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Rayna Smith's avatar

Really interesting to see how this prediction contest frames parent communication as a "non-interpersonal" activity! Of course some parent communication teachers do is pretty mechanical. But I think it also almost always involves some social, emotional, or relationship-building aspect, which they go on to say would be excluded. Caregivers are humans, too!

Allison Krasnow's avatar

Loving Rohr's quotes here. Thanks to you and Fawn continually reminding those of us who are math leaders far removed from classrooms of the power of spending regular time teaching in classrooms, I am now doing it quite regularly. I need dust off my blog to write publically about it so help hold me accountable to that.

This question right here is the chef's kiss (as my 11 year old would say): "How do you “press” 30 kids to develop important conceptual knowledge when the easy operational knowledge is right there?"

I'm also left wondering if that building of conceptual knowledge must always intersect with students better understanding the algorithm. For example, proving the quadratic formula. I'm not sure if in a pinch I could rederive that proof right here as I type, but I have plenty of conceptual knowledge developed and stored away in long-term memory that I can solve any quadratic-related problem you throw at me without quite remembering the proof or why each coefficient and operation in the formula is what it is. Heck. Even if I have forgotten the quadratic formula, I have a whole toolbox of conceptual knowledge that would help me solve anything related to the topic.

I've found that conceptual knowledge always has a far more long-term lasting effect than procedural knowledge and that having a deep conceptual understanding often helps you do math when the formula or procedure may be long-forgotten. This happens to me often where kids (often my own high school kid) ask me for help and I have completely forgot the procedures on how to do the problem, but can figure it out because I retain the conceptual knowledge. It doesn't always mean I can re-derive the formula, but that the conceptual understanding I have retained endures so I can still solve the problem. Annnnnnnd....in the moment, with 30 students (more like 35+ in many public high schools) are awaiting your instruction, I know why pressing on with subtract, subtract, divide is where many turn. Thanks for that chef's kiss of a question to continue to ponder.

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