For the complete slide set from BCME Conference 2018:
Low Stakes Testing in the Mathematics Classroom BCME 2018
or pdf Low Stakes Testing in the Mathematics Classroom BCME 2018
The main section used at the conference was ‘Retrieval Practice’.
Watch this space for more on this subject. I plan to develop a series of pages – an ongoing project. If you are looking for particular resources or have questions/suggestions/observations, please contact me.
From The Learning Scientists see these valuable resources to support the techniques described here. Note the excellent downloadable materials on study strategies. Each strategy is backed up by research.
Rosenshine’s ‘Principles of Instruction‘ provides a very valuable list of research strategies teachers should know about and I believe it is well worth asking ourselves if we are incorporating these strategies regularly into our lessons. This UNESCO pamphlet on the Principles offers further reading and for a very clear summary of these principles of instruction, see from TeachingHOW2s this excellent summary; stick this poster on your walls! (Alternative version – yellow background).
Links and Further Reading
- Is the Feedback You’re Giving Students Helping or Hindering? Dylan Wiliam, 2014
- What Makes Great Teaching Review of the underpinning research.Robert Coe, Cesare Aloisi, Steve Higgins and Lee Elliot Major, October 2014
- Students on good Maths Teachers
- Aural Tests
- Desmos Graphing Calculator
- Learn to use WolframAlpha includes many useful examples including queries for younger students.
- Here’s the Diagram, What’s the Question?
- Algebra Snippets
- Good Mathematicians Can Go Backwards!
- Problems and Activities
- SSDD Problems
- TES Collective Memory
- A Box – GCSE Revision Activity
- Underground Maths
A really useful source of questions which can be used for Aural tests are the mental tests from CIMT; these are included with their resources for Years 7, 8 and 9 and also for GCSE. For Key Stage 3 (ages 11-14) scroll down this page for the Year 7, Year 8 and Year 9 course material, the resources include mental tests as part of the teacher support material. On the GCSE page scroll down to the teacher support material and note the mental tests available for most units, see this on Formulae for example.
It is possible to save a particular selection of topics as the URL for your selection will be generated. It is also possible to drag the panels so your questions are displayed in the desired order. The beginning of a lesson can be an ideal time to review previous learning, starters like this can be ideal.
Included with Spot the mistake we have excellent resources from Andy Lutwyche, look at his excellent Erica’s Errors series and if we check on TES, these free resources also include plenty of errors from Clumsy Clive! I have found these work really well in class.
A very useful resource is this booklet of sample questions which has been created as part of a project funded by the NCETM on Questioning the use of Bloom’s Taxonomy. I have tried many of these in the classroom, they really make students think and encourage a deep understanding. 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. This includes many practical suggestions for the classroom and concludes with a self analysis. The project includes the use of Bloom’s Taxonomy as an aid to thinking about the level of challenge / thinking required for a question.
- Research in 100 Words, Chris Moyse
- Improving Students’ Learning With Effective Learning Techniques: Promising Directions From Cognitive and Educational Psychology John Dunlosky, Katherine A. Rawson , Elizabeth J. Marsh, Mitchell J. Nathan, and Daniel T. Willingham
- Retrieval Practice website subscribe (free) for research, resources and tips
- Retrieval Practice Library (guides to download)
- Retrieval Practice Guide to Make It Stick book
- What Works, What Doesn’t
- Highlighting is a Waste of Time
- Learn How To Study Using Retrieval Practice, Learning Scientists, June 2016,
- What is worth reading for teachers interested in research? Professor Robert Coe, June 2016
- 7 Recommendations to Improve Student Learning based on Pashier et al, 2007 – Organising Instruction & Study to Improve Student Learning, Belmont Teach
- Test-Enhanced Learning in the Classroom: Long-Term Improvements From Quizzing – 2011, Henry L. Roediger III, Pooja K. Agarwal, Mark A. McDaniel, and Kathleen B. McDermott Washington University in St. Louis, 2011
- Retrieval as a Memory Modifier: an interpretation of negative recency and related phenomena.
Robert A Bjork, 1975
- Who’s the most tested one of all? Tim Oates, 2016