** Project Summary**
The purpose of Flipping Calculus is to transform the teaching and
learning of Calculus by inverting traditional instruction and
incorporating pedagogical practices that are steeped in our
understanding of how students learn most effectively. Flipping a course
describes an instructional approach in which the delivery of a majority
of the content is moved outside of class, via online videos, lecture
notes, and readings, while "homework", such as problem sets, labs, and
applications, often completed in small groups, is shifted into the
classroom. In a flipped course, students have the ability to access
prerecorded presentations and problem solutions before class on an array
of mobile devices and can pause, rewind, and fast-forward these videos
so they have more control over their own learning.More importantly, as
there is little time spent lecturing, instructors in flipped courses are
free to devote class time to supporting small groups of students who are
engaged in collaborative discussion and problem solving.

The primary objectives of *Flipping
Calculus* are to:

1.
Create
a complete library of brief engaging videotaped lessons or screencasts
of key concepts and worked solutions to problems for our Calculus I
course. Expected outcomes
are that students will better understand key calculus concepts and
skills as they have the ability to view, and review, course videotapes
on demand.

2.
Develop,
adapt and refine meaningful guided problem sets and discussion questions
to be completed by students working in small groups during class
meetings. Expected outcomes are that students will be more adept at
applying their knowledge of calculus as a result of more time spent
working collaboratively in class under the guidance of a faculty member.

3.
Develop,
adapt, and refine short assessments to evaluate students' understanding
of out-of-class readings and videotaped presentations. These assessments
will allow us to gauge the extent to which students are making sense of
content they view outside of class.

4.
Flip
half of the sections of Calculus I during fall 2012 which would involve
the participation of approximately 120 students.

5.
Conduct
an exploratory study of instructor and student perceptions of the
flipped Calculus course, as well as student outcomes in the flipped vs.
traditional sections of Calculus I. The data generated will be useful as
we continue to refine our model of flipping Calculus in subsequent
semesters.

6.
Create
a website for flipping calculus on which we will post our videos, course
materials and reflections on lessons learned. By sharing our work
publicly we can share our model of flipping and begin to form a network
of mathematics faculty interested in transforming their instruction.

**Intellectual Merit:**
The proposed project activities are based on research on how students
learn and are designed to actively engage students in Calculus so they
are able to understand, remember and apply the skills and concepts they
learn. This project builds on the past and current innovations of the
PIs and the entire mathematics department at the University of Hartford.

**Broader Impact:**
This project will involve at least six mathematics faculty members and
could directly impact more than 200 students during the first year of
the project and upwards of 300 students in year two. We will extend the
impact of this project by presenting at regional and national
conferences, sharing the videotapes and problem sets, labs and
discussion questions on a website dedicated to flipping calculus, and
publishing articles in mathematics education journals.

__Project Description__

The purpose of the proposed
project, *Flipping Calculus*,
is to implement flipping pedagogy in Calculus I and conduct an
exploratory study of its effectiveness. In particular, we will create a
set of curriculum materials designed specifically for the flipped
Calculus classroom and implement flipping pedagogy in half of our
sections of Calculus I. The curriculum materials will include (1) *concept
videos* or screencasts that provide an out-of-class introduction to
new material with, when possible, embedded reasons to know the content,
(2) g*uided problem sets and good
questions* to engage students in learning mathematics with peer and
instructor support in class, and (3) *assessments *including quizzes and homework problem sets to provide
more opportunities for practice and feedback on student performance.
Student and instructor data will be collected from both flipped and
non-flipped sections of Calculus to identify the benefits and challenges
of this pedagogy and its impact on student understanding.