Improving attainment and confidence in numeracy and mathematics for all.
The following page provides some of the best resources, approaches and sources of inspiration in relation to planning, learning, teaching and assessment in numeracy and maths within a blended learning approach:
Covid Recovery and Teaching Mathematics within Blended Learning models
‘How to..’ Videos
The East Ayrshire Scottish Attainment Challenge (SAC) Team have developed a series of ‘How to …’ Videos to support the development of key concepts in numeracy using concrete, pictorial and abstract (CPA) representations. There are 25 short videos detailing ways that counters, numicon shapes, Cuisenaire rods, diens blocks, ten frames and other visual aids can be used to develop key concepts.
Maths Week Scotland 2022 – 26th September to 2nd October 2022
Maths Week Scotland takes place on 26th September – 2nd October.
The website provides access to a rich source of activities, resources, webinars and challenges, which can be used during maths week and beyond to promote numeracy and mathematics with learners, parents and partners.
The theme for this year is The Beauty of Maths’.
Here are a few links to some of the resources, activities and events:
Here you will find the links to the webinar sessions, training pack, resources and background reading. All webinar sessions are set up in three parts with an introduction, main webinar and follow up reading. For each session there will be Handouts, Training Pack section, background reading and following the event a link to the webinar session for reference. To access these webinars and resources you will require access to the Numeracy Development Teams site. In order to obtain access to the training you will need to obtain access details to the training from your Head Teacher/Head of Establishment.
Second Level training outline
Please find below the outline of the webinar sessions for session 2021 – 22
Raising Attainment in Numeracy Training 2021-22
Please follow the links below to access the webinars. To access these links you will require access to the East Ayrshire Raising Attainment in Numeracy Team.
S1 – Pre Session, During Session and Post Session Overview and Questions
S2 – Pre Session, During Session and Post Session Overview and Questions
NCETM Progression in Reasoning
Parentzone – Numeracy and Mathematics Glossary
Maths Dictionary for Kids – Interactive
S3 – Pre Session, During Session and Post Session Overview and Questions
(Please scroll from 1:03:39 to 1:15:23 on video to watch the feedback from this session)
S4 – Pre Session, During Session and Post Session Overview and Questions
(Please scroll from 1:00:14 to 1:16:24 on video to watch the feedback from this session)
S5 – Pre Session, During Session and Post Session Overview and Questions
(Please scroll from 1:05:40 to 1:20:22 on video to watch the feedback from this session)
Multiplication Strategies Through Number Talks
S6 – Pre Session, During Session and Post Session Overview and Questions
Teaching Fractions Part 1 (Recorded CLPL)
Teaching Fractions Part 2 (Recorded CLPL)
Fractions using Cuisenaire Rods Video
Fraction of a Quantity Using Counters Video
Equivalent Fractions Video
S7 – Pre Session, During Session and Post Session Questions and Overview
NCETM 3.10 Linking Fractions, Decimals and Percentages
Teaching Fractions Part 1 (Recorded CLPL)
Teaching Fractions Part 2 (Recorded CLPL)
Dienes Blocks for Decimals Video
Linking Fractions, Decimals and Percentages Video
Grids for Decimals Video
S8 – Pre Session, During Session and Post Session Overview and Questions
S8 – Maths Dictionary for Kids – Time PDF
S9 – Pre Session, During Session and Post Session Overview and Questions
Reasoning and Problem Solving Glow Tile
Here you will find the links to the webinar sessions, training pack, resources and background reading. All webinar sessions are set up in three parts with an introduction, main webinar and follow up reading. For each session there will be Handouts, Training Pack section, background reading and following the event a link to the webinar session for reference. To access these webinars and resources you will require access to the Raising Attainment in Numeracy Teams site. In order to obtain access to the training you will need to obtain access details to the training from your Head Teacher/Head of Establishment.
Welcome and Key Messages from Education Scotland – Cara Cooper (Education Scotland Attainment Advisor)
Coming soon
Please follow the links below to access the webinars. To access these links you will require access to Teams.
F1 – Pre Session, During Session and Post Session Overview and Questions
F2 – Pre Session, During Session and Post Session Overview and Questions
F3 – Pre Session, During Session and Post Session Overview and Questions
F3 – Recorded Webinar. (Please scroll from 1:03 – 1:15 on the video to view feedback from the session)
F3 – Glow Place Value Resources
How Big is a Million ?– Teacher planning
How Big is a Million? – Parent
F4 – Pre Session, During Session and Post Session Overview and Questions
F4 – Recorded Webinar. (Please scroll from 1:00:15 to 1:15:21on the video to view feedback from this session)
F5 – Pre Session, During Session and Post Session Overview and Questions
F5 – Recorded Webinar. (Please scroll from 1:00:45 to 1:15:30 on the video to view feedback from this session)
Multiplication Strategies Through Number Talks
F6 – Pre Session, During Session and Post Session Overview and Questions
Teaching Fractions Part 1 (Recorded CLPL)
Teaching Fractions Part 2 (Recorded CLPL)
F7 – Pre Session, During Session and Post Session Overview and Questions
F7 – Recorded Webinar (Please scroll from 01:02:35 to 01:16:25 to view the feedback from this session)
F8 – Pre Session, During Session and Post Session Overview and Question
Reasoning and Problem Solving Glow Tile
Here you will find the links to the webinar sessions, training pack, resources and background reading. All webinar sessions are set up in three parts with an introduction, main webinar and follow up reading. For each session there will be Handouts, Training Pack section, background reading and following the event a link to the webinar session for reference. To access these webinars and resources you will require access to the Raising Attainment in Numeracy Teams site. In order to obtain access to the training you will need to obtain access details to the training from your Head Teacher/Head of Establishment.
