Model the Learning

Before we begin, take a moment and read the number sentence below out loud . Don't think about it too much, just read it as you normally would to a class or colleague. On Language This past year, I have been doing more work in looking at how aspects of literacy creep into (and affect) how we teach and learn math. One theme that reoccured in different contexts was language, and paying close attention to what we say when we are teaching math. Over time, many of us adopt "shortcuts" when it comes to talking about the symbolic representation of mathematics. We may know what we mean to say, but for students who struggle, the meanings of these shortcuts are not always apparent, and might even cause confusion. The following are three very small, deliberate changes in language I am trying to work into my practice moving forward. Though each is a simple change, I'm having a hard time undoing decades of bad habits! "Equals" Based on some of our work on...

One of my biggest learnings in my role as a board co-ordinator has been around mental math in elementary schools. To be honest, when I first heard the term, I assumed mental math had to do with memorization and just learning multiplication facts.  I now know it to be a procedure very rich in strategy, promoting flexibility of number, and the very important mathematical process  of representing  a problem. Being able to see the math not only contributes to the understanding of the question at hand, but also to assessing the reasonableness of the answer. Visualization and representation of mathematics does not come easily to me - I was the student who became good at math by memorizing procedures. I still have to put a lot of effort into picturing multiplication in an array or area model, or picturing factorization by splitting items into groups, or picturing what happens to fractions as they are operated upon. This past week, I had the opportunity to model the a...

This morning, as I try to get back into a routine ahead of Monday's return to work from March Break, I started reading Kathy Richardson's How Children Learn Number Concepts - A Guide to the Critical Learning Phases . This was a book that was given to me earlier this year after my role was expanded from working with grade 7-12 mathematics teachers to a full K-12 mathematics co-ordinator role. With only a background in intermediate & senior math, I've learned so much from primary and junior math teachers this year, and I'm eager to learn more about how students acquire concepts of number, relation, and computation. In her introduction, Richards describes what she calls Critical Learning Phases - "crucial mathematical ideas that students must understand if they are to find meaning in the mathematics they are expected to learn." These crucial ideas are "insights, rather than facts or procedures," meant to be carried forward as students engage in ...

This past week, I took part in a discussion on Twitter about how to best curate and provide math resources for teachers. The Mathtastic PD series I wrote about in response garnered a little bit of interest, partially because it was delivered in a blended style - each session was designed around engaging participants both in-person, as well as remotely, at the same time . In the original post, I mentioned how it was important to us to create GOOD, effective, remote PD.  As someone who lives in a somewhat rural part of the province, and a two-hour drive from my board office, I have been on the receiving end of a lot of virtual presentations. And there's nothing worse than a fuzzy, poorly-mic'ed presenter whose slides aren't legible because of the camera angle. Well, maybe that one time I joined in the conversation via my Google Hangout connection and spooked the facilitator, because it was forgotten that I was even "there." So, at the risk of just stating co...

This year, in response to feedback we had received from grade 7-12 math teachers that they would be interested in after-school professional development opportunities, we launched our Mathtastic PD series .  Our Mathtastic homepage Our goal was to offer quality professional development to teachers on a voluntary basis, on topics chosen by our math teachers. A quick poll of educators at the beginning of the year gave us an idea of the top five most-wanted PD topics: 1) Digital tools for teaching math 2) Coding in math 3) Triangulating assessment; Addressing needs of students with LD in learning math  (tie) 4) Creating visuals to support learning mathematics 5) Spiralling math curriculum While our initial goal was to have one session per month throughout the second semester, due to changes in schedules we were only able to have three afternoon sessions between February and the end of May The three workshops we were able to offer this year were: Introduction t...