Michele Moment Retake by Francesca Gandini https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l In this real lesson from a course on Geometry For Elementary Teachers the instructor (Nina) has just introduced the definitions of various special quadrilaterals: square, rectangle, rhombus, parallelogram, trapezoid. In this very short video clip we see part of the discussion that follows, as Nina begins to introduce Euler/Venn diagrams as a tool for depicting relationships between different types of quadrilaterals. She calls on Michele to place a particular example quadrilateral on her Venn diagram and gets a surprising answer. en-us 2021-05-18 22:21:11 UTC 2026-01-27 13:30:08 UTC hello@padlet.com https://padlet.net/icons/png/1f4ad.png https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590202865 I think I would ask her to justify her answer. like, "Okay, so you'd put it in the middle. Can you explain why you would choose that?" because it's not clear to me why she wants to do that, and maybe she'll figure it out on her own while she's answering.

]]> 2021-06-07 14:57:28 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590202865 I would ask her to give her reason. https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590203194 2021-06-07 14:57:34 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590203194 Why? https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590203846 Follow up with "And why would it go there"? As of yet, I don't have an idea of what Michele's thinking. It seems important to make this question seem like a natural part of the conversation, rather than an indicator that "something wrong has happened".]]> 2021-06-07 14:57:45 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590203846 I would ask her why she would put it there. I'd like to get at her reasoning. Or perhaps ask another student to explain? https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590204318 2021-06-07 14:57:53 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590204318 I would ask her to explain her choice. Why do you think it goes there? nazelli1 https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590206286 2021-06-07 14:58:32 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590206286 https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590209118 I'd be temped to ask why, but maybe would also wait and see what the rest of the class thinks, or if they ask for clarification. 

]]> 2021-06-07 14:59:24 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590209118 Should we be sensitive to using "should" or "would" when asking a question? https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590213658 2021-06-07 15:00:48 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590213658 She knows what definitions mean and that details matter (exactly one versus at least one) cvonrenesse https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590214321 2021-06-07 15:00:59 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590214321 She's using what she thinks is the definition of a rhombus to classify this shape. She knows how to use the diagram. She is asking good questions about "does a pair of parallel lines mean exactly 1, or at least 1?" I might say "Hmm, I'm not sure about this definition. Does someone else want to share what they think a rhombus is?" https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590214884 2021-06-07 15:01:11 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590214884 https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590215571 She's using a different definition (for a trapezoid). She's open to questioning the specifics of that definition.

My first instinct is to either say that this is not the definition of a rhombus, or run her statement by other students to get their thoughts (perhaps someone will supply a different definition)]]> 2021-06-07 15:01:25 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590215571 she's thinking about the definition of a trapezoid with a lot of nuance (but not the definition of a rhombus) ninawhite https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590216964 2021-06-07 15:01:54 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590216964 https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590217887 She definitely is referencing a definition (perhaps incorrectly). This is good. I think it's hard to judge what to do next without seeing her comfort level in the class.]]> 2021-06-07 15:02:14 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590217887 Ask another student to revoice next or ask Michelle a question? cvonrenesse https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590218192 2021-06-07 15:02:20 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590218192 she knows mathematical definitions are made by humans ninawhite https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590219611 2021-06-07 15:02:47 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590219611 Ask a student to follow up on her questions or offer their own answer. But do not confirm or reject her answer https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590219745 2021-06-07 15:02:49 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590219745 I like that she used "at least". https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590220764

]]> 2021-06-07 15:03:09 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590220764 Its ok to make "mistakes" - you always do something right cvonrenesse https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590224893 2021-06-07 15:04:36 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590224893 Positive... Student is allowed express her thinking without holding back. https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590224945 2021-06-07 15:04:37 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590224945 https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590225250 I love that Nina puts some of the onus on herself--"I should" have given you the definition, here it is now, to normalize her mistake but also to share that she's not perfect either.]]> 2021-06-07 15:04:43 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590225250 Michelle got clarification on her definition, but also got praise/acknowledgement for appealing to a definition and correctly placing it using that definition. nazelli1 https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590225451 2021-06-07 15:04:47 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590225451 https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590225648 Michele learned how it's okay to revise what you think. It's unclear how much the other students experienced because this interaction did not directly engage them.]]> 2021-06-07 15:04:51 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590225648 Seeing an instructor oversight and an apology https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590226130 2021-06-07 15:05:01 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590226130 There is something positive from a mistake. https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590226314

]]> 2021-06-07 15:05:06 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590226314 https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590226496 Michelle heard things she did correct (venn diagram) and incorrect (definition of rhombus)]]> 2021-06-07 15:05:10 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590226496 https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590228580 While she's made aware of her confusion about the definition, she also sees the instructor take some responsibility for clearly communicating the definition.]]> 2021-06-07 15:05:38 UTC https://padlet.com/fragandiphd/ys82dlx0t2oc6e0l/wish/1590228580