1. Forms of Mathematical Knowledge: Learning and Teaching with Understanding

   • Dina Tirosh

   OriginalPaper Pages: 1 - 9

2. Intuitions and Schemata in Mathematical Reasoning

   • Efraim Fischbein†

   OriginalPaper Pages: 11 - 50

3. Intuitive rules: A way to explain and predict students' reasoning

   • Dina Tirosh
   • Ruth Stavy

   OriginalPaper Pages: 51 - 66

4. Forms of Knowledge in Mathematics and Mathematics Education: Philosophical and Rhetorical Perspectives

   • Paul Ernest

   OriginalPaper Pages: 67 - 83

5. Why Johnny Can't Prove

   • Tommy Dreyfus

   OriginalPaper Pages: 85 - 109

6. Knowledge construction and diverging thinking in elementary & advanced mathematics

   • Eddie Gray
   • Marcia Pinto
   • David Tall

   OriginalPaper Pages: 111 - 133

7. Beyond mere knowledge of mathematics: The importance of knowing-to act in the moment

   • John Mason
   • Mary Spence

   OriginalPaper Pages: 135 - 161

8. Conceptualizing Teachers' Ways of Knowing

   • Thomas J. Cooney

   OriginalPaper Pages: 163 - 187

9. Forms of Knowing Mathematics: What Preservice Teachers Should Learn

   • Anna Graeber

   OriginalPaper Pages: 189 - 208

10. The Transition from Comparison of Finite to the Comparison of Infinite Sets: Teaching Prospective Teachers

    • Pessia Tsamir

    OriginalPaper Pages: 209 - 234

11. Integrating academic and practical knowledge in a teacher leaders' development program

    • Ruhama Even

    OriginalPaper Pages: 235 - 252