If You Can't Beat It, Join It! Teaching and Learning Mathematics with ChatGPT and Key Prompts to Stimulate Self-Learning

In this study, we examine mathematics students' use of ChatGPT and address issues related to AI-generated errors and editing of prompts containing formulas. We're introducing Chat-Mat™, an integrated suite of tools designed to enhance the learning experience. This set of tools includes a math Prompts Editor, an Algebraic Calculator, a Graph Plotter, and sets of themed Key Prompts. Our approach allows students to effectively communicate with ChatGPT, check its answers, and use advanced mathematical tools for deeper exploration. By providing detailed instructions for quick editing and selecting Key Prompts, we support a variety of learning objectives, including problem solving, understanding mathematical concepts, and engagement with the broader historical and practical context of mathematics. By providing students with suggested prompts, we develop the ability to construct their own questions while also enriching their learning experience with additional contextual information. To assess the impact of Chat-Mat™ on learning outcomes, we conducted a survey among students. The results indicate a positive correlation between the use of our artificial intelligence tools and student exam performance, suggesting that Chat-Mat™ significantly improves the effectiveness of self-paced math learning. Keywords: ChatGPT, prompts, mathematics, self-learning, algebraic calculator