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Closing the maths attainment gap

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Closing the maths attainment gap

Personalised one to one maths lessons from specialist tutors

Request a quote

How To Use Diagnostic Assessment To Inform Your Teaching

Diagnostic assessment is a key tool in KS2 maths teaching, but one that can be difficult to know how to do effectively.

Candida Crawford, primary school teacher and lead on Curriculum Design for Third Space Learning, shares her insights on how to make it work best for you. 

Assessment has always been crucial to teaching maths. The time we spend teaching pupils needs to be as effective as possible – especially this year when many pupils will be further behind than usual having missed up to four months of their usual in-class teaching.

Teachers need to know their gaps, teach to those gaps, and then check that pupils have retained their knowledge. Getting to grips with a new class’ existing knowledge (without spending forever testing them) can be tricky at the best of times, let alone when gaps are greater and more diverse than usual this year.

As KS2 maths intervention providers, we spend one hour a week with over 7,000 pupils. In that hour, we have to know what progress each pupil has made in order to determine what is taught in the following week, and to make sure that our wonderful schools who trust us with their pupils have total insight into how their money is being spent, and for what impact.

Over the years, we’ve learnt how to strike a balance between assessing thoroughly enough that we understand pupils’ gaps, and being light-touch enough that it doesn’t eat into crucial learning time.

Here’s what we’ve learnt about how to meaningfully assess primary maths pupils, without spending too much time testing.

Assess KS2 Gaps Early: Initial Diagnostic Assessment

First up, we always assess pupils at the start of their time with us. “Mission Zero”, our interactive space-themed online assessment that all pupils sit before their first session, is a key part of all our programmes, and it has two main purposes.

Firstly, to inform the personalised programme of lessons for each pupil; and, secondly, together with post-session and end-of-programme assessment, it helps to measure the impact of these lessons on individual pupils.

We ask pupils two types of questions on each topic: calculation problems and worded problems.

These help us see whether a pupil needs to spend time learning a procedure or concept or, if they are able to use it, whether they can apply it to a problem.

From this, we can see how they’re doing in each area:

Mission Zero report
Example report showing how a pupil got on in each area
Session plan
Example session planning page showing which learning objectives are to be covered next

Each of the questions we ask in Mission Zero relates to a single Learning Objective, mapped to each of the 500+ Learning Objectives in our online intervention curriculum.

Our detailed assessment maps can then pinpoint exactly where pupils need most support and diagnose the right sequence of Learning Objectives to teach to plug individual gaps and address misconceptions.

In your school: Like many you may be unwilling (or indeed find it unnecessary) to do a pre-test at the start of every term, but we would strongly recommend it for at least the start of the year.

This helps track real progress, as it provides a comparative baseline assessment based on a pupil’s position as they’ve returned to school after the long summer holidays. Clare Sealy’s blog post on How to Beat Summer Brain Drain is an essential read on this point. 

Thousands Of Diagnostic Maths Questions Available

For schools signed up for our online one to one intervention programmes, we have written thousands and thousands of questions to be used for assessment, all carefully aligned to the curriculum and the appropriate year group.

We use a multiple choice format, and for each question we’ve created one correct answer and three distractors.

A word on distractors. In our experience these are highly important; they’re not just random wrong answers but are designed to be an answer a pupil could potentially get to based on a specific misconception.

image 1 is working towards 12 hour clock and 24 hour clock
An example of a diagnostic assessment question on our 1-to-1 maths platform: aimed at pupils working towards, focusing on 12 hour clock and 24 hour clock
image 2 is working at 3d solids in 2d representations
An example of a diagnostic assessment question on our 1-to-1 Maths platform: aimed at pupils working at, focusing on 3D solids in 2D representations
Image 3 is extension missing angles
An example of a diagnostic assessment question on our 1-to-1 Maths platform: aimed at extending pupils working on missing angles

In your school: When you conduct your own diagnostic assessment at school, make sure that any tool or questions you use include distractors too so you know why a pupil has made a mistake.

On our platform, all the pupils’ answers feed into a unique algorithm which helps to identify the most appropriate programme of lessons for each pupil.

For your teaching, we advise that you teach to the results you have found. This will save you time and help you target the areas that pupils need help with the most.

