Revealing Arithmetic Book Extras

This page includes information for those using Revealing Arithmetic.


The Revealing Arithmetic eCourse coming soon on the Master Books Academy allows parents to watch Katherine give examples of teaching the different concepts, walks through making an abacus, and more. If you’re more visual or auditory, you’ll find these videos engaging ways to quickly understand the concept biblically and be equipped to teach it that way too. The videos, while aimed at parents, would also work for older students or adults seeking to firm up their arithmetic and understand it in light of biblical principles.

Websites for Further Study

When using resources on external sites, keep in mind that we have included the site because it had some helpful material, but do not necessarily endorse all of its offerings (and note that sites may also change over time). Please use your own discernment as to what material would be helpful. Due to the changing nature of websites, please also note sites might not be the same as when this was written.

Historic Math Books Online

Math books from the 1800s often offer a rich collection of word problems modern math books just do not include. Older math books typically present rules without much fanfare, followed by real-life applications.

Due to their Old English wording and period-based examples, these older books would only frustrate some children. However, others might have fun solving a few problems.

Google Books has a great collection of these older books digitized and available for free preview and download. A few are listed here, with abbreviated titles for the sake of space. Note that the majority of these books include the answers to most problems within the text; some have seperate answer keys. A few do not contain answers.

General Arithmetic Presentations and Example Problems

  • Adam’s New Arithmetic by Daniel Adams (1810, 1849) – Answer key to the 1849 edition is also online.
  • The American Arithmetic by James Robinson (1851)
  • Practical and Mental Arithmetic, on a New Plan by Roswell C. Smith (1829) – Other versions are also available.
  • Ray’s Primary Arithmetic by Joseph Ray – Google books also has the other books in the Ray’s series, as well as other editions. Note: Mott Media has reprinted these books. They also publish Ruth Beechick’s guide to using the Ray’s Arithmetic series, which I would recommend if you wanted to use these books as your main curriculum.
  • The Rudiments of Written Arithmetic by Horatio Nelson Robinson (1883)
  • The Scholar’s Arithmetic by Daniel Adams (1830)
  • The Scholar’s Guide to Arithmetic by John Bonnycastle (1851)
  • Stoddard’s Rudiments of Arithmetic by John F. Stoddard (1866)

Resources Specifically for Older Students

  • Applied Mathematics for Junior High Schools and High Schools by Eugene Henry Barker (1920) – This book both teaches and applies arithmetic. It also covers some algebra. It does not, however, include answers to problems.
  • Practical Arithmetic by David Eugene Smith (1905) – This book contains lots of practical examples–and includes the answers!
  • Ray’s Intellectual Arithmetic, Practical Arithmetic, and Higher Arithmetic – The keys to these volumes are also available online. See note in previous section under Ray’s Primary Arithmetic.
  • A Secondary Arithmetic, Commercial and Industrial by John Charles Stone and James Franklin Millis (1908) – This book contains lots of business, science, and vocational applications and problems, but answers to most of the problems are not included.

Books for Further Study

Note that these materials do not necessarily come from a biblical worldview. Some may be available at your local library. Quite a few of them are written at a high school level or beyond. Even though Revealing Arithmetic focuses on elementary arithmetic, I chose to mention these higher-level resources because some of them may serve as references for you as the parent.


James Nickel’s Mathematics: Is God Silent? does an excellent job exploring math’s history and discussing numerous mathematicians’ beliefs and mathematical achievements, exposing the fallacies or strengths in their worldviews. It is written at a high school plus level.

Exploring the World of Mathematics by John Hudson Tiner (published by Master Books) is a good resource for general historical as well as scientific/application information.

Quipus: For an in-depth look at quipus, see Marcia and Robert Ascher’s Mathematics of the Incas. The book is written at an adult level, but contains some fascinating information.


Gareth Stevens has produced a fun series by Wendy and David Clemson whose titles all begin Using Math to… These books have students use math in real-life occupations in an extremely engaging way. They also have an I Use Math at… series by Joanne Mattern that integrates math into real-life settings for very young children. Either could make a fun summer activity or birthday present.

Percents/Statistics: For examples of how percents can be interpreted incorrectly, see if your library has Darrell Huff’s How to Lie with Statistics. This book contains hundreds of examples of how percents and statistics are twisted or misrepresented.


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