cooperative learning using cooperative learning in the secondary mathematics classroom the...
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Cooperative Learning
Using Cooperative Learning in the Secondary Mathematics Classroom
The Mathematical Association Conference
Saturday 19th September 2009
Ian Cassells, QIO Secondary Maths, North Lanarkshire
Monica Kirson, Numeracy Development Officer
Cooperative Learning
Agenda
Activities Used & Maths Content . . .
Simultaneous Round Table - Solving Simultaneous Equations
Expert Jigsaw - Solving Past Paper Questions
Stand & Deliver - Learn Coop Learning Processes
Paired Reading - Preparation For Homework
Cooperative Learning
Positive Interdependence = you cannot complete task alone
Individual Accountability = you cannot opt out of 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
"None of us is as smart asall of us."
Positive Interdependence
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Cooperative Learning
Round Robin Share (Team-Building Activity)
Social Skill : Listening Attentively to Your Team
Starting with the tallest member and then proceeding clockwise, share :
• Your Name
• Your School and Role
• Your Favourite Topic in Maths which you love teaching
Cooperative Learning
Activity 1 “Think Pair Share” & “Simultaneous Round Table”
Academic Task : I Can Solve Simultaneous Equations
Using “Think Pair Share” & “Simultaneous Round Table”
Social Skills : To Use Your Best HandwritingTo Check For Understanding
Cooperative Learning
Activity 1 “Think-Pair-Share”
• Working with your “Shoulder Partner”, write down the first equation
• Check with your “Face Partner”
• Working with your “Shoulder Partner”, write down the second equation
• Check with your “Face Partner”
• As a team, decide what order to write down your two equations
Cooperative Learning
Activity 1 “Simultaneous Round Table”
• As a team, decide which unknown letter to eliminate first; multiply up each equation; CHECK; ROTATE JOTTERS
• Solve for first unknown; CHECK; ROTATE JOTTERS
• Solve for second unknown; CHECK; ROTATE JOTTERS
• Answer Question; CHECK; ROTATE JOTTERS
Repeat whole process for subsequent questions
Cooperative Learning
Activity 1 - Processing Academic TaskAcademic Task: I Can Solve Simultaneous Equations using
“Think-Pair-Share” & “Simultaneous Round Table”
• Resources: “Show-me Board” or Card for each group
• Everyone must agree on their team rule for solving Simultaneous Equations.
– Person 1 = Resource Manager– Person 2 = Writer– Person 3 = Timer– Person 4 = Encourager
Time for task = 2 minutes
Cooperative Learning
Activity 1 - Processing Social SkillsTo Use Your Best Handwriting & To Check for Understanding
How well did YOU participate in this activity :
Did you Use Your Best Handwriting ?
Did you Check for Understanding ?
Rate yourself using a “Fist to 5”
Teams could display their scores on a show-me board
Could also keep team-journals with scores & personal reflections noted for evidence of learning.
Cooperative Learning
Activity 2 : “Expert Jigsaw”
Academic Task : I Can Solve Past Paper Questions using “Expert Jigsaw”
Social Skills : To Agree On The Best Solution &
To Explain Your Solution Clearly
Cooperative Learning
Activity 2 : “Expert Jigsaw”
• All Number 1s work together in teams of 2, 3 or 4 and write out the best solution - paying attention to the marks allocated to their question (all number 2s, 3s and 4s do the same in their expert groups)
• Everyone now takes time to check for understanding
• Everyone returns to their “Home Team” and take turns to teach their team members how to do their question.
• Everyone should now have the best solutions to all 4 Past Paper questions.
Cooperative Learning
(Using “traffic lights” to assess academic tasks)
Think to yourself
RED . . . . . . Why RED / What do I need to do to understand better?
AMBER . . . Why AMBER / What do I need to do to improve?
GREEN . . . Why GREEN / What do I need to do to keep this up?
Activity 2 - Processing Academic TaskI Can Solve Past Paper Questions using “Expert Jigsaw”
Cooperative Learning
Think to yourself :How well did you participate in each team activity :
Did you Agree on the Best Solution in a Friendly WayDid you Explain Your Solution ClearlyDid you give help and support when needed
Think and then share with your team :~ If you did perform well, what was it that made that so~ What could you do in subsequent tasks to perform even
better~ Start with Person 2 (could record all comments in team journal)
Activity 2 - Processing Social SkillsTo Agree on The Best Solution & To Explain Your Solution Clearly
Cooperative Learning
Activity 3 - “Stand and Deliver”
Academic Task : I Can Learn the Processes for :
“Think-Pair-Share” “Simultaneous Round Table”“Expert Jigsaw”“Stand & Deliver”
Social Skills : To Take Turns& To Support Each Other
Cooperative Learning
Activity 3 - “Stand and Deliver” (Explanation)
• Team members all stand and take turns to learn the task/formulae
• When all team members are confident with the task/formulae, then all members can sit back down.
