The most extensive library of training courses for mathematics teachers is accessible anytime, anywhere. Over 250 courses with all new courses added regularly.
Take control of your own professional learning with our super low cost, flexible CPD. Jam-packed with content for teachers at all levels of development, from those looking to become a maths teacher, early career teachers and colleagues with years of experience.
Take control of your own professional learning with our super low cost, flexible CPD. Jam-packed with content for teachers at all levels of development, from those looking to become a maths teacher, early career teachers and colleagues with years of experience.
Teacher CPD
- £16.67
#MathsConf23 Recordings
The following recordings are from the workshops that were delivered live at #MathsConf23 on Saturday 20th June 2020. They are displayed in the order they occured, but by no means need to be consumed in that way, so feel free to jump straight to any video you wish.
- £16.67
#MathsConf24 Recordings
The following recordings are from the workshops that were delivered live at #MathsConf24 on Saturday 3rd October 2020. They are displayed in the order they occured, but by no means need to be consumed in that way, so feel free to jump straight to any video you wish.
- £16.67
#MathsConf25 Recordings
The following recordings are from the workshops that were delivered live at #MathsConf25 on Saturday 13th March 2021. They are displayed in the order they occurred, but by no means need to be consumed in that way, so feel free to jump straight to any video you wish.
- £16.67
#MathsConf26 Recordings
The following recordings are from the workshops that were delivered live at #MathsConf26 on Saturday 10th July 2021. They are displayed in the order they occurred, but by no means need to be consumed in that way, so feel free to jump straight to any video you wish.
- Free
#MathsConf35 BONUS SESSION - Mastery and Metacognition
Enjoy this BONUS #MathsConf35 Session from Nathan Burns - AKA Mr Metacognition!
If you enjoy this session then be sure to check out some of the other recordings from previous #MathsConfs.
- £16.67
#MathsConfMini Recordings
The following recordings are from the workshops that were delivered live at #MathsConfMini on Friday 22nd January 2021. They are displayed in the order they occurred, but by no means need to be consumed in that way, so feel free to jump straight to any video you wish.
- £16.67
#MathsConfMini2 Recordings
The following recordings are from the workshops that were delivered live at #MathsConfMini2 on Friday 27th August 2021. They are displayed in the order they occurred, but by no means need to be consumed in that way, so feel free to jump straight to any video you wish.
- £16.67
#MathsConfOnline Aug 2022 Recordings
The following recordings are from the workshops that were delivered live at #MathsConfOnline on Friday 19th August 2022. They are displayed in the order they occurred, but by no means need to be consumed in that way, so feel free to jump straight to any video you wish.
- £16.67
#MathsConfOnline Jan 2022 Recordings
The following recordings are from the workshops that were delivered live at #MathsConfOnline on Friday 21st January 2022. They are displayed in the order they occurred, but by no means need to be consumed in that way, so feel free to jump straight to any video you wish.
- £16.67
1089
The '1089' task is classic that is guaranteed to be a hit in the classroom. This course outlines the main task and explores how it can be extended and developed to get pupils engaged and behaving mathematically with place value.
- Free
Autograph: Advanced Lesson Ideas
Autograph 5 is free for all users, so we thought we would run a free professional development course on how to use Autograph to create interesting lesson plans. During this course we will consider what makes Autograph special, focusing on more advanced level uses. Download Autograph 5 for free here: completemaths.com/autograph/5
- Free
Autograph: Intermediate Lesson Ideas
Autograph 5 is free for all users, so we thought we would record a free professional development course on how to use Autograph to create interesting lesson plans. During the course we will consider what makes Autograph special, focusing on more intermediate level uses. You can download Autograph 5 for free here: completemaths.com/autograph/5
- Free
Autograph: Lesson Ideas for Beginners
This free professional development course will show you how to use Autograph to create interesting lesson plans. During the course we will consider what makes Autograph special, focusing on more beginner level uses. You can download Autograph 5 here: completemaths.com/autograph/5
- £16.67
Big Ideas in Maths
How do we communicate mathematics to our pupils? What models and metaphors can we offer to make our mathematics become the students’ personalised awareness of mathematics? In this course, we will explore some ‘big ideas’ in mathematics that permeate our curricula and how we should carefully plan and give attention to the communication of the technical detail.
