How To Create Higher DOK Problems

Now that you’ve read about the three steps I often follow when trying to raise a math problem’s Depth of Knowledge level, I thought it might be useful to take you through the entire thought process of actually implementing those steps.  The experiences I’m describing took place while preparing with some other teachers to teach…

My Math Story

I originally wrote the text below as part of a UCLA class I taught for in-service math teachers. Many of them were going through what I had also gone through: the uncomfortable feeling of realizing that you are finally making sense of math combined with the reality that for so many years you hadn’t. I always wanted to share this online but never did because I didn’t know what people would think. I came across it again recently and realized that it was hypocritical of me to encourage people to be vulnerable and go outside of their comfort zone during trainings, yet not do the same myself.

So, here it goes…

Levels of Convincing

I recently attended a full day workshop with Jo Boaler where she shared a different way of thinking about convincing someone from Thinking Mathematically by J. Mason, L. Burton, and K. Stacey.  In the book, she identified three levels of convincing: Convince yourself Convince a friend Convince a skeptic   I immediately realized that this…

2016 Orange County Math Council Symposium

Keynote Rich Real World Problems Identify a Fraction on a Number Line Placing Fractions on A Number Line How Much Is One Third Of A Cup Of Butter? How Big Is The 2010 Guatemalan Sinkhole? How Old Is The Shepherd? Is Depth of Knowledge Complex or Complicated? Tool to Distinguish Between Depth of Knowledge Levels…

2015 CMC North Twitter Reviews

@robertkaplinsky when does a student feel like they have the power to question the questioner #cmcn15 — Shira Helft (@MsHelft) December 12, 2015 Sats on college readiness from @robertkaplinsky High school and college teachers’ – crazy difference #MTBoS #cmcn15 pic.twitter.com/ii7VCVcczP — Arjan Khalsa (@ArjanKhalsa) December 13, 2015 How old *is* the shepherd @robertkaplinsky ? #cmcn15…

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…

Content and Language Objectives using the Standards for Mathematical Practice

Math content and language objectives can be challenging to create, especially when you don’t want to explicitly tell students what they will be learning at the beginning.  Additionally, if your school is using the Sheltered Instruction Observation Protocol (SIOP) model, content and language objectives are required for every lesson.  Fortunately, the Common Core State Standards’…