snp workshop 1: the number framework and planning lessons

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