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Addition and Subtraction Workshop. Addition and Subtraction Workshop. Lisa Heap, Jill Smythe and Anuja Singh. Squeezie Box:. -Read the number -Number before / after -Ten more / less -Doubles -How many more to make 10 -Multiply by…… What other key concepts could be - PowerPoint PPT Presentation
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Addition and Subtraction Workshop
Addition and Subtraction Workshop
Lisa Heap, Jill Smythe and Anuja Singh.
Squeezie Box:
-Read the number-Number before / after-Ten more / less-Doubles-How many more to make 10-Multiply by……
What other key concepts could be developed using the Squeezie Box?
Objectives:
• Revise the Strategy framework stages.
• Understand the teaching model.
• Explore problem progressions, equipment and activities used to teach addition & subtraction strategies.
Reflection:Reflect on your Mathematics lessons, routines
and classroom organisation.
What will I keep doing?
What will I stop doing?
What will I start doing?
these?
7 + 9 =
How would a child at stage 3, 4 or 5 solve this problem?
Hw would you solve these?
42 - 7 =
How would a child at stage 4 or 5 solve this problem?
How would you solve these?How would a child at stage 6 or
7 solve this problem?
92 - 39 =
Place Value
?385 - 99
478 - 56
1002 - 987
So, which strategy is best?
It depends on what the question is!!!!!!
Using Number Properties
Using Imaging
Using Materials
New Knowledge & Strategies
Existing Knowledge & Strategies
Using Materials
The Teaching Model:
Hands Tens frames
Abacus Place Value Material
Number Lines
37 87 90
+ 50+ 3
1010
1223
Using Materials and Imaging:
Imaging Phases:
First Phase of Imaging:• Look but don’t touch!
Second Phase of Imaging:• Shielding materials ,scaffolding.
Third Phase of Imaging:• No materials at all.
A lesson using the teaching model:• Watch the DVD of a lesson using the
teaching model.• In your thinking groups discuss the
following questions:
How was the teaching model utilised?
How were children’s misconceptions addressed during the lesson?
Morning Tea
• During morning tea complete your jigsaw.
• What knowledge or strategy is being developed?
• Look around the other tables. Which would you introduce first? Why?
Maths Thinking Groups:
What is the purpose of a thinking group?• Each person is given a chance to share
their thinking and solution to a problem.• Group members listen to each other. Only
one person talks at a time.• Everyone must be able to understand and
explain others thinking and solutions.• Group members must be prepared to
explain their own thinking.
Using Thinking Groups:
“If you teach without observing and reacting to the children, you are teaching a programme, you are not teaching the kids.”
Peter Hughes
Keeping a record
• How and where do you currently record what the children do/think?
Using a Modelling Book: • helps capture students thinking and is a
powerful tool for modelling written recording.
• is a useful record of work that both teacher and students can refer back to during the lesson or in future lessons.
• helps teachers keep track of students progress by writing names next to strategies or by attaching the student profiles at the front of the book.
Introduction to Book 5:• Each strategy stage is separated into 2 parts:
Learning experiences to move from one stage to next and learning experiences for each stage.
• Refer to the required knowledge check before transitioning students.
• If the group are not ready to move from one stage to the next you may need to broaden their experiences.
• Refer to the teaching model progression for each lesson.
What to teach
• Planning sheets are available on
www.nzmaths.co.nz
Start of Lesson
- Required knowledge check
- Diagnostic Snapshot:Can they already do it?
Teaching
- Teaching Model (materials, imaging, number properties)
- Consider thinking groups & modelling book
-End of Lesson
- Feedback: Who’s got it? Who hasn’t? Set practice.
- Consider next learning steps/teaching . session
Components of a strategy teaching lesson:
Using Number Properties
Using Imaging
Using Materials
New Knowledge & Strategies
Existing Knowledge & Strategies
Using Materials
The Teaching Model:
Strategy Lesson Examples….
Book 5, page 27. Subtraction in Parts
Book 5, page 53. Average Ability
In your thinking groups….
• What have you learnt today?
• What activity has helped your learning?
• What do you need clarifying?
Thank you…. See you next time!
Tuesday, 2nd NovemberMultiplication & Division