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Making Sense Series
Making Sense Series
How do students make sense of the operations over time? View these videos from Graham Fletcher to learn more about developing deep understanding along a progression that defers direct instruction and expectations of mastery of the traditional algorithms until 4th and 5th grade.
Addition & Subtraction
Addition & Subtraction
Multiplication
Multiplication
Division
Division
Algorithms can be harmful to young children for two reasons:
Algorithms can be harmful to young children for two reasons:
(1) They encourage children to give up their own thinking.
(1) They encourage children to give up their own thinking.
(2) They “unteach” what children know about place value, thereby preventing them from developing number sense.
(2) They “unteach” what children know about place value, thereby preventing them from developing number sense.
Source: Kamii & Dominick, 2009
Filling the Void
Filling the Void
If not taught the standard or traditional algorithm, then how do students in grades 1, 2, and 3 compute with larger numbers? Fluency, accuracy, and efficiency develop over time through carefully crafted classroom experiences. These handouts provide a glimpse into the minds of students who develop thinking intuitively rather than algorithmically.
Introduction to Common Addition Strategies.pdfCopy of Introduction to Common Subtraction Strategies.pdfIntroduction to Common Multiplication Strategies.pdfIntroduction to Common Division Strategies.pdfReport abuse