Preparing the foundation: 1. What is visible thinking? -- How do students learn mathematics? -- 3. What is happening to thinking in mathematics classrooms? -- Part 2. Promoting visible thinking with an alternative instructional model: 4. How do effective classrooms depend on visible thinking? -- 5. How are long-term changes made? -- 6. How are short-term changes mades? -- 7. How are lessons designed to achieve short-term and long-term changes? -- Part 3. Implementing the alternative model at different grade levels: 8. How is thinking made visible in grades K-2 mathematics? -- 9. How is thinking made visible in grades 3-5 mathematics? -- 10. How is thinking made visible in grades 6-8 mathematics? -- Part 4. Continuing the work: 11. How do teachers, leaders, and administrators coordinate their efforts to improve mathematics teaching and learning?.