• Sitting down indicates to the teacher that all members have learned the task/formulae.
• The teacher can now call upon any member of any team to share what they have learned with the whole class.
Cooperative Learning
Activity 3 - “Stand and Deliver”
• Team members all stand and take turns to learn the processes involved in the lessons used today
• Think-Pair-Share• Simultaneous Round Table• Expert Jigsaw• Stand & Deliver
• When all team members are confident with the task/formulae, then all members can sit back down
Remember sitting down indicates to the teacher that everyone in your team has learned all the processes
Cooperative Learning
Activity 3 - Processing Academic TaskI Can Learn the Processes for :
“Think-Pair-Share”, “Simultaneous Round Table”, “Expert Jigsaw” and “Stand & Deliver”
Using Numbered Heads Together,the teacher can quickly check for
understanding at each group.
Cooperative Learning
Activity 4 : “Paired Reading”
Academic Task : Get Ready To Complete YourHomework Successfully
Social Skills : To Use Quiet VoicesTo Take Turns
Cooperative Learning
Activity 4 : “Paired Reading”
Sequence:
Person 1 & 2 prepare together
Person 3 & 4 prepare together
1. Everyone (silently) reads Question 1
2. Person 1 and 3 explain solution to their partners
3. Everyone (silently) reads Question 2
4. Person 2 and 4 explain solution to their partners
5. Continue reading & taking turns to explain until all questions have been addressed
Cooperative Learning
Activity 4 - Processing Academic TaskI Can Prepare Myself so that I can Complete My Homework Successfully
Marking these completed homework tasks will help to assess individual performance on the academic content.
Activity 4 - Processing Social SkillsTo Use Quiet Voices & To Take Turns
How well did you participate in this activity :Did you use Quiet Voices ?Did you Take Turns ?
Rate yourself using the “Roman Rating”
Cooperative Learning
Conclusion - “Think-Pair-Share”
Think: One thing that you will take away from
this presentation today
Pair: Share your thoughts with your shoulder partner
The person with the longest hair shares first
Share: Tell your face partner what you heard
Time Limit: 2 minutes
Cooperative Learning
Thank you for your time and attention
Please thank your team members for supporting your learning today
Thank You
Cooperative Learning
Contact details:
Monica Kirson Numeracy Development Officer
[email protected]@LTScotland.gov.uk
Ian Cassells QIO, Secondary Maths, NL
Cooperative Learning
More Ideas on how to use these Cooperative Learning Activities in the Maths Class.
Cooperative Learning
Agenda
Activities Used & Maths Content . . .
Simultaneous Round Table - Solving Simultaneous Equations
Expert Jigsaw - Solving Past Paper Questions
Stand & Deliver - Learn Coop Learning Processes
Paired Reading - Preparation For Homework
Cooperative Learning
Activity 5 “Think Pair Share”
Academic Task : I Can Practice Mental & Non- Calculator Questions
Social Skills : To Work in SilenceTo Reach Consensus
Cooperative Learning
Activity 5 “Think Pair Share”
Everyone Works In “Pairs or Trios” :
• Person 1 writes down their answer to the question
• Person 2 writes down their answer if different
• In silence pupils agree on the correct answer
• On the teacher’s signal all teams show their answer
• To encourage correct responses could give 2nd chance
• Now person 2 is first to write their answer (& so on)
Cooperative Learning
Activity 5 “Think Pair Share”
1. How many faces would be needed to construct
5 dodecahedrons ?
Clue : this 3-D shape could be used to display a calendar!
Answer = 12 x 5 = 60 faces
Cooperative Learning
Activity 5 “Think Pair Share”
Clue : Think of Pythagorean Triples!
Explain why the perimeter of this
triangular enclosure, is not 5 Kilometres.
Perimeter = 6 + 5 + 5 = 16 Km
1. Cooperative Learning
Activity 5 “Think Pair Share”
3. What is the gradient of the tangent to the curve,
y = x2 + 2x – 4, at x = 3
A. 6 B. 11 C. 8 D. 4
Clue : gradient = m = dy/dx
Answer = 2 x 3 + 2 = 8, C.
Cooperative Learning
Activity 5 - Processing Academic TaskI Can Practice Mental and Non-Calculator QuestionsUsing “Think-Pair-Share”
Teams display their score on their show-me board
Using the show-me boards, teachers can quickly gauge understanding and progression throughout.
Cooperative Learning
Activity 5 - Processing Social SkillsTo Work in Silence & To Reach Consensus
How well did YOU participate in this activity :
Did you Work in Silence ?
Did you Reach Consensus Amicably ?
Rate yourself using “Thinking Thumbs” or “Roman Rating”