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Ep 246: Avoid the Trap of Using Less Sophisticated Reasoning

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Manage episode 469578720 series 2858349
Content provided by Pam Harris, Kim Montague, Pam Harris, and Kim Montague. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Pam Harris, Kim Montague, Pam Harris, and Kim Montague or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.

If a student can perform an algorithm, have they developed the mathematical reasoning that operation calls for? Or are they answer-getting? In this episode Pam and Kim discuss a major trap students fall into when we teach mathematics as a series of steps to rotely memorize.
Talking Points:

  • A closer look at the multiplication algorithm and a major trap.
  • Problem String that helps give students a high does of patterns for a multiplicative strategy.
  • Algorithms disregard reasonableness.
  • Memorizing an algorithm is forgetable but every strategy learned helps build mental maps to the make subsequent strategies easier to develop.

Check out our social media
Twitter: @PWHarris
Instagram: Pam Harris_math
Facebook: Pam Harris, author, mathematics education
Linkedin: Pam Harris Consulting LLC

  continue reading

388 episodes

Artwork
iconShare
 
Manage episode 469578720 series 2858349
Content provided by Pam Harris, Kim Montague, Pam Harris, and Kim Montague. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Pam Harris, Kim Montague, Pam Harris, and Kim Montague or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.

If a student can perform an algorithm, have they developed the mathematical reasoning that operation calls for? Or are they answer-getting? In this episode Pam and Kim discuss a major trap students fall into when we teach mathematics as a series of steps to rotely memorize.
Talking Points:

  • A closer look at the multiplication algorithm and a major trap.
  • Problem String that helps give students a high does of patterns for a multiplicative strategy.
  • Algorithms disregard reasonableness.
  • Memorizing an algorithm is forgetable but every strategy learned helps build mental maps to the make subsequent strategies easier to develop.

Check out our social media
Twitter: @PWHarris
Instagram: Pam Harris_math
Facebook: Pam Harris, author, mathematics education
Linkedin: Pam Harris Consulting LLC

  continue reading

388 episodes

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