@karencampe.bsky.social @tonylizza.bsky.social @singmath.bsky.social
For HW, Ss chose excerpts to read between Cheng or Strogatz + wrote Qs/comments about what interested them + responded to a classmate(s) response. Led to a nice student-led talk on density of numbers + sizes of different #♾️
Fun analogies made by Ss during their discussion grappling with infinities:
- sampling infinite oceans for fish
- different quantities of feathers of same density
- grapes and watermelons in different places
#ITeachMath #MathSky
Fun conclusions by Ss:
1) #♾️ doesn’t act like a number, so we have to use logic instead of treating it mindlessly as a number
2) math was starting to feel like philosophy… some Ss liked this and others wanted less abstraction and more concrete examples
What hooked me into thinking about the kinds of Infinity at high school was Naum Ya. Vilenkin's story "The extraordinary hotel, or the thousand and first journey of Ion the Quiet." It can be found in his book "In Search of Infinity" or the earlier "Stories about Sets"
Thanks! Is it weird that I don’t love Substack flooding my email? I want to subscribe, but without receiving any email and instead reading at my own pace when I choose to open the app? Is there a way to do this other than making all my substack emails filter into the trash?
You can set your preferences in your substack account. Go to Manage Subscription and turn off email notifications. You can control this separately for each substack subscription, and even for sections within a substack, if they use sections.
Comments
For HW, Ss chose excerpts to read between Cheng or Strogatz + wrote Qs/comments about what interested them + responded to a classmate(s) response. Led to a nice student-led talk on density of numbers + sizes of different #♾️
- sampling infinite oceans for fish
- different quantities of feathers of same density
- grapes and watermelons in different places
#ITeachMath #MathSky
1) #♾️ doesn’t act like a number, so we have to use logic instead of treating it mindlessly as a number
2) math was starting to feel like philosophy… some Ss liked this and others wanted less abstraction and more concrete examples
https://scholar.google.com/scholar?cluster=16322924227710273047&hl=en&as_sdt=0,33
https://bsky.app/profile/joeldavidhamkins.bsky.social/post/3lems5z5r422m