Making Advanced Mathematics Accessible: An Interview with Joseph W. Barnett
How does Joseph W. Barnett’s Math Perimeter make proof-based courses like Real Analysis and Abstract Algebra more accessible for diverse learners?
Joseph W. Barnett is the owner of The Math Perimeter LLC, a project dedicated to making advanced mathematics approachable for learners at every level. Living with a disability and fluent in the realities of STEM barriers, he designs resources that meet students where they are—through clear explanations, visual aids, and inclusive pedagogy. Barnett writes and produces content for undergraduates, teachers seeking fresh classroom tools, and the simply math-curious. From calculus refreshers to concept-driven guides, his goal is to demystify difficult topics and spark confidence. Based in Dallas, Texas, he builds community around math by turning intimidating ideas into practical understanding.
In this interview with Scott Douglas Jacobsen, Joseph W. Barnett, founder of The Math Perimeter LLC, discusses his mission to make advanced mathematics approachable for undergraduates, educators, and math enthusiasts. Barnett identifies proof-based courses such as Real Analysis and Abstract Algebra as particularly in need of clearer reinterpretation, emphasizing inclusivity in both pedagogy and design. Drawing on his lived experience with disability, he prioritizes accessibility through screen reader compatibility, alt text, and universal design principles. He stresses tailoring content to different learning styles and measuring success by becoming a trusted go-to resource for undergraduate mathematics education and beyond.
Scott Douglas Jacobsen: What “advanced” topics need accessible reinterpretation for undergrads?
Joseph W. Barnett: Topics like Real Analysis, Abstract Algebra, and other proof based math courses could benefit from a clearer and more accessible approach. Many undergraduates struggle with proof based math as prior to learning proofs math is mainly about calculations and any student can do well in these courses solely through memorization. In contrast proof based courses require a deeper understanding and problems generally require thought and problem solving ability.
Jacobsen: Is there a different approach for curious older adults?
Barnett: I think anyone can learn math regardless of age whether through self study or a formal education. Effective time management is necessary of course as older adults generally have other responsibilities and obligations.
Jacobsen: How does lived experience with disability shape design choices for lessons?
Barnett: I make sure all of my content is easy to read which includes using short paragraphs, alt text for media files, and ensure that my website is compatible with screen readers. In addition I also make sure my site is easy to navigate.
Jacobsen: When a student is stuck, what is your intervention?
Barnett: Try a different approach suited for the students learning style (see next answer).
Jacobsen: Which formats yield the strongest learning gains?
Barnett: It depends on a students learning style. Visual learners learn best through videos and infographics. Some learners prefer written content and some need to have lessons spoken to them, so video content is best.
Jacobsen: How do you know whether a piece of content is genuinely inclusive?
Barnett: I make sure each piece of content I produce adheres to the Web Content Accessibility Guidelines. When I was first building my site the WordPress plugin One-Click Accessibility rebranded and became Ally. It is now more than just an accessibility toolbar. It can now scan your content to make sure it is accessible. I highly recommend it to anyone wanting to build an accessible WordPress website.
Jacobsen: What makes a researcher an effective communicator?
Barnett: Strong oral and written communication as well as the ability to adapt there message to different target audiences.
Jacobsen: What outcomes will signal The Math Perimeter is succeeding?
Barnett: The Math Perimeter being one of the go to resource for undergraduate mathematics.
Jacobsen: Thank you for the opportunity and your time, Joseph.
Scott Douglas Jacobsen is the Lifestyle and Finance Writer and Editor for A Further Inquiry. He is the publisher of In-Sight Publishing (ISBN: 978-1-0692343) and Editor-in-Chief of In-Sight: Interviews (ISSN: 2369-6885). He writes for The Good Men Project, International Policy Digest (ISSN: 2332–9416), The Humanist (Print: ISSN 0018-7399; Online: ISSN 2163-3576), Basic Income Earth Network (UK Registered Charity 1177066), A Further Inquiry, and other media. He is a member in good standing of numerous media organizations.