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 RenfroJan 14 at 14:57
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$\begingroup$ Duplicate of math.stackexchange.com/q/1963961 ? $\endgroup$– user131533Jan 15 at 7:40
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1$\begingroup$ Would you be interested in mathematics education textbooks intended for training teaching students to become mathematics educators? $\endgroup$– nick012000Jan 16 at 8:42
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$\begingroup$ @nick012000 Yes, anything works as long as it is detailed on the arithmetic concepts. $\endgroup$– Harshit RajputJan 16 at 9:07
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3 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.
