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Cooperative Learning
NAR ProjectCfE Level 4 Algebra
Mathematics Association 2011 Conference
Saturday 17th September 2011
Monica Kirson, Maths TeacherOur Lady’s High School, Cumbernauld, NL
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
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
5 Basic Elements- cooperative learning structure
Cooperative Learning
• Goal
• Reward
• Resource
• Role
• Sequence
• Simulation
• Outside Force
• Environment
• Identity
Positive Interdependence
✔
✔
✔
✔
✔
✔
…..Aim of Lesson
…..Verbal Praise Throughout
…..Shared
…..Maths Jobs to be done
…..Teacher Controls Time
…..Sitting/Standing/Mingling
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 + aa × 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 othersfor 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 “Mix Pair Challenge”
Academic Task : I Can multiply brackets by a number
I Can multiply brackets by a letter
I Can challenge/help my partners
Social Skills : To Use Encouraging PhrasesTo Check for Understanding
Cooperative Learning
•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
Activity 1 “Mix Pair Challenge”
Cooperative Learning
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.
Activity 1 - extension “Mix Pair Challenge”
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
Academic Task : I Can Simplify Algebraic Expressions
With Brackets
I Can Write Out My Stages Accurately
Social Skills : To Use My Best HandwritingTo Check Each Other’s Work
Activity 2 “Simultaneous Rotate & Check”
Cooperative Learning
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
Activity 2 “Simultaneous Rotate & Check”
Cooperative Learning
Activity 2 “SimultaneousRotate & 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
Academic Task : I Can Simplify Algebraic Expressions
I Can Share My SolutionI Can Discuss All SolutionsI Can Agree On The Best Solution
Social Skills : To Use Encouraging Phrases To Reach Consensus
Activity 3 - “Show-Me-Boards & Peer
Evaluation”
Cooperative Learning
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
Activity 3 - “Show-Me-Boards & Peer
Evaluation”
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) + 5x7 - 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 “Walk About Talk About”
Academic Task : I Can Simplify Algebraic Expressions
I Can Share My Solution othersI Can Discuss All SolutionsI Can Agree On The Best Solution
Social Skills : To Use Encouraging PhrasesTo Check for Understanding
Cooperative Learning
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
Activity 4 “Walk About Talk About”
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 SolutionsI Can Discuss All SolutionsI Can Agree On The Best
Solution
Social Skills : To Reach ConsensusTo 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
Academic Task : I Can “Thought Shower” My Ideas
For Each Topic Header
Social Skills : To Work In SilenceTo Stay With My Team
Activity 6 : “Graffiti Boards”
Cooperative Learning
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
Activity 6 : “Graffiti Boards”
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 for your time and attention
Please thank everyone who has supported your learning today
Thank You
Cooperative Learning
Contact details:
Monica Kirson Maths Teacher