## Project Background

From 2007 - 2012, the Center for Learning & Teaching at Penn State Berks partnered with mathematics professors Valetta Eshbach and Alice Shaparenko, mathematics tutor Rebecca Yarosz, and The Learning Center, to create a series of online resources, specifically for our Math 110 courses. The online tutorials and interactive practice exercises target particular mathematical concepts that students typically struggle with.

The staff of the Center for Learning & Teaching met with Shaparenko and Eshbach to identify problematic mathematical concepts and develop an appropriate instructional approach. The project was managed under the direction of John Shank, (former) director of the Center for Learning & Teaching. Instructional designers Bo Zigner (early part of project) and Amy Roche (latter part of project) conducted the analysis phase and drafted storyboards. Instructional Multimedia Designer Mary Ann Mengel worked with the SMEs to continue the iterative design/development phase. The modules were developed using Adobe Flash and Adobe Presenter. Assessment of the modules was coordinated by Amy Roche.

The idea for this project was brought to the Center for Learning & Teaching by Dr. Paul Esqueda, Associate Dean for Academic Affairs, and Anna Donahue, manager of The Learning Center.

Four online modules (which each include a tutorial and interactive practice) were completed as of Spring 2009. Students view a short online tutorial after which they are directed to a related online practice exercise.

## Project Portfolio

### Limit Definition of a Derivative

** Tutorial:** Limit Definition of a Derivative

** Interactive Practice:** Limit Definition of a Derivative

** Do-it-yourself Exercises:** Limit Definition of a Derivative

### Simplifying Derivatives by Factoring

** Tutorial:** Simplifying Derivatives by Factoring

* Interactive Practice (product rule):* Simplifying Derivatives by Factoring

* Interactive Practice (quotient rule):* Simplifying Derivatives by Factoring

* Do-it-yourself Exercises:* Simplifying Derivatives by Factoring

### Distributive Property in Implicit Differentiation

* Tutorial:* Distributive Property in Implicit Differentiation

** Interactive Practice:** Distributive Property in Implicit Differentiation

** Do-it-yourself Exercises:** Distributive Property in Implicit Differentiation

### Finding Critical Values

** Tutorial:** Finding Critical Values

** Interactive Practice:** Finding Critical Values

** Do-it-yourself Exercises:** Finding Critical Values

### Evaluating Limits of the Indeterminate Form 0/0

*Evaluating Limits of the Indeterminate Form 0/0 »*

**Main Menu:**### Limit of a Rational Function

* Tutorial:* Limit of a Rational Function

* Interactive Practice:* Limit of a Rational Function

** Do-it-yourself Exercise:** Limit of a Rational Function

### Limit of a Function Involving a Radical

** Tutorial:** Limit of a Function Involving a Radical

** Interactive Practice:** Limit of a Function Involving a Radical

** Do-it-yourself Exercise:** Limit of a Function Involving a Radical

### Limit of a Function Involving a Rational Expression

** Tutorial:** Limit of a Function Involving a Rational Expression

** Interactive Practice:** Limit of a Function Involving a Rational Expression

** Do-it-yourself Exercise:** Limit of a Function Involving a Rational Expression

### Limit of a Function Involving Absolute Value

** Tutorial:** Limit of a Function Involving Absolute Value

** Interactive Practice:** Limit of a Function Involving Absolute Value

** Do-it-yourself Exercise:** Limit of a Function Involving Absolute Value