Thankfully, Dr. DeMille gives us some idea of where to start. I have read many of these, some were easier than others, but all were insightful after carefully making my way through them.
Math Classics from TJED for Teens
- Flatland by Edmund Abbot
- On Numbers by Isaac Asimov
- Introduction to Mathematics by Whitehead
- Arithmetic by Nichomachus
- Poetry and Mathematics by Buchanan
- Elementus by Euclid
Additional Math Classics
We own "The Great Books of the Western World" set. The Syntopicon in volumes 1 and 2 contain subjects covered in these books. Within volume 3 under "Mathematics" there is a fantastic explanation about the differences between truths proved or discovered about mathematics and quantity; or the study of arithmetic, geometry and other branches of mathematics. After the explanation of what mathematics IS, there is an outline of topics and pages of references based on the outline. One could get a complete education about mathematics, both from the standpoint of the science of mathematics as well as quantity (how much), from studying the references listed in this book.
I am just beginning this study myself, but for someone who wants to truly understand everything about mathematics, this is the way to go!
Math Curriculum
We have used purchased math curriculum. I had purchased Math-U-See through Geometry before knowing about Math classics and how we could utilize them. My children do use Math-U-See and sometimes Khan Academy for math help. Another curriculum that I have heard good things about is Aleks, but we have not used it because I already have Math-U-See.
Math Curriculum
We have used purchased math curriculum. I had purchased Math-U-See through Geometry before knowing about Math classics and how we could utilize them. My children do use Math-U-See and sometimes Khan Academy for math help. Another curriculum that I have heard good things about is Aleks, but we have not used it because I already have Math-U-See.

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