Calculus for Team-Based Inquiry Learning PREVIEW Edition

The book is not written as a traditional textbook. Instead, it is an activity book designed for use in a classroom using the Team-Based Inquiry Learning (TBIL) pedgogy. TBIL is an active learning pedagogy combining the philosophy of inquiry-based learning with the structure of Team-Based Learning.

A TBIL course is broken down into modules, which correspond to the chapters of this book. Each module starts with a Readiness Assurance Process to check understanding of and and solidify prerequisite knowledge (from other courses or previous modules) that will be needed in the upcoming module. The beginning of each chapter provides a list of these Readiness Assurance outcomes, along with study resources and exercise students can use to refresh themselvse on this prerequisite knowledge. Readiness Assurance Tests that assess this knowledge are available as part of the TBIL Resource Libary. Join the TBIL community (see Community and Support) to gain access to these.

Within each module there is a varying amount of sections, one per learning outcome. Each section is designed to guide students into being able to demonstrate their understanding of that specific outcome. The learning outcome can be tested with a CheckIt Exercise, which are linked at the end of each section.

Within each section, students work in teams (typically during class) on the Class Activities, which are interpersed with definitions, theorems, remarks, examples, etc. as needed to guide the learning process. The activities start in an exploratory way then building the concepts on the results of this exploration. The concepts are then practiced with less scaffolding to build fluency. Finally, towards the end of the section we connect the concepts and extend them to new settings.

Each section/learning outcome is designed with an exercise, a specific set of tasks, that the students need to be able to solve to demonstrate their competency. Virtually limitless randomized versions of the exercise can be generated via CheckIt to build a problem bank and allow for reassessments.

An instructor version of this text is available at tbil.org. The instructor version includes answers for the activities, as well as additional facilitation notes for instructors interspersed through the book.

If you are adopting this text in your class, please fill out this short form so we can track usage, let you know about updates, etc.

Implementation of these materials is supported by a TBIL community of practice which offers both formal and informal professional devlopment opportunities. The best way to connect with us is on our online community chat.

These materials are a collaborative product of our TBIL community. Feedback and suggestions for improvements are most welcome, either through our GitHub Repository or our online community chat.