Exploring the mathematics of motion through construction and collaboration.

In this paper, we give a detailed account of the design principles and construction of activities designed for learning about the relationships between position, velocity and acceleration, and corresponding kinematics graphs. Our approach is model-based, that is, it focuses attention on the idea tha...

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Bibliographic Details
Published in:Journal of Computer Assisted Learning Vol. 22; no. 2; pp. 114 - 137
Main Authors: Simpson G, Hoyles C, Noss R
Format: pictorial research tables/charts Journal Article
Published: Wiley-Blackwell Apr2006
Online Access:View this record in EBSCOhost
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      pub: Wiley-Blackwell
      place: Malden, Massachusetts
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        10.1111/j.1365-2729.2006.00164.x
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        atl: Exploring the mathematics of motion through construction and collaboration.
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          Simpson G
          Hoyles C
          Noss R
        affil: London Knowledge Lab, Institute of Education, University of London, London, UK
      sug:
        subj:
          Collaboration
          Computer-Assisted Instruction
          Mathematics Education
          Motion Education
          England
          Mediterranean Islands
          Students
          Human
      ab: In this paper, we give a detailed account of the design principles and construction of activities designed for learning about the relationships between position, velocity and acceleration, and corresponding kinematics graphs. Our approach is model-based, that is, it focuses attention on the idea that students constructed their own models - in the form of programs - to formalise and thus extend their existing knowledge. In these activities, students controlled the movement of objects in a programming environment, recording the motion data and plotting corresponding position-time and velocity-time graphs. They shared their findings on a specially designed Web-based collaboration system, and posted cross-site challenges to which others could react. We present learning episodes that provide evidence of students making discoveries about the relationships between different representations of motion. We conjecture that these discoveries arose from their activity in building models of motion and their participation in classroom and online communities.
      pubtype: Academic Journal
      doctype:
        pictorial
        research
        tables/charts
        Journal Article
      ougenre: Article
    language: English
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