1. Challenges in teaching mathematical reasoning and proof—Introduction

   • Christine Knipping

   Analyses Pages: 127 - 128

2. Interactions with diagrams and the making of reasoned conjectures in geometry

   • Patricio Herbst

   Analyses Pages: 129 - 139

3. Adult learners' criteria for explanations

   • David A. Reid
   • Rosemary Roberts

   Analyses Pages: 140 - 149

4. Schülerprobleme beim Lösen von geometrischen Beweisaufgaben —eine Interviewstudie—

   • Aiso Heinze

   Analyses Pages: 150 - 161

5. Students' performance in reasoning and proof in Taiwan and Germany: Results, paradoxes and open questions

   • Aiso Heinze
   • Ying-Hao Cheng
   • Kai-Lin Yang

   Analyses Pages: 162 - 171

6. From the principle of bijection to the isomorphism of structures: an analysis of some teaching paradigms in discrete mathematics

   • Christine Ebert
   • Gary Ebert
   • Mikhail Klin

   Analyses Pages: 172 - 183