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What Do We Mean by Model?. I - Model Development. Students in cooperative groups design and perform experiments. use computers to collect and analyze data. formulate functional relationship between variables. evaluate “fit” to data. I - Model Development. Post-lab analysis
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I - Model Development • Students in cooperative groups • design and perform experiments. • use computers to collect and analyze data. • formulate functional relationship between variables. • evaluate “fit” to data.
I - Model Development • Post-lab analysis • whiteboard presentation of student findings • multiple representations • verbal • diagrammatic • graphical • algebraic • justification of conclusions
II - Model Deployment • In post-lab extension, the instructor • brings closure to the experiment. • fleshes out details of the model, relating common features of various representations. • helps students to abstract the model from the context in which it was developed.
II - Model Deployment • In deployment activities, students • learn to apply model to variety of related situations. • identify system composition • accurately represent its structure • articulate their understanding in oral presentations. • are guided by instructor's questions: • Why did you do that? • How do you know that?
II - Model Deployment • Objectives: • to improve the quality of scientific discourse. • move toward progressive deepening of student understanding of models and modeling with each pass through the modeling cycle. • get students to see models everywhere! • Ultimate Objective: • autonomous scientific thinkers fluent in all aspects of conceptual and mathematical modeling.