MATHEMATICS · TEXTBOOKS
Randall I. Charles
Dr. Randall I. Charles is Professor Emeritus in the Department of Mathematics at San Jose State University, San Jose, California. He has dedicated his life to mathematics education and works closely to train teachers at all grade levels. His primary research has focused on problem solving, with publications such as Teaching Problem Solving: What, Why, and How (Dale Seymour), Teaching and Assessing Problem Solving (NCTM), How to Evaluate Progress in Problem Solving (NCTM), and Teaching Mathematics through Problem Solving. Dr. Charles has served as a K–12 mathematics supervisor, Vice President of the National Council of Supervisors of Mathematics, and member of the NCTM Research Advisory Committee. Dr. Charles was also a member of the writing team for the NCTM Curriculum Focal Points (2006). He has authored or coauthored more than 75 mathematics textbooks for the elementary, middle school, secondary, and collegiate levels. Dr. Charles served as the lead author for Scott Foresman - Addison Wesley Mathematics ©2008 and Prentice Hall Mathematics ©2007/2008, and is the lead author for Scott Foresman - Addison Wesley enVisionMATH ©2009. Source: [Goodreads](
Most acclaimed
Mathematics
"Mathematics: The New Golden Age offers a glimpse of the extraordinary vistas and bizarre universes opened up by contemporary mathematicians: Hilbert's tenth problem and the four-color theorem, Gaussian integers, chaotic dynamics and the Mandelbrot set, infinite numbers, and strange number systems. Why a "new golden age"? According to Keith Devlin, we are currently witnessing an astronomical amount of mathematical research. Charting the most significant developments that have taken place in mathematics since 1960, Devlin expertly describes these advances for the interested layperson and adroitly summarizes their significance as he leads the reader into the heart of the most interesting mathematical perplexities - from the biggest known prime number to the Shimura-Taniyama conjecture for Fermat's Last Theorem."--BOOK JACKET.
Geometry
From the reviews: "A prominent research mathematician and a high school teacher have combined their efforts in order to produce a high school geometry course. The result is a challenging, vividly written volume which offers a broader treatment than the traditional Euclidean one, but which preserves its pedagogical virtues. The material included has been judiciously selected: some traditional items have been omitted, while emphasis has been laid on topics which relate the geometry course to the mathematics that precedes and follows. The exposition is clear and precise, while avoiding pedantry. There are many exercises, quite a number of them not routine. The exposition falls into twelve chapters: 1. Distance and Angles.- 2. Coordinates.- 3. Area and the Pythagoras Theorem.- 4. The Distance Formula.- 5. Some Applications of Right Triangles.- 6. Polygons.- 7. Congruent Triangles.- 8. Dilatations and Similarities.- 9. Volumes.- 10. Vectors and Dot Product.- 11. Transformations.- 12. Isometries.This excellent text, presenting elementary geometry in a manner fully corresponding to the requirements of modern mathematics, will certainly obtain well-merited popularity. Publicationes Mathematicae Debrecen#1