KSA #05 Differentiation · KSA #06 Planning · KSA #07 Student Needs · KSA #11 Assessment · KSA #15 Professional Learning

Open Problems: Learning to Manage Variation & Working Memory

Mason and Johnston-Wilder (2006) began their article with the following: “the purpose of a task is to initiate mathematically fruitful activity that leads to a transformation in what learners are sensitized to notice and competent to carry out” (p. 25). I read this quote and I was hooked. I think this sentence phrases what I… Continue reading Open Problems: Learning to Manage Variation & Working Memory

KSA #05 Differentiation · KSA #06 Planning · KSA #07 Student Needs · KSA #15 Professional Learning

Using Difference to Draw Attention

Until learning about VTL I hadn’t really thought about how I could / should use contrast in my lessons. Now, I’m really seeing how it is a powerful tool. Today in class we were looking at patterns and equations. Specifically we were looking at the affect of a changing coefficient, while keeping the constant the same for… Continue reading Using Difference to Draw Attention

KSA #07 Student Needs · KSA #09 Instructional Strategies · KSA #11 Assessment · KSA #15 Professional Learning

Assessment FOR learning Through Effective Questioning

As I read this chapter I was able to see correlation between this chapter and Dylan William’s next book Embedding Formative Assessment which are reading as part of the Galileo sessions with CBE. William (2011) gives examples of question shells on page 86. I really liked how there are examples given that show possible questions and… Continue reading Assessment FOR learning Through Effective Questioning

KSA #03 Program of Studies · KSA #04 Subject Knowledge · KSA #09 Instructional Strategies

Mathematical Understanding of Teachers

I was blown away this summer when Brent Davis shared his research about teacher knowledge and that a teacher having high level mathematics courses doesn’t make them a better math teacher. When I heard that one of our courses over the summer was on metaphors in mathematics, I panicked. I didn’t see at all how… Continue reading Mathematical Understanding of Teachers

KSA #04 Subject Knowledge · KSA #05 Differentiation · KSA #06 Planning · KSA #07 Student Needs · KSA #09 Instructional Strategies · KSA #15 Professional Learning

Variation Pedagogy

One of the big things that jumped out at me from the Math Minds article was the sentence “when tasks are organized such that each piece builds on understanding of the previous, assessing understanding at the end of a lesson or even at several intervals during a lesson is not enough.” This is something that… Continue reading Variation Pedagogy

KSA #04 Subject Knowledge · KSA #06 Planning · KSA #09 Instructional Strategies · KSA #15 Professional Learning

Variation Theory and it’s Application to Teaching and Learning Math

So, truth be told last night I was feeling exhausted, overwhelmed and defeated. This week there has been something every week and the start to a new semester, so work has been insane. It’s basketball season and I’m coaching our senior boys, we had our first games this week and practices and now a tournament.… Continue reading Variation Theory and it’s Application to Teaching and Learning Math