The goal is for students to develop automaticity, which is the ability to use skills or perform mathematical procedures with little or no mental effort. Automaticity with math facts also supports students in critical thinking and problem solving.
– Focusing on the Fundamentals of Math – A Teacher’s Guide, p.2
Video Selections
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Skills People Really Use in a Technological Society (2:35)
From "Leaders in Educational Thought: Mathematics K12"
Proficiency (2:10)
From "Leaders in Educational Thought: Special Edition on Mathematics (2013)"
Text Resources
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A Guide to Effective Instruction in Mathematics 46, Number Sense and Numeration, Vol 2, Addition and Subtraction 

A Guide to Effective Instruction in Mathematics K6, Vol 5, Teaching Basic Facts and Multidigit Computations 