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Construction, categorization, and consensus: student generated computational artifacts as a context for disciplinary reflection

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TLDR
Whether and how constructionist computer-supported collaborative environments can explicitly engage students in this practice of constructing and categorization schemes is explored.
Abstract
There are increasing calls to prepare K-12 students to use computational tools and principles when exploring scientific or mathematical phenomena. The purpose of this paper is to explore whether and how constructionist computer-supported collaborative environments can explicitly engage students in this practice. The Categorizer is a Javascript-based interactive gallery that allows members of a learning community to contribute computational artifacts they have constructed to a shared collection. Learners can then analyze the collection of artifacts, and sort them into user-defined categories. In a formative case study of the Categorizer for a fractal activity in three middle grade (ages 11–14) classrooms, there was evidence that participating students began to evaluate fractals based on structural and mathematical properties, and afterward could create algorithms that would generate fractals with particular area reduction rates. Further analysis revealed that students’ construction and categorization experiences could be better integrated by explicitly scaffolding discussion and negotiation of the categorization schemes they develop. This led to the development of a new module that enables teachers and students to explore points of agreement and disagreement across student categorization schemes. I conclude with a description of limitations of the study and environment, implications for the broader community, and future work.

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미국 NCTM의 Principles and Standards for School Mathematics에 나타난 수학과 교수,학습의 이론

TL;DR: The National Council of Teachers of Mathematics (NCTM) as mentioned in this paper proposed a framework for the evaluation of the performance of teachers of mathematics in South Korea, which is based on the concept of a teacher-student relationship.
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Multimodal Discourse: The Modes and Media of Contemporary Communication:

TL;DR: Dollimore as discussed by the authors argues that critical theorists should strive to understand the contradictions within our lives and our literature and explore the daemonic power of the subjects that offend our sense of tradition.
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Defining Computational Thinking for Mathematics and Science Classrooms

TL;DR: This paper proposes a definition of computational thinking for mathematics and science in the form of a taxonomy consisting of four main categories: data practices, modeling and simulation practices, computational problem solving practices, and systems thinking practices.

Computational Thinking 計算論的思考

TL;DR: In this article, a universally applicable attitude and skill set for computer science is presented, which is a set of skills and attitudes that everyone would be eager to learn and use, not just computer scientists.
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미국 Common Core State Standards for Mathematics 소개

TL;DR: The Common Core State Standards for mathematics which was released on June 2, 2010 in the U.S.A. are aligned with college and work expectations, and include rigorous content and application of knowledge through high-order skills.
References
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Book

Case Study Research: Design and Methods

Robert K. Yin
TL;DR: In this article, buku ini mencakup lebih dari 50 studi kasus, memberikan perhatian untuk analisis kuantitatif, membahas lebah lengkap penggunaan desain metode campuran penelitian, and termasuk wawasan metodologi baru.
Book

Discovery of Grounded Theory: Strategies for Qualitative Research

TL;DR: The Discovery of Grounded Theory as mentioned in this paper is a book about the discovery of grounded theories from data, both substantive and formal, which is a major task confronting sociologists and is understandable to both experts and laymen.

Case Study Research Design And Methods

TL;DR: The case study research design and methods is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can download it instantly.
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