- Free
CPD Shorts
Tiny pieces of maths pedagogy to get you thinking.
- Free
Complete Mathematics Webinar Series
In this course you'll find recordings of the Complete Mathematics free webinar series from 2022-23.
- £16.67
Developing Algebraic Thinking
In this course we delve into what algebra is and how it is crucial to make the link between arithmetic and algebra. You will have the opportunity to work through some tasks that can used with pupils.
- £16.67
Early Number Sense: Making it Count!
There’s more to counting than just 1, 2,3. Students in KS1 need to develop fluency with numbers, and counting is a critical part of fostering flexibility and fluency with numbers. In this course we will explore: The principles of counting; Counting strategies; Perceptual and Conceptual subitizing; Skip counting; Choral counting. We will explore concrete, pictorial, and abstract strategies to bring counting to lif...
- £16.67
Efficient use of Excel
As a teacher, if you have ever spent hours on Excel thinking “there must be a quicker way” then this course is for you. By taking the time to learn some of the most useful functions and features of Excel, you can turn a job that used to take an hour into a couple of clicks. This course will demonstrate some of the most useful Excel tips and tricks I have picked up of my 15+ years of using Excel as a classroom tea...
- £16.67
Embedding Problem Solving
In this course we will work through some problems to offer a way in which to embed problem solving to everyday practice. The course is designed to be as 'live' as possible to encourage you to work with the problems, in order to gain a better sense of what problem solving and mathematical curiosity feels like.
- £16.67
In-Person MathsConf Presentations
A collection of workshop presentations used at in-person MathsConfs.
- £16.67
Influencing the Teaching of Your Colleagues
Have you ever tried to persuade your colleagues to adopt a new teaching idea that you are really excited about, but became frustrated by how hard it was? This course explores the research into how teachers learn, outlines practical strategies for putting the research into practice and gives you the chance to try these strategies yourself.
- £16.67
Lessons from Cognitive Science: Interleaving
Interleaving is something that has long been used by teachers of mathematics but why? In this course we examine what interleaving is and is not, look at maths specific research and formulate a hypothetical situation of how interleaving can be used as part of every learning episode.
- £16.67
Mastering Directed Number
A complete guide to teaching addition and subtraction with directed number.
- £16.67
Mastery Learning
Mastery Learning has been around for hundreds of years and it is important to consider the history of how it evolved. In this course we examine the key players and their desire to improve education for all children. We consider how to connect learning and how it is important that when implementing mastery learning we don’t fixate on procedural skills and ensure all pupils are given a rich learning experience.
- £16.67
Palindromes
Palindromes is another classic task to encourage mathematical thinking and behaviour in the classroom. Accessible for all, the simple prompt that "all 4-digit palindromes are divisible by 11" is a great way to get pupils specialising, conjecturing, and generalising their findings, to ultimately develop a firm understanding of the problem. The course finishes with a nice extension to the original prompt, guarantee...
- Free
Parental Pointers
Advice for parents and carers to make the most of their child's maths education.
- £16.67
Partitioning — Why it’s a BIG idea in the Primary Classroom
Learning to be flexible when partitioning numbers is one of the key components of strong number sense. Flexible partitioning of numbers helps build fluency with all operations. In this course, we will explore concrete, pictorial and abstract partitioning.
- £16.67
Patterns Blocks in Primary
Manipulatives are vital for a concrete, pictorial, abstract approach to the big ideas in Primary maths. Pattern blocks are an extremely versatile resource that can be used for many big ideas such as: Patterns, Geometry (symmetry, composite shapes, angles etc), Measurement, Fractions, Multiplication and Algebraic Thinking
- £16.67
Place Value — Base Ten and Beyond
"It is not possible to convey the meaning of the concept of place value if one only works in base ten."
This fully resourced course takes a detailed look at how we can teach the true meaning of place value.
