Key Resources for Peer Mentors Ten simple rules for developing a mentor– mentee expectations Improving the relationship between mentors and mentees. The authors highlight that while there is a general consensus on the importance of mentoring, there is a lack of concrete strategies to improve the relationship. To address this issue, the authors suggest creating “expectations documents” which detail the big picture of the mentor-mentee relationship as well as the lab-specific day-to-day rules. Guide to Best Practices in Faculty Mentoring - Guidelines set by Columbia University for Faculty Mentoring. Key Resources for Active Learning Pedagogy Academy of Inquiry Based Learning (AIBL) MAA OPEN Math: Workshops and professional development in lots of areas Communities for Mathematics Inquiry in Teaching (COMMIT) University of Minnesota Center for Educational Innovation: Active Learning & Teaching an Active Learning Classroom MAA SIGMAA on Inquiry Based learning MAA Instructional Practices Guide: Shares effective, evidence-based practices that mathematics instructors can use to facilitate meaningful learning for their students.

Key Resources for Large 4-year Institutions (multi-section environment; large class sizes) Active Learning Strategies for Large Group Instruction - Gives descriptions of research-based activities. Key Resources for Teacher Training College Mathematics Instructor Development Source (CoMInDs) - Resources, workshops, etc. Key Resources for Active Learning Pedagogy Academy of Inquiry Based Learning (AIBL) MAA OPEN Math: Workshops and professional development in lots of areas Communities for Mathematics Inquiry in Teaching (COMMIT) University of Minnesota Center for Educational Innovation: Active Learning & Teaching an Active Learning Classroom MAA SIGMAA on Inquiry Based learning MAA Instructional Practices Guide Key Resources for Hands-on Classroom Activities at the Post-secondary Level Art of Mathematics Resources: Lots of content course notes and other activities Classroom Assessment/Activities Techniques: Active Learning sample activities AIBL video on Think, Pair, Share Cult of Pedagogy video on the Jigsaw Method Cult of Pedagogy video on Chat Stations for Class Discussion

Key Resources for Department Graduate Students Careers Outside Academia | TPSE Math Key Resources for Alternative Grading Robert Talbert Video on Specifications Grading Rose Morris-Wright OLSUME lecture: Standards-based grading in a large linear algebra course (~400 students), approximately 1 hour video, links to slides and additional resources Key Resources for Learning Assistants to Support Group Work Learning Assistant Alliance: Info on setting up an LA program and how to use LAs to support active learning. They offer workshops and have an annual conference

Key Resources for Small Institutions MAA Resources - Communities to share ideas and ask questions for MAA members Key Resources for Teacher Training College Mathematics Instructor Development Source (CoMInDs) resources, workshops, etc. Academy of Inquiry Based Learning (AIBL) Key Resources for Hands-on Classroom Activities at the Post-secondary Level Art of Mathematics Resources: Lots of content course notes and other activities Classroom Assessment/Activities Techniques: Active Learning sample activities AIBL video on Think, Pair, Share Cult of Pedagogy video on the Jigsaw Method Cult of Pedagogy video on Chat Stations for Class Discussion Key Resources for Inquiry-based Learning Journal of Inquiry-Based Learning in Mathematics Discovering the Art of Mathematics Inquiry-Based course notes Key Resources for Alternative Grading Robert Talbert Video on Specifications Grading Rose Morris-Wright OLSUME Lecture: Standards-based grading in a large linear algebra course (~400 students), approximately 1 hour video, links to slides and additional resources TPSE Math Conversations on Alternative Assessment video series Key Resources for Active Learning Pedagogy Academy of Inquiry Based Learning (AIBL) MAA OPEN Math: Workshops and professional development in lots of areas Communities for Mathematics Inquiry in Teaching (COMMIT) University of Minnesota Center for Educational Innovation: Active Learning & Teaching an Active Learning Classroom MAA SIGMAA on Inquiry Based learning MAA Instructional Practices Guide

Key Resources for Internships The Ultimate Guide to Internships :Explores the value of internships, how they work, and how to find one. Georgia State University Internship webpage :An example of how to set up a university webpage for both students and employers. Describes the purpose of internships (including micro-internships). Student success stories are included.

