Teachers can benefit from productive and manageable suggestions to align instruction to the intention of the Common Core's Standards for Mathematical Practice.
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Jae Ki Lee, Kyong Mi Choi, and Melissa McAninch
The L-shaped 2-5-3-7 algorithm, combining efficient Singaporean and Korean procedures with divisibility rules of primes 2, 3, 5, and 7, helps students identify LCMs and GCFs.
Debra I. Johanning
Research on how students add and subtract fractions indicates that students struggle to understand various algorithms.
Nicole M. Wessman-Enzinger
When solving temperature problems with negative integers, number sentences may be mathematically equivalent but not contextually equivalent.
Jeffrey M. Choppin, Carolyn B. Clancy, and Scott J. Koch
Allowing students to reason and communicate about integer operations, or any idea, before these ideas are formalized can be an important tool for fostering deep understanding.
Jeffrey M. Choppin, Cynthia H. Callard, and Jennifer S. Kruger
Student-generated algorithms, despite being inelegant and cumbersome, can nevertheless highlight a Common Core standard on rational number subtraction to show flexibility and understanding.
Robert Q. Berry III and Mark W. Ellis
See how one seventh-grade teacher melds NCTM's Process Standards, CCSSM's Standards for Mathematical Practice, and multidimensional teaching to engage students.
Jessica Pierson Bishop, Lisa L. Lamb, Randolph A. Philipp, Ian Whitacre, and Bonnie P. Schappelle
Reasoning about integers provides students with rich opportunities to look for and make use of structure.
Kami M. Dupree
Abandon mnemonics and make stronger connections between the operations and properties of arithmetic.
