• Communications of Mathematical Education
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• v.36 no.1
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• pp.139-170
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• 2022

In relation to differentiated mathematics education, Russia has a longer experience in research and practice than Korea. The mathematics curriculum for 10-11 grades currently in use in Russia is a level-specific curriculum and consists of a basic level and an advanced level. And in Russia mathematics textbooks for 10-11 grades are also textbooks for each level. In this study, we analyzed basic level textbook and advanced level textbook written by the same author group among the textbooks 'Algebra and Introduction of Mathematical Analysis' of the 10th grade in Russia. To analyze the main learning contents and textbook descriptions that were added in advanced level the 'real numbers' and 'complex numbers' sections were studied. The main contents of basic and advanced level textbooks for 'functions', 'trigonometric functions', 'trigonometric equations', 'conversions of trigonometric expressions', and 'derivatives', which are included in both basic and advanced textbooks were compared and analyzed, and the descriptive characteristics of the definitions and theorems presented in the two levels of textbooks were also compared and analyzed. From the results of this study, it is expected that various information on the contents of various level textbooks of mathematics, the differences between textbooks for each level, and strategies for the composition of textbooks for various level can be accumulated.

• Journal of The Korean Association of Information Education
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• v.10 no.2
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• pp.201-208
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• 2006

This study is to make in-depth and supplementary web-based courseware concerning each student's developed intelligence. The seventh elementary school social studies in-depth and supplementary curriculum is student-centered curriculum that concerns a student's learning ability, aptitude, concern, interesting. career and so on. But, present social science courseware does study without regard to learners's interest and aptitude So in this study, We have a target to build and develope web-based devise that helps student's in-depth and supplementary learning after evaluating multiple intelligence. That should be based on student's favorite intelligence in multiple intelligence theory. Considering Intrapersonal intelligence, Interpersonal intelligence, Musical intelligence, Bodily-kinesthetic intelligence, Logical-mathematical intelligence, Linguistic intelligence, Spatial intelligence, We expect student's effective in-depth and supplementary learning based on each student's interest and capability.

• 한국데이터정보과학회:학술대회논문집
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• 2005.10a
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• pp.49-57
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• 2005

지금의 교실 수업은 토론학습에 익숙한 학생들로 수업에 흥미를 가지는 수업에 관심을 많이 갖고 있으며 수준별 수업을 통한 심화.보충형과 특별 보충과정으로 학생 지도를 하고 있다. 교실마다 수학 학습을 기피하는 현상이 두드려지고 있으며 개인별 수준 차가 더욱 심한 상태라서 학생들에게 동기를 유발하여 수학에 대한 학습 의욕을 고취하고 교실 밖의 학습자를 교실내로 흡수하기 위한 방법론으로 모둠별 돌림수학, 수준별 모둠 구성을 통해 박수를 치기, 구구단을 이용한 학습과 수학 모둠 노래를 통하여 학습동기를 유발하는 학습 모형을 소개한다. 그리고 수행평가나 포트폴리오, 수학 감상문을 통해 동기 유발이 가능한 실제 학습을 개발하여 공교육의 내실화와 창의력을 유발하는 자아실현의 일환으로 신선한 교실 수업의 보탬이 되었으면 한다.

• Communications of Mathematical Education
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• v.25 no.1
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• pp.79-97
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• 2011

As the necessity of the special education for the gifted to develop their talents and national power is gradually recognized, many kinds of teaching-learning materials have been developed. However, the development tendency of the materials is not systematically studied because their database is not sufficiently constructed nor most of them are made public. In this research, we would like to provide the reference data to improve the quality of developed materials and reduce the deviation among the classified fields when we will develop the teaching-learning materials by collecting the already developed materials and analyse their development tendency by classifying them according to the contents.

• School Mathematics
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• v.19 no.2
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• pp.289-317
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• 2017

This study aims to explore how Korean middle-school mathematics textbooks on functions provide students an opportunity-to-learn [OTL]. For this purpose, we investigate 3 textbooks in terms of mathematics content and practice, the level of cognitive demands of mathematical tasks, types of student responses, types of context-based tasks, and connections among the tasks. The findings from the data analysis suggest as follows: a) an opportunity-to-learn to connect procedures to functional concepts and new ideas of functions to the existing one is very limited; b) the textbooks seem to provide students an OTL to understand functions as definitions, rules and conventions and to experience repeatedly procedural executions through worked examples and mathematics tasks; c) students may not experience to explain their own ideas/thinking by using mathematical sentence or justify their own cognitive processes; and d) students can be exposed to get a sense of mathematics as a set of fragmented and isolated facts or procedures, rather than to encourage to expand and deepen their understanding of functions.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.1
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• pp.149-168
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• 2014

Growing in its size, the contents of the teaching-learning programs for mathematically gifted children from A program in Seoul Metropolitan Office of Education were examined in terms of the individual subjects provided through the courses of gifted education programs, and it was evaluated based on the revised version of the existing module. As a result, the educational objectives of teaching-learning program were clear, differentiated and obtainable. Among the program, the advanced parts were more than the selective parts, which mainly consisted of numbers and calculation, shapes, regularity and problem solving parts and had latest contents of research in balance. Additionally, every part of the program needs mathematical and creative thinking and approach and has proper evaluation index for problem solving. The presented materials in the programs are specific and appropriate, though some of them did not suggest the evaluation index for cultivating personality and value clearly and the reference books. The teaching-learning programs were focusing on problem-based learning and cooperative learning and using performance assessment for evaluation.