Key Resources for Department Chairs COME-IN (Creating Opportunities in Mathematics Educations through Equity & Inclusion) IMPACT: Improving Mathematical Prowess and College Teaching - Guide to Teaching and making an Impact on mathematical PROWESS (Proficiency, Ownership, Engagement, and Student Success), Executive Summary & Full Document Tools for Teaching, Barbara Davis Key Resources for Alternative Grading Robert Talbert Video on Specifications Grading Rose Morris-Wright OLSUME Lecture: Standards-based grading in a large linear algebra course (~400 students), approximately 1 hour video, links to slides and additional resources Key Resources for Teacher Training College Mathematics Instructor Development Source (CoMInDs) :Resources, workshops, etc. Key Resources for Active Learning Pedagogy Academy of Inquiry Based Learning (AIBL) MAA OPEN Math: Workshops and professional development in many of areas Communities for Mathematics Inquiry in Teaching (COMMIT) University of Minnesota Center for Educational Innovation: Active Learning & Teaching Active Learning Classroom MAA SIGMAA on Inquiry Based learning MAA Instructional Practices Guide: Shares effective, evidence-based practices that mathematics instructors can use to facilitate meaningful learning for their students. Designed as a how-to guide focused on mathematics instruction at the undergraduate level and based on the concept that effective teaching is supported by three foundational types of practices: classroom practices, assessment practices, and design practices, each informed by empirical research. Moreover, the role of technology and the importance of equity are themes that cut across all that we do as instructors. Key Resources for Teacher Training College Mathematics Instructor Development Source (CoMInDs) Academy of Inquiry Based Learning (AIBL)

Key Resources for Large 4-year Institutions (multi-section environment; large class sizes) Active Learning Strategies for Large Group Instruction - Gives descriptions of research-based activities. Key Resources for Teacher-Prep About Teaching: Articles about teaching math to secondary school students, with a special emphasis on how to handle heterogeneous classes. Key Resources for Alternative Grading Robert Talbert Video on Specifications Grading Rose Morris-Wright OLSUME Lecture: Standards-based grading in a large linear algebra course (~400 students), approximately 1 hour video, links to slides and additional resources TPSE Math | Conversations about Alternative Assessments video series Key Resources for Hands-on Classroom Activities at the Post-secondary Level Art of Mathematics Resources: Lots of content course notes and other activities Classroom Assessment/Activities Techniques: Active Learning sample activities AIBL video on Think, Pair, Share Cult of Pedagogy video on the Jigsaw Method Cult of Pedagogy video on Chat Stations for Class Discussion Key Resources for Inquiry-Based Learning Journal of Inquiry-Based Learning in Mathematics Discovering the Art of Mathematics Inquiry-Based course notes Key Resources for Socratic-style Teaching Project SEED: Specific and concrete strategies on how to lead Socratic discussions of math content, originally developed in the 1960's for elementary school, but with broad applicability to any level. Key Resources for Active Learning Pedagogy Academy of Inquiry Based Learning (AIBL) MAA OPEN Math: Workshops and professional development in lots of areas Communities for Mathematics Inquiry in Teaching (COMMIT) University of Minnesota Center for Educational Innovation: Active Learning & Teaching an Active Learning Classroom MAA SIGMAA on Inquiry Based learning MAA Instructional Practices Guide General Resources IMPACT: Improving Mathematical Prowess and College Teaching - Guide to Teaching and making an Impact on mathematical PROWESS (Proficiency, Ownership, Engagement, and Student Success), Executive Summary & Full Document Tools for Teaching, Barbara Davis Key Resources for Alternative Grading Robert Talbert Video on Specifications Grading Rose Morris-Wright OLSUME Lecture: Standards-based grading in a large linear algebra course (~400 students), approximately 1 hour video, links to slides and additional resources TPSE Math Conversations on Alternative Assessment video series

