One overarching goal should be that students become autonomous and self-motivated in their learning. Constructivist views emphasize understanding and building on students' thinking. This idea implies that as teachers we need to learn from other teachers and researchers, and study our own students, to better understand how children think. Instead, we need to study how children think about the particular mathematical topics we teach, and we need to work to understand our students' thinking at a level deeper than everyday communication. Both teachers and students become more responsible for learning.
People create and recreate mathematics.
Constructivism emphasizes active, living systems, not passive empirical data. Constructing Constructivism Our decisions about teaching and learning should emerge from a solid understanding of educational philosophy. Constructivism is a philosophy of learning, not a methodology of teaching. By repudiating myths and understanding its unique elements, we can use constructivism to transform and improve our teaching. References Clements, Douglas H., and Michael T. Battista.