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AMA Maths HOD Day 2022

Curriculum Progress Tools and the Numeracy Co-requisite

Julia Crawford

jcrawford@cognitioneducation.com

021 210 3433

www.mathslink.org

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Curriculum Progress Tools

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Learning Progression Framework LPF

Progress and Consistency Tools�PaCT

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Benefits of LPFs

  • Support teacher OTJs
  • Using formative assessment practices
  • In-class observations of students
  • Support dialogue to understand students’ current thinking
  • Understand learning progressions
  • Designing a balanced programme (all strands and rich learning)

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What are progressions?

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The Learning Progression Frameworks (LPF)

Mathematics aspects (8 aspects)

  • Additive thinking
  • Multiplicative thinking
  • Patterns and relationships
  • Using symbols and expressions to think mathematically
  • Geometric thinking
  • Measurement sense
  • Statistical investigations
  • Interpreting statistical and chance situations

Reading aspects (7 aspects)

  • Making sense of text: processing system
  • Making sense of text: text structure
  • Making sense of text: vocabulary knowledge
  • Making sense of text: reading critically
  • Reading to organise ideas and information for learning
  • Acquiring and using information and ideas in informational texts
  • Reading for literary experience

Writing aspects (7 aspects)

  • Writing meaningful text: encoding
  • Writing meaningful text: text features
  • Writing meaningful text: vocabulary knowledge
  • Using writing to think and organise for learning
  • Creating texts to communicate knowledge and understanding
  • Creating texts for literary purposes
  • Creating texts to influence others

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The Mathematics Framework

1. Additive thinking

2. Multiplicative thinking

3. Patterns and relationships

4. Using symbols and expressions to think mathematically

5. Geometric thinking

6. Measurement sense

7. Statistical investigations

8. Interpreting statistical and chance situations

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The Mathematics Framework

8 Aspects of maths

Set/Signpost

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Illustrations

Illustration

Illustration

Illustration

Illustration

Illustration

Illustration

Illustration

Illustration

Illustration

Illustration

Illustration

Illustration

Illustration

Illustration

Set 1 descriptor

Set 2 descriptor

Set 3 descriptor

Set 4 descriptor

Set 5 descriptor

Set 6 descriptor

Set 7 descriptor

Illustration

Illustration

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Link to Numeracy Co-requisite

  • PaCT synthesises a teacher’s aspect judgements into a scale score which is displayed in relation to the levels of the NZC.
  • The Numeracy benchmark broadly aligns with scale descriptors in the range 750-850 on the PaCT scale for Mathematics (Upper Level 4 and lower level 5 NZC)
  • Indicator of readiness for Numeracy US

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Numeracy Co-requisite

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  1. Additive thinking
  2. Multiplicative thinking
  3. Patterns and relationships
  4. Using symbols and expressions to think mathematically
  5. Geometric thinking
  6. Measurement sense
  7. Statistical investigations
  8. Interpreting statistical and chance situations

Aspects of LPF

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Readiness tool?

The Numeracy benchmark broadly aligns with scale descriptors in the range 750-850 on the PaCT scale for Mathematics (Upper Level 4 and lower level 5 NZC)

Need to enter all 8 aspects to get the PaCT scale score

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Use and build our specialist knowledge

  • Understand the progressions
  • Share and discuss the illustrations
  • Use curriculum elaborations of what level 4-5 looks like
  • Link LPFs to curriculum
  • Reflect on ‘opportunities to learn’ in our planning
  • Can we support teacher formative assessment practices to support in-class assesment

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At your table:

  • Copy of Aspect ‘Big ideas’
  • A set of illustrations

What level of the curriculum do you think these reflect?

Do you give your students opportunity to do these kinds of problems?

Multiplicative thinking

Interpreting statistics and chance situations

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Multiplicative thinking

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Interpreting statistics and chance situations

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Closing thoughts

Does the tail wag the dog?

“Used to describe a situation in which something important or powerful being controlled by something less so”.

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Numeracy Co-requisite

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Where to find resources: www.mathslink.org

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Let me know if I can help

Julia Crawford

jcrawford@cognitioneducation.com

021 210 3433

I work with you to develop a plan to meet your needs

  • Brainstorm needs, evidence, and hunches
  • Complete the journal application with evidence to align to the national priorities, achievement challenges, faculty goals
  • Develop a delivery plan
  • Work with you and your team to implement your plan

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About us

Our team are on a mission to improve the lives of ākonga by inspiring educators and leaders to improve the way they teach.

Cognition Education started way back in 1989 with the goal of becoming New Zealand’s most innovative education provider. Since then, our work’s taken us on a journey across this country, bringing new ideas and fresh inspiration to teachers, ākonga and whānau from all walks of life.

These days, we work alongside educators to develop learning solutions that give students the best possible platform to springboard from.

 

Happy kids, happy country.

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The Cognition Education Trust’s mission is to improve the opportunities and lives of children and young people who are the future stewards of Aotearoa – New Zealand’s social and economic well-being.

Cognition Education is a Cognition Learning Group Company