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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

Main Menu: Evaluating Limits of the Indeterminate Form 0/0 »

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