Knowledge of Mathematics
Accomplished mathematics teachers have a broad and deep knowledge of the concepts, principles, techniques, and reasoning methods of mathematics, and they use this knowledge to set curricular goals and shape their instruction and assessment. They understand significant connections among mathematical ideas and the applications of these ideas to problem solving in mathematics, in other disciplines, and in the world outside of school.

Reflection on the Standard
As the inheritors of over 6,000 years of accumulated scholarship and effort, contemporary mathematicians are the beneficiaries of the greatest minds humanity has yet produced. In addition to being intrinsically fascinating, mathematics is the common language of science, engineering, and commerce.

The effective mathematics teacher must be simultaneously aware of small details and broad vistas, guiding his or her students through the intricacies of an exacting and demanding quantitative science while giving them an appreciation for mathematics as a human accomplishment and ongoing endeavor. Such an ability is developed gradually over a lifetime with its foundations laid by formal academic training to be built upon by experience and reflection.

Evidence, Examples, and Artifacts
Sample artifacts are being collected and will appear at a later date.

 

Dr. Michael P. Ida
Kalani High School
4680 Kalanianaole Hwy.
Honolulu, HI 96821
(808) 377-7744

Hawaii Public Schools

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