Key Resources for 2-year Institutions (multi-section environment; large class sizes) Active Learning Strategies for Large Group Instruction: Descriptions of research-based activities. American Chemistry for Life: List of grants and funding for two year colleges: Department of ED STEM support: Includes briefings, reports, links to Govt. organizations, newsletters and more. Office of Career, Technical, and Adult Education STEM resources Resources for 2-year college faculty seeking NSF support: Key Resources for Small Institutions MAA Resources - Communities to share ideas and ask questions for MAA members Key Resources for Hands-on Classroom Activities at the Post-secondary Level Art of Mathematics Resources: Lots of content course notes and other activities Classroom Assessment/Activities Techniques: Active Learning sample activities AIBL video on Think, Pair, Share Cult of Pedagogy video on the Jigsaw Method Cult of Pedagogy video on Chat Stations for Class Discussion Key Resources for Inquiry-based Learning Journal of Inquiry-Based Learning in Mathematics Discovering the Art of Mathematics Inquiry-Based course notes Key Resources for Teacher-Prep About Teaching: Articles about teaching math to secondary school students, with a special emphasis on how to handle heterogeneous classes. About Teaching: Articles about teaching math to secondary school students, with a special emphasis on how to handle heterogeneous classes. Key Resources for Teacher Training College Mathematics Instructor Development Source (CoMInDs) resources, workshops, etc. Academy of Inquiry Based Learning (AIBL) General Resources IMPACT: Improving Mathematical Prowess and College Teaching - Guide to Teaching and making an Impact on mathematical PROWESS (Proficiency, Ownership, Engagement, and Student Success), Executive Summary & Full Document Tools for Teaching, Barbara Davis Key Resources for Alternative Grading Robert Talbert Video on Specifications Grading Rose Morris-Wright OLSUME Lecture: Standards-based grading in a large linear algebra course (~400 students), approximately 1 hour video, links to slides and additional resources TPSE Math Conversations on Alternative Assessment video series

Key Resources for New Faculty Universal Design for Learning: This resource provides a brief overview of Universal Design for Learning (UDL) for postsecondary settings, links to the UDL Guidelines and the National Center on UDL, videos discussing the retention in higher ed and the intersection of UDL and accessibility and a list of resources. Guided Pathways Resource Center: This resource center is organized around the guided pathways model. Click any section — planning, implementation, early outcomes, or evaluation — to see details of the model and to find relevant tools and resources. Or visit toolkits for collections of materials on key topics. Designing for Success: Research has identified a number of positive factors that help students successfully enter Science, Technology, Engineering, and Mathematics (STEM) fields and persist in educational and professional pathways to full blown STEM careers. Faculty can design for student success by designing programs that adapt and adopt practices that cultivate these positive factors in program environments and curricula. This article highlights 17 positive factors, offers examples of intentional and successful implementation of these factors in current and past programs, and provides references for further reading. Key Resources for Active Learning Pedagogy Academy of Inquiry Based Learning (AIBL) MAA OPEN Math: Workshops and professional development in lots of areas Communities for Mathematics Inquiry in Teaching (COMMIT): Links to regional networks, most of which contain lots of resources University of Minnesota Center for Educational Innovation: Active Learning & Teaching an Active Learning Classroom MAA SIGMAA on Inquiry Based learning MAA Instructional Practices Guide: The MAA Instructional Practices Guide aims to share effective, evidence-based practices that mathematics instructors can use to facilitate meaningful learning for their students. Key Resources to Read IMPACT: Improving Mathematical Prowess and College Teaching - Guide to Teaching and making an Impact on mathematical PROWESS (Proficiency, Ownership, Engagement, and Student Success), Executive Summary & Full Document Tools for Teaching, Barbara Davis Categories that Relate to Teaching Strategies and Practices College Mathematics Instructor Development Source (CoMInDs Academy of Inquiry Based Learning (AIBL) Key Resources for Hands-on Classroom Activities at the Post-secondary Level Art of Mathematics Resources: Lots of content course notes and other activities Classroom Assessment/Activities Techniques: Active Learning sample activities AIBL video on Think, Pair, Share Cult of Pedagogy video on the Jigsaw Method Cult of Pedagogy video on Chat Stations for Class Discussion

Key Resources for Liberal Arts (non-math majors; general education course) Introduction to Abstract Algebra: This is a playful set of lessons about specific finite groups, to show the power and beauty of mathematical structure. Symmetry: A visual complement to the above.

