Day Two: Constructing number sense : facilitating the

journey for our primary students.

Your comments: both affirming and constructive

Capacity Builders: Danielle, Pat & Sue Donna Quotes in a Circle:

Pick a statement that resonated with you,

colleagues will add their thoughts, you summarize.

Learning is a trajectory – much more of a landscape than just one destination. For learning to occur we

adjust, we modify our thinking, and we find new discoveries on the journey. The landscape is comprised of : big ideas, mathematical models, and strategies that

are grappled with until key mathematical topics (number, place value, addition and subtraction) are understood.

Learning Trajectory / Learning Landscape….

BIG IDEA

Let’s review:

Read the definitions and review their meaning with a neighbor:

magnitude, (pg 35)one to one correspondence cardinality, ( pg 33) hierarchal inclusion (pg 36)compensation (pg 36)part / whole relationships

What can you assess about Stephano’s understandings?

What do you think he understands and why? Please provide specific examples.

Where does his learning fall apart?

What models / contexts can you provide for Stephano to help move his thinking along? (Hint – think about Investigations you are familiar with.)

Please read pages 37 – 49. Chunk the Games, the Routines and the Investigations.

Though you are familiar with the contexts (board & card games, routines) read the scenarios carefully. Use them to increase your understanding of the different big ideas needed on this journey to understanding number sense.

While reading – please pay attention to the probing questions, the teachers response, and how understandings are supported.

Please note these on the page provided.

Key Mathematical Topic : Number Sense

Big IdeasMagnitude1:1 correspondenceCardinalityHierarchal inclusionCompensationPart/whole relationships

StrategiesSubitizing Synchronic countingTagging Counting onGroup Counting (by 2s, 5s….)

Mathematical Contexts• Games : Board, Card and Dice• Routines•Designing and Using Investigations

Learning Trajectory / Learning Landscape….

NumberSense

Big Idea

BI

Strategy

BI

S

S

BI

So..what's so hard So..what's so hard about teaching about teaching Math? Math?