snp workshop 1: the number framework and planning lessons
DESCRIPTION
SNP Workshop 1: The Number Framework and Planning Lessons. Learning Intentions. Overview. To develop teacher understanding of the Number Framework and the associated teaching model. Introductions – Tim, Vincent, Leighann Warm-up: FIO activity What is SNP? Progression - PowerPoint PPT PresentationTRANSCRIPT
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SNP Workshop 1:The Number Framework
and Planning Lessons
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Overview• Introductions – Tim, Vincent, Leighann
• Warm-up: FIO activity
• What is SNP?
• Progression The Number Framework
• Pedagogy
• A Model for a Teaching Progression: Algebra in Number
• Participation
Learning Intentions To develop teacher understanding of the
Number Framework and the associated teaching model
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FIO Activity
• In pairs
• The Strategy Strut (Number Book 3, Green, L3)
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What is SNP?
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What is SNP?
• It’s about making sense of numbers.
• It’s about problem solving with numbers.
• It’s about understanding base 10.
• It’s about learning with meaning.
• It’s about preparing for algebra.
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Focus of SNP
• PROGRESSION
• PEDAGOGY
• PARTICIPATION
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ProgressionStep 1:
• Identify and build the computational strategies of students using the number framework.
Step 2:
• Exploit what the students are using computationally and formalise it to develop algebra.
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The Number Framework
Strategy Knowledge
Create new knowledge through their use
Provides the foundation for new strategies
Knowledge is a pre-requisite for the development of strategies and the use of strategies enables students to extend their number knowledge.
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Pedagogy
Use a concrete representation (Materials/Diagrams)
Encourage imaging and visualisation (Imaging)
Push to the inherent property and generalisation (Abstraction)
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Algebra in Number: Prior Knowledge & Lower Levels
• Activity is for Stage 5 – Early Additive Part Whole
• Stage 3-4 – use ten frames
• Work with Number Lines FIO, Maroon Number, Book 2, Link, p. 10
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98 + 46 =
100 + 44 = 144
97 + 85 =
100 + 82 = 182
5874 + 9996 = 5870 + 10000 = 15870
Algebra in Number From the Strategy Strut starter, use Erin’s method
of borrowing to make tidy numbers to solve the following:
98 + 46 =
100 + 44 = 144
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39 28
2740
a + b = (a + c) + (b – c)
39 + 28 = (39 + 1) + (28 - 1)
= 40 + 27
Materials
Imaging
Abstraction
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29 + 98 = 32 + 95
63 + = 67 + 7874X
63 + = 67 + 7882
Change the Way you ask the Question:
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7 + = 9 +3 1
The number in the box is always 2 than the number in the circle
more
7 + = 9 +
7 + = 9 +
20 18
65 63
Fill in the box and circle to make a true statement:
7 + = 9 +n+2 n
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Participation
• Who asks the questions?
• Who answers the questions?
• Who explains the reasoning behind a method?
• Who explains the key ideas?
• Who does the most talking?
• Who checks the work?
• Who decides if the answers are correct?
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Your Turn
Work in 2-3 to plan a lesson
• Pick a Level (get in groups by level)
• Pick a Strategy to teach What knowledge do you need to check for first?
• Plan (Use SNP books/FIO/internet) Starter Materials -> Imaging -> Abstraction How many lessons would you expect the
progression to take?
• Present Overview to the group