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GSP


                        The Geometer’s

Sketchpad (GSP)




                  GSP




                                    GSP




GSP
1
GSP Geometer’s Sketchpad




                                    GSP




Constructivist Approach)

                                    Learner-Centered

Learning)         GSP

                                            Visualization)

                           Problem Solving Skills)

              GSP
1.
2.
3.




        (Keywords)

1. GSP Geometer’s Sketchpad



2.                            (       : polar coordinate
     system)



                                  )           ,


                                      ,           ,
1.   21   55   56
2.
3.
-

                                 (        : polar coordinate
system)



                                                   )       ,


                             ,            ,


Gregorio Fontana)
18
George Peacock)
Lacroix)          1816



                r                     θ        t


                                     (2π rad           360°)
                     ,   ,
θ




                                      r                     θ
(r = f(θ)     F(r, θ) = 0)                                       r(θ),
θ)                                            r


r     r(−θ) = r(θ)                                    0°/180°)     r(π
− θ) = r(θ)                       90°/270°)            r(θ − α°)
= r(θ)                       α°




                                  ,               ,     ,
r(θ) = 2 sin 4θ




                         φ0 (             0)   k
                           k          k
    2k     k                    k




         2, 6, 10, 14,
                a




-        GSP
Geometer’s Sketchpad

(GSP)




                                       GSP




Constructivist Approach)

                                      Learner-Centered

Learning)          GSP

                                              Visualization)

                             Problem Solving Skills)

               GSP




                                        GSP

                                         Best Educational

Software of All Time     Stevens Institute of Technology

Survey of Mentor Teachers      Most Valuable Software for

Students     National Survey of Mathematics Teachers, USA.
1.
2.
3.
4.
5.   The Geometer's Sketchpad (GSP)

6.   Paint
7.
     8.
     9.
     10.
     11.
     12.




           1234123412341234
1.


2.
3.



4.


5.


6.


7.
The
Geometer's Sketchpad (GSP)
         1




         2
GSP




                                 GSP




1.                         GSP
2.




     1.

The Geometer's Sketchpad
2




-

“



Sketchpad”               ,                       –
        -

-http://micle555.exteen.com/20080720/entry-1 (               6

             5).

-http://www.gotoknow.org/posts/385375? (             6

             5).

-http://www.thaigoodview.com/node/101941(                7

             5).
10

            31

           33

6/1
2   2555

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โครงงานคณิตศาสตร์

  • 1. GSP The Geometer’s Sketchpad (GSP) GSP GSP GSP
  • 2.
  • 3. 1
  • 4. GSP Geometer’s Sketchpad GSP Constructivist Approach) Learner-Centered Learning) GSP Visualization) Problem Solving Skills) GSP
  • 5. 1. 2. 3. (Keywords) 1. GSP Geometer’s Sketchpad 2. ( : polar coordinate system) ) , , ,
  • 6. 1. 21 55 56 2. 3.
  • 7. - ( : polar coordinate system) ) , , , Gregorio Fontana) 18 George Peacock) Lacroix) 1816 r θ t (2π rad 360°) , ,
  • 8. θ r θ (r = f(θ) F(r, θ) = 0) r(θ), θ) r r r(−θ) = r(θ) 0°/180°) r(π − θ) = r(θ) 90°/270°) r(θ − α°) = r(θ) α° , , ,
  • 9. r(θ) = 2 sin 4θ φ0 ( 0) k k k 2k k k 2, 6, 10, 14, a - GSP
  • 10. Geometer’s Sketchpad (GSP) GSP Constructivist Approach) Learner-Centered Learning) GSP Visualization) Problem Solving Skills) GSP GSP Best Educational Software of All Time Stevens Institute of Technology Survey of Mentor Teachers Most Valuable Software for Students National Survey of Mathematics Teachers, USA.
  • 11. 1. 2. 3. 4. 5. The Geometer's Sketchpad (GSP) 6. Paint
  • 12. 7. 8. 9. 10. 11. 12. 1234123412341234 1. 2.
  • 15. GSP GSP 1. GSP 2. 1. The Geometer's Sketchpad
  • 16. 2 - “ Sketchpad” , – - -http://micle555.exteen.com/20080720/entry-1 ( 6 5). -http://www.gotoknow.org/posts/385375? ( 6 5). -http://www.thaigoodview.com/node/101941( 7 5).
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27. 10 31 33 6/1
  • 28. 2 2555