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Direct linkMurawska, Jaclyn M.; Zollman, Alan – Mathematics Teaching in the Middle School, 2015
Although discussions about inductive reasoning can be traced back thousands of years (Fitelson 2011), the implementation of the Standards for Mathematical Practice (SMP) within the Common Core State Standards (CCSSI 2010) is generating renewed attention to how students learn mathematics. The third SMP, "Construct viable arguments and critique…
Descriptors: Mathematics Instruction, Secondary School Mathematics, Middle School Students, Mathematical Logic
Koellner, Karen; Pittman, Mary; Frykholm, Jeffrey – Mathematics Teaching in the Middle School, 2008
This article focuses on the ways in which four eighth-grade girls, each with varying levels of algebraic understanding, share ideas, debate, and gradually move toward generalizations inherent in the "Painted Cube" problem. The intent of this article is to examine how students move to progressive formalization and to provide insights into the ways…
Descriptors: Algebra, Grade 8, Females, Secondary School Mathematics
Peer reviewedLannin, John K. – Mathematics Teaching in the Middle School, 2003
Describes students' generalization strategies and justifications as they engage in patterning activities. (YDS)
Descriptors: Algebra, Concept Formation, Generalization, Mathematics Education
