How do instructors guide students to discover mathematical content? Are current explanatory models of pedagogical practice suitable to capture pragmatic essentials of discovery-based instruction? We examined videographed data from the implementation of a natural user interface design for proportions, so as to determine one constructivist tutor's…

An investigation-based course on teaching strategies for in-service science and mathematics teachers has been developed. The purpose of this course was to learn how to teach science or mathematics from the constructivist perspective. The course development was based on constructivism, especially social constructivism. Major adjustments concerning…