Think, Solve, Win: the Open Middle Game

This paper introduces an educational game designed to foster critical thinking, problem-solving, and collaborative learning through mathematics. Inspired by the Open Middle Math Problems Framework, the game offers an engaging way to challenge students' mathematical thinking by moving beyond routine exercises into a collaborative and competitive game environment. Players, organized in teams, engage with a variety of mathematical challenges that demand strategic thinking, precise execution, and time management. Open Middle Problems are characterized by having fixed start and end points – all students start with the same initial problem and there is typically one correct or optimal answer. However, they allow for diverse solution strategies and approaches along the way. This "open middle" encourages students to explore multiple pathways, develop mathematical reasoning, and communicate their thought processes, making it a powerful tool for cultivating a deeper understanding of mathematical concepts. Beyond enhancing student engagement in mathematics, the game is a valuable resource for educators seeking to make mathematics instruction more interactive and impactful. By transforming traditional problem-solving tasks into playful competitions, the game bridges the gap between academic rigor and entertainment. It encourages students to persist through complex problems, reflect on their strategies, and develop confidence in their mathematical abilities.