Date post: | 17-Jan-2016 |
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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?