Key Resources for Linear Algebra Megan Wawro's OLSUME lecture Inquiry-oriented linear algebra (IOLA) site Rekha Thomas's OLSUME lecture Philipp Hieronymi's OLSUME lecture Marie MacDonald's OLSUME lecture Classroom voting questions

Key Resources for Calculus Gianluca Guadagni's OLSUME Lecture: Highlights a department’s efforts to create multiple paths for students through math requirements based on math background. The good, the bad, and the ugly are discussed including outcomes related to new math courses for non-majors with a DEI focus. Martina Bode's OLSUME Lecture: Integrating active learning into Precalculus and Calculus courses, challenges on access, equity and inclusion as well as challenges moving instruction to remote and online instruction. The speaker tries to answer the following questions. What does active learning look like post pandemic? What was the impact of the pandemic on student success? What did we learn? And where do we go from here? Phil Gressman's OLSUME Lecture: Shares experiences teaching single variable integral calculus in the pre-pandemic era, during the pandemic (the course evolved into an online), and now when in-person instruction has resumed. In this new format, several practical and technological issues were among the unsolved challenges. Active Calculus: https://activecalculus.org/ A series of freely-available, widely-adopted textbook materials that include daily activities for use in Precalc through three semesters of calculus. The authors also support a users Google group that instructors can join for support. Currently homework is available through Edfinity (under $30) or Webwork (free, but . . .) but plans are underway to provide lower cost access probably through Runestone. At MathFest 2023, there is a minicourse ($) available for potential or new adoptees. Inquiry Oriented Differential Equations (Calculus-adjacent) https://iode.sdsu.edu/ What is Inquiry-Oriented Differential Equations? It is a first course in differential equations focused on understanding of the big ideas in first order, second order, nonlinear, and systems of differential equations. The course is designed as a full semester course and topics covered include solving ODEs; numerical, analytic and graphical solution methods; solutions and spaces of solutions; linear systems; linearization; qualitative analysis of both ODEs and linear systems of ODEs; structures of solution spaces.

Key Resources for Teacher-Prep About Teaching: Articles about teaching math to secondary school students, with a special emphasis on how to handle heterogeneous classes.

Key Resources for Statistical Science Curriculum Guidelines for Undergraduate Programs in Statistical Science (amstat.org) ASA general information on curriculum guides for beginning statistical sciences courses. Annual conference on teaching statistics (eCOTS, ICOTS, USCOTS): Sessions on many aspects of teaching statistics, including active learning.

Introduction to Abstract Algebra: This is a playful set of lessons about specific finite groups, to show the power and beauty of mathematical structure.

Seeking Depth in Algebra 2 :These materials use a guided discovery approach to quadratics, sequences and series, exponential functions, logarithms, and so on. Precalculus: These materials overlap with the above, but also include links to more advanced non-calculus topics, such as the geometry of the conic sections, a parallel axes representation of functions, and non-standard proofs of the quadratic formula.

Key resources for remote and/or hybrid learning Maria Andersen's OLSUME lecture Turning You Remote Mathematics Teaching: Tips and pedagogical techniques for improving your remote teaching skills and conducting active learning in remote sessions with students.

Key resources for text and video materials to facilitate flipped classrooms A Homework System to Flip almost any Class (video presentation by Justin Dunmyre) Tools for Teaching, Barbara Davis

Key resources for DEI in Active Learning Implementing inclusive practices in an active learning STEM classroom MAA Instructional Practices Guide Academy of Inquiry Based Learning (AIBL): books by and online resources for info on diverse mathematicians Tools for Teaching, Barbara Davis

Key resources for assessment strategies Aspire: The National Alliance for Inclusive & Diverse Stem Faculty (Aspire - IChange Network (aspirealliance.org)) Contains a self-assessment guidebook to create an instructional action plan for change Framework for Assessing Teaching Effectiveness (FATE) Evaluation and Assessment (of programs) Classroom Assessment/Activities Techniques (Active Learning sample activities) https://cei.umn.edu/teaching-resources/active-learning MAA Instructional Practices Guide Tools for Teaching, Barbara Davis

Key Resources for the Creation of Supplementary Videos Editing and Annotating Video - includes potential uses of videos in the classroom, pros and cons, and various tools that can be used to create videos Five Step Guide to making your own instructional videos - includes links to research on instructional videos, templates, tips and sample videos

Key resources for text and video materials to facilitate flipped classrooms A Homework System to Flip almost any Class (video presentation by Justin Dunmyre)

Key resources for Creating Mathematical Illustrations How to make beautiful and accurate mathematical illustrations: 5 ways - describes five different ways of making illustrations: Analog, Postscript, TikZ, Keynote, and Rhino. Tools for Teaching, Barbara Davis

General Resources IMPACT: Improving Mathematical Prowess and College Teaching - Guide to Teaching and making an Impact on mathematical PROWESS (Proficiency, Ownership, Engagement, and Student Success), Executive Summary & Full Document Tools for Teaching, Barbara Davis