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Graham, Karen; Cuoco, Albert; Zimmermann, Gwendolyn – National Council of Teachers of Mathematics, 2010
This book examines the five key elements (meaningful use of symbols, mindful manipulation, reasoned solving, connection algebra with geometry, and linking expressions and functions) identified in "Focus in High School Mathematics: Reasoning and Sense Making" in more detail and elaborates on the associated reasoning habits. This volume is one of a…
Descriptors: High School Students, Symbols (Mathematics), Geometry, Algebra
National Council of Teachers of Mathematics, 2010
Classically, geometry has been the subject in which students encounter mathematical proof based on formal deduction. Attention to proof in the geometry curriculum is strengthened by a focus on reasoning and sense making. This book examines the four key elements (conjecturing about geometric objects, construction and evaluation of geometric…
Descriptors: Geometry, Secondary School Mathematics, High Schools, Geometric Concepts