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 is a means to provide both 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 assessments that track their progress and learning activities that move students toward those goals.

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.

Online teaching & learning

Courses have been taught online for quite a long time, and there is a lot of research and experience to draw on. As online teaching and learning become more common in mathematics, we have compiled practical strategies to help you plan and run your course.

See examples of online and hybrid mathematics courses:

Visit our page on teaching mathematics online for more ideas about building an effective online learning experience for your students.


Inclusive classrooms

Inclusive classrooms have an explicit and purposeful focus on aligning course content, norms, assessment, and instructional practices to provide equitable learning experiences opportunities for all students. By implementing inclusive teaching practices, faculty can create learning environments in which all students can learn at high levels. Find more information at our page on creating inclusive classrooms


Active learning

Active learning is a range of teaching strategies that engage students in mathematical investigation and communication.

A central goal of active learning is to shift the use of class time away from instructors transmitting information and toward students working to apply course concepts. Active Learning has been shown to improve student learning and a number of other outcomes, and helps build more equitable classrooms. MAA members can find additional 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) is a set of teaching methods that engage 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 another active learning approach uses 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 growth and success by providing both career and psychosocial support.

1-on-1 mentor relationship
1-on-1 mentor relationship
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 resources

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

The Instructional Practices Guide from the Mathematical Association of America is a valuable resource describing a range of effective instructional practices.

The College Mathematics Instructor Development Source (CoMInDS) is a resource for professional development for instructors, by 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.


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