Now that I have written up my take-aways from each session, I have gone through to figure out what are my overall take-aways.
Really important reminders:
- make sure to have some lessons that are based on the
following formats: guided discovery, reasoning and proof, data collection and
analysis, interesting application, interdisciplinary connection, problem
solving, counterintuitive phenomenon
- algebra is generalized arithmetic
- all of our students deserve
proper vocabulary and conceptual understanding, not cutesy tricks
Things I want to implement this upcoming year:
- Contemplate then Calculate Routine—choose tasks with
multiple structural shortcuts
- conjecture board: record student conceptions before
introducting a new topic and then have students see if they can disprove the
conjectures through a counter-example
- have students predict the next step in a visual pattern
after being given the first two
- open # line prompts as pre-assessment
- construct right triangles in order to exactly place
irrational numbers on the number line
- data collection ideas for lines of
fit: jumping jacks (x = time), the wave or wrist squeeze (x = # of people), #
of pennies in a cup to break the noodles (x = number of noodles)
- the expanded tracks problem for the Pythagorean Theorem
- visual approximation of square roots
Resources to look into:
- Appreciating Mathematical Structure for All by Mason,
Stephens, and Watson
- Well Played 6-8 by Dacey, Gartland, and Lynch
- Make bar diagrams at Thinking Blocks
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