In this book, the author offers a wide selection of student engagement strategies for math teachers in grades K-12. He shares his class-tested ideas in a clear and spirited voice, with his devotion to the teaching profession and his students apparent on every page. With invaluable ideas to help students remain engaged for longer time periods, this…

Infinity has contradictions arising from its nature. Since mind is actually adapted to finite realities attained by behaviors in space and time, when one starts to deal with real infinity, contradictions will arise. In particular, Cantorian Set Theory, for it involves the notion of "equivalence of a set to one of its proper subsets," causes…

This paper analyses a lecture by an excellent teaching award winner professor of mathematics, given to high school mathematics teachers. The analysis is based upon two sources: (i) the lecture plan, as expressed in a series of 29 transparencies, prepared by the lecturer in advance; (ii) the actual implementation of the lecture, as transcribed from…

"Principles and Standards for School Mathematics" outlines essential features crucial to teaching mathematics so that all students have opportunities to learn mathematics content with conceptual understanding. Although the document outlines extensive goals for the teaching and learning of mathematics, the majority of classrooms fall short in its…