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Many administrators want teachers to engage students in the learning - as such student engagement is pretty vague. Although this document is dated 1999, the indicators have value. Seems like a good place to start.

"A study conducted by two Michigan psychologists, for example, reports that middle-school math students asked to anticipate how linear and exponential factors work-before this information was taught-became more curious about the content of the lessons they then proceeded to learn. Even more importantly, the act of venturing predictions prompted them to understand the material more deeply as they engaged in reasoning and sense-making about math instead of mere memorization."

"Mark talked about the idea of using Evidence-Based Arguments as a starting point. Every historical investigation needs to begin with a great question. Then they asked kids to do research and create videos. But what they got was disappointing. What they got was basically text with pictures, a script with a background. It wasn't a story, it wasn't engaging, and it often didn't really answer the question.  They begin to realize that they needed to learn more about how to create high-quality documentaries, how to use images and video to actually tell a story. And eventually they came up with a Four Step Process that students work through to create high-quality documentaries:" 4 Step Process for creating HST videos. I don't necessarily agree with the author's thought that tech should not be introduced until step #4, as tech can enhance 1-3 just as well. The teacher just needs to model good behavior and help students develop structures for the work in these phases for it to be successful.