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Cetner, Michelle – Mathematics Teacher, 2015
When thinking about student reasoning and sense making, teachers must consider the nature of tasks given to students along with how to plan to use the tasks in the classroom. Students should be presented with tasks in a way that encourages them to draw connections between algebraic and geometric concepts. This article focuses on the idea that it…
Descriptors: Mathematics Instruction, Teaching Methods, Geometry, Algebra
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
Edwards, Michael todd; Quinlan, James; Harper, Suzanne R.; Cox, Dana C.; Phelps, Steve – Mathematics Teacher, 2014
Despite Common Core State Standards for Mathematics (CCSSI 2010) recommendations, too often students' introduction to proof consists of the study of formal axiomatic systems--for example, triangle congruence proofs--typically in an introductory geometry course with no connection back to previous work in earlier algebra courses. Van Hiele…
Descriptors: Mathematics Instruction, Logical Thinking, Validity, Secondary School Mathematics
Pritchard, Christine K.; Lamb, John H. – Mathematics Teacher, 2012
NCTM (2000) described geometry as "a means of describing, analyzing, and understanding the world and seeing beauty in its structures" (p. 309). Dossey et al. (2002) captured the essence of this aspect of visualization by stating that geometry fosters in students an ability to "visualize and mentally manipulate geometric objects." (p. 200).…
Descriptors: Teaching Methods, Visual Impairments, Geometry, Geometric Concepts
Breunlin, R. James; Kasper, Timothy A.; Kolet, Michelle; Letzel, Kendra; Letzel, Thomas; Noah, John; Schutte, Jennifer; Williams, Bob; Zickert, Chris – Rowman & Littlefield Education, 2006
This book is the result of the collaborative effort of nine AYA National Board Certified Teachers in Mathematics. It represents a compilation of teacher-tested activities that prompt high school students to explore, conjecture and reflect on their mathematical adventures-- thus "experience mathematics." This edition will educate the teacher…
Descriptors: Student Participation, Student Motivation, Cognitive Psychology, Mathematics Education