1. Rethinking number sense -- 2. How to teach math this way -- 3. Place-value awareness launch points -- 4. Place-value awareness checkpoints -- 5. Addition/subtraction fluency launch points -- 6. Addition/subtraction fluency checkpoints -- 7. Place-value fluency and multidigit addition/subtraction launch points -- 8. Place-value fluency and multidigit addition/subtraction checkpoints -- Appendix A. Research-based teaching-learning paths -- Appendix B. Assessment templates (Use for individual child, tracking progress over time) -- Appendix C. Assessment templates (Use for whole class, tracking outcomes of a particular lesson or activity).