Teaching Resources

Help your students understand mathematics and access educational opportunities

What 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

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 turns its attention toward evidence-based practices to ensure that all our students have high-quality, equitable and meaningful opportunities to learn mathematics.

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!

The fundamentals

In addition to what you teach, the practices and environment of your classroom are critical to student learning, persistence, and engagement. The resources in this section provide a wealth of detail about evidence-based practices.    

The Instructional Practices Guide from the Mathematical Association of America is a valuable resource describing a range of effective instructional practices, and is a great place to start.

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.

From here, the sections below provide more detail in several key areas of teaching mathematics in ways that provide all students with opportunities to learn mathematics equitably and with understanding.


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 for in-depth training on many aspects of online teaching environments and how to connect with your students in meaningful ways. While this course is not specific to mathematics, it provides many essential tools.

Visit our page on Teaching mathematics online for ideas and resources about designing online courses, creating student activities, and assessing students online.

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 this Scalable Hybrid Introductory ODE Course.


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.


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.   

Brown University's Sheridan Center for Teaching & Learning provides practical and evidence-based resources to help you build a more inclusive classroom, and to learn more about implicit bias, microaggressions, and stereotype threat, all of which are obstacles to inclusive classrooms.

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

Issues of race, gender, disability status, and other controversial issues sometimes bubble to the surface in our classrooms, sometimes through microagressions and implicit bias, and sometimes more explicitly. Making Uncomfortable Conversations Productive can help us work with our students and colleagues to move forward wither greater understanding and inclusion.


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  

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 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 providing strategies for innovative teaching that can help students develop a growth mindset.

Re-thinking assessment

Student assessment cycle graphic


Assessment is an important part of student learning. Evidence-based tools for formative and summative assessment can help you better understand students' mathematical knowledge and reasoning and help you monitor student progress and guide them to further learning.

The Mathematics Assessment Project, initiated by the Bill & Melinda Gates Foundation, provides classroom-tested tools 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.

You can also learn more of what you need to know to develop sound assessment practices using guidance from The Eberly Center at Carnegie-Mellon University's Assess Teaching and Learning, resource, which also provides information about assessing teaching and programs.

Faculty with experience teaching online describe strategies to ensure the authenticity of student assessments, through Open SUNY Online Teaching.

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