algebra

Developing Conceptual Understanding and Procedural Fluency

Developing Conceptual Understanding and Procedural Fluency

Apr 29, 2019

By Melissa Schumacher, Curriculum Writer Which is more important for students to have: conceptual understanding or procedural fluency? Does one have to be taught before the other can emerge? Some argue that procedure has to come first, because without procedural...

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Truth and Consequences Revisited

Truth and Consequences Revisited

Jan 21, 2019

By William McCallum What are extraneous solutions? A while ago I wrote a blog post about solving equations where I talked about seeing the steps in solving equations as logical deductions. Thus the steps \begin{align*}3x + 2 &= 5\\3x &= 3\\x &= 1\\...

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