Rules Mathematics

Math Rules!

Common Core Standards a Step-By-Step Approach: Mathematics - Grades K-5

Excelling at math is no longer simply a matter of getting answers right. Today, the Common Core State standards require not only computational fluency, but also a deep level of comprehension and critical thinking skills. Common Core Standards: A Step-by-Step Approach - Mathematics, Grades K-5 guides teachers in implementing instruction that builds the full range of mathematics skills outlined in the Common Core State Standards for Mathematics. Written by Toby Karten, an educator with more than 30 years of experience, this six-page (tri-fold) laminated guide clearly identifies that process. Strategies are offered for individual grade-level teaching, from kindergarten through fifth grade. Examples and suggestions for differentiating instruction to meet the unique needs and learning styles of diverse students in inclusive classrooms are offered as well in this comprehensive tool for teachers.

Five Golden Rules

In Five Golden Rules, John L. Casti serves as curator to a brilliant collection of 20th-century mathematical theories, leading us on a fascinating journey of discovery and insight. Probing the frontiers of modern mathematics, Casti examines the origins of some of the most important findings of this century. This is a tale of mystery and logic, elegance and reason; it is the story of five monumental mathematical breakthroughs and how they shape our lives. All those intrigued by the mathematical process, nonacademics and professionals alike, will find this an enlightening, eye-opening, and entertaining work. High school algebra or geometry - and enthusiasm - are the only prerequisites. From the theorem that provided the impetus for modern computers to the calculations that sent the first men to the Moon, these breakthroughs have transformed our lives. Casti illustrates each theorem with a dazzling array of real-world problems it has helped solve - how to calculate the shape of space, optimize investment returns, even chart the course of the development of organisms. Along the way, we meet the leading thinkers of the day: John von Neumann, L. E. J. Brouwer, Marston Morse, and Alan Turing, among others. And we come to understand the combination of circumstances that led each to such revolutionary discoveries as the Minimax Theorem, which spawned the exciting field of game theory, and the Simplex Method, which underpins the powerful tools of optimization theory.