Numbers Rule: The Vexing Mathematics of Democracy, from Plato to the PresentSince the very birth of democracy in ancient Greece, the simple act of voting has given rise to mathematical paradoxes that have puzzled some of the greatest philosophers, statesmen, and mathematicians. Numbers Rule traces the epic quest by these thinkers to create a more perfect democracy and adapt to the ever-changing demands that each new generation places on our democratic institutions.
Classroom-tested strategies to help new and experienced math teachers thrive •Math teachers must not only instruct their students in basic mathematical skills and concepts, they must also prepare them for standardized tests, provide instruction in the use of technology, and teach problem-solving and critical-thinking skills. At the same time, they must also manage their other responsibilities – taking attendance, planning, grading, record-keeping, disciplining, and communicating with parents and administrators.
Lectures on Classical Differential Geometry: Second Edition
Excellent brief introduction presents fundamental theory of curves and surfaces and applies them to a number of examples. Topics include curves, theory of surfaces, fundamental equations, geometry on a surface, envelopes, conformal mapping, minimal surfaces, more. Well-illustrated, with abundant problems and solutions. Bibliography.
Algebra is probably the most difficult aspect of mathematics to teach successfully and it is widely viewed by pupils as "boring" and "pointless". Nonetheless, it provides the key to the great power and potential interest of mathematics. At a time when much is being done to improve children's understanding of number, algebra teaching is too often characterized by ineffective rote learning approaches with little heed being taken of research findings and the potential of technology. This authoritative book shows a way forward.
What is number sense? How does children's number sense develop? What are the most effective teaching methods and resources? How can research findings inform classroom practice? The fully revised second edition of the best-selling "Teaching Number Sense" is the book to help you answer these questions, and more.
