The Stair-Step Approach in Mathematics

Description

This book is intended as a teacher’s manual and as an independent-study handbook for students and mathematical competitors. Based on a traditional teaching philosophy and a non-traditional writing approach (the stair-step method), this book consists of new problems with solutions created by the authors. The main idea of this approach is to start from relatively easy problems and “step-by-step” increase the level of difficulty toward effectively maximizing students' learning potential. In addition to providing solutions, a separate table of answers is also given at the end of the book. A broad view of mathematics is covered, well beyond the typical elementary level, by providing more in depth treatment of Geometry and Trigonometry, Number Theory, Algebra, Calculus, and Combinatorics. Front Matter ....Pages i-xix Geometry and Trigonometry (Hayk Sedrakyan, Nairi Sedrakyan)....Pages 1-17 Number Theory (Hayk Sedrakyan, Nairi Sedrakyan)....Pages 19-33 Algebra (Hayk Sedrakyan, Nairi Sedrakyan)....Pages 35-54 Calculus (Hayk Sedrakyan, Nairi Sedrakyan)....Pages 55-74 Combinatorics (Hayk Sedrakyan, Nairi Sedrakyan)....Pages 75-90 Hints (Hayk Sedrakyan, Nairi Sedrakyan)....Pages 91-95 Solutions (Hayk Sedrakyan, Nairi Sedrakyan)....Pages 97-524 Answers (Hayk Sedrakyan, Nairi Sedrakyan)....Pages 525-530 Back Matter ....Pages 531-531