**“Active Learning Strategies Inside and Outside the** Mathematics Classroom” Julie Miller Daytona State College

**Goals for today:** • Outline the use of preliminary activities to help students prepare for class • Discuss the use of video lecture outside of class • Create a Camtasia video from start to finish

**The Need for Change…** • From 2000 – 2004, enrollment in developmental mathematics at DSC steadily decreased • The college collected data from past, present, and future students regarding primary obstacles to success • The college identified and interviewed students who had begun their math sequence, but then dropped out of school

**Survey Results…** • Students in developmental math overwhelmed by the amount of time to complete their math sequence. • The mean amount of time that students spent on math homework per week was less than 1.6 hr. • Students who tried to study at home said they got “stuck” and frustrated.

**What We Did…** • Class meets for 8 weeks, 4 days per week for 1½ hours per day. • Lecture is condensed to 20 minutes at the beginning of the period. • Students work on mandatory assignments for the remaining part of class. These are graded daily. • Implemented a mandatory lab. (Immersion) (Minimize passive part of learning) (Active Learning) Class time + Lab time = 7+ hours of active practice

**Attendance…** 29 Students

**Completion Rates…** New Course Delivery

**Strategies to Save Class Time…** • Use preliminary worksheets for discovery • Use video content outside of class • This leave more time in class for group work and hands-on practice

**Problem 1** Problem 3 Problem 2 • Introduction to Complex Fractions • Add: 2. Subtract: • Divide: • Simplify the complex fraction • by using the order of • operations: • Simplify the complex fraction • by using the order of operations:

**Problem 6** Problem 7 = -4 = 39 • Multiply: 7. Multiply: • Simplify the complex fraction by multiplying numerator and denominator of the “big” fraction by the LCD of all individual fractions. That is, = = 9. Simplify the complex fraction by multiplying numerator and denominator of the “big” fraction by the LCD of all individual fractions. That is, = = …

**Multiplying Radical Expressions** Square each expression. 1. (a + b)2 2. (a – b)2 3. (a + 5)2 4. (5w – 4)2 5. 6. 7.

**Multiplying Binomials Puzzle** Complete the table. Show all work on a separate sheet of paper.

**Squaring Binomials Puzzle** Complete the table. Show all work on a separate sheet of paper.

**Multiplying Conjugates Puzzle** Complete the table. Show all work on a separate sheet of paper.

**Creating a Function “Repertoire”** 1.y = x 2. y = x2

**Creating a Function “Repertoire”** 3.y = x3 4. y = |x|

**Creating a Function “Repertoire”** 5.y = 6. y =

**Future Possibilities…** • Create a library of lecture videos for students to watch for homework. • Do practice problems in class where the instructor can help. (Reverse the role of lecture and homework)

**What is Camtasia?** • Screen capture software that allows the user to record, edit, and share screen video content.

**Applications for Recording…** • PowerPoint • TI-Smartview (graphing calculator emulator) • Tablet (write lectures directly on screen) • Flash • Maple • Excel • Other…

**Lecture Video Using Tablet PC** • Record lecture videos. • Post videos and accompanying PDF file for notes. • Students watch videos for homework with accompanying worksheet. • Video library available for students who miss class or need reinforcement.

**Video Homework**

**Other Video Applications** • Graphing Calculator Videos • PowerPoint Videos • Videos to summarize course policies • iPod videos

**Contact Information…** • Julie Miller: millerj@DaytonaState.edu