Cooperative Learning
NAR Project
CfE Level 4 Algebra
Monica Kirson, Maths Teacher
Our Lady’s High School, Cumbernauld, NL
Mathematics Association 2011 Conference
Saturday 17th September 2011
Cooperative Learning
Agenda
Activities
Maths Content
Mix Pair Challenge
- Multiplying Out Brackets
Simultaneous Rotate & Check - Simplifying Algebraic Expressions
Show-Me Boards
- Peer Assessment/Algebra
Walk About Talk About
- Peer Assessment/Algebra
Speed Dating
- Simplifying Algebraic Expressions
Graffiti Boards
- Consolidate Homework Task
Cooperative Learning
Assessment practice will follow and reinforce the curriculum and
promote high quality learning and teaching approaches.
Assessment of children’s and young people’s progress and
achievement during their broad general education to the end of
S3 will be based on teachers’ assessment of their knowledge and
understanding, skills, attributes and capabilities, as described in
the experiences and outcomes across the curriculum.
Building the Curriculum 5: A Framework for Assessment
Cooperative Learning
5 Basic Elements
- cooperative learning structure
Positive Interdependence = you cannot complete task alone
Individual Accountability = you have to learn the task
Face to Face Interaction = discuss/work close together
Social Skills = the behaviour expectations
Group Processing = assessing your contribution & understanding
Cooperative Learning
Positive Interdependence
• Goal
✔
…..Aim of Lesson
• Reward
✔
…..Verbal Praise Throughout
• Resource
✔
…..Shared
• Role
✔
…..Maths Jobs to be done
• Outside Force
✔
…..Teacher Controls Time
• Environment
✔
…..Sitting/Standing/Mingling
• Sequence
• Simulation
• Identity
Cooperative Learning
Having explored the Distributive Law in
practical context,
I can simplify, multiply and evaluate simple
algebraic terms involving a bracket.
MTH 4-14a
Cooperative Learning
Commutative, Associative & Distributive Laws
Commutative Law
a+b = b+a
a×b=b×a
Associative Law
a + (b + c) = (a + b) + c
(a × b) × c = a × (b × c)
Distributive Law
a (b + c) = a × b + a × c)
Cooperative Learning
When listening and talking with others
for different purposes, I can:
• Communicate detailed information, ideas or opinions
• Explain processes, concepts or ideas with some
relevant supporting detail
• Sum up ideas, issues, findings or conclusions.
LIT 4-14a
Cooperative Learning
Agenda
Activities
Maths Content
Mix Pair Challenge
- Multiplying Out Brackets
Simultaneous Rotate & Check - Simplifying Algebraic Expressions
Show-Me Boards
- Peer Assessment/Algebra
Walk About Talk About
- Peer Assessment/Algebra
Speed Dating
- Simplifying Algebraic Expressions
Graffiti Boards
- Consolidate Homework Task
Cooperative Learning
Activity 1
Academic Task :
Social Skills :
“Mix Pair Challenge”
I Can multiply brackets by a number
I Can multiply brackets by a letter
I Can challenge/help my partners
To Use Encouraging Phrases
To Check for Understanding
Cooperative Learning
Activity 1
“Mix Pair Challenge”
• Learners make their own distinct set of ‘flash cards’ (algebraic
expression with brackets on one side and the expanded version
without brackets on the reverse)
• In teams of 3 or 4, Learners check each other’s cards
• Learners form random pairs standing around the class
• Learners take turns to challenge/support each other
• Learners explain to each other HOW to multiply out the
brackets to give the answer on the reverse of the ‘flash card’.
Evidence = Short Video Clips (2 to 3 minutes)
& Transcripts of Learners’ Explanations
Cooperative Learning
Activity 1 - extension
“Mix Pair Challenge”
Learners chose to extend this task by
offering their partner the algebraic
expression without brackets and asking
them to give the corresponding algebraic
expression with brackets.
Cooperative Learning
Agenda
Activities
Maths Content
Mix Pair Challenge
- Multiplying Out Brackets
Simultaneous Rotate&Check - Simplifying Algebraic Expressions
Show-Me Boards
- Peer Assessment/Algebra
Walk About Talk About
- Peer Assessment/Algebra
Speed Dating
- Simplifying Algebraic Expressions
Graffiti Boards
- Consolidate Homework Task
Cooperative Learning
Activity 2
Academic Task :
Social Skills :
“Simultaneous Rotate & Check”
I Can Simplify Algebraic Expressions
With Brackets
I Can Write Out My Stages Accurately
To Use My Best Handwriting
To Check Each Other’s Work
Cooperative Learning
Activity 2
“Simultaneous Rotate & Check”
Working in teams of 3 or 4, Learners follow instructions:
• copy the algebraic expression, rotate jotters, check the new
jotter
• on the new jotter write out the next stage of algebra (which
involved multiplying out a bracket), rotate jotters, check the next
new jotter
• on the next new jotter simplify the algebraic expression, rotate
jotters, check the new jotter
Learners continue working in this manner supporting each other as needed,
stopping to discuss differences when necessary and giving encouragement
and positive feedback throughout.
