Conjecturing and generalising
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pageProblem Solving, Using and Applying and Functional Mathematics
Problem solving is at the heart of the NRICH site. All the problems give learners opportunities to learn, develop or use mathematical concepts and skills. Read here for more information. -
listGeneralising
These tasks give learners chance to generalise, which involves identifying an underlying structure. -
articleMastering Mathematics: The Challenge of Generalising and Proof
This article for primary teachers discusses how we can help learners generalise and prove, using NRICH tasks as examples.
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articleWhy Dialogue Matters in Primary Proof
In this article for Primary teachers, Ems explores three essential features of proof, all of which can be developed in the context of primary mathematics through talk.
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articleGames Related to Nim
This article for teachers describes several games, found on the site, all of which have a related structure that can be used to develop the skills of strategic planning.
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articleGo Forth and Generalise
Spotting patterns can be an important first step - explaining why it is appropriate to generalise is the next step, and often the most interesting and important.
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articleSpaces for Exploration
Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.
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articleTrain Spotters' Paradise
Dave Hewitt suggests that there might be more to mathematics than looking at numerical results, finding patterns and generalising.
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listConjecturing and Generalising - Short Problems
A collection of short Stage 3 and 4 problems on Conjecturing and Generalising