About the Misconceptions in mathematics courses

30% of the answers students give on my website diagnosticquestions.com are wrong. With over 200 million answers and explanations given by students all around the world, that is is a lot of mistakes and misconceptions. 

In each course we take a topic and delve deep into some of the most persistent, surprising and interesting ways students go wrong. We ask:

  • Where do these errors come from? 
  • Could some of our teaching be to blame? (Spoiler alert: in the case of my teaching, the answer is yes)
  • And what can we do to help our students? 
In answer to that last question I suggest some of my favourite explanations, visualisations, activities and resources from around the world that could help our students secure a deep understanding.

Whilst each course addresses a specific topic, the approach to planning based around known mistakes and misconceptions is one that could be applied to all maths teaching.

I hope these courses are useful for individual teachers, colleagues working together, or as departmental CPD. Discounts are available for bulk purchases (please see FAQs at the bottom of this page)

Please note: I hope to add a new course in this series every month or so, so if you enjoy them please keep checking back.

Misconceptions in maths - free

  • Free

Angles - introduction (new version!)

Where do students struggle with the basics of angles, where do they come from, and what can we do to help our students?

  • Free

Factors, multiples and primes - basic

Where do students struggle with factors, multiples and primes, where do they come from, and what can we do to help our students?

Misconceptions in maths - premium

  • £15

Coordinates

Where do students struggle with coordinates, where do they come from, and what can we do to help our students?

  • £15

Decimals

Where do students struggle with coordinates, where do they come from, and what can we do to help our students?

  • £25

Marvellous Maths 2: Misconceptions, Methods and Mastery

Join me and Jo Morgan as we take a deep dive into 3 topics, looking at misconceptions, methods and resources for mastery

  • £15

Negative numbers

Where do students struggle with negative numbers, where do they come from, and what can we do to help our students?

  • £15

Perimeter and area

Where do students struggle with perimeter and area, where do they come from, and what can we do to help our students?

  • £15

Pythagoras' theorem

Where do students struggle with Pythagoras' theorem, where do they come from, and what can we do to help our students?