Select Page

## Developing Conceptual Understanding and Procedural Fluency

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...

## Truth and Consequences Revisited

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\\...