Hugh Beaton Public School Professional Learning

GECDSB School Based Learning Sessions (SBL)

Tuesday February 7th, 2017

Thanks for inviting Andrea and I to learn with you on your school based learning day! The group was energetic and excited to learn about meaningful manipulative use, spatial reasoning, the progression of multiplication and concreteness fading!

Here’s a summary of what we explored today:

The GECDSB Mathematics Strategy

GECDSB Math Strategy

Mathematical Proficiencies

The full GECDSB Mathematics Vision is here.

GECDSB Mathematical Proficiencies

Paying Attention to Spatial Reasoning

Paying Attention to Spatial Reasoning Document

Warm-Up: How Do You See the Dots?

We did a quick Dot-Card warm-up asking you to visualize how you saw a series of dots on the screen. We went around the table and it seemed that everyone had a different perspective.

Jo Boaler Dot Card Warm-Up

Here’s some of the ways you might have visualized the dots:

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We then explored the progression of multiplication from arrays and area models to the standard algorithm.

For a full summary, see the post below.

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Concreteness Fading

We attempted to summarize the use of manipulatives on a continuum called “Concreteness Fading”. While the name suggests that concrete manipulatives fade away over time, it is important to remember that they fade away with one layer of abstraction and then reappear as a new layer is “piled” on.

Applying Concreteness Fading to Progression of Multiplication

Hope you folks found this professional learning experience useful. I’d be delighted to come back and learn alongside you all again sometime soon!