Daftar Isi:1. Reflections on proof as explanation 2. Working on proofs as contributing to conceptualization - the case of IR completeness 3. Types of epistemological justifications with particular reference to complex numbers 4. Mathematical argumentation in elementary teacher education thye key role of the cultural analysis of the content 5. Toward an envolving theory of mathematical practice informing pedagogy what standards for this research paradigm should we adopt 6. Constructing and validating the solution to a mathematical problem the teacher s prompt 7. Addressing key and persistent problems of students learning the case of proof 8. How can a teacher support students in constructing a proof 9. Proof validation and modification by example generation a classroom-based intervention in secondary school geometry 10. Classroom-based issues related to proofs and proving 11. Mathematical argumentation in pupils written dialogues 12. The need for linearity of deductive logic an examination of expert and novice proving processes 13. Reasoning-and-proving in algebra in school mathematics textbooks in Hong Kong 14. Irish teachers perceptions of reasoning-and-proving amidst a national educational reform 15. About the teaching and learning of proof and proving cognitive issues curricular issues and beyond 16. How do pre-service teachers rate the conviction verification and explanatory power of different kinds of proofs 17. When is a generic argument a proof 18. Systematic exploration of examples and proof analysis with four theoretical frameworks 19. Using examples of unsuccessful arguments to facilitate students reflection on their processes of proving 20. Genericity conviction and convections examples that prove and examples that don t prove