Evidence = Photographic & Short Video Clip
Cooperative Learning
Activity 2
“Simultaneous
Rotate & Check”
Cooperative Learning
Agenda
Activities
Maths Content
Mix Pair Challenge
- Multiplying Out Brackets
Simultaneous Rotate & Check - Simplifying Algebraic Expressions
Show-Me Boards
- Peer Assessment/Algebra
Walk About Talk About
- Peer Assessment/Algebra
Speed Dating
- Simplifying Algebraic Expressions
Graffiti Boards
- Consolidate Homework Task
Cooperative Learning
Activity 3 -
“Show-Me-Boards
& Peer Evaluation
”
Academic Task :
I Can Simplify Algebraic Expressions
I Can Share My Solution
I Can Discuss All Solutions
I Can Agree On The Best Solution
Social Skills :
To Use Encouraging Phrases
To Reach Consensus
Cooperative Learning
Activity 3 -
“Show-Me-Boards
& Peer Evaluation
”
In teams of 3 or 4, all Learners answer the given
question simultaneously in their jotters, on
multiplying and simplifying an algebraic
expression, share their solutions, discuss and
agree on the best solution, write the best solution
on the “show-me board” to be presented as their
team’s response.
(This process was repeated for solving an algebraic expression)
Evidence = Audio, Video & Photographic
Cooperative Learning
Activity 3 -
“Show-Me-Boards
& Peer Evaluation
”
Audio clip of Learners 1&2
discussing the algebraic skills needed to simplify,
7 – 2 (x – 3) + 5x
7 - 2x + 6 + 5x
13 + 3x
Cooperative Learning
Agenda
Activities
Maths Content
Mix Pair Challenge
- Multiplying Out Brackets
Simultaneous Rotate & Check - Simplifying Algebraic Expressions
Show-Me Boards
- Peer Assessment/Algebra
Walk About Talk About
- Peer Assessment/Algebra
Speed Dating
- Simplifying Algebraic Expressions
Graffiti Boards
- Consolidate Homework Task
Cooperative Learning
Activity 4
Academic Task :
Social Skills :
“Walk About Talk About”
I Can Simplify Algebraic Expressions
I Can Share My Solution others
I Can Discuss All Solutions
I Can Agree On The Best Solution
To Use Encouraging Phrases
To Check for Understanding
Cooperative Learning
Activity 4
“Walk About Talk About”
Learners follow instructions to write out their full solution
to the given algebraic expression on a show-me board or in
their jotters. Learners are then instructed to meet up with
5 different people out-with their group. Each pair compare
solutions, check each stage of working, agree on the best
layout and make changes to their solution as appropriate.
Learners copy their final version into their jotters.
Evidence = Short Video Clips & Photographic
Cooperative Learning
Activity 4
“Walk About Talk About”
Cooperative Learning
Activity 5 :
“Speed Dating”
Academic Task :
I Can Evaluate Algebraic Expressions
I Can Share My Solutions
I Can Discuss All Solutions
I Can Agree On The Best Solution
Social Skills :
To Reach Consensus
To Use Good Meeting & Greeting
Cooperative Learning
Activity 5 :
“Speed Dating”
Learners follow instructions to work with lots of different
partners in turn around the class. Learners introduce
themselves and share their favourite colour then everyone
simplifies the first algebraic expression. Pairs compare and
discuss answers, making changes as appropriate. Learners
thank their partners and move onto their next partner as
instructed. This process was used to complete lots of
different tasks involving multiplying, simplifying and
evaluating algebraic expressions.
Evidence = Short Video Clips
Cooperative Learning
Activity 6 :
“Graffiti Boards”
Academic Task :
I Can “Thought Shower” My Ideas
For Each Topic Header
Social Skills :
To Work In Silence
To Stay With My Team
Cooperative Learning
Activity 6 :
“Graffiti Boards”
Preparation Homework Task – Learners had to ask an adult
or use the internet or read books to find out why we use
Algebra in the world today?
Working in teams of 3 or 4 Learners contributed to
Grafitti Boards to write down what information they
discovered.
Evidence = Photographic
Cooperative Learning
Activity 6 :
“Graffiti Boards”
Cooperative Learning
Activity 6 :
“Graffiti Boards”
Cooperative Learning
Agenda
Activities
Maths Content
Mix Pair Challenge
- Multiplying Out Brackets
Simultaneous Rotate & Check - Simplifying Algebraic Expressions
Show-Me Boards
- Peer Assessment/Algebra
Walk About Talk About
- Peer Assessment/Algebra
Speed Dating
- Simplifying Algebraic Expressions
Graffiti Boards
- Consolidate Homework Task
Cooperative Learning
Thank You
Thank you for your time and attention
Please thank everyone who has
supported your learning today
Cooperative Learning
Contact details:
Monica Kirson
Maths Teacher
kirsonm@ourladys.n-lanark.sch.uk