W. Gary Martin
The message of Focus in High School Mathematics: Reasoning and Sense Making, NCTM's new (2009) publication on high school mathematics, is simple: Reasoning and sense making provide a focus for high school mathematics that will give students a foundation for their future success.
Alan Schoenfeld
Mathematics—it all fits together! When you’ve figured out how something works mathematically, the bottom line is as plain as day.
Jerry Legé
Modeling
and then designing a picket fence allows students to use real-life mathematics
to develop a mathematical habit of mind.
Megan Bomer, Matthew Kaufmann, Nancy Powell
Much axiomatic reasoning, the basis of proof, occurs while students play games.
Beverly Hartter
Analyzing
and discussing examples and nonexamples of functions can help address students’
misconceptions about this important concept.