practical guidebook mathematics. mathematics classroom methods inclusion assessment producing...
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PRACTICAL GUIDEBOOKMathematics
MATHEMATICS
Classroom Methods
Inclusion
Assessment
Producing learning material
MATHEMATICSClassroom Methods
Focus on the student
Make it concrete
Not just calculations
Ownership of learning
1. Focus on Learning Process
2. The Student
Using new methods
Stages of adopting new classroom practice:
What to expect:
The beginning Challenging It feels difficult and complicated.
Trying out new methods ChaoticExpect making a lot of mistakes.
Expanding their use Anxiety provoking
Using new methods RewardingEnjoy using them, develop more.
Kosovo Curriculum Framework:
Development of a range of competencies and the development of personal growth, citizenship and preparing students for the world of work.
Basic Competencies
MATHEMATICSInclusion
Give
TimeAnd
SpaceTo the student!
Using ICTTechnology is not a magic wand that transforms bad teaching into good teaching by itself. It necessitates a transformation in teaching and learning practices.
– Learners are active knowledge creators
– Enables collaborative processes to produce knowledge
– Operational culture that emphasizes collaboration and sharing
– Openness towards the community, society and the world
Hannu Tuominen 2003
IntroductionIntroduction1. Gallery walk. Groups of 4.
GamesGames
AssessmentAssessment
Different learnersDifferent learners
CommunicationCommunicationLearning
environment and
materials
Learning environment
and materials
Infor-mation acqui-sition. ideas. stimu-
lus.
Infor-mation acqui-sition. ideas. stimu-
lus.
Infor-mation proces
sing and
appli-cation
Infor-mation proces
sing and
appli-cation
Pre-sen-tation
Pre-sen-tation
2. Group discussions
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DAY 1
44 44 44 44 44 44 44
3.Group presentations44
44 44
4444
4. Reflection of learning5. Exit poll
HOMEWORK
2. Practice using ICT in Mathematics.•Plan how you would use it in the classroom•Prepare a short presentation about your ICT tool.
3. Write a learning diary or participate in Facebook discussion
DAY 2IntroductionIntroduction
11111111 11111111
In pairs: 2. Teach someone else a new method you learned and used.3. Read and assess your partner’s lesson plan. Discuss
Peer teaching
andPeer
assess-ment .
Peer teaching
andPeer
assess-ment .
1. Time to work on own lesson plans. Check with others. Improve.
• Presentations of lesson plans and assessment
4. Presentations of ICT tools: Pecha Kucha / Demo slams
5. Sharing of lesson plans using various platforms and ICT tools
ICT toolsDemo Slams
ICT toolsDemo Slams
SharingReflec-
tion
SharingReflec-
tionConclusionConclusion
What happens next?
A break!
After the break:
A brief presentation of the stations.
Gallery walk instructionsIn groups of 4: Visit all the stations.
Your task:
•Examine and evaluate the materials on the tables.
•Decide which ones you could use in your classroom.
•Think and solve: –How to use them?–How do you solve the problems of implementation?
•Take notes:
On the form given to you
(Time: until lunch)
Unlikely or maybe later
Can use, needssome modification
Can use directly
Examples
Speaking Mathematics
Mental Calculation Grid
Example: multiplication of monomials
GeoGebra
MATHEMATICSStudent Assessment
Basic Functions of Assessment:
Ranking
Evaluation
Selecting Forms of Assessment
Assessment should lead to concrete acts.
Assess only things you can affect.
Assessment should be done by those who can make a change
Not only written tests!
Self-Assessment
Self-assessment increases the student’s understanding of the learning process and expected outcomes.
This is necessary in widening conceptions on learning Mathematics.
MATHEMATICSLessonware
Equation Domino
Decimal System Blocks
1
1
10
x
100
x2
1000
x3
For Comparison: Addition of numbers
215
+ 131
For Comparison: Addition of numbers
215
+ 131
= 346
Example: Addition of Polynomials
(2x2 + x + 5)
+ ( x2 + 3x + 1)
= (3x2 + 4x + 6)
Summary:
215
+ 131
= 346
(2x2 + x + 5)
+ ( x2 + 3x + 1)
= (3x2 + 4x + 6)
Working base for decimal system blocksHundreds Tens Units
Algebra Tiles
Multiplying Polynomials(x+1) (x+2)
Multiplying Polynomials(x+1) (x+2)
Equals to x2+3x+2
Everyday Geometry
Lunch
Learning about “Thinking together” collaborative conversations
What is it?
“Thinking together” is qualitatively different from a superficial and uncritical acceptance of the others’ ideas or from highly competitive disagreements.
Instructions:
Read the material provided on your tables.
Start the discussion. Try to follow the structure for “thinking together” discussion.
Discussion & preparing a short presentation
Task for your groups:
Conduct a discussion using the “Thinking together” structure
Your task:
– As a group choose two methods / ideas the group members are most likely to use in the classroom.
– Prepare a short presentation per method. Focus on: • A variation of a method / tool • What learners do?• What it does to learners? What competencies it develops?• Context where it is used?• Negative and positive sides? • Suggestions on how to solve the problems with
implementing it.
A short break
Presentations 1. Present the method and possibly the app / ICT tool and give a
short description of how you would use it i.e. your own activity using it.
2. Demonstrate your own variation of the method, what learners do, what it does for the learner and what competencies it builds. (If possible provide a PP slide with pictures.)
3. Describe the context where you would use the method.
4. Briefly discuss the positive and negative issues arising from the use of this method.
5. Share the presentation with participants and attach any resource you have.
A task sheet and an example of a presentation is provided on your tables.
Self and Peer assessment
Your task:
1.Evaluate your own contribution to the group work today.
Use the provided form.
2.Evaluate one of your peers’ contribution to the group work today.
Use the provided form
Exit poll
Your task:
On the note in front of you, write three things you learned today
1.
2.
3.
Pass the note to the person on your left. Read the note you got from the person on your right.
Leave the notes in the bowl by the door.
THANK YOU!
Faleminderit!
You have worked very hard today.
Try out some new things and make a lot of mistakes!