- £16.67
Responsive Teaching
In this course, we will take a deep dive into what it means to be more responsive in the classroom. Assessment, tasks, pedagogy and the communication of mathematics are part of the cannon that informs crucial decision making with respect to learning. Performance is often a misleading indicator, but a necessary step in the initial steps of learning. We will work on example tasks/prompts that exemplify how we can g...
- £16.67
Self Explanation Prompts and Worked Examples
This course examines the research, practice and implementation of self-explanation prompts and worked examples
It demonstrates how self-explanation prompts can be used with worked examples to increase students' mathematical discussion.
- £16.67
Strips
The idea for this course came from a discussion during one of our regular TeachingTogether sessions we hold for Teacher College members. An interesting problem was shared involving overlapping identical rectangles and after 15 minutes or so of playing with question this task was born! "Strips" provides plenty of opportunities for students to specialise, conjecture and generalise with a huge range of possible exte...
- £16.67
T-Totals
An exploration and extension of the old coursework favourite 'T Totals', the T-shape on a 9 x 9 grid, with an intention to identify the relationship between the T-number and the T-Total as the shape is translated about the grid.
What happens if we place the T-shape on a 7 x 7 grid? a 6 x 6 grid? a n x n grid?
How does this change for a 3 x 5 grid? a 5 x 3 grid? or a p x q grid?
- £16.67
Teach, Do, Practise, Behave: Equality
In this course we will look how we can phase the learning of different topics using the teach, do, practise, behave model. In particular we will look at a snap shot of how we could teach a learning episode, including some useful tasks and models to use to offer opportunities to connect ideas and build true conceptual understanding. This course builds on previous courses using Cuisenaire Rods and bar modelling.
- £16.67
Teach, Do, Practise, Behave: Fractions
In this course we will look how we can phase the learning of different topics using the teach, do, practise, behave model. In particular we will look at a snap shot of how we could teach a learning episode, including some useful tasks and models to use to offer opportunities to connect ideas and build true conceptual understanding. This course builds on previous courses using Cuisenaire Rods and bar modelling.
- £16.67
Teaching Arithmetic
In this course, we focus on teaching arithmetic for deep understanding. We delve into place value, number systems, models and machines for multiplication, division, plus much more. Arithmetic underpins much of school level mathematics and it is essential our pupils are expert to ensure a smooth progression to more complex mathematics.
- £16.67
Teaching for Deeper Understanding
In this course you will be faced with a series of tasks to exemplify what we mean by 'deeper understanding'. The course simulates a live webinar to try the tasks with the dialogue and get a feel for what it is like through the eyes of a pupil.
- £41.67
Teaching with Algebra Tiles Bundle
In this bundle you gain access to all 3 of our algebra tiles professional learning courses. You will begin learning about how we can communicate directed number and end up in the realms of polynomial division. This will provide a complete overview of how and when we can use algebra tiles to model and communicate some of key ideas in school level mathematics.
- £16.67
Teaching with Algebra Tiles: Axioms, Expressions and Equality
In this course we will take a journey through directed number arithmetic to culminate in working algebraically. We will take an axiomatically coherent approach using algebra tiles as our model of communication. In doing so, we offer pupils the opportunity to gain conceptual appreciation and see connections between ideas that are the fundamental building blocks in mathematics.
- £16.67
Teaching with Algebra Tiles: Distribution and Factoring
Distribution and Factoring are essential algebraic skills needed when furthering one's study of mathematics and too often they are condensed into a set of procedural instructions. In this course we aim to offer pupils the opportunity not only to conceptualise these key ideas, but as the teacher, to think carefully about the links to other areas of mathematics.
- £16.67
Teaching with Algebra Tiles: Mastering Proof
Algebraic proof is often found as one of the most challenging ideas within the school curricula. Using algebra tiles this becomes more intuitive for pupils and offers teachers a far better way of communicating these ideas that build upon models used in directed number, simplifying, equality, distribution and factoring.
- £16.67
Teaching with Bar Models: Equations and Problem Solving
In this course we delve further into bar modelling and look at some classic problems, equations, simultaneous equations and also some key fundamental ideas to aid the understanding of arithmetic.
