With Technologically Embodied Geometric Functions, students develop conceptual metaphors that directly relate computer-based sensory motor experiences of abstract function concepts. This approach relies on four foundations:
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The effectiveness of the Geometric Functions approach is based on using technology-supported hands-on activities to create close connections between students’ sensory-motor experiences and the abstract function concepts they are studying.
The foundations of this approach come from four areas:
The title Technologically Embodied Geometric Functions expresses the combination of these four foundations in the materials and in the student explorations they support.
In these explorations, students use dynamic mathematics software to create and drag an independent variable, construct a function object, use it to transform the independent variable, and observe the behavior of the resulting dependent variable. The combination of easy construction, direct dragging, and visual representation engages students’ sensory-motor systems in a compelling way that directly develops and supports their understanding of function concepts.Update History: