• School Mathematics
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• v.7 no.2
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• pp.169-192
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• 2005

The purpose of this study is to provide the conformity for developing project-based teaching$\cdot$learning materials for the mathematically gifted students. And this study presents development procedural model in order to improve the effectiveness, analyze its practical usage and examine the verification of the developed materials. It made the following results regarding the development of project-based teaching$\cdot$learning materials for gifted children in mathematics. First, it is necessary to provide appropriate teaching$\cdot$learning model to develop the materials, and the materials should be restructured to be available to other level students. Second, it is suggested to develop a prototype in order to develop teaching$\cdot$learning materials for gifted children in mathematics, further the prototype needs to be restructured until it satisfies theoretical frame. Third, an introduction should be made before the activity to perform the projects effectively. Fourth, a teacher's guidance should introduce children's examples corresponding to the objectives of learning, the examples of topics examined by students, and teacher's manual and attention for teaching. This study has a point of presenting the detailed guidelines with regards to development of teaching$\cdot$learning materials for gifted students in mathematics. This study has a point of presenting the detailed guidees with regards to development of teaching$\cdot$learning materials for gifted students in mathematics.

• Journal of The Korean Association For Science Education
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• v.22 no.1
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• pp.141-157
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• 2002

The purpose of this study was to analyze teacher's teaching-learning strategies and young children's concepts related to mathematics and science in integrated mathematics and science education activities. To achieve this purpose, actual class episodes were analyzed. The episodes were derived from 7 sessions of interaction between teacher and 4 kindergartners in integrated mathematics and science education activities. As a result of the study, children's concepts related to mathematics and science in integrated mathematics and science education activities occurred three factors: the relationship between weight, shape and movement, the relationship between weight and size, and the concept of measurement. In teacher's teaching-learning strategies, three factors were revealed: teacher's questioning, use of teaching materials, and children grouping.

• East Asian mathematical journal
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• v.40 no.2
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• pp.149-166
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• 2024

This study is to establish the domains and the standards of instructional evaluation on the teacher knowledge dealing with the knowledge of 'teaching and learning methods and assessment'. Especially, in this study, the instruction assessment standards are developed focused on the five types of mathematics competencies such as problem solving, communication, reasoning, connection, information and handling, which were emphasized in the mathematical curriculum revised in 2022. By the result, ten domains such as an instruction involving instruction goal and content, problem-solving competency, data treatment competency, learners' achievement level and attitude, communication competency, reasoning competency, connection competency, the assessment method and procedure based on the competency, the assessment tool development based on the competency, assessment result based on the competency were new established. According to those domains, the total 20 instructional evaluation standards were developed. This study is limited to consider the domain of 'teaching and learning methods and assessment' among the domains of teacher knowledge, while dealing with the elements of mathematics competencies in the standards. However, instructional evaluation standards reflecting these competencies should be developed in the other diverse domains of teacher knowledge.

• Journal of the Korean School Mathematics Society
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• v.13 no.4
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• pp.569-594
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• 2010

On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out several research as follows : 1) establishment of observation elements for selecting examples of good mathematics instruction between 2001 and 2002, 2) development of the standards on teaching evaluation between 2004 and 2006, and 3) investigation on the elements of Pedagogical Content Knowledge including understanding of learners between 2007 and 2008. The purposes of development of mathematics teaching evaluation standards 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 three studies (namely, evaluation standards) focused on the teacher knowledge of learners' understanding. For this purpose, the meaning of learners' understanding was also investigated in-depth. Finally, the concrete elements on teaching evaluation focused on the teacher knowledge of learners' understanding in math class were new developed, based on the literature reviews on learners' understanding. Then, those evaluation elements were developed according to the five domains of learners' understanding such as evaluation domains such as students' intellectual and achievement level, students' misconception in math, students' motivation on learning, students' attitude on mathematics learning, and students' learning strategies.

• Journal of Science Education
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• v.43 no.1
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• pp.17-42
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• 2019

This study, as an attempt to integrate mathematics and information for convergence education, was conducted to develop teaching-learning materials on mathematics education combined with coding education, which has recently been emphasized. We chose the subject of digital signature for coding education, and used SageMath as a coding program. In this study, we overview mathematics used in the elliptic curve digital signature algorithm, one of the many methods for digital signature, and developed the teaching-learning materials on the algorithm for mathematics education integrated with information education based on coding. The elliptic curve digital signature algorithm utilized in transactions of Bitcoin, which many people recently are interested in, is a good example, showing students that mathematics is applied to problem-solving in the real world and provides an optimal environment for implementation by coding. Accordingly, we expect that a class on algorithm will provide a specific teaching-learning program to achieve the goal of integrated mathematics education. By comprehensively considering the opinions of mathematicians, mathematics teachers and mathematics education experts, we expect that the teaching-learning program will be realized as a meaningful class in science high schools, high school's math clubs, and 'number theory' class in colleges.

