Is Depth of Knowledge Complex or Complicated?

Only a few months ago, I used the words “complex” and “complicated” interchangeably as synonyms for “difficult.”  Recently  I learned about the differences between their meanings and I now see their significance everywhere, especially in math education.  Specifically, I am concerned about Depth of Knowledge (DOK) being viewed as a complicated issue when it is really…

What Does The Common Core’s “Coherence” Shift Look Like?

When the Common Core State Standards (CCSS) for Mathematics were written, the authors defined three shifts (coherence, focus, and rigor) to articulate “how the standards differ from previous standards—and the necessary shifts they call for.”  The shifts are useful in articulating the big picture as to how things have changed.  This blog post delves solely into…

Comparing the Texas Essential Knowledge and Skills to the Common Core State Standards

How do the Common Core State Standards‘ (CCSS) description for how students are expected to demonstrate their mathematical understanding compare to the Texas Essential Knowledge and Skills‘ (TEKS) description?  I wondered about that question as this summer I will be doing my first workshops and presentations in Texas.  As I primarily work in California where…

Making Sense of the Standards for Mathematical Practice

The Common Core’s Standards for Mathematical Practice significantly progress efforts to articulate how students should demonstrate their mathematical proficiency.  These standards “describe varieties of expertise that mathematics educators at all levels should seek to develop in their students” (Standards for Mathematical Practice, 2010) by giving expectations for the depth of students’ understanding, the skills students should…

Food for Thought – Published in Education Week

My article on the interesting similarities shared by healthy eating and math education was published in Education Week (Vol. 31, Issue 33, Page 29) on June 6, 2012: The philosophies behind healthy eating and math instruction share interesting similarities that provide useful insight into the direction educational policymakers should take. Healthy eating means consuming the right…

Article Published in March 2012 CMC ComMuniCator

Robert Kaplinsky and Melissa Canham’s article Practicing Questioning Skills as a Tool to Assess Student Understanding about an activity called Questioning Scenarios was published in the March 2012 issue of the California Mathematics Council (CMC) ComMuniCator. The Questioning Scenarios activity’s purpose is to give educators an opportunity to practice their questioning skills by role playing…