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
SNP Workshop 1:The Number Framework
and Planning Lessons
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
FIO Activity
• In pairs
• The Strategy Strut (Number Book 3, Green, L3)
What is SNP?
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.
Focus of SNP
• PROGRESSION
• PEDAGOGY
• PARTICIPATION
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.
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.
Pedagogy
Use a concrete representation (Materials/Diagrams)
Encourage imaging and visualisation (Imaging)
Push to the inherent property and generalisation (Abstraction)
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
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
39 28
2740
a + b = (a + c) + (b – c)
39 + 28 = (39 + 1) + (28 - 1)
= 40 + 27
Materials
Imaging
Abstraction
29 + 98 = 32 + 95
63 + = 67 + 7874X
63 + = 67 + 7882
Change the Way you ask the Question:
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
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?
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