- £16.67
Teaching with Bar Models: The Fundamentals
Bar models are a powerful model to have at your disposal in the mathematics classroom. They offer a conceptual approach to communicating some key 'big ideas' in mathematics. In this course we will venture through arithmetic, percentages, fractions and equations and culminate in using bar modelling to make better sense of what would typically be, tricky worded problems.
- £16.67
Teaching with Cuisenaire Rods: Counting and Arithmetic
This Cuisenaire course takes us on a journey from early number sense and counting through to the fundamentals of basic arithmetic. Cuisenaire rods are used throughout to model and explain each of the key concepts and ideas when working with the four operations.
- £16.67
Teaching with Cuisenaire Rods: Fractions
This Cuisenaire course takes us on a journey from representing and comparing simple fractions all the way through to complicated arithmetic involving mixed numbers. Cuisenaire rods are used throughout to model and explain each of the key concepts and ideas when working with fractions.
- £16.67
Teaching with Cuisenaire Rods: Properties of Number
In this course, we will take a look at how Cuisenaire rods can be used to model and explain the key properties of number. The course is split into three main sections; i) odd and even numbers, ii) square, cubes and triangular numbers and iii) factors, multiples and primes.
- £16.67
Teaching with Dienes Blocks
Dienes block are an incredibly powerful manipulative. This course shows how they can be used to enhance the understanding of fundamental maths topics such as place value and the four operations.
- £16.67
Teaching with Geoboards
This exciting course will demonstrate the power of the Geoboard for engaging and inspiring pupils. A wide range of thought provoking tasks and the pedagogy behind them will be discussed during the course. Don’t worry if you don’t have a physical geoboard to hand, you can take part fully using a virtual version instead.
- £16.67
Teaching with Multiple Representations
In order to effectively communicate the technical detail of mathematics to our pupils, we must utilise multiple representations. However, this cannot be done in a tokenistic way as it will do more damage than good! In this course, we focus on some key mathematical ideas and show how offering multiple representations at particular points in the learning can significantly improve understanding.
- £16.67
Teaching with Two-Colour Counters
Two-colour counters are an incredibly versatile manipulative, which is great as they are also one of the cheapest! In this course you will learn how to start getting the most out of this powerful and versatile manipulative, with tried and tested ‘low floor, high ceiling’ activities to use in the classroom, covering topics such as number, algebra, proof and probability.
- £16.67
Thinking Deeply about Primary Mathematics: CPAL
It is of the utmost importance that teachers become critical consumers of the advice they are given with regards to the use of manipulatives and representations in the classroom. This course builds on structures of arithmetic by providing clear and immediately actionable guidance for anyone wishing to utilise the full power of CPAL in the classroom.
- £16.67
Thinking Deeply about Primary Mathematics: Depth and Challenge
The terms Depth and Challenge are thrown around in education circles as if they were widely understood by even the most inexperienced of teachers. This course aims to set that straight but providing clear, concise and coherent guidance with regards to the provision of a mathematics education that is both deep and challenging for all.
- Free
Thinking Deeply about Primary Mathematics: Planning
Having explored some of the most important ideas in primary mathematics, it is now time think deeply about how we can put what we have learned together in a coherent plan which will allow us and our pupils to get the most from every single moment.
- £16.67
Thinking Deeply about Primary Mathematics: Reasoning
Reasoning is a fundamental part of primary mathematics but has, at times, been reduced to explanatory sentences written in maths books. This course explores what we mean by reasoning, what it might look like, why it is so important and how we can refine our craft to provide all our pupils with high quality opportunities to reason.
- £16.67
Thinking Deeply about Primary Mathematics: Storytelling
Explore why, when and how truly purposeful storytelling can be a powerful aid to the primary mathematics teacher. Drawing on research in the fields of archaeology, anthropology, evolutionary biology and the cognitive sciences, our aim is to leave you feeling fully equipped to harness the power of storytelling in your efforts to enrich the mathematics education your pupils receive.
- £16.67
Thinking Deeply about Primary Mathematics: Structures of Arithmetic
The structures of arithmetic permeate much of what is explored and learned in the primary mathematics classroom. In this course, the aim is to provide you with an awareness of common structures and how best to incorporate them into your teaching.