• 한국정보교육학회:학술대회논문집
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• 2011.01a
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• pp.47-51
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• 2011

The aim of Information Education is to improve the problem-solving skills based on Computational Thinking. In the current elementary school curriculum, there is no independent information subject. So, it will get used to browse the sub-element being applied implications for Computational Thinking through an analysis of teaching and leaning elementary mathematic scene. In this paper reveal the relationship sub-element of the Computational Thinking for solving problems through teaching and learning scene in elementary mathematics.

• Education of Primary School Mathematics
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• v.3 no.1
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• pp.47-54
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• 1999

The development of computer software accelerates the change of teaching-learning method in primary school mathematics. In this paper, we discuss how to apply the software GSP to teach mathematics in primary school and suggest some examples fur the creative and active loaming. Moreover, we give the efficient teaching method for the primary school mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.8 no.1
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• pp.89-108
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• 2004

Elementary mathematics education in the 7th mathematics curricula has been emphasized to foster ‘mathematical power’. For establishing this purpose, we need to provide the opportunities inducing to students' thoughts and to study leaching-learning methods to make structuring for their thinking process. Using to writing activities in students' mathematics learning, we think that we can find out their thinking process and this writing mathematics learning method is effective to promote their communication. Through analysing to six grade mathematics textbooks, we devised to mathematical writing types and teaching/learning models could being utilized in mathematics classes. And we investigated the influence of mathematical writing on the learning ability of students. We have experimented and investigated to after dividing experimental objects into two groups, experimental group and comparative group. We founded out, through these researches for mathematical writing teaming, that the experimental group of the former had obtained greatly better results than the latter in mathematical learning abilities and studying achievements. Based on these result, it is required to have an accumulation of research on teaching-teaming methods by using various types of mathematical writing study.

• Journal of the Korean School Mathematics Society
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• v.5 no.2
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• pp.1-15
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• 2002

The purpose of this study came to start to be helpful in that the teachers in field produced evaluation subject about the mathematics and applied by analyzing the performance capacity for the students about the subject developed through the application of subject about the teaching-learning model that can utilize the learners' learning experience and the development of items that can evaluate it by utilizing various and concrete operational materials as an object of the first year at the middle schools. The concrete purpose of realizing it is as follows. 1. This study is to develop the teaching-learning model centered on activities adequate to utilize various and concrete operational materials. 2. This study is to develop evaluation data for utilizing the concrete operational materials by making construction through the application of developed teaching-learning model as possible. 3. This study is to present standards initiative for reliable and fair marking about the evaluation data and to analyze the students' practice capacity by using it effectively. For accomplishing the purpose of this research, this study is the work-oriented teaching and learning model using learning data that can be easily found around the surroundings and 8 evaluation programs in order that the experience-oriented learning based on circumstances learning among the learning models of constructivism. Also, it is to examine the result after applying that on a basis of 25 students, consisted of only on class in a year, in the first year at the small size of agricultural middle schools. The result of this study from this research is as follows. First, as a result of frequency survey, of response about the developed evaluation data it showed positive response more than 80% of all the items. The atmosphere of self-directed learning was produced because the developed evaluation data could induce activity-based learning naturally by stimulating the students' curiosity and promoting interest. Second, this study executed t-test for the result of questionnaire about the mathematics propensity, and there were significant differences in 19 items among 25 items. It presented that the application of data about the teaching-learning and evaluation directly using concrete operational materials to the constructional learning by level might have desirable affect on the students' mathematical propensity. It came to be a motive that could increase value recognition and interest on the subject of mathematics by investigating a mathematical principle rule and confirming it through activity learning using the concrete operational materials.

• School Mathematics
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• v.5 no.2
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• pp.241-257
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• 2003

The goal of mathematics education in the 7-th national curriculum is focused on maximizing learning effectiveness through teaching mathematics, considering learning contents and levels appropriate to various levels of students' abilities. Thus, reduction of contents, learner-centered way of teaching, and multi-step differentiated learning are centered around the curriculum. However, in reality one of the most difficult problems mentioned by many inservice teachers is that students are not interested in school mathematics because some of them tended to learn mathematics in advance in private institutes and others felt difficult from school mathematics. Thus, alternative solutions are strongly required. When students are more interested in mathematics classes and instructional materials, as a more effective way of teaching, are appropriately used, problems mentioned above are expected to be solved. In order to solve problems, additionally, this study investigated the amount of time assigned to each area of mathematics textbooks from level 1-A to level 6-B, which are currently used in elementary school. This study also examined inservice teachers' views about how instructional materials should be used. This will be helpful on using and developing instructional materials, and it will lead to more exciting classes of mathematics. However, these teaching materials need to be carefully used regarding their relationships with pedagogical transfer, metacognitive movement, and localization.