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Nanna, Robert J. – The Mathematics Educator, 2016
Algorithms and representations have been an important aspect of the work of mathematics, especially for understanding concepts and communicating ideas about concepts and mathematical relationships. They have played a key role in various mathematics standards documents, including the Common Core State Standards for Mathematics. However, there have…
Descriptors: Mathematics, Common Core State Standards, Mathematics Instruction, Mathematical Concepts
Stokes, Patricia D. – Journal of Mathematics Education at Teachers College, 2016
Experts think in patterns and structures using the specific "language" of their domains. For mathematicians, these patterns and structures are represented by numbers, symbols and their relationships (Stokes, 2014a). To determine whether elementary students in the United States could learn to think in mathematical patterns to solve…
Descriptors: Problem Solving, Expertise, Grade 2, Elementary School Mathematics
Confrey, Jere – North American Chapter of the International Group for the Psychology of Mathematics Education, 2012
The paper describes the history of how learning trajectories (LTs) were associated with the Common Core State Standards for Mathematics (CCSS-M) and discusses the degree to which the two correspond faithfully. It reports on a website, www.turnonccmath.com, which organizes the K-8 standards into 18 LTs describing the development of big ideas over…
Descriptors: Common Core State Standards, Arithmetic, Multiplication, Elementary School Mathematics