Why your math class might be hiding the truth about discovery
In short: Most university courses are designed to show you what is already known, providing a structured tour of finished ideas. But this leaves students with a common misconception: that everything worth knowing has already been discovered. To see math as a living field, you have to experience its mystery.
Project Laboratory in Mathematics at MIT, taught by instructors including Haynes Miller and Susan Ruff, flips the traditional academic model on its head. While standard courses aim for efficiency in covering established content, this laboratory is designed to be non-traditional and highly participatory. Instead of mastering a set syllabus—which notably does not exist for this course—students are thrust into the 'mystery, frustration, and thrill' of active discovery. The Spring 2013 iteration featured a team of four instructors. They collaborated to develop the pedagogical framework for this unique laboratory.
Working in teams, undergraduate students tackle three open-ended projects where they must generate data, identify regularities, and attempt to construct mathematical explanations for their findings. The learning goals are entirely experiential rather than content-based. This means there is no predefined list of facts to memorize; instead, the focus is on the process of research, culminating in professional-style papers and presentations that mirror how actual mathematicians share their work. Participants must navigate complex and puzzling situations together. This collaborative effort ensures that students learn to communicate their findings effectively.
The course serves a diverse demographic, ranging from aspiring professional mathematicians to students entering unrelated careers. For many, it provides a rare opportunity to see mathematics as an evolving field where they can actually contribute. Because the primary goal is to provide a 'taste of research,' the MIT OpenCourseWare site for this project is specifically curated for educators who want to replicate these research-type experiences in high school, undergraduate, or even teacher education programs. The online resources provide detailed commentary on various successful and unsuccessful policies used during the term. These insights help other teachers understand the specific decisions made by the lead instructors.
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Sources
- Summary by Intellect · source: Project Laboratory in Mathematics: A Taste of Research
- Also: Introduction | Project Laboratory in Mathematics | Mathematics | MIT OpenCourseWare
- Also: Project Laboratory in Mathematics | MIT Learn
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