The Stair-Step Approach in Mathematics

  • Hayk Sedrakyan
  • Nairi Sedrakyan

Part of the Problem Books in Mathematics book series (PBM)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Hayk Sedrakyan, Nairi Sedrakyan
    Pages 1-17
  3. Hayk Sedrakyan, Nairi Sedrakyan
    Pages 19-33
  4. Hayk Sedrakyan, Nairi Sedrakyan
    Pages 35-54
  5. Hayk Sedrakyan, Nairi Sedrakyan
    Pages 55-74
  6. Hayk Sedrakyan, Nairi Sedrakyan
    Pages 75-90
  7. Hayk Sedrakyan, Nairi Sedrakyan
    Pages 91-95
  8. Hayk Sedrakyan, Nairi Sedrakyan
    Pages 97-524
  9. Hayk Sedrakyan, Nairi Sedrakyan
    Pages 525-530
  10. Back Matter
    Pages 531-531

About this book


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.


Math Problems Mathematic Olympiads Algebra Combinatorics Number Theory Geometry and Trigonometry Calculus Problems and Solutions Mathematical Competition

Authors and affiliations

  • Hayk Sedrakyan
    • 1
  • Nairi Sedrakyan
    • 2
  1. 1.University Pierre and Marie Curie ParisFrance
  2. 2.YerevanArmenia

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-70631-3
  • Online ISBN 978-3-319-70632-0
  • Series Print ISSN 0941-3502
  • Series Online ISSN 2197-8506
  • Buy this book on publisher's site
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