Illustrate the understanding of the evolution of children's
mathematical concepts from actions on objects to transformations of mental
images to abstractions;
Exemplify an understanding of the elementary mathematics curriculum
and appropriate evolutions of mathematical concepts as well as related
concrete materials for developing the concepts throughout the elementary
curriculum in space, measurement, geometry, number and arithmetic, logic and
reasoning, probability and statistics;
Develop an awareness of instructional materials including technology
for bringing about effective learning;
Develop an understanding of factors related to mathematics achievement
and how to bring about effective learning experiences, taking these
factors into consideration;
Exemplify ways of integrating computers and other technologies into
the mathematics curriculum.
Illustrate ways of implementing a problem-oriented learning
environment, including effective uses of problem-solving strategies and
application within and outside mathematics.
Effectively diagnose students` mathematics knowledge and
understandings in order to bring about effective learning experiences;
Examine mathematics as an integrated whole by studying the
interrelationships between various branches of mathematics and
recognizing its relevance to the real-world;
Examine significant historical and cultural mathematical
developments;
Examine various methods of assessment of effective mathematics
learning;
Establish credibility with colleagues through competence and
integrity, and help peers achieve goals by communicating feelings and
ideas to justify or successfully negotiate a position which advances goal
attainment.