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A collection of multiple choice questions designed to help you see where your students' misconceptions are.

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Don't spend hours marking books

Diagnostic Questions is a world leading assessment tool that provides detailed insights into student understanding in a fraction of the time, simultaneously reducing your workload and improving student results and confidence.

Replace homework

In just three steps, assign a year's worth of assessments to your students created exclusively by AQA, OCR and Edexcel.

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25,000 Questions & Quizzes

Create your own or choose from the thousands created by teachers, awarding bodies and publishers.

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Actionable Insights

Use our powerful Data Analytics, Feedback and Planning tools to understand your students better than ever.

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Free forever

We're in the business of helping teachers. We know how tight departmental budgets are, we know the pain of change and we know how frustrating it is when a product you've come to depend upon starts charging. Well, we're giving you, the teacher in the classroom, a promise that Diagnostic Questions will always remain free. It's a small gesture, but we hope it helps.

Supported Subjects

Expected in November 2016, the ultimate GCSE Computing companion, with Scheme of Work and 1000s of questions from OCR and teachers.

750 questions from the Royal Society of Chemistry plus 1000s of others from teachers across the UK covering, Biology, Chemistry and Physics.

We want to support the most popular subjects that you teach. Help us focus on subjects that will make a difference by voting for our next subject.

Resolving misconceptions improves performance

A continuous system of misconception identification provides teachers with the foresight they need to intervene effectively in students' learning.

"Good diagnostic questions encapsulate our best information about what students find difficult, and are an indispensable part of any teacher's repertoire."
Dr. Dylan Wiliam, Emeritus Professor of Educational Assessment @UCL

"...the single greatest step forward in AFL in the maths classroom for years. I think it would be hard to find any better AFL strategy out there."
William Emeny, greatmathsteachingideas.com

"...good questions help us know more about our students' learning and help us to address misconceptions. An outstanding new resource to help us do just that."
Colleen Young, colleenyoung.wordpress.com

"Discover key misconceptions before you teach, track progress, review students explanations and quickly give personalised feedback."
Mohammed Ladak, mathedup.co.uk

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Don't spend hours marking books Diagnostic Questions is a world leading assessment tool that provides detailed insights into student understanding in a fraction of the time, simultaneously reducing your workload and improving student results and confidence. In just three steps, assign a year's worth of assessments to your students created exclusively by AQA, OCR and Edexcel.

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A problem-solving lesson incorporating trig, pythag and other triangle facts themed around pirates.

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Evidence based teaching and lovingly crafted lessons.

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Welcome to the Mathematics Assessment Project

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The Mathematics Assessment Project is part of the Math Design Collaborative initiated by the Bill & Melinda Gates Foundation. The project set out to design and develop well-engineered tools for formative and summative assessment that expose students' mathematical knowledge and reasoning, helping teachers guide them towards improvement and monitor progress.

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An excellent website to direct eager students (or parents!) to.

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Colin Foster's collection of 'prompts' for thought-provoking maths lessons.

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Welcome to www.mathematicalbeginnings.com !

This website contains a free collection of starting points for mathematical activity. They could be used with learners aged around 11 upwards as a part of normal mathematics lessons or as something 'a little different'.

Each beginning is intended to be provocative and to inspire some productive mathematical work. If being used with a whole class, the beginning could be displayed on a data projector; alternatively, it could be viewed on a computer screen or printed out.

A beginning turns into a task when learners start asking mathematical questions about it. On a separate page, some prompts are provided to help learners find mathematics to work on, but the ultimate aim is for the beginning to be sufficient by itself. One way to start is to invite learners to 'Say what you see' or to ask 'What mathematical questions can you ask?'.

Some brief teacher's notes are also offered, indicating possible mathematics that could emerge.

Please let me know if you have suggestions of any kind.
Colin www.foster77.co.uk www.mathematicalbeginnings.com Foster
© Colin Foster 2012, www.foster77.co.uk

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Welcome to www.mathematicalbeginnings.com ! This website contains a free collection of starting points for mathematical activity. They could be used with learners aged around 11 upwards as a part of normal mathematics lessons or as something 'a little different'. Each beginning is intended to be provocative and to inspire some productive mathematical work.

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Problem solving at every level.

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Students

In case you missed our Primary and Secondary Challenges during the summer break, we are continuing to feature them, so you can enjoy them for another month

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See if your solutions to our recent problems have been published
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NRICH - Mathematics Resources for Teachers, Parents and Students to Enrich Learning

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The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions,interactivities,games,articles.

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A wealth of resources created by Mr Corbett.

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Videos, worksheets, 5-a-day and much more

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Andrew Blair's collection of prompts for leading inquiry-based lesson.

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Inquiry Maths is a model of teaching that encourages students to regulate their own activity while exploring a mathematical statement (called a prompt). The website has resources for secondary school teachers.