Where To Find Quality Assessment Materials For KS2

As well as the thousands of questions on our platform, we have also created a series of free KS2 diagnostic quizzes on seven key topics: from addition and subtraction, to fractions decimals and percentages.

Each quiz contains multiple choice questions specifically created to identify precise misconceptions, and includes mark schemes to help plug gaps and inform planning.

Download the Year 6 Diagnostic Maths Quizzes here.

Download the Year 5 Diagnostic Maths Quizzes here.

Looking for even more diagnostic assessment resources? We’ve got a whole range in our online resource library, The Third Space Maths Hub. You can sign up here to download a selection completely free, or access the entire range with whole school premium Maths Hub access.

Low Stakes, Frequent Testing Is Key To Great Assessment

On all our intervention programmes, the initial baseline test is topped up with assessment throughout the term.

This comes in the form of a couple of questions after their 1-to-1 lesson each week. The answers to the Post-Session Questions help to continuously diagnose gaps, and our tutors will always use a question the pupil got wrong in the previous week to start off the next lesson.

Post Session Questions
We finish off each lesson by asking questions a few quick questions to continually assess and adapt their learning journey

In your school: In your own teaching, you can use individual questions taken from our free diagnostic quizzes every single day to find out how well pupils are taking on what you’re teaching them. Remember that a correct answer just after the topic has been taught doesn’t necessarily mean a topic has been learned!

Online Testing And Technology Over Tutor Assessment

Given that every pupil has the same tutor over their term or 14 week programme with us, you may wonder why we don’t make more use of tutor assessment.

There are two main benefits to using our own question bank instead:

First, an online assessment gives consistency. We have over 200 tutors, who all might assess slightly differently. By using these online questions we can get a more independent and objective view of where the pupils are at.

Tutors will still use their own judgment on top of our independent assessment during a lesson as any teacher would – they might accelerate through material if they see it’s too easy, for example.

Second, an online assessment give us data we can look at and learn from. We set ourselves a strict list of standards we expect all our tutors to meet in lessons and the data we gather from our online assessments helps us see if tutors are consistently meeting these.

If a lesson takes too long to complete, our numbers will show it and we’ll investigate qualitatively.  Why? What’s the question pupils keep getting wrong? Is something wrong with the distractors? Is the question too wordy? Or is the question uncovering a very common misconception that we could use to inform and better improve the lessons and the teaching? 

This level of actionable insight at scale just wouldn’t be possible to moderate from all our tutors.

In your school: We only have an hour a week with your pupils. It’s amazing what we can achieve in that time, but it’s not the same as the day-in day-out contact and knowledge that a class teacher has about their pupils. We are certainly not advocating you move to a purely online / paper assessment process for your own pupils; it just needs to be part of the mix together with teacher judgement.

Beyond Subject Knowledge: Confidence And Attitude

There are more things to assess than a pupils’ subject knowledge.

At Third Space, one thing we’re really excited to be working on is measuring pupil mindset and confidence.

Many of our client teachers have told us that the 1-to-1 sessions make a big difference on pupils’ confidence, engagement and willingness to get involved in lessons. So, we worked hard to create a system to measure this impact. You can learn more about how we measure pupil attitude and mindset in maths here.

The impact mindset can have on results: a quote from a teacher using Third Space Learning
The impact mindset can have on results: a quote from a teacher using Third Space Learning

In your school: Don’t dismiss the power of Growth Mindset to transform a pupil’s confidence and results in KS2 maths. We have seen time and time again that engagement and willingness can have a big impact on whether or not a pupil secures and retains any taught knowledge.

The Challenges Of KS2 Maths Assessment

The main challenge most schools face when assessing is balancing the need for assessment with giving pupils and schools the best experience – mainly we don’t want to over-assess or take up too much time. This is something we experience as well!

We could do a really in-depth testing of pupils after every lesson, but we don’t want to exhaust pupils or make them disengage  – we know pupils are already tested a lot in school… it’s a balancing act!

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To find out more about how we assess pupils, or how our 1-to-1 maths interventions can double progress in your school: book a demo of our maths interventions here.

 

Primary school tuition targeted to the needs of each child and closely following the National Curriculum.

David Leighton
David Leighton
Third Space Learning
Content Team
A former secondary teacher, David writes blog posts and Maths resources as part of the content team.
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