
Ways of Thinking Mathematically
Accomplished mathematics teachers develop students’ abilities to
reason and think mathematicallyto investigate and explore patterns,
to discover structures and establish relationships, to formulate and
solve problems, to justify and communicate their conclusions, and to
question and extend those conclusions.
Reflection on the Standard
More than just a dull, dry collection of disparate procedures and
rules, mathematics is a coherent and dynamic problem solving juggernaut.
While a fair amount of structure and practice are essential to the
learning of mathematics, so too are discovery and wonderment. By challenging
students with substantial and sophisticated problems, and by requiring
them to communicate their thought processes and results in a clear
and coherent fashion, the effective mathematics teacher instills in
his or her students not only competence in the procedures of mathematics,
but also an appreciation for its power and possibilities.
Evidence, Examples, and Artifacts
Sample artifacts are being collected and will appear at a later date.