**Curricula, textbooks, and activities (by course)**

*Active Calculus* textbook series (3-semester sequence, free PDF)

*Calculus in context* textbook series (2-semester sequence, free PDF)

*Calculus *(1-semester text from the "Discovering the Art of Mathematics" project, a really interesting approach, PDF)

Active learning materials for calculus (misc. activities and "tactivities" from the Boulder/Omaha Active Learning Alliance)

*Combinatorics through guided discovery *textbook (complete textbook, free PDF)

*Intro to proof via IBL* (complete text for an intro to proof course, e.g., M307)

*Number theory through inquiry* (complete textbook, PDF)

*Number theory *(complete textbook from the "Discovering the Art of Mathematics" project, PDF)

*Inquiry oriented linear algebra* (complete curriculum for a first course in linear algebra)

*An inquiry-based approach to abstract algebra* (complete textbook, PDF)

*Teaching abstract algebra for understanding* (a complete active learning course in Abstract Algebra)

Differential equations - Chris Rasmussen:

*Chris Rasmussen and colleagues have developed and studied active-learning approaches to differential equations for the past 15 years. I don't know that there is a curriculum online, but there are a lot of papers that describe the approach and some activity sequences:*

Contemporary mathematics/Math for liberal arts: Discovering the art of mathematics series (11 books with interesting mathematical topics, e.g., art, dance, knots, infinity. Plus, an extensive website with other resources)

*Closer and closer* (first course in real analysis. The link takes you to the instructor's guide. The textbook isn't available for free)

**Questioning and classroom voting**

**Resources for classroom voting (e.g., clickers) in mathematics.**

### Free classroom voting systems

- Plickers (students hold up cards, teacher scans the room with a cell phone to collect votes. Up too 100 votes at a time)

__To use LaTeX with Plickers, use these steps from Gerald:__
- Poll everywhere (students respond via cell phone or internet device—app, web, or text. Free plan is limited to 40 responses per poll)

- Webclicker.org (free, web-based. Students respond via Internet device)
- Socrative (web- or app-based. Up to 50 responses per poll for the free version)
- "Analog" clickers: colored paper

**Flipped classroom**

Places to find videos:

- Video lecture archive: hundreds of courses, arranged by topic
- MIT OpenCourseWare: Free, complete courses in every class you can imagine. Mostly, these are videotaped lecture sessions of course meetings at MIT. The lectures are complete, course-length lectures.
- PartickJMT.com: "Just Math Tutorials" - short videos (3-10 min) on a wide variety of topics from algebra to differential equations
- Khan academy: Like PatrickJMT, short videos on a wide variety of topics, from kindergarten through introductory diff eqs.
- Learnerstv.com: Videos arranged by course. Combination of short, topic-length videos (like Khan Academy and Patrick JMT) and course-length lectures.

**Journals**

Journal of inquiry-based learning in mathematics (refereed course notes for IBL in a myriad of courses included calculus, analysis, topology, linear algebra, abstract algebra...)

PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies (peer-reviewed practitioner-focused journal, whose mission is to serve as a forum for "exchanging ideas about teaching collegiate mathematics." Many of the articles document teaching sequences.)