and information searching ability. Students preferred practice activities based on appropriate guidances to lectures providing detailed explanations. And interaction could be stimulated by inducing discussion.