The Great Teaching Toolkit Evidence Review, June 2020 is an important read and part of an ongoing project. See my page Great teaching toolkit Evidence review for further links and resources. See also Exploration and Investigation with Technology.

Another worthwhile read is the earlier: What makes great teaching? Review of the underpinning research.
Robert Coe, Cesare Aloisi, Steve Higgins and Lee Elliot Major
October 2014. And have a look at these comments from Year 9 on good maths teachers!

Questioning
On Nrich, see this by Jenni Way on using questioning to stimulate mathematical thinking, with an addendum also which includes ideas for questions to use for student investigation. Not just for Maths but applicable to any subject I’d recommend very highly the Brighton and Hove Assessment for Learning  project – Questions worth asking. 

• Desmos Tasks for GCSE and A Level
• MEI Desmos Tasks for GCSE
• IDEMS International eCampus – Maths Bridging Course GCSE to A Level
• Transum Mathematics
• Spot the Mistake
• Quizlet
• Quizlet – verified GCSE Mathematics Resources

Review

• Retrieval Practice – this page has numerous links to resources
• Mathsbot
• Transum Refreshing Revision
• Berwick Maths Low Stakes Quizzes

Practice

• Goal Free Problems
• Here’s the diagram, what’s the question?
• Increasingly Difficult Questions
• Nrich article on Etudes – Colin Foster
• Colin Foster – Mathematical Etudes
• Examination Board Teaching Resources
• Open Middle
• Underground Mathematics series of pages
• Retrieval Practice – Two Things

From Craig Barton see Tes Maths: Lesson planning in mathematics, Secondary Maths resource highlights for students in secondary school. Craig has selected resources from the Tes Maths community that he has found invaluable when planning maths lessons. As the article states, we should think of our lessons as part of a sequence not a single unit. we need to think about where we want our students to get to, what sort of problems do we want them to be able to solve. Craig has grouped his chosen 12 resources into 3 categories, Worked Examples, Atomisation and Variety of activities. 

Thinking also about observing lessons I have been reading various articles and blogs and came across David Didau’s ‘Where Lesson Observations Go Wrong’. Many of David’s comments really struck a chord with me, particularly his comment ‘no one knows my kids in my classroom like I do‘. That is so true; I think we would all like to think that any observer coming into our lesson has that in mind. If I observe a lesson in any capacity I want the teacher to know that I appreciate how well they know their students. Note David’s updates since writing that post: Ofsted has stopped grading individual lessons and his most recent post on the subject. I do like David’s suggested questions (reproduced below – thank you David) for observation feedback – questions like this make for a good conversation between the observer and class teacher. If I have planned my lesson properly, thinking about all the aspects mentioned in the five minute plan above then I should easily be able to answer these questions and in fact be glad to be asked them. The questions emphasize quite rightly that this is but one lesson in a sequence of lessons and only a tiny snapshot of my interaction with that class.
.

• Where does this lesson fit into your sequence of teaching?
• What have students had to learn in order to get to this point?
• What did they already know?
• How will you develop what students have done so far?
• How might the next lesson be adapted in light of what happened this lesson?
• How do you know if students are making progress?
• Why did you make the decision you made today?
• Is there anything you might do differently?.

These questions are useful for reflection – have an imaginary conversation with yourself even if you are not being observed. Actually come to think of it – isn’t that best of all – to get really good at observing ourselves?!

And always keep Professor Robert Coe’s poor proxies for learning in mind.