- £16.67
Thinking Deeply about Primary Mathematics: Threshold Concepts
The first course in Kieran Mackle's Thinking Deeply about Primary Mathematics series, where you will explore threshold concepts and how they affect pupils in the classroom.
- £16.67
Thinking Deeply about Primary Mathematics: Variation
A theory of learning with huge potential in the primary mathematics classroom, it is highly recommended that every teacher has an understanding of how they might get the most from Variation. In this course, participants will have the opportunity to think deeply about their task design and how best to incorporate variation pedagogy into their practice.
- £16.67
Using OneNote as a presentation tool for maths lessons
We’ll see how to exploit the benefits of OneNote – its integration with the Microsoft Office suite (Word, PowerPoint, Excel) and other software and websites to allow you to present, save, store and organise your lesson content effectively and efficiently. The course would introduce the personal version of OneNote, and as such does not require you to have access to an Office 365 account.
- £16.67
Whole Class Systems
The aim of this course is to increase the proportion of pupils in a class providing feedback on their learning through introducing teachers to techniques which will increase the amount of time that pupils spend thinking hard in lessons, as well as the engagement and participation of the whole class within lessons.
Your Course Leaders
Jonathan Hall
Before becoming a Maths Lead for Complete Maths, Jonathan was a successful head of department at Leeds City Academy for over five years and continues to work there as a Lead Practitioner of Mathematics.
Gary Lamb
Gary has taught for 14 years in four different schools and was part of the Complete Maths team working as a Mathematics Educator, leading CPD in Scotland. He is now Principal Teacher of Mathematics at Hillpark Secondary School.
Robert Smith
Robert has been teaching maths for nearly 10 years, teaching at various schools in the East Midlands before becoming the Maths Community Lead for Complete Maths.
Dave Taylor
Dave has taught for 13 years in challenging circumstances in inner-city Leeds. This year, Dave has joined the team at Complete Maths, stepping down from his role as Joint Curriculum Leader, to have an impact upon our most disadvantaged students on a national scale.
Vikki Priddle
Vikki has been teaching in Canadian elementary schools for 18 years, as well as occasional part-time university lecturer positions. She is passionate about making learning active, fun, and engaging for all students - no matter what the topic. Vikki has worked as an elementary literacy and math mentor for several years.
Karen Hancock
Karen has been teaching Maths from Year 7 to A Level Further Maths since 1996. Experienced Advanced Skills Teacher. Teaching and Learning coach. Karen trains staff on using OneNote to deliver lessons; she works with her colleagues on improving teaching and learning through research-based CPD.
Kieran Mackle
Kieran Mackle is a teacher, MaST (Primary Mathematics Specialist Teacher) and Specialist Leader of Education, who has worked with numerous schools, local authorities and training providers to deliver training and school-to-school support.
Gillian Knight
Gill Knight is an experienced teacher who taught in both KS1 and KS2 for over 15 years. She’s an SLE, NCETM Primary Mastery Specialist and NCETM accredited PD Lead. She now works as a freelance consultant, supporting primary schools to develop their maths teaching. This course was developed from research she recently carried out as part of her MSc in Teacher Education.
Teacher Testimonials
"Cannot recommend Complete Mathematics CPD enough."
Mrs Beckett
"Superb value for schools"
Kieran Mackle
"I have signed up to this and I highly recommend it."
Ben Gordon
"Absolutely love Complete Mathematics CPD. Really good investment because more than CPD, I can always re-watch small sections when I am about to teach a skill."
Rute Castro Silva
"Joining the Complete Mathematics CPD has definitely been the best thing I’ve ever done for my professional development. Excellent courses, excellent value and I’ve made some of the best and most lovely new Maths friends I could ask for"
Lucy Comens
"Just unbelievable value for the quality of these courses. Sign up soon before they realise they could charge so much more for this!"
Charlotte Hawthorne
"I recently completed the Algebra Tiles course and I absolutely loved it and I am way more confident using them when introducing algebra!"
Mr Akinrinlade
"It's only £7 a month and it really has helped me find different models and metaphors."