Can You Make Them Fit? Can You Make Them Fit? What were you - - PowerPoint PPT Presentation

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Can You Make Them Fit? Can You Make Them Fit? What were you - - PowerPoint PPT Presentation

Can You Make Them Fit? Can You Make Them Fit? What were you thinking about as you tried to complete the picture? Beyond Numbers: Building Spatial Reasoning in Children Dennis McDonald dmcdonald@hcpss.org Mathematics Support Teacher


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Can You Make Them Fit?

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Can You Make Them Fit?

What were you thinking about as you tried to complete the picture?

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@HCPSSElemMath

Beyond Numbers: Building Spatial Reasoning in Children

Dennis McDonald

dmcdonald@hcpss.org

Mathematics Support Teacher Talbott Springs Elementary

11/14/19

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What is Spatial Reasoning?

  • composing and decomposing shapes and figures
  • visualization, or the ability to mentally manipulate,

rotate, twist, or invert pictures or objects

  • spatial orientation, or the ability to recognize an object

even when the object’s orientation changes

  • spatial relations, or the ability to recognize spatial

patterns, to understand spatial hierarchies, and to imagine maps from verbal descriptions

Rich and Brendefur (2018)

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What is Spatial Reasoning?

Spatial thinking is what allows us to mentally “picture the locations of objects, their shapes, their relations to each

  • ther and the paths they take

as they move.”

Newcombe (2010)

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Why Emphasize Spatial Reasoning?

“Brain imaging studies confirm that similar areas are activated when people process both spatial and number tasks.”

Hubbard et al. (2005) Umiltà, Priftis, & Zorzi (2009)

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Why Emphasize Spatial Reasoning?

“Students who perform better

  • n spatial tasks also perform

better on tests of mathematical ability”

Cheng, Mix (2014)

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Spatial Ability & Careers

Rich and Brendefur (2018)

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Where on (Google) Earth am I?

TOP BOTTOM RIGHT LEFT

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Building Spatial Reasoning

  • Explore with maps.
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Building Spatial Reasoning

  • Use spatial talk.

– Nora Newcombe and Andrea Frick (2010)

"Which way does the sheet fit on the bed? Does the left shoelace go over or under—and which one is the left? Will the groceries fit in

  • ne bag? Which shapes do I get if

I cut my bagel the other way— and will it still fit in the toaster?”

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Building Spatial Reasoning

  • Encourage gesturing.

– Chu and Kita (2011)

[P]eople were better at performing mental rotation tasks (a key measure

  • f spatial thinking) when they were

encouraged to use their hands 5-year-olds who spontaneously gestured during spatial problem-solving were more like to get the right answer

– Ehrlich et al (2006)

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Building Spatial Reasoning

  • Provide opportunities for

using building toys and puzzles.

– Newman et al (2016)

8-year-old children showed measurable improvements in their mental rotation abilities after just five, 30-minute play

  • sessions. Post-training, they also

showed changes in brain activity, suggesting that these kids had changed the way they processed spatial information.

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Building Spatial Reasoning

  • Provide opportunities for
  • rigami and other paper-

folding crafts

– Hodgkiss, et al (2018)

For instance, a study of British primary school students found that kids with stronger mental folding abilities scored better on tests biology, physics, and chemistry. school children improved their performance on a very challenging mental folding task after just a few hours of instruction in and hands-on exploration of origami

– Burte, et al (2017)

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Questions?