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Creating Multimedia Lessons for the Middle Grades

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Deriving the formulas for area of a trapezoid, a kite, and a rhombus. Using the formula for the area of a trapezoid / kite to solve problems. Instructional Materials ... – PowerPoint PPT presentation

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Title: Creating Multimedia Lessons for the Middle Grades


1
Creating Multimedia Lessons for the Middle Grades
  • Judith Preiner, Markus Hohenwarter
  • Florida Atlantic University
  • Boca Raton, USA

2
Overview
  • Standards Mapped Graduate Education and Mentoring
  • General Information
  • Math and Science Partnership Institutes
  • Multimedia Lessons
  • Effective Use of Technology
  • Creation Process of Multimedia Lessons
  • Examples for Multimedia Lessons

3
The SMGEM Project
  • Standards Mapped Graduate Education and Mentoring
  • For Middle School Mathematics Teachers
  • NSF Math and Science Partnership (MSP)
  • Florida Atlantic UniversityDepartment of
    Mathematical Sciences
  • School Board of Broward County
  • Master of Science in Teaching degree in Middle
    School Mathematics

4
The SMGEM Project
  • Standards Mapped Graduate Education and Mentoring
  • Funded by the National Science Foundation
  • Original award August 2004 for 5 years
  • Supplements August 2006 and May 2007
  • Grant based on 10 years of prior NSF funding for
    FAU / SBBC teacher enhancement projects
  • Principal Investigators
  • Dr. Heinz-Otto Peitgen (PI)
  • Dr. Richard F. Voss (Co-PI)

5
The SMGEM Project
  • Standards Mapped Graduate Education and Mentoring
  • Specially designed evening classes
  • Summer Institutes
  • Biannual Pedagogy Conferences
  • Goals
  • Increase mathematical and pedagogical content
    knowledge
  • Effective use of technology for learning and
    teaching mathematics
  • Impact on university, school district, and
    students

6
MSP Institute Components
  • Master of Science in Teaching
  • Track for Middle Grades Mathematics
  • Through the FAU Department of Mathematical
    Sciences
  • Fewer math prerequisites but more school
    relevant courses
  • Emphasize technology
  • Connections across disciplines
  • Journals and lesson plans
  • Focus on Sunshine State Standards

7
MSP Philosophy
  • Awareness of standards and classroom realities
  • Extend and enhance
  • Content knowledge
  • Teaching strategies
  • Teachers teaching teachers
  • Teacher leaders
  • Best practice examples
  • Emphasis on journals, narrative, and lesson plans
    rather than traditional homework and exams

8
MSP Philosophy
  • Discovery (active) learning
  • Web of connectivity
  • multiple paths through traditional disciplines
  • Multiple representations
  • algebraic, geometric, numeric, and narrative
  • Use of technology

9
Creating and Implementing Multimedia Lessons
10
Effective Use of Technology?
  • Selective use of software for teaching and
    learning
  • When does it make sense to use software?
  • Which contents should rather be taught in a
    traditional way?
  • Which type of software is appropriate for which
    content?
  • Best practice examples from lead teachers
  • How do I use software efficiently in my
    classroom?
  • Exchange of real world experiences using
    technology in a classroom

11
Design Principles for Multimedia
  • Multimedia Principle Use words and graphics
    rather than words alone
  • Contiguity Principle Place corresponding words
    and graphics near each other
  • Coherence Principle Adding interesting material
    can hurt learning
  • Personalization Principle Use conversational
    style and virtual coaches
  • Learner Control Principle Use learner control
    for learners with high prior knowledge or high
    meta-cognitive skills
  • Source Clark, R. Mayer, R.E. e-Learning and
    the Science of Instruction. San Francisco
    Pfeiffer, 2002.

