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“Active Learning Strategies Inside and Outside the Mathematics Classroom”

“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

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“Active Learning Strategies Inside and Outside the Mathematics Classroom”

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

  2. 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

  3. 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

  4. 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.

  5. 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

  6. Attendance… 29 Students

  7. Completion Rates… New Course Delivery

  8. 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

  9. 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:

  10. 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, = = …

  11. 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.

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

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

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

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

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

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

  18. 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)

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

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

  21. 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.

  22. Video Homework

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

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

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