Funded by the National Science Foundation and successfully field-tested in a variety of settings, the materials presented give teachers the opportunity to grow as learners for the classes they teach.
This arsenal of tips and techniques eases new students into undergraduate mathematics, unlocking the world of definitions, theorems, and proofs.
This process has also been called “encapsulation” by the mathematics educator Ed Dubinsky.37 What is this “elusive something that makes us feel that we have grasped the essence of a concept, a relation, or a proof”?38 Whatever this ...
A. Keats, K. F. Collis, & G. S. Halford (Eds.), Cognitive Development: Research Based on a Neo-Piagetian approach. New York: John VViley & Sons. ... Cottrill,J., Dubinsky, E., Nichols, D., Schwingendorf, K., Thomas, K., & References 43 5.
There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice.
Ro was an artificial language created in 1906 by the Reverend Edward Powell Foster, who aimed to replace the thicket of English vocabulary with a lexicon in which the meaning of each word could be derived logically from its sound.
The mathematics educators Dubinsky and Levin claim, “It would seem that one never has direct access to cognitive processes...but, at best, only to what an individual can articulate or demonstrate at the moment of insight itself.
"Mathematical thinking is not the same as 'doing math'--unless you are a professional mathematician.
This Facilitator Guide and accompanying CD-ROM provides resources for planning and implementing courses and workshops using Ways to Think About Mathematics by containing: Commentary on the activities Pedagogical suggestions (materials ...
If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic -- for example, emotion -- is vital to how we think and communicate.
This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work ...