Teaching Resources

Help your students understand mathematics and access educational opportunities

Used with permission of Frank Mariani
Used with permission of Frank Mariani

Learning mathematics is a critical gateway to many fields of study, careers, and other opportunities. Teaching mathematics has become more complex than ever, as our community moves beyond what is taught to the practices and environment of classrooms that are critical to student learning, persistence, and engagement.

The resources here provide you with evidence-based and hands-on information to help you engage your students in successful learning experiences to ensure that all students have high-quality, equitable and meaningful opportunities to learn mathematics.

Learning and assessment

Assessment provides instructors and students a window into students' learning and growth.

By articulating clear goals for the facts, skills, knowledge, and concepts students are expected to master, an instructor can design learning activities that move students toward those goals and assessments that track their progress.

Learning goals

In goals-based assessment, learning, assessment, and reflection are intertwined as learning activities are driven by goals, and assessment provide opportunities to reflect on learning and re-direct learning activities.

Visit our assessing student learning page for more discussion about defining learning goals and developing tools for assessing student learning and activities to support that learning.

Inclusive classrooms

Inclusive classrooms have an intentional focus on providing equitable learning experiences for all students.

Inclusive teaching practices align course content, norms, assessment, and instructional practices to create learning environments in which all students can learn at high levels.

Learn more at our page on creating inclusive classrooms.

Online teaching & learning

Instructors can create effective online courses by drawing upon decades of research and practice in online education.

Effective online teaching is built around course activities specifically designed for the online learning environment. It requires particular attention to creating a personal presence for instructors and students, and has unique challenges for engaging students.

Visit our page on teaching mathematics online for practical strategies from experts in online education to help you build an effective online learning experience for your students.

Active learning

Active learning improves student learning and a number of other outcomes, and helps build more equitable classrooms.

Active learning engages students in mathematical investigation and communication.A central goal of active learning is to shift class time away from the transmission of information and toward students actively applying course concepts.

MAA members can find Active Learning resources at the MAA Connect Active Learning Exchange. If you are not a member of MAA, you can access this Community by creating a free profile.

Inquiry-based learning (IBL) engages students with open-ended tasks that require them to reason mathematically. You can learn about IBL at the Academy of Inquiry-Based Learning, the IBL Communities Network and Mathematics Learning by Inquiry.

Team-based learning is an active learning approach using activities, assessment techniques, and social processes to foster team development and accountability.

Effective mentoring

Effective mentoring is built around a web of sustained interpersonal relationships to support mentees' professional and mathematical growth.

1-on-1 mentor relationship

Students who receive effective mentoring are more likely to complete degrees, enter graduate school, become integrated into their academic programs, and publish. These outcomes are even more pronounced for women and members of underrepresented minority groups. Based on an extensive review and synthesis of research, The National Academies of Sciences, Engineering, & Medicine have developed the online interactive guide The Science of Effective Mentorship in STEMM, which includes evidence-based recommendations and strategies.

Other teaching resources

YouCubed inspires math success for all students by providing strategies for innovative teaching that can help students develop a growth mindset—the belief that their intelligence can grow. Students with a growth mindset tend to be more persistent with difficult problems and concepts, and tend to have better mathematics achievement. A student with a fixed mindset is one who believes that they don't have a "mathematical mind" and that their ability to learn mathematics is unchangeable.

The Instructional Practices Guide from the Mathematical Association of America describes a range of effective instructional practices.

The College Mathematics Instructor Development Source (CoMInDS) is a resource for professional development of instructors, providing improved access to resources for college mathematics instructor development and creating durable versions of the existing informal networks.

College Math Video Cases provide real-world examples of mathematics teaching. The videos and accompanying facilitator guides give insight into student thinking and can help form your strategies for engaging students.