The Synergism of Mathematical Thinking and Computational Thinking

Abstract

This chapter analyzes the nature of Computational Thinking (CT) and demonstrates the synergistic relationship between CT and Mathematical Thinking (MT). It cites commonly used definitions of CT and MT and discusses shared problem-solving techniques. The chapter discusses the roles mathematics plays in CT, including how specific mathematical topics interact with specific computing topics, and how mathematical reasoning complements computational reasoning. It explores some principles and practices of CT and performs an analysis of these principles and practices couched in their synergistic relationships to MT. The chapter also discusses a theory of learning for both MT and CT, the application of which suggests directions for pedagogy to enhance the learning of MT and CT concepts.