Please begin by watching this video providing an introduction to this new format for training inputs:
Please find below the outline of the webinar sessions for session 2021-22.
Raising Attainment in Numeracy Training 2021-22
Please follow the links below to access the webinars. To access these links you will require access to Teams.
E1 – Pre Session, During Session and Post Session Overview and Questions
E1 – Recorded Webinar Link. (Recording lost sound after 50 mins) See additional Video for Loose Parts Play section
E1 – Webinar Continued – Loose Parts Play
E2 – Pre Session, During Session and Post Session Overview and Questions
E3 – Pre Session, During Session and Post Session Overview and Questions
White Rose Maths – Reception Guidance
BEAM Counting Activities for Students Aged 3 to 5
E4 – Pre Session, During Session and Post Session Overview and Questions
(Please scroll from 1:05:06 to 1:16:06 on video to view the feedback from this session)
E5 – Pre Session, During Session and Post Session Overview and Questions
(Please scroll from 1:01:56 to 1:15:25 on the video to listen to the feedback from this session)
E6 – Pre Session, During Session and Post Session Overview and Questions
E7 – Pre Session, During Session and Post Session Overview and Questions
E8 – Pre Session, During Session and Post Session Overview and Questions
Mathematical Problem Solving in the Early Years – NRICH Article
NRICH Early Years Problem Solving
Reasoning and Problem Solving Glow Tile
The Power of Arrays and Introducing Algebra Tiles
The aim of these sessions is to highlight how important the development of number sense, in particular the development of arrays, supports learners algebraic thinking. The session also highlights how a particular set of manipulatives, called Algebra tiles, currently being introduced in upper primary and secondary schools can be used to support algebraic thinking and learning.
Session 1 – The Power of Arrays
Key Understandings in Mathematics Learning: Paper 6 Algebraic Reasoning (A Watson, 2009)
www.mathsbot.com – Double Sided Counters
Session 2 – Introduction to Algebra Tiles
www.mathsbot.com – Algebra Tiles
mathsbits.com – Working with Algebra Tiles
Create Your Own Algebra Tiles – Positives
Create Your Own Algebra Tiles – Negatives
NCETM – Using Representations in at Key Stage 3 (Age 11 to 14)
Anne Watson – SMC – Scaling and Ratio
Tom Manners Webinar – Algebra Tiles, An Introduction and so much more is available here: Tom Manners – Algebra Tiles
Feedback Form
Introduction to Numicon
Developing key concepts in number remains a focus within the East Ayrshire Numeracy and Mathematics Strategy.
Developing learners number sense is key to ensuring all learners can thrive within a rich numeracy and mathematics curriculum where learners have the opportunity to develop their conceptual understanding, procedural fluency and mathematical thinking.
As we plan learning, teaching and assessment across key concepts in numeracy there are a number of strategies and approaches that can incorporated into teaching and learning which supports conceptual understanding, procedural fluency and develop mathematical thinking. An approach which has been shown to support learners in developing conceptual understanding is the Concrete, Pictorial, Abstract (CPA) approach. CPA is an approach to teaching that develops a deep and sustainable understanding of maths. Developed by American psychologist, Jerome Bruner, whose premise was that children’s conceptual understanding develops from being actively engaged in three stages of learning: enactive, iconic and symbolic. The enactive, iconic and symbolic stages of learning are now more commonly referred to as Concrete, Pictorial and Abstract (CPA) stages of learning.
Numicon Resources
This section has been developed as a follow up to the Introduction to Numicon Training provided by the East Ayrshire SAC Team.
Numicon resources include more than just the numicon tiles. Numicon resources provide a range of resources to support the development of number sense by providing concrete materials to support numeracy and maths teaching and learning. This video provides an overview of the resources available in our East Ayrshire schools and some ideas of how effective planning, learning, teaching and assessment can maximise the use of these manipulatives.
Intro to numicon video
Making Number Real Video
Numicon CfE Planning Support Documents These documents provide guidance on how to plan for the use numicon resources across all Experiences and Outcomes from Early to Third Level
The tasks in this feature use Cuisenaire rods to help learners visualise and explore the links to be made between proportionality, equivalence, comparison, difference and pattern. If you do not have physical rods, then their Cuisenaire Environment or Mathsbot Cuisenaire will be a useful supplement.
