Good teaching is responsive to individual differences, tailoring instruction to meet the needs of individual learners. In gifted education, students need a curriculum that is differentiated (by level, complexity, breadth and depth), developmentally appropriate and conducted at a more rapid rate. This collection of essays from experts in the field addresses the particular needs educational institutions have in serving their gifted students. Topics include policy and philosophy; specific programme models; supplemental materials and programmes; knowledge and skills that teachers need in their...

This book starts with simple arithmetic inequalities and builds to sophisticated inequality results such as the Cauchy-Schwarz and Chebyshev inequalities. Nothing beyond high school algebra is required of the student. The exposition is lean. Most of the learning occurs as the student engages in the problems posed in each chapter. And the learning is not ``linear''. The central topic of inequalities is linked to others in mathematics. Often these topics relate to much more than algebraic inequalities. There are also ``secret'' pathways through the book. Each chapter has a subtext, a theme...