• Journal of Educational Research in Mathematics
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• v.15 no.3
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• pp.335-352
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• 2005

In this paper, we consider a center of gravity of convex polygon which could be an enriched topic for the gifted in mathematics(7th grades) and suggested a case that the gifted experienced a center of gravity. Based on properties of Archimedes' center of mass, we define it as a point which make a polygon be in counterpoised with its area and explain how to find that point through using integral calculus or internal division. Then we consider that the gifted would experience various kinds of mathematical thinking and apply diverse ways of problem solving 3s searching for this topic. As this research, the teacher would be able to conduct the gifted with penetration into center of gravity and to let them participate in advanced learning courses which value ma-thematical thinking while they undergo similar experiences such as mathematicians.

• Proceedings of The KACE
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• 2017.08a
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• pp.185-188
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• 2017

본 논문에서는 과학영재교육원 초등심화 수학 정보 과정의 30명을 대상으로 프로그래밍 학습을 수행한 후 사회성의 변화를 분석하였다. 수업에서는 교육용 프로그래밍 언어인 스크래치의 리믹스 기능을 활용하였으며, 협동학습이 가능하도록 동료 학습자의 프로젝트를 수정 보완하도록 하고 최종적으로 팀 단위의 결과물을 도출하였다. 연구결과에 따르면, 스크래치의 리믹스 기능을 활용한 프로그래밍 학습이 사회성 향상에 통계적으로 유의미하며, 사회성 구성 요소인 사교성, 자주성, 협동심에서 긍정적인 효과가 있는 것으로 나타났다.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.12 no.3
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• pp.596-601
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• 2008

The study shows the typical 7 models of gifted students teaching-learning developed at home and abroad so far and suggests on integrated teaching-learning model that we can commonly apply to mathematics-information gifted students. This teaching-learning model is developed, based on Renzulli Enrichment Triad Model.

• Communications of Mathematical Education
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• v.24 no.1
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• pp.235-257
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• 2010

Contemporary belief is that the creative talented can create new knowledge and lead national development, so lots of countries in the world have interest in Gifted Education. As we well know, U.S.A., England, Russia, Germany, Australia, Israel, and Singapore enforce related laws in Gifted Education to offer Gifted Classes, and our government has also created an Improvement Act in January, 2000 and Enforcement Ordinance for Gifted Improvement Act was also announced in April, 2002. Through this initiation Gifted Education can be possible. Enforcement Ordinance was revised in October, 2008. The main purpose of this revision was to expand the opportunity of Gifted Education to students with special education needs. One of these programs is, the opportunity of Gifted Education to be offered to lots of the Gifted by establishing Special Classes at each school. Also, it is important that the quality of Gifted Education should be combined with the expansion of opportunity for the Gifted. Social opinion is that it will be reckless only to expand the opportunity for the Gifted Education, therefore, assessment on the Teaching and Learning Program for the Gifted is indispensible. In this study, 3 middle schools were selected for the Teaching and Learning Programs in mathematics. Each 1st Grade was reviewed and analyzed through comparative tables between Regular and Gifted Education Programs. Also reviewed was the content of what should be taught, and programs were evaluated on assessment standards which were revised and modified from the present teaching and learning programs in mathematics. Below, research issues were set up to assess the formation of content areas and appropriateness for Teaching and Learning Programs for the Gifted in mathematics. A. Is the formation of special class content areas complying with the 7th national curriculum? 1. Which content areas of regular curriculum is applied in this program? 2. Among Enrichment and Selection in Curriculum for the Gifted, which one is applied in this programs? 3. Are the content areas organized and performed properly? B. Are the Programs for the Gifted appropriate? 1. Are the Educational goals of the Programs aligned with that of Gifted Education in mathematics? 2. Does the content of each program reflect characteristics of mathematical Gifted students and express their mathematical talents? 3. Are Teaching and Learning models and methods diverse enough to express their talents? 4. Can the assessment on each program reflect the Learning goals and content, and enhance Gifted students' thinking ability? The conclusions are as follows: First, the best contents to be taught to the mathematical Gifted were found to be the Numeration, Arithmetic, Geometry, Measurement, Probability, Statistics, Letter and Expression. Also, Enrichment area and Selection area within the curriculum for the Gifted were offered in many ways so that their Giftedness could be fully enhanced. Second, the educational goals of Teaching and Learning Programs for the mathematical Gifted students were in accordance with the directions of mathematical education and philosophy. Also, it reflected that their research ability was successful in reaching the educational goals of improving creativity, thinking ability, problem-solving ability, all of which are required in the set curriculum. In order to accomplish the goals, visualization, symbolization, phasing and exploring strategies were used effectively. Many different of lecturing types, cooperative learning, discovery learning were applied to accomplish the Teaching and Learning model goals. For Teaching and Learning activities, various strategies and models were used to express the students' talents. These activities included experiments, exploration, application, estimation, guess, discussion (conjecture and refutation) reconsideration and so on. There were no mention to the students about evaluation and paper exams. While the program activities were being performed, educational goals and assessment methods were reflected, that is, products, performance assessment, and portfolio were mainly used rather than just paper assessment.