• Title/Summary/Keyword: secondary school mathematics

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The Secondary Gifted Education Teachers' Perceptions of the STEAM and the Convergence Gifted Education (중등 영재 지도교사들의 융합인재교육(STEAM)과 융합영재교육에 대한 인식)

  • Seo, BoKyoung;Maeng, HeeJu
    • Journal of Gifted/Talented Education
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    • v.26 no.1
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    • pp.53-76
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    • 2016
  • This research studies the perception to gifted education teachers between the middle school gifted education for STEAM and Convergence Gifted Education for revitalizing Convergence Gifted Education. The conclusions according to the analysis, it shows that the awareness of gifted education teachers for Convergence Gifted Education is lower than the level of the awareness for STEAM, and it appears that the Gifted education teachers especially has the experience adapting Convergence Gifted Education who awareness for Convergence Gifted Education is the highest. On the other hand, not only teachers has the experience adapting Convergence Gifted Education and the very poorly recognition for the task of Comprehensive Plan for Gifted Education promotion including the development of an creative and convergence content, a they has the very low experience for the development. And it analyzes that although there is no meaningful differences, teachers who are in science gifted teachers and the mature experienced man realizes very optimistically the necessity need of Convergence Gifted Education. Therefore, it analyzes that recognition to the necessity need of Convergence Gifted Education is reinforced through the training for the gifted teachers in the mathematics gifted education and in less teaching experience. But it points out that answers over the majority cognized to resemble the Convergence Gifted Education and STEAM, though the object is only different. Furthermore, it suggests that the differentiated Convergence Gifted Education curriculum providing the suitableness for the characteristic and level is needed for the desirable fixedness.

The Development and Application of Girih tiling Program for the Math-Gifted Student in Elementary School (Girih 타일링을 이용한 초등수학영재 프로그램 개발 및 적용 연구)

  • Park, Hye-Jeong;Cho, Young-Mi
    • Journal of Gifted/Talented Education
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    • v.22 no.3
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    • pp.619-637
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    • 2012
  • The purpose of this study is to develop a new program for elementary math-gifted students by using 'Girih Tililng' and apply it to the elementary students to improve their math-ability. Girih Tililng is well known for 'the secrets of mathematics hidden in Mosque decoration' with lots of recent attention from the world. The process of this study is as follows; (1) Reference research has been done for various tiling theories and the theories have been utilized for making this study applicable. (2) The characteristic features of Mosque tiles and their basic structures have been analyzed. After logical examination of the patterns, their mathematic attributes have been found out. (3) After development of Girih tiling program, the program has been applied to math-gifted students and the program has been modified and complemented. This program which has been developed for math-gifted students is called 'Exploring the Secrets of Girih Hidden in Mosque Patterns'. The program was based on the Renzulli's three-part in-depth learning. The first part of the in-depth learning activity, as a research stage, is designed to examine Islamic patterns in various ways and get the gifted students to understand and have them motivated to learn the concept of the tiling, understanding the characteristics of Islamic patterns, investigating Islamic design, and experiencing the Girih tiles. The second part of the in-depth learning activity, as a discovery stage, is focused on investigating the mathematical features of the Girih tile, comparing Girih tiled patterns with non-Girih tiled ones, investigating the mathematical characteristics of the five Girih tiles, and filling out the blank of Islamic patterns. The third part of the in-depth learning activity, as an inquiry or a creative stage, is planned to show the students' mathematical creativity by thinking over different types of Girih tiling, making the students' own tile patterns, presenting artifacts and reflecting over production process. This program was applied to 6 students who were enrolled in an unified(math and science) gifted class of D elementary school in Daejeon. After analyzing the results produced by its application, the program was modified and complemented repeatedly. It is expected that this program and its materials used in this study will guide a direction of how to develop methodical materials for math-gifted education in elementary schools. This program is originally developed for gifted education in elementary schools, but for further study, it is hoped that this study and the program will be also utilized in the field of math-gifted or unified gifted education in secondary schools in connection with 'Penrose Tiling' or material of 'quasi-crystal'.

An Epistemological Inquiry on the Development of Statistical Concepts (통계적 개념 발달에 관한 인식론적 고찰)

  • Lee, Young-Ha;Nam, Joo-Hyun
    • The Mathematical Education
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    • v.44 no.3 s.110
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    • pp.457-475
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    • 2005
  • We have inquired on what the statistical classes of the secondary schools had been aiming to, say the epistermlogical objects. And we now appreciate that the main obstacle to the systematic articulation is the lack of anticipation on what the statistical concepts are. This study focuses on the ingredients of the statistical concepts. Those are to be the ground of the systematic articulation of statistic courses, especially of the one for the school kids. Thus we required that those ingredients must satisfy the followings. i) directly related to the contents of statistics ii) psychologically developing iii) mutually exclusive each other as much as possible iv) exhaustive enough to cover all statistical concepts We examined what and how statisticians had been doing and the various previous views on these. After all we suggest the following three concepts are the core of conceptual developments of statistic, say the concept of distributions, the summarizing ability and the concept of samples. By the concepts of distributions we mean the frequency views on each random categories and that is developing from the count through the probability along ages. Summarizing ability is another important resources to embed his probe with the data set. It is not only viewed as a number but also to be anticipated as one reflecting a random phenomena. Inductive generalization is one of the most hazardous thing. Statistical induction is a scientific way of challenging this and this starts from distinguishing the chance with the inevitable consequences. One's inductive logic grows up along with one's deductive arguments, nevertheless they are different. The concept of samples reflects' one's view on the sample data and the way of compounding one's logic with the data within one's hypothesis. With these three in mind we observed Korean Statistic Curriculum from K to 12. Distributional concepts are dealt with throughout but not sequenced well. The way of summarization has been introduced in the 1 st, 5th, 7th and the 10th grade as a numerical value only. One activity on the concept of sample is given at the 6th grade. And it jumps into the statistical reasoning at the selective courses of ' Mathematics I ' or of ' Probability and Statistics ' in the grades of 11-12. We want to suggest further studies on the developing stages of these three conceptual features so as to obtain a firm basis of successive statistical articulation.

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