Part I. The Relevance of the Past
1. Tools of the Intellect
3. An Ancient Tool Gives Rise to Modern Mathematics
4. The Ancients Perform Miracles with Numbers
Part II. The Spectacular Fusion of Calculation with Writing
5. Numeral Formations Come to Arithmetic
6. The Symmetry of Repetition
8. The Highest Mathematical Faculties
9. The Powder Keg of Arithmetic Education
Part III. Beautiful Dreams and Horrible Nightmares
10. Triumph of the Numerals
11. From the Frontier to the Classroom
12. Symbolic Illuminations