Using%20Technology%20to%20Enhance%20the%20Teaching/Learning%20of%20Mathematics - PowerPoint PPT Presentation

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Using%20Technology%20to%20Enhance%20the%20Teaching/Learning%20of%20Mathematics

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Title: Using%20Technology%20to%20Enhance%20the%20Teaching/Learning%20of%20Mathematics


1
Using Technology to Enhance the Teaching/Learning
of Mathematics
  • Lawrence E. Levine
  • Stevens Institute of Technology
  • llevine_at_stevens-tech.edu

2
Alternative Title
  • My Course Has Been Scheduled in a High Tech
    Classroom.
  • Now What Do I Do With All of This Equipment?

3
Words of Caution
  • Lecture/teaching model still good
  • Technology will not put us out of business
  • Use technology only where appropriate
  • Can add new dimensions to the classroom
  • Can add new dimensions to student learning
  • Limitations of Technology
  • Do not force its use

4
Some Uses of Technology as a Learning/Teaching
Tool
  • Course Web Sites
  • Scientific Notebook
  • Teaching with computers
  • Teaching in a laptop classroom
  • Mathematical slide shows
  • Discovering things using technology

5
Course Web Sites
  • All the important information about the course
  • Syllabus
  • Office Hours
  • Homework assignments
  • Lecture notes
  • Old Exams with solutions
  • Grades
  • http//attila.stevens-tech.edu/llevine

6
Web Site Cautions
  • Time considerations in creating a web site
  • Time considerations in maintaining a web site
  • Good support a must
  • Undergraduates or graduates
  • Clever, deal with technical aspects

7
Scientific Notebook
  • Word processing package with Maple kernel
  • Very user friendly front end
  • Type no code
  • Clicks
  • Interfaces with Web

8
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9
Mathematical Slide Shows I
  • http//attila.stevens-tech.edu/llevine
  • These use stream technology
  • How created
  • Power Point good for creating slides
  • Then can easily add narration
  • Real media add-on to convert to real format
  • Power Point not good for writing math

10
Mathematical Slide Shows II
  • SNB is good for writing math
  • Power Point does not read tex files
  • Solution
  • Prepare math using SNB
  • Capture portions of file as graphics files
  • Import these graphics files into Power Point
  • Add narration, convert to real format

11
Teaching with Computers
  • Present subject matter easily
  • Incorporate demonstrations in the lectures
  • Show students how to use software
  • Cautions
  • Must be easy to use
  • Requires a great deal of good support

12
Classroom Set-ups
  • Basic Set-up PC, Projector, Network Connection
  • Better Set-up Laptop connection
  • Student is basically passive
  • Even Better students have laptops with network
    connections
  • Wireless connections best

13
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14
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15
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16
Some Things One Can do
  • Lecture Notes
  • Should also be available as handouts or as
    downloads from web
  • Use only when appropriate many formulas
  • Software Demonstrations
  • How to use certain software
  • Demonstrations and Simulations
  • http//www.phys.virginia.edu/classes/109N/more_stu
    ff/Applets/ProjectileMotion/applet.html

17
The Case for Laptops I
  • Faculty must have laptops
  • PCs in classrooms not adequate
  • Prepare everything before on laptop
  • Should be able to come in, plug in laptop and
    teach
  • Ideally just a little more difficult than using
    chalk and a board

18
Case for Laptops II
  • Computer labs expensive
  • Students bring lab to classroom
  • Incoming student has state of the art equipment
  • Really use technology while teaching
  • Opportunity for interaction with and engagement
    of students

19
Teaching Linear Algebra in a Laptop Classroom I
  • Linear algebra with computers
  • Students with networked laptops
  • Two classrooms in one
  • Laptop covers down ordinary classroom
  • Laptop covers up computer lab
  • No written work accepted
  • Download SNB notes
  • Present some material laptops down!

20
Teaching Linear Algebra in a Laptop Classroom II
  • At appropriate points have students do exercises
    using SNB
  • These were homework problems to be turned in
  • Discuss problem under consideration
  • Use this alternating format lecture/computer

21
Teaching Linear Algebra in a Laptop Classroom III
  • NetOp School, synchroneyes
  • Monitor what students are doing
  • Take control of a students machine
  • Project screens of students for all to see
  • Have students make presentations from where they
    sit

22
Teaching Linear Algebra in a Laptop Classroom IV
  • Teach mathematics behind the methods
  • Not just a course in clicking
  • Reducing matrices to echelon form
  • Exams
  • Two parts written and computer
  • Upload computer part
  • Many technical issues!!!

23
Discovering Things Using Technology
  • Polynomial solutions of DEs
  • Which equations have a polynomial solution?
  • Nonhomogeneous Hermite equation
  • Using SNB to investigate this
  • Extrapolate general results form specific cases

24
Conclusions
  • The world is changing
  • Technology will become more prevalent
  • Students must be fluent with technology
  • Technology opens new horizons
  • Many approaches
  • Some good, some not so good
  • Try new approaches, identify good ones, develop
    them
  • No small challenge
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