12
Technology Tools
  • GeoGebra Dynamic Mathematics Software
  • Excel spreadsheets
  • PowerPoint presentations
  • Word text processing
  • NVU html-editor
  • HotPotatoes tests and quizzes

13
Design Guidelines
  • General layout
  • All contents (text construction) should fit on
    one screen
  • Students should not have to scroll between the
    task explanations and the construction
  • Take 1024x768 pixel or 1280x1024 pixel as the
    usual screen sizeTip use tables in NVU to
    achieve this
  • Example by B. Perez Area of a Rhombus

14
Design Guidelines
  • Dynamic construction
  • Allow as much dynamic variation as possible!
  • The size of the applet matters! It should be
  • big enough to allow discoveries
  • small enough to fit on screen and to leave
    space for explanations and tasks
  • Fix texts and slider positions
  • When a worksheet is opened you should be able to
    read all labels
  • Example by G. Barmoha Rotated Point Practice

15
Design Guidelines
  • Text
  • Use as little text as possible - every word
    counts!
  • Convention
  • On top of the construction
  • Short explanation of what this page is about
  • Short description of the dynamic construction
  • Below the construction
  • Tasks and assignments
  • Instructions like "move point A" are part of the
    tasks
  • Example by M. Yanes Adding Integers on the Real
    Number Line

16
Design Guidelines
  • Tasks and Assignments
  • Limited number of questions on one worksheet
  • If a worksheet is just for presentation by a
    teacher
  • it might be better to have no tasks or questions
    on it
  • if you have text there it has to be clear for
    students
  • Solutions or information for other teachers
  • Should not be part of the worksheet
  • Add an additional document that describes your
    ideas

17
Design Guidelines
  • Guidelines for tasks / assignments
  • Make clear what the students should do
  • Avoid questions like "What is always true?
  • Explain new terms (e.g. "congruent") by giving
    examples related to the construction
  • Should the answer to a question be written down
    on paper? If yes, say so on the worksheet or at
    least in accompanying material (e.g. lesson plan)

18
Multimedia LessonsExample by J. Carter
  • Area of Circles and Probability
  • 8th Grade, Pre-Algebra
  • Objectives of the lesson
  • Finding the area of circles and complex figures.
  • Describing how the radius of a circle affects it
    area.
  • Calculating the probability of a simple event.
  • Using technology as a tool to solve a problem.
  • Instructional materials
  • PowerPoint Presentation
  • Dynamic Worksheets

19
Multimedia LessonsExample by N. Perez
  • Adding Fractions
  • 7th Grade, Regular Math
  • Objectives of the lesson
  • Converting fractions to equivalent fractions with
    a common denominator
  • Adding fractions with a common denominator
  • Simplifying fractions to mixed numbers
  • Instructional Materials
  • PowerPoint presentation
  • Excel spreadsheet

20
Multimedia Lessonby B. Walker
  • History of Pythagorean Theorem
  • 7th Grade, Intensive Math
  • Objectives of the lesson
  • Become familiar with the history of Pythagorean
    Theorem
  • Having a better knowledge of Pythagoras
  • Becoming familiar with the Pythagorean Theorem
  • Instructional Materials
  • PowerPoint presentation
  • Sequence of HotPotatoes files
  • Quiz
  • Gap-close exercise

21
Multimedia LessonsExample by B. Perez
  • Area of Trapezoids, Rhombuses, and Kites
  • 8th Grade, Geometry
  • Objectives of the lesson
  • Deriving the formulas for area of a trapezoid, a
    kite, and a rhombus.
  • Using the formula for the area of a trapezoid /
    kite to solve problems.
  • Instructional Materials
  • Series of Dynamic Worksheetse.g. Area of a
    Trapezoid

22
GeoGebra _at_ CADGME
  • GeoGebra in
  • Secondary School Teaching
  • Workshop by Markus Hohenwarter
  • Thursday, 1430 1600
  • Room 244

23
Thanks for your attention!
  • Judith Preiner, jpreiner_at_math.fau.edu
  • Markus Hohenwarter, mhohen_at_math.fau.edu
  • Florida Atlantic University
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