Which one speaks to you more? What math do you see? What conversations would you start? #fractiontalk #howmany #ElemMathChat #msmathchat #iteachmath #mathchat
@MrBinfield
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Math Teacher, Ontario, Canada. Always listening, always learning.
@KarenCampe this is an excellent analysis and explanation. I can tell you that the student did not have a misconception about the triangular prism. She had a valid reason that kept in the boundaries of her sorting rule. 😄
Karen Campe@MrBinfield I mean right circle is all pyramids (polygon base, ~ cross-sections, lateral faces are triangles)
Left circle is all prisms (parallel congruent bases, congruent cross-sections, lateral faces rectangles) but I think the student is noticing the square/rectangular base feature of those.
The overlap is a pyramid with a square base, so has both attributes: pointy top and square bottom.
BUT I didn't see the triangular prism in the left circle when I wrote my 1st comment.
That could be a mis-categorization if the student sees the base as "the bottom" and that prism is "lying down".
#geometry #ClassroomMath #MTBoS
Left circle is all prisms (parallel congruent bases, congruent cross-sections, lateral faces rectangles) but I think the student is noticing the square/rectangular base feature of those.
The overlap is a pyramid with a square base, so has both attributes: pointy top and square bottom.
BUT I didn't see the triangular prism in the left circle when I wrote my 1st comment.
That could be a mis-categorization if the student sees the base as "the bottom" and that prism is "lying down".
#geometry #ClassroomMath #MTBoS
@KarenCampe Thats very interesting. When you are saying “pointy top” are you referring to the apex on the pyramids? Tell me more about what you see that makes you say “square bottom.”
How often do we talk about 3D figures based on geometric properties? What would you call these two figures? What other names do they go by? Van Hiele helps us think about the goal of geometric thinking. Where does your grade land? #mathchat #elemmathchat #iteachmath #msmathchat
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@KarenCampe this is how I “saw” it growing as well. I saw the y intercept constant of two sticking out top and bottom, and then the array in the middle was changing by a unit of one on each direction each stage. You quantified this beautifully. Leveraging our spatial awareness to quantify and predict our patterns is very powerful!