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Inquiry-Based Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15
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Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

May 22, 2020

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Page 1: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Inquiry-Based Primary Mathematics

Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15

Page 2: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Vienna International School Vienna, Austria

Anika Sommer Grade Level Leader Grade Five Teacher

Dr. Christine Orkisz Lang Primary School Maths Coach

Grade Two Teacher

Page 3: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

School Goal: Whole School Curriculum Ages 3-18 Timeline: 2011-12: Parent community survey, teacher survey 2012-13: Cross School committee + Steering Groups to identify needs 2012-2013: Review of other Maths curricula 2013-14: New curriculum documentation creation 2014-15 Implementation Phase 1 (End of year review) 2015-2020: Implementation Phase 2

Page 4: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Reasons for a New Programme •  New powerful technologies to support learning available

•  Extensive advances made in the field of pedagogy,

particularly research into the brain and how it works

•  Acknowledgement that genuine learning takes place in situations which are authentic and this was not reflected in previous curriculum

•  A need for increased detail and training for teachers who are

not Maths specialists was identified

Page 5: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Discussion Questions #1

1) Where is your school with regard to curriculum review and implementation in mathematics?

2) Which of the 5 reasons provided here for

designing a new programme seems most important to you?

(technology, brain-based research, authentic experiences, detail/training for teachers, whole school articulation)

Page 6: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Goals of the New Programme

1.  Rigorous, developmentally appropriate learning 1.  Emphasis on communication in Mathematics

2.  Emphasis on Mathematical processes: ways of working

3.  Focus areas to allow for depth of study

Page 7: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Resources Used 1.  VIS previous Scope & Sequence

2.  First Steps (Government of Western Australia)

3.  Ontario Province Curriculum

4.  National Council of Teachers of Mathematics (NCTM)

5.  New Zealand National Curriculum

6.  John Van der Walle

Page 8: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Other Input •  Christine Lyons, M.Ed., PhD

•  CEO, Dragonfly Educational Consulting Services, Inc.

• Expertise

• Training

• Validation

Page 9: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Two Documents ●  ELC-Grade 5 Mathematics

Programme ●  Calculation Policy and

Practices Document

Page 10: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Maths Content Strands (PYP) Number - all grade levels + all substrands

Pattern and Function - all grade levels Data Handling - all grade levels, SOME substrands Shape and Spaces - focus grades Measurement - focus grades

Page 11: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Number

Understand Whole and Decimal Numbers

Understand Fractional Numbers

Understand Operations

Calculate

8 key understandings

7 key understandings

10 key understandings

10 key understandings

Page 12: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Pattern and Function

Reason About Number Patterns

6 key understandings

Page 13: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Measurement

Understand Units

Direct Measure

Estimation

Indirect Measure

8 key understandings

6 key understandings

4 key understandings

3 key understandings

Page 14: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Shape and Space

Represent Location

Represent Shape

Reason Geometrically

Represent Transformation

3 key understandings

3 key understandings

4 key understandings

4 key understandings

Page 15: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Data Handling

Understand Chance

Collect and Process Data (Part A)

Interpret Data

Collect and Process Data (Part B)

7 key understandings

5 key understandings

6 key understandings

3 key understandings

Page 16: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Focus Overview

Page 17: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Strands broken into sub strands

KUs from First Steps Resources

Indicating behaviours, not

outcomes

Coded bullet to point you to

other documents

Focus or big idea for that grade and that substrand

Page 18: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Problem Type Overview

Page 19: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Vocabulary Overview

Page 20: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Calculator Use Overview

Page 21: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Calculation Policy and Practices

●  Divided into the four operations

●  Each operation split into two sections: - mental calculation - written calculation

Page 22: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Calculation Policy and Practices: Overview

The big

ideas for

calculation in

each grade

Page 23: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Calculation Policy and Practices: cont’d

End of grade

expectations

Page 24: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Calculation Policy and Practices: cont’d

VIS’ agreed

formal written

method of

calculation for

each operation

Page 25: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Calculation Policy and Practices: cont’d

Aspects of knowledge to expect and revise from the previous year

Page 26: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Glossary

Mathematical

vocabulary that

will help US and

students

ESL teachers, we

need your help!

Page 27: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Discussion Questions #2

1) What are your first impressions of the components and structure of the curriculum?

2) What questions do you have about the

components and structure of the curriculum?

Page 28: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

New Curriculum ≠  Improved  Learning  

How can we make this work? What are our Ways of Knowing that it is working?

Page 29: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

‘Closed Circle’

The program is supported by: ●  Maths Coach ●  Parent Partnerships ●  Ongoing teacher

training

Page 30: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Year Planning

Page 31: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Mid-Range Planning + Inquiry Cycles

Page 32: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

From Formative Assessment to Differentiated Teaching

Page 33: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Summative Assessment

•  InCas standardised testing (new) •  ISA standardised testing •  Repeat of Diagnostic Tasks •  Trial of VIS Numeracy Assessment

(emphasising practices <-> MYP) •  Teacher-created assessments

Page 34: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Reporting

Page 35: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Discussion Questions #3

1)  Do you feel that your mathematics programme has a ‘closed circle’ to support teachers?

2)  If not, what might be a next step for you? If it

does, what might you add to ours?

Page 36: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Comments and Questions

Page 37: Inquiry-Based Primary Mathematics Curriculum Development...Primary Mathematics Curriculum Development Friday 17 October 2014 Session 1: 10:15-11:15 ... 2014-15 Implementation Phase

Dr. Christine Orkisz Lang [email protected] Anika Sommer [email protected]