For a starter addressing common misconceptions try the excellent Classic Mistakes resources by Nigel Hopley.
A superb resource to use in class (or for students to use at home) to address misconceptions is Craig Barton’s and Simon Woodhead’s Diagnostic Questions site. The site has over 1700 questions with carefully designed multiple choice responses to address common misconceptions. For further details see these posts.
Count On – Misconceptions
From Count Oncomesa very clear series of documents on common misconceptions. For each topic an explanation of how the misconception arises is given, together with some exercises aimed at reinforcing the correction needed.
One of the new year resolutions I suggested was to reread Malcolm Swan’s excellent ‘Improving Learning in Mathematics‘, this includes a section (5.3) on exposing errors and misconceptions. An activity suggested there is to let your students become examiners and mark the work of others, this works very well, I have highlighted some excellent resources for this on the ‘Spot the mistake!‘ page.
Steve Blades’ site www.m4ths.com has many excellent resources; on the GCSE pagewe see under ‘Miscellaneous Worksheets’ (scroll right down the page), 18 GCSE Maths Misconceptions.
Examination boards often publish helpful material which addresses common misconceptions, such resources can promote very useful class discussion as can examiners’ reports. From AQA for example, have a look at the Feedback documents on each unit available here(scroll down the page and look in the section on Teaching Resources) and another resource here.
Great questions can be used to expose misconceptions, diagnostic questions have already been mentioned above; for further sources of questions see Rich Questions.
A great way to get students thinking about mistakes and misconceptions and hence deepen their understanding of topics is to have them mark the work of others. There are some great resources hosted on TES that will allow your students to do just that.
Edexcel’s A Level Teaching and Learning Materials, a growing library of resources offer excellent support for teachers.
The exemplar answers with examiner comments provide a particularly valuable resource. These booklets look at questions from the AS and A level Sample Assessment Materials, which was used in the trial undertaken in summer 2017. Real student responses are shown together with commentary showing how the examining team apply the mark schemes. The commentary includes always useful notes on common
errors. These could be used in class and students asked to find errors.
Craig Barton’s lovely little starter on Algebraic Misconceptions (this one is truly tried and tested – I used it as a starter for a lesson observation and followed it up with a class discussion on what advice students would give to students making the kind of errors here – it went down rather well with the observers!)
Thank you to all the great authors of these resources.
On the subject of mistakes, the Classic Mistakes websitehas a gallery of posters of classic errors made in Mathematics. These could be a prompt for a useful discussion starter activity. Note that an audio file is also available for each poster.