Translating Euclid reports on an effort to transform geometry for
students from a stylus-and-clay-tablet corpus of historical
theorems to a stimulating computer-supported collaborative-learning
inquiry experience. The origin of geometry was a turning point in
the pre-history of informatics, literacy, and rational thought.
Yet, this triumph of human intellect became ossified through
historic layers of systematization, beginning with Euclid's
organization of the Elements of geometry. Often taught by
memorization of procedures, theorems, and proofs, geometry in
schooling rarely conveys its underlying intellectual excitement.
The recent development of dynamic-geometry software offers an
opportunity to translate the study of geometry into a contemporary
vernacular. However, this involves transformations along multiple
dimensions of the conceptual and practical context of learning.
Translating Euclid steps through the multiple challenges involved
in redesigning geometry education to take advantage of computer
support. Networked computers portend an interactive approach to
exploring dynamic geometry as well as broadened prospects for
collaboration. The proposed conception of geometry emphasizes the
central role of the construction of dependencies as a design
activity, integrating human creation and mathematical discovery to
form a human-centered approach to mathematics. This book chronicles
an iterative effort to adapt technology, theory, pedagogy and
practice to support this vision of collaborative dynamic geometry
and to evolve the approach through on-going cycles of trial with
students and refinement of resources. It thereby provides a case
study of a design-based research effort in computer-supported
collaborative learning from a human-centered informatics
perspective.
General
Imprint: |
Springer International Publishing AG
|
Country of origin: |
Switzerland |
Series: |
Synthesis Lectures on Human-Centered Informatics |
Release date: |
May 2013 |
First published: |
2013 |
Authors: |
Gerry Stahl
|
Dimensions: |
235 x 191mm (L x W) |
Format: |
Paperback
|
Pages: |
221 |
ISBN-13: |
978-3-03-101072-9 |
Languages: |
English
|
Subtitles: |
English
|
Categories: |
Books >
Computing & IT >
Social & legal aspects of computing >
Human-computer interaction
|
LSN: |
3-03-101072-8 |
Barcode: |
9783031010729 |
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