In the 1980s, the calculus reform movement brought forward some exciting ideas to improve how we teach those courses. These recommendations focused on using technology, solving real-world problems, and helping students communicate mathematical ideas clearly—both in writing and through discussion. The movement also introduced the "rule of three," encouraging students to approach key concepts graphically, numerically, and algebraically. Topics were carefully selected to connect with a variety of disciplines, and the emphasis shifted away from memorizing formulas and mimicking procedures. Furthermore, clear and simple language was preferred over complex mathematical jargon.
While many educators enthusiastically adopted these changes, others worried that such reforms might compromise mathematical rigor. Are epsilon-delta limit problems still studied? Are students expected to understand and replicate proofs of major theorems? Are traditional applications like fluid pressure and centers of mass emphasized? How should rigorous traditional topics be studied now and into the future?
\Today, as fields like data science and mathematical biology continue to expand, it might be a good time to revisit and update these ideas. With modern technology, including artificial intelligence, reshaping mathematics, some traditional topics may no longer be as central. For example, are concepts like Simpson’s Rule, integral tables, and graphing conic sections still as relevant as they once were? Could we spend less time on practicing integration techniques and more on deepening conceptual understanding and developing meaningful, real-world applications?
Of course, adapting curricula takes time, especially in two-year colleges, where it’s essential to ensure smooth credit transfer for students. Any attempts to change these courses will require significant coordination with our cohorts at the university level.
The AMATYC network is a passionate group of professionals dedicated to tackling these challenges. Help us address these concerns and more. Together, we’re committed to evolving calculus education to better meet the needs of our students and the communities they’ll serve.