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Direct linkBishop, Jessica P.; Lamb, Lisa L.; Philipp, Randolph A.; Whitacre, Ian; Schappelle, Bonnie P. – Research in Mathematics Education, 2018
We share a subset of the 41 underlying strategies that comprise five ways of reasoning about integer addition and subtraction: formal, order-based, analogy-based, computational, and emergent. The examples of the strategies are designed to provide clear comparisons and contrasts to support both teachers and researchers in understanding specific…
Descriptors: Thinking Skills, Numbers, Numeracy, Comparative Analysis
Murray, Eileen – Research in Mathematics Education, 2018
Mathematics educators advocate for the use of models as an instructional practice that can potentially aid in building students' understanding of difficult topics. Integers and integer operations are historically problematic for students and are critically important in both arithmetic and the future study of algebra. In this chapter, I explore one…
Descriptors: Mathematical Models, Numbers, Mathematics Instruction, Problem Solving
Mix, Kelly S., Ed.; Battista, Michael T., Ed. – Research in Mathematics Education, 2018
This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This…
Descriptors: Mathematics Education, Mathematics Instruction, Spatial Ability, Problem Solving
