New review of evidence of what works in maths teaching

By Nuffield Foundation

Using calculators in maths lessons can boost pupils’ calculation and problem-solving skills, but they need to be used in a thoughtful and considered way.

This is according to a review of the evidence, much of which was funded by the Nuffield Foundation, published by the Education Endowment Foundation (EEF) today. It was also found that the age of pupils matters, too. Primary school pupils should use calculators regularly but not every day. Secondary school students should have more frequent access to calculators so that they’re able to make decisions about when, and when not, to use them.

The report has clear implications for teachers: they need to teach pupils how to use calculators. For example, pupils might be taught strategies for estimating tricky calculations that they would then use a calculator to work out accurately.

Today’s review – commissioned by the EEF and the Nuffield Foundation – analyses the best available international research on teaching maths to children aged 9-14 (Key Stages 2 and 3) to find out what the evidence says about effective maths teaching.

It was commissioned to support the EEF’s guidance on teaching maths, published at the end of last year and focusing on practical “dos” and “don’ts” of great maths teaching. Improving Maths in Key Stages 2 and 3 has recommendations in eight areas, each designed to support primary and secondary schools to close the attainment gap between disadvantaged pupils and their classmates.

The latest data shows that 59% of pupils who are eligible for free school meals achieved the expected standard in maths by the end of primary school, compared to over three-quarters (78%) of all other pupils.

Today’s report also finds that teachers should help pupils to use a range of mental and other methods and be able to recall number facts efficiently and quickly. The evidence suggests that those who are unable to do this may have difficulty with harder maths later in school. But while fluent recall is important, teachers should also help pupils understand how different calculations work and when they are useful.

This research is valuable because it synthesises a huge range of international evidence on what works and what doesn’t when it comes to teaching maths. For instance, it tells us that collaborative learning has a positive effect on attainment, but that setting or streaming students by ability generally does not. It also provides an invaluable checklist for areas where further research is needed, for example in relation to the reasons behind low attainment in maths and what teaching strategies might be effective in addressing it – something on which the Nuffield Foundation is funding further work.” Josh Hillman, Director of Education at the Nuffield Foundation
It’s often said that calculators can harm students’ arithmetic skills. What this review finds is that they can actually boost pupils’ fluency and understanding of maths – but that to do so, teachers should ensure they are used in a considered and thoughtful way, particularly with younger students. There are thousands of potentially useful studies out there on maths, most of which are presented in academic papers and journals. It can be difficult for teachers to know where to start. This new report looks at the best available evidence to give schools and teachers clear ideas of what works when it comes to maths teaching. The findings will help schools navigate the wealth of information out there and give all their pupils the knowledge and skills they need to succeed.” Sir Kevan Collins, Chief Executive of the Education Endowment Foundation

Related


By Nuffield Foundation

Explore our projects

New

Education | 2025 - 2026

Investigating performance across Key Stage 2 maths topics

View project
Teacher with secondary pupils
New

Education | 2024 - 2028

Teaching improvement through data and evaluation (TIDE)

View project
New

Education | 2024 - 2026

Long-term outcomes of high-achieving disadvantaged children

View project
New

Education | 2024 - 2026

Exploring academic selection and grammar schools in Northern Ireland

View project
Young girl using an iPad at home
New

Education | 2024 - 2024

Early years digital media literacy review

View project
New

Education | 2024 - 2026

Pupil school mobility: types, pathways and implications for education

View project
New

Education | 2024 - 2026

Can digital parenting interventions benefit early language development?

View project
Little girls in primary school uniform

Education | 2024 - 2026

Developing a classroom intervention to improve conversation skills

View project
New

Education | 2024 - 2026

Vocabulary for Reading: the power of words

View project
New

Education | 2024 - 2026

Spending across different stages of education

View project
New

Education | 2024 - 2026

A feasibility and pilot trial of the Early Years Library

View project
Secondary school music teacher smiles at students working together at a keyboard.
New

Education | 2024 - 2025

Teacher recruitment & retention challenges in England

View project
Young girl using an iPad at home
New

Education | 2024 - 2024

Early years digital media literacy review

View project
New

Education | 2024 - 2026

Pupil school mobility: types, pathways and implications for education

View project
Teacher with secondary pupils
New

Education | 2024 - 2028

Teaching improvement through data and evaluation (TIDE)

View project
Secondary school music teacher smiles at students working together at a keyboard.
New

Education | 2024 - 2025

Teacher recruitment & retention challenges in England

View project
New

Education | 2024 - 2026

A feasibility and pilot trial of the Early Years Library

View project
New

Education | 2024 - 2026

Can digital parenting interventions benefit early language development?

View project
New

Education | 2025 - 2026

Investigating performance across Key Stage 2 maths topics

View project
New

Education | 2024 - 2026

Vocabulary for Reading: the power of words

View project
New

Education | 2024 - 2026

Spending across different stages of education

View project
New

Education | 2024 - 2026

Exploring academic selection and grammar schools in Northern Ireland

View project
New

Education | 2024 - 2026

Long-term outcomes of high-achieving disadvantaged children

View project
In progress

Education | 2023 - 2024

Artificial intelligence and education

View project
In progress

Education | 2023 - 2024

Artificial intelligence and education

View project
Two little boys and a little girl, all wearing primary school uniform, work together to solve a puzzle in their classroom.
In progress

Education | 2023 - 2025

What has ‘Free School Meals’ measured and what are the implications?

