Moving forward in international mathematics education research

This final chapter revisits some of the key issues addressed by the authors and explores a selectionof the many research issues that need attention in the advancement of our discipline.Specifi cally, we give consideration to the following questions:1. What role can research play in illuminating the multidisciplinary debates on the powerfulmathematical ideas required for the 21st century?2. How can research support more equitable curriculum and learning access to powerfulmathematical ideas?3. How can research support the creation of learning environments that give learners betterand more equitable access to powerful mathematical ideas?4. How can research contribute to the kind of teacher education and teacher developmentprograms that will be needed to facilitate student access to powerful mathematicalideas?5. How can we assess the extent to which students have gained access to powerful mathematicalideas, and their abilities to make effective use of these ideas? How can researchinform such assessment?6. What are some of the latest research designs in mathematics education? How do we assessand improve research designs in mathematics education?7. What is the nature of semiotic mediation and what is its role in mathematics education?