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Dan Meyer's bank of resources for 3-act maths lessons

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Anyone who has used TES has surely seen Ben Cooper's well-designed resources. Fantastic.

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Still in beta, and sometimes you can tell! But an excellent idea and often a great place for 'practise' worksheets.

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The premier web service for creating professional educational resources. Used by teachers and parents around the world.

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Standard.

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The Standards Unit are a collection of resources produced in response to the Smith Report by the Department for Education and Skills. They use 'active learning' strategies that were originally planned for use post-16 but have now been introduced into the secondary sector. The well known Dr Malcom Swann of Nottingham University played a big role in the development of the resources that span the whole secondary maths curriculum.

I personally use these resources a lot and consider them to promote high levels of mathematical thought and making connections between topics. In addition to the paper-based resources, the Standards Unit also features software applets. I have added as many of these that I can find to the list below, but there are more out there. If you find a link to a piece of software discussed in the Standards Unit and it isn't included below could you please send me the link so I can make it available to everyone.

If you would like to purchase a hard copy of the Standards Unit you can from the NCETM website.

Enjoy!

The Standards Unit Resources
Mostly Number N1 Ordering fractions and decimals N2 Evaluating statements about number operations N3 Rounding numbers N4 Estimating length, using standard form N5 Understanding laws of arithmetic N6 Developing proportional reasoning N7 Using percentages to increase quantities N8 Using directed numbers in context N9 Evaluating directed number statements N10 Developing an exam question: number N11 Manipulating surds N12 Using indices N13 Analysing sequences Mostly Algebra A1 Interpreting algebraic expressions A2 Creating and solving equations A3 Creating and solving harder equations A4 Evaluating algebraic expressions A5 Interpreting distance-time graphs with a computer A6 Interpreting distance-time graphs A7 Interpreting functions, graphs and tables A8 Developing an exam question: generalising patterns
A9 Performing number magic. Adding pairs applet. Calendar applet. Consecutive sums applet. Pyramid applet. Routes applet
A10 Connecting perpendicular lines A11 Factorising cubics A12 Exploring trigonometrical graphs A13 Simplifying logarithmic expressions A14 Exploring equations in parametric form Mostly Shape and Space SS1 Classifying shapes SS2 Understanding perimeter and area SS3 Dissecting a square SS4 Evaluating statements about length and area SS5 Evaluating statements about enlargement
SS6 Representing 3D shapes. Link to software referred to on mathsnet site.
SS7 Transforming shapes SS8 Developing an exam question: transformations Mostly Statistics S1 Ordering probabilities S2 Evaluating probability statements
S3 Using probability computer games. Coin races applet. Dice races applet

S4 Understanding mean, median, mode and range. Stats 1 applet. Stats 2 applet.
S5 Interpreting bar charts, pie charts, box and whisker plots S6 Interpreting frequency graphs, cumulative frequency graphs, box and whisker plots S7 Developing an exam question: probability S8 Using binomial probabilities Mostly Calculus C1 Linking the properties and forms of quadratic functions C2 Exploring functions involving fractional and negative powers of x C3 Matching functions and derivatives C4 Differentiating and integrating fractional and negative powers C5 Finding stationary points of cubic functions Other O1 Moving from Eulerian graphs to route inspection (Chinese postman problem) O2 Exploring equations of motion O3 Solving problems using Newton's Law Professional Development
PD1 Getting started. Presentation

PD2 Learning for mistakes and misconceptions. Presentation

PD3 Looking at learning activities. Presentation
PD4 Managing discussion
PD5 Developing questioning. Presentation

PD6 Using formative assessment. Presentation

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The Standards Unit are a collection of resources produced in response to the Smith Report by the Department for Education and Skills. They use 'active learning' strategies that were originally planned for use post-16 but have now been introduced into the secondary sector.

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Probably my favourite collection of resources. Very thoughtfully designed and presented images to provoke mathematical thinking.

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Unfortunately, my father Don Steward passed away from Covid-19 on 3rd May 2020.

Throughout his working life he was passionate about improving the teaching of mathematics and has requested that all of his work remains freely available.

As per his wishes, I have uploaded all of his work to this Blog in the pages section which contains links to google drive where slides and presentations can be downloaded for free.

Don has also requested that those who use his work make a discretionary donation to charities supporting education in Africa.

We have set up a Justgiving fundraising page to support this wish below:
https://www.justgiving.com/fundraising/jessesteward

Many thanks for all of the kind messages we have received which are of great comfort to myself and the family.

Kind regards,

Jess

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Unfortunately, my father Don Steward passed away from Covid-19 on 3rd May 2020. Throughout his working life he was passionate about improving the teaching of mathematics and has requested that all of his work remains freely available.