infant&maths:&& skills/based&learning& session1 maths session 1_0.pdf ·...
TRANSCRIPT
![Page 1: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/1.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Infant Maths: Skills-‐based Learning
Session 1 Ge#ng Children to Think and Talk Mathema4cally in the area of Number
![Page 2: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/2.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Early Maths What should Early Maths “look like”?
What do you hope to gain from these sessions?
![Page 3: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/3.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Learning experiences in Maths • Experience a sense of pleasure that comes from solving a puzzle or problem
• Have curiosity s8mulated by formula8ng ques8ons and inves8ga8ng mathema8cal situa8ons
• Play small group games that draw on mathema8cal skills and concepts
• Experiment with paLern, discover rela8onships • Beau8ful moments – surprised, delighted or intrigued! Mathema4cs Explained for primary teachers, Derek Haylock
![Page 4: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/4.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Objec8ves
Teachers will be enabled to: • Promote mathema8cal skills through
content of number strand • Incorporate maths language • Use appropriate maths equipment • Adopt problem solving approach • Self-‐reflect on exis8ng prac8ce
![Page 5: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/5.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Workshop 1
SorAng • Random collec8ons • 1,2 and 3 property sets • Par88oning sets • Combining sets • Sor8ng and logic games
CounAng and No. RecogniAon • Forwards and backwards • Different star8ng points • Quick recogni8on of
quan88es • Sensible guess of quan88es
![Page 6: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/6.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Mathema8cal Skills
![Page 7: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/7.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Mathema8cal Skills
• Applying and problem-‐solving • Communica8ng and expressing • Integra8ng and connec8ng • Reasoning • Implemen8ng • Understanding and recall
![Page 8: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/8.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Early Understanding in Number
Sor8ng RelaAonships and
OperaAons Understanding Coun8ng and number recogni8on
![Page 9: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/9.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Key message: The Learning Process
I use materials with teacher’s direcAon I explain my ideas
I use my mathemaAcal ideas
I understand and use suitable language for
the work I do
Processes
![Page 10: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/10.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
PSC and RSGM
Number EMA
![Page 11: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/11.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
What this might look like in the classroom?
![Page 12: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/12.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Effec8ve Teaching of Early Maths
DemonstraAon
Guided acAviAes
AcAviAes + choice Language
Discussion MATHEMATICAL
SKILLS
MATHEMATICAL CONTENT
![Page 13: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/13.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Sor8ng: line of development
• Sort a random collec8on • Sort a one-‐property collec8on in one way • Sort a two property collec8on in two ways • Sort a three property collec8on in three ways • Revisi8ng random collec8ons • Par88on sets into subsets • Combine sets • Sor8ng and logic games
![Page 14: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/14.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Sor8ng: What? Why?
• At the heart of sor8ng is the no8on of a “set”. A set is a well-‐defined collec8on of objects that belong together because they have a common property. There should be no ambiguity.
• A carefully planned programme of sor8ng ac8vi8es is a vital prerequisite to meaningful work with number
Ready Set Go p.18
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The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
How are they the same?
Why do they belong
together?
Why does this one not belong? How are they
different?
![Page 16: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/16.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
1. Towards the no8on of a set
Children will sort random collec8ons and talk about them
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The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
2. One-‐property sets
Children will sort one-‐property collec8ons in one way and talk about their arrangements
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The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
![Page 19: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/19.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
3. Two-‐property sets
Children will sort two-‐property collec8ons in two different ways and talk about their arrangements
![Page 20: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/20.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
4. Three-‐property sets
Children will sort three-‐property collec8ons in three different ways and talk about their arrangements
![Page 21: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/21.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
5. Revisit random collec8ons
Children will sort random collec8ons again and talk about them. Note language.
![Page 22: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/22.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Key message: The Learning Process
I use materials with teacher’s direcAon I explain my ideas
I use my mathemaAcal ideas
I understand and use suitable language for
the work I do
Processes
![Page 23: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/23.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
6. Pictorial Representa8on
Children will use Tree/Venn/Carroll diagrams to sort for one property and talk about their arrangements Non -‐ set
![Page 24: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/24.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
No8on of a subset
• Refining language of sets • Sort set into a subset • A subset is simply a set within a set • Par88on is to divide set into parts or subsets The set of children in the class: the subset who wear glasses
A set of farm animals: the subset of cows, the subset of sheep, the subset of pigs
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The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
7. Combining sets
Children will combine 2 or more sets and talk about their arrangements
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The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Set of Mammy bears, sets of daddy bears and a set of
Baby bears....
All back together....and we get a set of Bears!
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The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
8. Consolida8ng sor8ng using games
• Missing piece game (p.32) • Change Please (p.33) • Copy Cat (p.43) • Feely Bag (p.45) • Guess my Secret (p.45) • Difference of one (p.46)
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The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Sor8ng Video
• hLp://ppds.ie/index.php?op8on=com_content&task=view&id=331
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The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Key message: The Learning Process
I use materials with teacher’s direcAon I explain my ideas
I use my mathemaAcal ideas
I understand and use suitable language for
the work I do
Processes
![Page 30: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/30.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Early Understanding in Number
Sor8ng RelaAonships and
OperaAons Understanding Coun8ng and number recogni8on
![Page 31: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/31.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Coun8ng and Recogni8on Line of Development
• Count forwards / backwards different star8ng points
• Coun8ng quan88es • Quick recogni8on of quan88es • Ordering numerals
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The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
PSC Number limits
Junior Infants Senior Infants
Coun8ng 1-‐10 0-‐20 Compare and order
1-‐5 0-‐10
Combine 1-‐5 1-‐10 Par88on 1-‐5 0-‐10
![Page 33: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/33.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Let’s Count!
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The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Examples of Mathema8cal Problems
• Word problems • Prac8cal tasks • Open-‐ended inves8ga8ons • Closed ques8ons • Puzzles • Games • Projects • Mathema8cal trails.
![Page 35: Infant&Maths:&& Skills/based&Learning& Session1 Maths Session 1_0.pdf · The$PDST$is$funded$by$the$Departmentof$Educaon$and$Skills$$ under$the$Naonal$DevelopmentPlan,$2007A2013$ Infant&Maths:&&](https://reader034.vdocuments.us/reader034/viewer/2022042919/5f63a74f1dc9cb21c633b866/html5/thumbnails/35.jpg)
The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Sugges8ons
• Maximise 8me spent on direct teaching • Minimise 8me required for managing ac8vi8es
• Provide a range of ac8vi8es matched to children’s needs
• Ensure balance between whole class and group ac8vity
• Oral maths (10 min), Group ac8vi8es (15-‐25 min), Round up (5 min)
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The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Self-‐Reflec8on
• Consider your current prac8ce • Iden8fy opportuni8es for integra8ng ac8vi8es into current prac8ce
• Share experiences at session 2 – what worked well, even beLer if...
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The PDST is funded by the Department of Educa8on and Skills under the Na8onal Development Plan, 2007-‐2013
Council for the Curriculum, Examina8ons and Assessment
(CCEA) in Belfast. Tel: 0044 2890261200. Ask to be put through to DistribuAons and speak to Jackie or Natasha.
Order Online: hap://www.nicurriculum.org.uk/key_stages_1_and_2/areas_of_learning/mathemaAcs_and_numeracy/ready_set_go/
£15 + P&P (£11.30 for up to 10 manuals)