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The goal should be to provide opportunities for students to come to recognize, informally, how numbers and operations work. Only then should formal methods, such as algorithms, be introduced, modelled, and supported.

– Focusing on the Fundamentals of Math – A Teacher’s Guide, p.4

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A Guide to Effective Instruction in Mathematics Gr. 1-3 Number Sense and Numeration

A Guide to Effective Instruction in Mathematics Gr. 1-3 Number Sense and Numeration

A Guide to Effective Instruction in Mathematics, K-6, Number Sense and Numeration Vol 1, The Big Ideas THUMBNAIL

A Guide to Effective Instruction in Mathematics, K-6, Number Sense and Numeration Vol 1, The Big Ideas

Learning Mathematics vs Following "Rules": The Value of Student-Generated Methods

Learning Mathematics vs Following “Rules”: The Value of Student-Generated Methods

The Mathematical Territory Between Direct Modelling and Proficiency, What Works THUMBNAIL

The Mathematical Territory Between Direct Modelling and Proficiency, What Works

A Guide to Effective Instruction in Mathematics 4-6, Number Sense and Numeration, Vol 3, Multiplication THUMBNAIL

A Guide to Effective Instruction in Mathematics 4-6, Number Sense and Numeration, Vol 3, Multiplication

A Guide to Effective Instruction in Mathematics K-6, Vol 5, Teaching Basic Facts and Multidigit Computations THUMBNAIL

A Guide to Effective Instruction in Mathematics K-6, Vol 5, Teaching Basic Facts and Multidigit Computations

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