I'm trying to learn arithmetic from scratch again. Even though I can use it, I'm not sure if I can teach it to someone and I believe if you can't teach something properly, there might be loopholes in your understanding. Hence, I'm looking for a book that discusses various topics of arithmetic, like numbers (counting, fractions, integers, rational, real), numerals, place value number systems, addition, multiplication, division, etc very explicitly.
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- 6$\begingroup$ See Which topics and textbooks to learn elementary school arithmetic and beyond? Maybe also Books about elementary mathematics written like a good undergraduate textbook, especially if you're more theoretically inclined (but still rusty with the mechanics of basic arithmetic). $\endgroup$Dave L Renfro– Dave L Renfro2023-01-14 14:57:32 +00:00Commented Jan 14, 2023 at 14:57
- $\begingroup$ Duplicate of math.stackexchange.com/q/1963961 ? $\endgroup$user131533– user1315332023-01-15 07:40:03 +00:00Commented Jan 15, 2023 at 7:40
- 1$\begingroup$ Would you be interested in mathematics education textbooks intended for training teaching students to become mathematics educators? $\endgroup$nick012000– nick0120002023-01-16 08:42:47 +00:00Commented Jan 16, 2023 at 8:42
- $\begingroup$ @nick012000 Yes, anything works as long as it is detailed on the arithmetic concepts. $\endgroup$Harshit Rajput– Harshit Rajput2023-01-16 09:07:58 +00:00Commented Jan 16, 2023 at 9:07
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4 Answers
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You might check out the OpenStax Prealgebra text. It seems to have much of what you’re looking for.
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I have used this book to help me understand mathematics and prepare for my exams. It is helpful for all levels and the explanations are clear and friendly.
:)
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I would unironcially recommend Tao's Analysis-1. The issue of pinning down numbers as a logically consistent concept is much more complicated than one may think it to be.
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Go to your library and get a copy of Everyday Mathematics Made Easy : A Quick Review of What You Forgot You Knew by Tom Begnal. It covers all the basics, starting with understanding numbers and then moving on to explain how to add, subtract, multiply, and divide fractions and decimals; how to determine averages; how to work with powers and roots, ratio; proportion, percentage, and interest.
The book is filled, cover to cover, with easy-to-understand step-by-step instructions. Each learning step is supported by examples that reinforce the procedure. Everything in the book is focused on making each task as easy to understand as possible. And, to put a cherry on top of everything, it has plenty of real world examples of math being put to practical use around the house. (Full disclosure; I'm the author of the book. Hope I'm not breaking any rules by posting this.)
