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Open Math Notes

Resources and inspiration for math instruction and learning

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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

  • Draft works including course notes, textbooks, and research expositions. These have not been published elsewhere and are subject to revision.
  • Items previously published in the Journal of Inquiry-Based Learning in Mathematics, a refereed journal
  • Refereed publications at the AMS

Visitors are encouraged to download and use any of these materials as teaching and research aids, and to send constructive comments and suggestions to the authors.

Open Math Notes Advisory Board:

  • Karen Vogtmann, Chair | University of Warwick
  • Tom Halverson | Macalester College
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University
  • Mary Pugh | University of Toronto


Natasha Rozhkovskaya
Kansas State University
Reference #


Posted date
2022-04-24 20:40:54
Revised date
2022-04-24 20:40:54
Notes type
   Standard Course Offering
   Introduction to Mathematics
      Introduction to Proofs
      Mathematics for Liberal Arts
   Mathematics Education
   Number Theory
      Elementary Number Theory

Blue Book of Mathematics for Elementary School Teachers

In these lectures, we review elementary mathematics within the larger picture of modern mathematics. The main audience of the course are students with prospective careers in elementary school education.
The topics include: sets, properties of arithmetic operations, culture of calculations, exponents, decimal and non-decimal base systems, historical numeration systems, GCF(a,b) and LCM(a,b), prime factorization, divisibility tests.
Each chapter includes definitions, examples, exercises.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v1 PDF (20M) 04/24/22