Doolittle (2018) Off the grid. In S.Gerofsky (Ed.) Geometries of liberation. New York: Palgrave, pp. 101-121. Please read this very interesting piece and write a blog post on it by Sunday, December 8 at 8:00 PM. Suggested prompts: Talk about 2 or 3 'stops' you had in reading this: things that stopped you, surprised you, etc. Think about how this paper might offer new approaches to Indigenizing mathematics curriculum and teaching. Does it challenge or stretch any of your ideas around this? The author questions the grid concept "We know well the benefits of using the grid, but what are the dangers? What are the preconditions for the grid which may not be satisfied in real-world applications? What are the extremes at which the grid can fail? What are the consequences of failure? And what are the alternatives?" This questioning process makes me think of the development of Non-Euclidean geometry which also starts from questioning the truth of Euclid's 5...
Thanks Danielle, Wanyi and Anwar! Your lesson plan is OK, but I have a few suggestions as well:
ReplyDelete• The 4-minute video is cute, but it doesn't seem to add much that's really helpful from my point of view. It is mostly procedural/ mnemonic (how to and procedures) rather than promoting deeper relational understanding. Is it really worth taking up 1/3 of your lesson?
•Much of your lesson is a recap of procedures. What is new in what you are teaching the group?
•I'm not clear from the slides or the lesson plan exactly what the problems are that you are asking your class to solve. The problems on the slides seem to include the solutions already.
Think it over, and see if you can make some small tweaks to the lesson to make it clear what is new and what you would like the students to engage in. (And if you want to use the video, go for it -- just think about what it might add to the students' knowledge, attitudes, etc.)