# Introduction to Examples

The examples that follow correspond to the National Council of Teachers of Mathematics (NCTM) content standards and process standards. Our math trails complement and challenge the traditional math curriculum by creating new contexts for mathematical understanding in the world around us.

Numbers and operations; algebra; geometry; measurement; and, data analysis and probability are the 5 content standards, which are addressed in the design of every math trail. Problem solving; reasoning and proof; communication; connections; and, representations are the 5 process standards, which we integrate fully into every math trail.

The results offer robust experiences for learning experiences at all ages. Students explore new venues, oeuvres, frames of reference, paradigms and models of mathematical applications. This enables all students to build knowledge, integrate knowledge and interpret new knowledge through a mathematical lens.

At the conclusion of this section, Sample Questions and Dos and Don’ts are provided to help educators to design their own math trails. Once you have learned about math trails, you’ll see the world differently. Share this wonderful new perspective with all of your students. Happy Trails.

(See more examples under Math Encounters.)