Patterns, The Foundations for Algebraic Reasoning
(Prerequisite for other courses)

In this course, the first in MEC’s series of mathematics content courses, participants have an opportunity to live and learn mathematics within a supportive learning environment that models optimal classroom practice.  Participants solve challenging and engaging problems both collaboratively and as independent problem solvers, and engage with colleagues in professional discussions around provocative issues.

 Participants develop and / or deepen their understanding of the following:

  • a variety of patterns that have proven their mathematical power and significance;
  • generalization of patterns using symbols, words, tables, pictures;
  • the notion of functions and relationships among the various representations –  graphical, numerical or tabular, geometric, algebraic and verbal;
  • a variety of functions and relations with particular emphasis on linear functions;
  • the role and importance of clear communication using proper mathematical language and notation;
  • the importance of valuing multiple ways to solve a mathematical problem;
  • simplifying equations and expressions;
  • the tenets of constructivism as applied to mathematical learning;
  • what it means to have a productive mathematical disposition;
  • what it means to be a powerful user of mathematics;
  • ways to use reflective assessment practices that enhanced student learning and performance.