1

Technology in the Math's Room

TJ 591 Lecture week 8 2004

2

Internet Resources

• The Internet abounds with Math’s resources.

• Google searchs for:• technology pedagogy maths

23,000 pages • ICT maths pedagogy

5,700

3

The Mathematical Association of Victoria

http://www.mav.vic.edu.au

4

A Maths Dictionary for Kids

http://www.teachers.ash.org.au/jeather/maths/dictionary.html

5http://www.microworlds.com

Microworlds

6http://velorum.ballarat.edu.au/~rrussell/microworlds

7http://www.mathcats.com

8http://www.mathcats.com

9

10

11

12

James Discovers Math's

13

Simulation

• (computer science) the technique of representing the real world using a computer program

• Simulations are powerful because they allow students to experiment with concepts.

14

Pattern Blocks

http://matti.usu.edu/nlvm/nav/vm1_asid_171.html

15

Geoboards

http://matti.usu.edu/nlvm/

16

A Broken Calculator

http://www.cut-the-knot.org/Curriculum/Arithmetic/BrokenCalculator.shtml

17

A Broken Calculator

www.fi.uu.nl/toepassingen/00014/toepassing.xml?language=en

18

http://matti.usu.edu/nlvm/nav/index.html

http://matti.usu.edu/nlvm/nav

19http://matti.usu.edu/nlvm/nav/topic_t_3.html

20http://archives.math.utk.edu/k12.html

21http://matti.usu.edu/nlvm/nav/frames_asid_277_g_1_t_3.html?open=activities

22

The Geometer’s Sketchpad

http://www.keypress.com/sketchpad

23http://www.keypress.com/sketchpad

24

Calculators

http://www.avlandesign.com/calc.htm

25http://www.chainwave.com/Poly/Default.htm

26www.fi.uu.nl/toepassingen/00297/toepassing.xml?&language=en

27

Small Stella

http://home.aanet.com.au/robertw/Downloads.html

28http://www.galaxy.com/galaxy/Science/Mathematics/Software/

29http://www15.addr.com/~dscher/expcircle.html

30http://www.forsyth.k12.ga.us/kadkins/spreadsheet.htm

31http://www.forsyth.k12.ga.us/kadkins/picgraph.htm

32http://www.forsyth.k12.ga.us/kadkins/ifthen03.htm

33http://www.canteach.ca/elementary/statprob9.html

34http://mathforum.org/workshops/sum96/data.collections/datalibrary/data.set6.html

35http://hp.vector.co.jp/authors/VA019891/eng/

36http://www.accesscom.com/~lillge/pgc/

37http://www.sabine.k12.la.us/class/excel_resources.htm

38http://www.lttechno.com/links/spreadsheets.html

39http://www.cs.uidaho.edu/%7Ecasey931/mega-math/

40

Math’s Fonts

http://www.ballarat.edu.au/~rrussell/fonts

41

Fractals

http://matti.usu.edu/nlvm/nav/frames_asid_136_g_4_t_3.html

42This is the image: www.oznet.ksu.edu/.../jpglbry/ Water/General/reflection.jpg

43

44

Teacher Roles In Computer-Enriched Classrooms

www.kidsource.com/kidsource/content2/integrate.computers.html

1. Instructor2. Coach3. Model4. Critic

45

1. Instructor

When the computer is introduced into the classroom, an initial learning period occurs during which the children need time to become familiar and comfortable with the technology. It is during this period that the teacher needs to assume the most active role in instructing children, guiding them through new software and encouraging their exploration of the material.

www.kidsource.com/kidsource/content2/integrate.computers.html

46

2. Coach

As students gain experience with computers, the focal role held by the teacher gradually diminishes; children are able to perform tasks independently, and peers begin to take over the role of instructor. The teacher then moves into the role of facilitator, providing guidance and support when needed and ensuring appropriate behaviors, while control of the situation remains in the hands of the child.

www.kidsource.com/kidsource/content2/integrate.computers.html

47

3. Model

Children will be much more likely to use the computer as a practical, integrated tool for learning if they see the teacher doing the same. Using the computer during whole and small group instruction and for recording stories and producing classroom signs and charts are ways in which the teacher can be a highly visible user of technology.

www.kidsource.com/kidsource/content2/integrate.computers.html

48

4. Critic

Responsibilities of the teacher in the computer-enriched classroom begin before the computer is introduced to the students. In providing a rich, challenging, and appropriate learning environment, teachers must take an active role in selecting the software that will truly enhance children's learning and development.

www.kidsource.com/kidsource/content2/integrate.computers.html

49

Low expectations of the teacher - Narrow learning outcomes

High expectations of the teacher - Broad learning outcomes

User has control

Technology has control

SimCity etc

Drill and practice eg Math Blaster and many CD ROMs

HyperStudio, MicroWorlds, PowerPoint, Clarisworks, Kid Pix, Office, Web

Publishing Software,Email

Software PyramidGraeme Oswin 1997

50

51

Ask Dr. Math Students can ask questions about math problems. It is fun to read the student questions and see the

answers. Try it. You might learn something new.

http://mathforum.org/dr.math/dr-math.html

52

ENIAC

http://www.library.upenn.edu/special/gallery/mauchly/jwm8b.html

53

Grace Hopper - 1950’s

UPI/Bettmann "Grace Hopper," Microsoft Encarta 96

54

Thank you.

http://perso.wanadoo.fr/pc-informatik/histoire1.htm