• Would you like to include some history in your math classes, but don’t want to search through those big math history texts?
• Would you like to teach a math history course in your high school, but don’t have time to put one together?
• Would you like your students to do projects relating math to social studies and the arts, but don’t know where to start?
In either case, this book is for you!
Compact, easy to read, and economical, it is ideal as




Math through the Ages comes in two versions (see the pictures at right):
The original Second Edition is a 272
The Expanded 2nd Edition, co
• Where did math come from?
• Who thought up all those algebra symbols, and why?
• What’s the story behind π ?
• How did the ancient Egyptians write numbers?
• What did the Arabs contribute to mathematics?
• What’s the metric system?
• Who thought up sine and cosine?
• Who invented the first computers?
The main section of this book consists of 30 “sketches”—bite
The “big picture” is in a 58
Complex Chinese by Wu
Dutch by Epsilon Uitgaven, Amsterdam, Netherlands
Portuguese by Editora Blucher, São Paulo, Brazil (www.blucher.com.br)
Slovenian by Modrijan založba, Ljubljana, Slovenia (www.modrijan.si)
Math through the Ages
Second Edition, revised and enlarged
What’s New...
Five more historical Sketches have been added: (See the Contents page for what they are.) Also added is When They Lived, a listing before the Bibliography to replace the birth/death dates that had appeared intrusively throughout the text of the first edition.
What’s Changed...
What’s the Same...
Mindful of the many college professors whose courses have been built, at least in part, around the first edition, Sketches 1 – 25 have remained substantially the same. Parts of some have been reworked a bit, but all their “story lines” are unchanged, so they are still compatible with the Questions and Projects of the First Expanded Edition.
© 2006 – 2018 Oxton House Publishers, LLC
Made by Serif
“Math through the Ages is a treasure, one of the best history of math books at its level ever written. Somehow, it manages to stay true to a surprisingly sophisticated story, while respecting the needs of its audience. Its overview of the subject captures most of what one needs to know, and the 30 sketches are small gems of exposition that stimulate further exploration.”
Glen Van Brummelen, Quest University
President (2012
Canadian Society for History & Philosophy of Mathematics
“Mathematics describes the world, and its history connects us to it through time. Math through the Ages brings this story to anyone who wants to sit back and enjoy the tale as told by two superb storytellers. Always lighthearted yet succinct, Berlinghoff and Gouvêa’s style is comfortable and their message is clear: the history of mathematics is accessible to anyone.”
Amy Shell
Program Director, MAA History of Mathematics Special Interest Group
The Expanded Second Edition adds two pages of Questions and Projects to each Sketch and 27 detailed Project ideas at the end of the overview. A 120
NOTE: This Expanded Second Edition
is now published exclusively by the Mathematical Association of America;
ISBN: 978
Now published by
Dover Publications
[same 2nd ed. book; new cover]
Terms & Conditions 
Reading home 
Concept Phonics 
Decoding Test 
Fluency 
Say, Read, & Spell 
Reading in Context 
Handwriting 
Sounds & Spelling 
Teacher's Guides 
Contrast Cards 
Speed Drills 
Worksheets 
Word Lists 
VowelTeam Pictures 
Sentences & Paragraphs 
Sound Pack 
Research 
About Dr. Fischer 
Say, Read, & Spell samples 
Somerville 
Comprehension 
Somerville Samples 1 
Somerville Samples 2 
Mathematics home 
Math History 
Teach Math thru History 
Teach Algebra thru History 
Arithmetic Drills 
Nimble Numeracy 
Beckenbach Prize 
Pathways I samples 
Pathways II samples 
Sample 1 
Sample 2 
Sample 3 
Preface & Contents 
pages 89 
pages 1617 
Special Interest home 
Legacy of the Blue Heron 
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