Early Algebra

This survey of the state of theart on research in early algebra traces the evolution of a relatively new fieldof research and teaching practice. With its focus on the younger student, agedfrom about 6 years up to 12 years, this volume reveals the nature of the researchthat has been carried out in ea [...]
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This survey of the state of theart on research in early algebra traces the evolution of a relatively new fieldof research and teaching practice. With its focus on the younger student, agedfrom about 6 years up to 12 years, this volume reveals the nature of the researchthat has been carried out in early algebra and how it has shaped the growth ofthe field. The survey, in presenting examples drawn from the steadily growingresearch base, highlights both the nature of algebraic thinking and the ways inwhich this thinking is being developed in the primary and early middle schoolstudent. Mathematicalrelations, patterns, and arithmetical structures lie at the heart of earlyalgebraic activity, with processes such as noticing, conjecturing,generalizing, representing, justifying, and communicating being central tostudents' engagement.