Visualising with Cuisenaire – Secondary
Although some teachers associate their use more with primary classrooms, Cuisenaire rods can be a powerful visualisation tool to help students of all ages solve problems about fractions, ratio and proportions. In this feature, we introduce our new Cuisenaire interactive environment with tasks designed to promote visualising and strategic thinking.
https://mathforlove.com/lesson/cuisenaire-rod-lessons/
Number Talks
This session is provided to follow up on the Number Talks training provided by the East Ayrshire SAC Team.
Number Talks provide regular opportunities for learners to engage in mathematical discourse and build on strategies across addition, subtraction, multiplication and division. A Number Talk is a brief, ongoing, daily routine that helps students develop computational fluency through the opportunity to share their thinking processes to solve a mathematical problem aloud. The link below will take you to professional development materials and links to Number Talks resources:
Number Talks CLPL Support and Resources
Fraction, Decimals and Percentages Number Talks
The East Ayrshire Fractional Reasoning twilight training inputs contain references to using number talks in relation to assessing learners understanding as they develop their understanding of fractions, decimals and percentages. The blog posts Teaching Fractions Part 1 and Teaching Fractions Part 2 provides videos of these inputs and links to resources to support the planning, learning, teaching and assessment in relation to rational numbers with specific references to Number Talk resources.
The Power of Arrays and Using Algebra Tiles
A particular set of manipulatives, called Algebra tiles, are currently being introduced in upper primary and secondary schools to support algebraic thinking and learning. The CLPL sessions in the link below highlight how important the development of number sense, in particular the development of arrays, supports learners algebraic thinking leading to the effective use of algebra tiles.
The Power of Arrays and Intro to Algebra Tiles CLPL
The Cambridge Maths Espressos provide ‘filtered research on mathematics education’ These quick reads cover a range of topics in reference to developing the numeracy and mathematics curriculum. A great source for professional reading.
The NCETM Mastery Professional Development materials provide high quality reference materials for planning of learning and teaching and assessment in numeracy and mathematics.
Education Endowment Foundation Mathematics
The EEF have carried out research and produced guidance papers with recommendations with a focus on improving mathematics from age 3 to 14. These papers are worth reading and the recommendations provide a solid foundation for improvement planning.
Research Papers Archive – Glow
Research Papers – Glow Archive
A number of papers and articles on numeracy and mathematics learning have been used to inform practice in East Ayrshire. This archive hosts many of the articles cited in numeracy and mathematics CLPL activity.
What is the best way to teach children to count?
What is the science behind how children learn to count, and how teachers can best scaffold the process? Professor Daniel Ansari shares his advice
Quick Wins for Numeracy and Maths Using Office 365 Webinar
https://www.youtube.com/playlist?list=PLiNisyhLItoAcTosG37FuUu_WyBzNw1_G
Differentiated Learning in Numeracy and Mathematics Briefing Paper
This briefing summarises research on differentiated learning and considers how it could be used to improve learner outcomes in numeracy and mathematics. It has a particular focus on meeting the needs of children from disadvantaged backgrounds. The briefing draws on a range of research including small and large scale studies and reviews
LaSalle Education ran their first ever virtual conference on Saturday 20th June 2020, which was very well put together with high quality inputs from teachers across the UK.
The recordings of the entire event have been uploaded to their website for all to watch and learn from. A great source of Professional Development.
White Rose Maths are provide a wealth of free resources, planning materials and professional development videos and training inputs. There is an option to subscribe to their premium resources too for full access to all the resources they produce.
Miss Radders – Free CPD padlet
Hannah Radders, a head of maths in Yorkshire has created a padlet pulling together links to free maths CPD. This and her main Maths Planning Padlet are a great source of for maths professional development and as a source to support planning, learning, teaching and assessment.
Podcasts
There are a number of podcasts being produced which focus on discussion and debate around pedagogical developments in numeracy and maths. I have listed a few that have provided insights into how key maths educators are taking forward their practice.
Craig Barton hosts a number of leading maths educators in this series of podcasts including our very own Chris Smith. These podcasts are excellent and provide a unique insight into how leading maths educators plan and design learning episodes. The show notes for each episode lead to some great sources of inspiration.
These podcast provide insights across a range of numeracy and maths related topics. They are worth a listen and are a good source of professional development.
The Maths Appeal podcast features discussions about key maths topics, maths puzzles and interviews with maths champions from the worlds of tech, entertainment, comedy and education. Maths Appeal is an independent project created by Bobby Seagull, Susan Okereke and producer Jenny Nelson.
Teaching fractions, decimal fractions and percentages is perceived to be difficult to do well and for learners fractions, decimal fractions and percentages are commonly found to be difficult for them to learn. This series of videos looks at how the development of fraction sense can be incorporated into maths lessons and how this conceptual understanding of fractions can be developed to improve learners understanding of fractional relationships.
In the second part of this series we will look at the decimal fraction and percentage representations of rational numbers and how the links between fractions, decimals and percentages can be developed with learners.
NCETM – Linking Fractions, Decimals and Percentages
Diens for Decimals Video:
Grids for Decimals Video
Fractional Reasoning Resources
Evaluation Form