View project
Father and daughter having fun at home
In progress

Education | 2023 - 2024

Optimisation and feasibility of Triple P parenting programme for remote delivery

View project
Early years professionals playing with children
In progress

Education | 2022 - 2024

Understanding the take-up of early education entitlements

View project
Primary school children using a microscope during a lesson outside at school
In progress

Education | 2023 - 2025

Purposeful and effective practical work in primary school science

View project
Male and female apprentices looking at car engine
In progress

Education | 2022 - 2025

Work or study? Gender and the transition from school to work

View project
Two teenage male pupils study a science lesson as part of their post-16 options
In progress

Education | 2019 - 2024

Post-16 pathways: the role of peers, family background and expectations

View project
Teacher helping primary school girl with schoolwork in the classroom
In progress

Education | 2023 - 2024

The impact of additional learning needs identification in Wales

View project
Teenage sixth form students taking notes in a lesson
In progress

Education | 2022 - 2024

Comparing inequality and outcomes across post-16 education in the UK

View project
Teenage sixth form students walking into college
In progress

Education | 2022 - 2025

The long-term impact of the Education Maintenance Allowance

View project
Little girl watches TV on her own at home
In progress

Education | 2023 - 2025

Do same language subtitles help children learn to read?

View project
14 year old girl doing homework
In progress

Education | 2022 - 2024

Experiences of 14 to 16 year olds in Further Education in England

View project
Young girl using an iPad at home
New

Education | 2024 - 2024

Early years digital media literacy review

View project
Secondary school music teacher smiles at students working together at a keyboard.
New

Education | 2024 - 2025

Teacher recruitment & retention challenges in England

View project
New

Education | 2024 - 2026

A feasibility and pilot trial of the Early Years Library

View project
New

Education | 2024 - 2026

Can digital parenting interventions benefit early language development?

View project
New

Education | 2025 - 2026

Investigating performance across Key Stage 2 maths topics

View project
New

Education | 2024 - 2026

Vocabulary for Reading: the power of words

View project
New

Education | 2024 - 2026

Spending across different stages of education

View project
New

Education | 2024 - 2026

Exploring academic selection and grammar schools in Northern Ireland

View project
New

Education | 2024 - 2026

Long-term outcomes of high-achieving disadvantaged children

View project
School children with their bicycles in the school yard. Happy as a girl and boy walk pushing them side by side.
New

Education | Welfare | 2022 - 2024

Modifying school choice for more equitable outcomes in England

View project
New

Education | 2022 - 2023

The medium-term impact of the COVID-19 pandemic on pupils with SEND

View project
Reception class children using a parachute in a PE lesson
Reported

Education | 2022 - 2023

A movement and story-telling intervention for reception children

View project
Side view of two female high school students in classroom working on laptops social distancing. Student in foreground is in focus and student in background is blurred
Reported

Education | 2021 - 2022

COVID-19 and disadvantage gaps in England 2020 and 2021

View project
Young boy draws and plays with a globe as part of nursery education
Reported

Education | 2020 - 2022

COVID-19 and childcare: local impacts across England

View project
Reported

Education | 2020 - 2022

Ethical principles underpinning co-production with young people

View project
Reported

Education | 2020 - 2021

COVID-19 mitigation measures: education provision and access to special schools

View project
Young-boy-uses-tablet-with-mother-for-maths-learning-Can-maths-apps-add-value-to-learning-PROJ
Reported

Education | 2020 - 2022

Can maths apps add value to learning?

View project
Male secondary school student working at home on laptop
Reported

Education | 2020 - 2021

The impact of COVID-19 on mainstream schools in England

View project
Teenage-girl-looks-at-smartphone-next-to-laptop-Growing-up-under-COVID-19-PROJ
Reported

Education | Welfare | 2020 - 2022

Growing up under COVID-19

View project
Top view of librarian sitting with five multiethnic children on floor. Teacher reading book to cute girls and young boys at school.
Reported

Education | 2020 - 2022

Comparisons of cognitive skills and educational attainment across the UK

View project
Teenage-pupil-wearing-woolly-hat-writes-on-whiteboard-The-influence-of-headteachers-on-their-schools-PROJ
Reported

Education | 2020 - 2024

The influence of headteachers on their schools

View project
Young-child-blurred-in-background-plays-with-abacus-in-foreground-Early-years-employment-pathways-PROJ
Reported

Education | 2019 - 2020

A systematic review of early years degrees and employment pathways

View project
A middle-aged teacher sits at her desk and helps a female student with a problem in her textbook.
Reported

Education | Welfare | 2020 - 2020

Measuring the disadvantage attainment gap in 16-19 education

View project
Search projects

We improve people’s lives by funding research that informs social policy, primarily in Education, Welfare and Justice. We also fund student programmes that give young people skills and confidence in science and research.

We offer our grant-holders the freedom to frame questions and enable new thinking. Our research must stand up to rigorous academic scrutiny, but we understand that to be successful in effecting change, it also needs to be relevant to people’s experience.

Profile