Teaching Resources

Help your students understand mathematics and access educational opportunities

imageWhat other information would you like to see here? Please contact me with any thoughts you have about how we can serve you.
—Abbe Herzig,
Director of Education


Learning mathematics is a critical gateway to many fields of study, careers, and other opportunities. To meet this challenge, teaching mathematics has become more complex than ever, as our community turns its attention more toward what we want our students to learn, rather than what we need to teach. Our burgeoning commitment to welcome all students into our classrooms with equitable and meaningful opportunities to learn mathematics, an ever-growing body of research about math teaching and learning, and new technologies are giving instructors new tools to provide all students with access to high-quality and meaningful education.

We compiled this list of resources to provide you with evidence-based and hands-on information to help you engage your students in successful learning experiences. Are there other topics or tools you'd like to see here? Let us know!

Classroom Practices & Environment

In addition to what you teach, the practices and environment of your classroom are critical to student learning, persistence, and engagement.

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.


Online Teaching & Learning

There are many resources to help you build an effective online learning experience for your students

Enroll in the free, self-paced course Interested in Teaching Online from the State University of New York.

You can also listen to this math professor describe his online course about multivariable calculus. Hybrid courses use a mix of online and face-to-face practices, as you can see in A Scalable Hybrid Introductory ODE Course.

Please also review the resources and join the conversation at our blog post about transitioning to online teaching during the COVID-19 crisis.


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.


An Inclusive Classroom

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.

Brown University's Sheridan Center for Teaching & Learning provides resources to help you build a more inclusive classroom, and to learn more about implicit bias, microaggressions, and stereotype threat.

EQUIP is a tool you can use to collect data about successes and barriers to equity and inclusivity in your classroom


Effective Mentoring

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

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.

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.


Teaching for a Growth Mindset

Teaching for a growth mindset influences student success. 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.

A student who believes that they don't have a "mathematical mind" is said to have a fixed mindset. Teachers can help students develop a growth mindset. YouCubed inspires math success for all students by using growth mindsets and innovative teaching.

Student Assessment

Student assessment cycle graphic

Assessment is an important part of student learning. You can find tools for formative and summative assessment that expose both students' mathematical knowledge and their reasoning, helping teachers

guide students towards improvement and monitoring their progress at the Mathematics Assessment Project, initiated by the Bill & Melinda Gates Foundation. The tools are relevant to any curriculum that seeks to deepen students' understanding of mathematical concepts and develop their ability to apply that knowledge to non-routine problems.

The Eberly Center at Carnegie-Mellon University presents the basic concepts you need to know to Assess Teaching and Learning and to become more systematic in your planning and implementation of sound assessment practices. Eberly also provides some information about assessing teaching and programs.

Experienced online faculty describe strategies to ensure the authenticity of student assessments, through the SUNY Center for Online Teaching Excellence.


Difficult Conversations

Issues of race, gender, disability status, and other controversial issues sometimes bubble to the surface in our classrooms.

Making Uncomfortable Conversations Productive can help our students and colleagues move forward wither greater understanding and inclusion.

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