作図ツール GC/html5 ビューア版の開発と iPad を使った教育実践 (数学ソフトウェアと教育 : 数学ソフトウェアの効果的利用に関する研究)

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1 GC/html5 ipad (Yasuyuki Iijima) Department of Mathematics Education, Aichi University of Education GC Geometric Constructor( GC ) (2010) DOS 1989 Windows 1998 Java OOO 2009 lo (4 1 ) 1 ( (2009)) ( ) (1) ( (2)

$244 1.2 $ipad$ $=$ PC 2010 $ipad$ / / PC GC $ipad$ $(GC/DOS, GC/Win, GC/Java)$ flash $ipad$ PC $ipad$ 1.3 (cabri, Geometer $s$ SketchPad, GC ) MB GeoGebra(http: $//\backslash vww$.$

2 $ipad$ $=$ PC 2010 $ipad$ / / PC GC $ipad$ $(GC/DOS, GC/Win, GC/Java)$ flash $ipad$ PC $ipad$ 1.3 (cabri, Geometer $s$ SketchPad, GC ) MB GeoGebra(http: $//\backslash vww$.geogebra.org$/cms/$ ) PC $ipad$ 2 GC 2.1 $=html5+$ JavaScript GC html5 JavaScript $+$ (1) $ipad$ Objective $C$ htm15 $+J$avaScript web 2 htm15 canvas ($ipad$ Safari ) $ipad$ ( ) PC htm15

3 245 ( ) ( ) (2) htm15 JavaScript web $+$ (3) Java net framework visual studio eclipse htm15 JavaScript $+$ $+$ JavaScript (4) (5) Objective $C$ JavaScript htm15 JavaScript $+$ $ipad$ Objective $C$ 2.2 GC GC (1) GC html5 JavaScript $+$

4 246 (2) $ipad$ (3) 3 GC $/html5$ 3.lGC htm15 JavaScript $+$ GC$/html5$ (1) GC $/Win$ (visual basic ) ( ) GC $/Win$ JavaScript JavaScript prototype visual basic, function Java JavaScript (2) PC $ipad$ ( 4 ) function $($GC $/Win$ ) $ipad$ (5 ) (3) function function $\frac{-.\cdot\frac{-}{}}{b1}\infty$ $:\sim_{\overline{\underline{-\sim}}}^{m}\sim\cdot\cdot m\ldots$ PC $GC/Java$ ( )

5 247 (4) GC $/Win$ $GC/Win$ GC$/html5$ GC $/Win$ GC $/Win$ Shift-JIS utf-8 $\frac{--*\cdot m\ovalbox{\tt\small REJECT}-ww*}{\overline{A\wedge\backslash *ae\wedge\lambda_{\vee}^{-*}}}-\overline{\frac{-_{-\wedge\wedge*mum\wedge-:\text{ }}}{A-R\cdot S\wedge\triangleleft}}$ $-$ r, $\tau$lx $*$Oabt -, $r\vee\ovalbox{\tt\small REJECT}\ovalbox{\tt\small REJECT}$ $m\sim\sim$ $\ovalbox{\tt\small REJECT}\grave$u $,xm\nu L*$, $t*\langle\alpha\cdot\kappa\varpi x\ltimes-nu,*\alpha\iota\sim rarrow Kl\vee fx\cdots p$ (5) 2 $ipad$ Safari canvas htm15 $ios$ update (6) / $GC/Win$ ( ) ( ) 2

6 GC 22 (1) GC html5 JavaScript $+$ $ipad$ Safari, PC Internet Explorer 9, FireFox7, Safari 5, chrome 16, Opera 11 $130kb$ ( $360kb$ ) (2) $ipad$ PC GC/html5 $ipad$ sony tablet (1)

7 249 (2) (3) $ipad$ : ( ) (1) : A D ABCD A ABCD A ABCD ( A BD A D ABCD ) $\overline{\frac{\infty\sim mm\prime-*}{m\wedge\sim_{\infty\sim}m\infty\infty-}}$ (2) $ipad$ GC/html5 OHP ( OHP $\angle A=90^{O}$ A ).

8 250 (3) $ipad$ PC BC ( ) ipad OHP BD 4.3 2: (1) : E

$251 $- \sim\sim\infty\frac{\text{ }}{}$ $\frac{\prime:..0\overline{\wedge}m\cdot n\psi*(u\alpha.\ldots.$

9 251 $- \sim\sim\infty\frac{\text{ }}{}$ $\frac{\prime:..0\overline{\wedge}m\cdot n\psi*(u\alpha.\ldots.\ldots w,\alpha}{wm\dot{\dot{\dot{\omega}}}\sim u\sim\omega nu*wm\dot{\dot{w}}}$ (2) $ipad$ GC$/html5$ E OHP $m-\infty$ $\wedge\ovalbox{\tt\small REJECT}-rightarrow\frac{\text{ }\cdot\ovalbox{\tt\small REJECT}\underline{m}_{F}\cdot.\prime\prime\prime\prime\prime}{}$. $t:0\infty\triangleright\iota v\{f\cdot \mathfrak{m}$ AD//BC $ipad$ GC/html5 (3) 1 $ipad$ OHP $(ipad$ OHP )

10 252 GH E E $ipad$

253 $ipad$ OHP 4 $ipad$ $-$ 4.1 3 5 GC html5 JavaScript $+$ 5 5.

11 253 $ipad$ OHP 4 $ipad$ $-$ GC html5 JavaScript $+$ GC $ipad$ GC ( $)$ GeoGebra 5 html5 JavaScript $+$ PC, $ipad$ html5 5.2 htm15 JavaScript $+$ $GC/html5$ $ipad$ PC $ipad$ (Java, flash,.net framework) html5 JavaScript $+$

12 GC$/html5$ GC$/html5$ GC$/Java$ pukiwiki ( $)$ (2005). web ( (2004)). GC/html [1] : 37, pp , 2004 [2] $GC/Java$ 29(2), pp , 2005 [3] 1 1 GC - : 51, pp.5-16, 2009 [4] Geometric Constructor ( ), 1674, pp , 2010

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