Open-Ended Tasks in School Mathematics for Educators

Teaching mathematics effectively requires moving beyond rigid procedures to foster deep conceptual understanding. This course equips prospective and practicing educators with practical strategies to design and apply open-ended mathematical tasks in the classroom. You will learn how epistemological principles shape student inquiry and how non-routine problems cultivate flexible thinking. Through structured readings and written exercises, you will develop the confidence to transform traditional math instruction into engaging mathematical investigations. What you'll learn: Understand the epistemological principles behind open-ended mathematical problem solving; Analyze how open tasks foster critical thinking and mathematical reasoning; Design custom open-ended problems aligned with school curriculum standards; Facilitate inquiry-based discussions that guide students through exploratory modeling; Evaluate creative student solutions using structured assessment strategies. You will begin by exploring fundamental definitions, learning theories, and core mathematical concepts before progressing to practical task design and classroom implementation workflows. This course is ideal for prospective mathematics teachers, tutors, and educators seeking to enrich their instruction with open tasks, with no prior teaching experience required. Enhance your teaching repertoire and foster deeper mathematical inquiry in your students.