
From the Retrieval Practice Library note the excellent free guides to download.
Rosenshine’s Principles in the Mathematics Classroom. I was delighted to present this session for ATM and MA London Branch #London Maths on Rosenshine’s Principles in the Mathematics Classroom. This also refers to elements of the Great Teaching Toolkit – Evidence Review.
Easy to digest research on Mathematics education from Cambridge Mathematics, see their Espresso page where in their words, “Each month we bring you an Espresso – a small but intense draught of filtered research on mathematics education, expressly designed with teachers in mind. Each Espresso considers one particular issue in mathematics education, and how the latest good-quality research can provide helpful guidance or further reading.”

This on Working Memory in Mathematics Learning is an excellent example of the clear and concise communication of research that these Expressos provide.
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George Stone (@DrStoneMaths) is producing one slide summaries of interesting educational research papers.
Craig Barton has an excellent selection of research papers he recommends for teachers. Craig has structured this really clearly as you can see from his Contents.
Craig states that his page contains the academic research he has read that has influenced the way he plans and teaches mathematics.
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From Loughborough University see their online professional development videos.
See also Research – Learning & Teaching. relevant for teachers of any subject.