Numeracy and Mathematics Benchmarks: Support and Guidance

For professional support and guidance on using the Benchmarks for Numeracy and Mathematics have a look at this broadcast, available on the National Numeracy Hub:

BM 1

 

Follow this link to the National Numeracy Hub, then select Anytime Learning. The Benchmarks broadcast is in Module 33:

National Numeracy Hub

BM3

 

 

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Gaelic Early Years Resource

EYGaelic

The Early Years CPD Resource has now been translated into Gaelic – find this here:

Highland Numeracy – Early Years Support Package – Gaelic Slides

This is also available on the Early Years page. A big thank you to Ashley Bartlett and Jo MacDonald for this work.

Look out for more Gaelic resources to follow!

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Numeracy CPD 2017/2018

Title Numeracy: An introduction to assessing and planning for progression in numeracy Numeracy: An introduction to assessing and planning for progression in numeracy
Organiser Kirsten Mackay Kirsten Mackay
Date 18th September 2017 18th January 2018
QI HGIOS4 2.3 HGIOS4 2.3
Target group Primary, Secondary, ASN teachers Primary, Secondary, ASN teachers
Aim To support practitioners in understanding, assessing and planning for progression in numeracy To support practitioners in understanding, assessing and planning for progression in numeracy
Content ·         An overview of progression through stages of thinking in numeracy in the context of the Highland Numeracy Progression
·         Developing confidence in identifying stage of development
·         Exploring the difference between knowledge and strategy
·         Resources for assessing and planning for development in knowledge and strategy
·         Ideas for planning and structuring teaching to develop mental agility
·         Opportunities to share and discuss best practice
·         A follow up visit to your class or school is included to provide support for implementation of Highland Numeracy Progression in following school term
·         An overview of progression through stages of thinking in numeracy in the context of the Highland Numeracy Progression
·         Developing confidence in identifying stage of development
·         Exploring the difference between knowledge and strategy
·         Resources for assessing and planning for development in knowledge and strategy
·         Ideas for planning and structuring teaching to develop mental agility
·         Opportunities to share and discuss best practice
·         A follow up visit to your class or school is included to provide support for implementation of Highland Numeracy Progression in following school term
Venue Inverness tbc Inverness tbc

The following course is now available on the CPD calendar for 2017/2018 – venue is still to be confirmed but will be in the Inverness area. Places are limited due to the follow up visit included, so please book quickly if you would like a place.

 

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More from the Numeracy Garden….

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Thank you so much to Sara-Jane Macaskill for inviting me to visit their Numeracy Garden at Knockbreck Primary  – I was so impressed and inspired by the wonderful numeracy learning and collaboration taking place!

As you can see from the photos, this is a really inspiring example of how to use an outdoor space with existing concrete materials adapted from the classroom, alongside natural and outdoor resources to create a safe, fun and nurturing learning environment!

Here the Primary 1s and 7s were working together to develop, consolidate and extend a range of numeracy skills and knowledge – it was wonderful to see how the older children were using questioning and discussion to promote thinking and understanding. I also loved how this helped all the children see that numeracy is all around us, not just in the classroom!

I hope these photos inspire you too – it would be lovely to hear your thoughts and comments. A huge thank you again to Knockbreck and Sara-Jane for sharing all their hard work and fantastic use of outdoor learning.

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Final Benchmarks for Numeracy

Benchmarks

Education Scotland have now published the final Benchmarks for literacy and English, and numeracy and mathematics following a wide consultation with practitioners:

Numeracy and Mathematics Benchmarks

The Benchmarks embed a wide range of existing assessment guidance – significant aspects of learning, progression frameworks and annotated exemplification – into one key resource to support practitioners’ professional judgement.

Follow this link for FAQ regarding the Benchmarks:

Benchmarks FAQ

You may find this document highlighting the changes that have been made to the Draft Benchmarks helpful:

Numeracy Mathematics Changes Document

Over the coming weeks we will cross check the Final Benchmarks with the Highland Numeracy Progression to ensure they are consistent, and we will let you know if there are any updates required to the HNP in line with these.

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Highland Numeracy Teaching Model

HNP

The Teaching Model we recommend for all learning and teaching in numeracy is to always first use concrete materials to represent a problem or concept visually, then screen in some way to develop a mental image, and only then move on to abstract numbers.

In this way children are actively making sense of their learning and developing a strong conceptual understanding rather than following rules or processes. Have a look at Page 3 of the Highland Numeracy Progression for more information.

Here are some fantastic examples of this being used to develop understanding of fractions from Drakies Primary:

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I also love these video clips from NZ Maths, Maths Recovery and Singapore Maths showing the importance of concrete materials to building conceptual understanding, and modelling how they can be used:

Teaching Model 2Teaching Model

If you find these useful, please comment or email – and it would be fantastic to see examples of how you have used the Teaching Model in your setting!

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Decimat resources!

decimats

Follow this link for these printable decimat resources:

Decimal mat resources

These are based on the Deci-mats available from NZ Maths, but I’ve just adapted them slightly to include pre-printed colour versions as shown. These can be used as a concrete material to promote understanding of decimals in so many ways.

  • Try showing the whole decimat and asking what would happen if we cut it into ten
  • Show the tenths decimat and ask  –  What would 0.5 look like? 0.9? 0.2?
  • Show the printed version for 0.3 – How would we descibe this as a decimal? A fraction?
  • Sort printed decimats and match to numeral cards
  • Sequence and order printed tenth decimats. Match to numeral cards
  • Use on Smartboard, laminate to use again, or print paper versions to allow colouring or cutting out
  • Use to promote mental strategies for adding/subtracting decimals
  • Extend to hundredths decimat and discuss how we describe hundredths as decimals
  • How many hundredths in a tenth? Can you prove it?
  • How many tenths in forty hundredths? Can you prove it?

I love these equipment animations from NZ Maths to show different ways they can be used:

Tenths and Hundredths

Written Recording of Decimals

Addition and Subtraction of Decimals

These will also be available on the Resources Page. I’d love to hear ways you find these useful for learning and teaching – as always please comment or email photos!

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