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Karp, Karen S.; Bush, Sarah B.; Dougherty, Barbara J. – Mathematics Teaching in the Middle School, 2015
Many rules taught in mathematics classrooms "expire" when students develop knowledge that is more sophisticated, such as using new number systems. For example, in elementary grades, students are sometimes taught that "addition makes bigger" or "subtraction makes smaller" when learning to compute with whole numbers,…
Descriptors: Mathematics Instruction, Secondary School Mathematics, Middle School Students, Standards
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Lee, Jae Ki; Licwinko, Susan; Taylor-Buckner, Nicole – Journal of Mathematics Education at Teachers College, 2013
PEMDAS is a mnemonic device to memorize the order in which to calculate an expression that contains more than one operation. However, students frequently make calculation errors with expressions, which have either multiplication and division or addition and subtraction next to each other. This article explores the mathematical reasoning of the…
Descriptors: Case Studies, Mathematics, Mathematics Instruction, Mathematical Logic