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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

Characterizing Preservice Teachers’ Mathematical Understanding Of Algebraic Relationships, Leah A. Nillas Sep 2010

Characterizing Preservice Teachers’ Mathematical Understanding Of Algebraic Relationships, Leah A. Nillas

Leah A. Nillas

Qualitative research methods were employed to investigate characterization of preservice teachers’ mathematical understanding. Responses on test items involving algebraic relationships were analyzed using with-in case analysis (Miles and Huberman, 1994) and Pirie and Kieren’s (1994) model of growth of mathematical understanding. Five elementary and special education preservice teachers were the focus of this study. Analysis showed that preservice teachers demonstrated different levels of mathematical understanding. The nature of the mathematical tasks they completed in class provided contexts for their developing understanding. Findings support the need to engage preservice teachers in mathematical sense-making and reasoning in order to experience what it …


A Web 2.0/Web3d Hybrid Platform For Engaging Students In E-Learning Environments, Penny De Byl, Janet Taylor Sep 2010

A Web 2.0/Web3d Hybrid Platform For Engaging Students In E-Learning Environments, Penny De Byl, Janet Taylor

Penny de Byl

This paper explores the Web 2.0 ethos with respect to the application of pedagogy within 3D online virtual environments. 3D worlds can create a synthetic experience capturing the essence of being in a particular world or context. The AliveX3D platform adopts the Web 2.0 ethos and applies it to online 3D virtual environment forming a Web 2.0/Web3D hybrid that has wider usability than previous alternatives. This combined with the AliveX3D Scene Editor allows learning experiences, which are controlled by the learner, appear authentic and facilitate collaboration conversations to be developed simultaneously. This immersion enables learners to negotiate meaning based on …