The idea of elementary school students working together on mathematical tasks is not new, but recent attention to creating purposeful discourse in mathematics classrooms prompts teachers to revisit discourse-promoting strategies for mathematics lessons. The Common Core's Standards for Mathematical Practice (CCSSI 2010) encourage teachers to…

The ability to reason with formal logic is a foundational skill for computer scientists and computer engineers that scaffolds the abilities to design, debug, and optimize. By interviewing students about their understanding of propositional logic and their ability to translate from English specifications to Boolean expressions, we characterized…

Research on conceptual change assumes that students enter a science classroom with prior(mis-)conceptions. When being exposed to instruction, students are supposed to develop or change their conceptions to (more) scientific concepts. As a consequence, instruction typically concentrates on appropriate examples demonstrating that students'…

Explains the differences between successful and unsuccessful problem solvers' exploration of a problem, translation of information into different forms, approach to devising and executing a plan, and rechecking work. (RT)