Title 大学初年級におけるGeoGebraの教育利用 ( 数式処理と教育 ) Author(s) 濱田, 龍義 Citation 数理解析研究所講究録 (2010), 1674: 112-119 Issue Date 2010-01 URL http://hdlhandlenet/2433/141210 Right Type Departmental Bulletin Paper Textversion publisher Kyoto University
1674 2010 112-119 112 GeoGebra /JST CREST (Tatsuyoshi Hamada) Fukuoka University/JST CREST 1,, GeoGebra, 1: TI-92 Plus (WikiPedia ) 2: GeoGebra 2 GeoGebra GeoGebra Markus Hohenwarter University of Salzburg TI-92 Plus 1 TI-92 Plus Cabri Geometry Derive, 2001 2, 2002 3 GeoGebra GeoGebra, EASA 2002: European Academic Software Award(Ronneby, Sweden),, Learnie Award 2003: Austrian Educational Software Award(Vienna, Austria), digita 2004: German Educational Software Award(Cogone, Germany), Trophees du Libre 2005: International Free Software Award, category Education(Soisson, France), 1 [1] TI-92, (Derive) (Cabri Geometry), TI-92 Plus
113 2004 2006 $PhD$, Austiran Academy of Sciences, [2] GeoGebra,,,, Java, Windows, MacOS $X$, Linux, GeoGebra Dynamic Mathematics for Everyone, GeoGebra (Dynamic Mathematical Software) GeoGebra (Dynamic Geometry Software) (Interactive Geometry Software),, GeoGebra GeoGebra Geometry Algebra $+$ GeoGebra,,,,,,,, GeoGebra 32 $45-$,, [3], Gyeonggi-Buk Science High School Choi Kyeong-Sik, Naver GeoGebra, [4] 3 GeoGebra GeoGebra 3,,,, 32,,, GeoGebra,, $x^{2}+y^{2}=1$,, 1 GeoGebra, 2 $x^{\sim}2+y^{-}2=1$ GeoGebra, 2, $\backslash i\backslash \prime^{\backslash }*$ 1 $:_{l^{\backslash },\backslash }-;$, $i^{-};\backslash j$ ( ) $3$ 4,
114 3: GeoGebra 3, 1 (1, 1) (2, 1) (1, 1) $A$, (2, 1) $B$, $c$, $c$ : $(x-1)^{2}+(y-1)^{2}=1$,,, (2, $B$ 1), (3, 1),, : $(x-1)^{2}+(y-1)^{2}=4$ $c$,,, $($, $x$ 1, $0)$, $[x$ $]$, $x$, $x$ $0$, $y$, $x$, $x$ $y$, $[x$ $, y$ $]$,, $(0,0)$,,,,,,,, $y=x^{2}$,,, GeoGebra,,,
$\zeta$ 115,,,, GeoGebra 4, 1 GeoGebra GeoGebra,, Function- View Grapes,, GeoGebra, Mathematica Maple, GeoGebra,,, 41 GeoGebra, $[]$, [ $>,$ $<x$, ] $>$, $f(x)=\sin(x)+\sin(2x)$ Enter, $f(x)$ $A$,, $A$ 4: $f(x)=\sin(x)+\sin(2x)$ 5: $x$ $x()$, $[]$ 2 $\zeta x(a)$, $A$ 2, $[f, x(a), 2]$,,, $A$, $-$
$\mathfrak{l}-$ 116,, $\simeq^{=}$, ( ), $\epsilon\cdot--$ $ $ $\iota_{\iota,\cdot-}$ $=\eta_{r\cdot \mathfrak{l}}arrow$ $_{- 1}^{L}f$ $ $ $ *sl$ $r$, 6:, $a$ $a$ 01 $-5\leq a\leq 5$ $a$ $A$ $x$, $A$ $A$,, $(a, f(a))$, $A$ $a$ $\aleph$,,,, $-5\leq a\leq 5$ $a$ 01,, Esc 7:, GeoGebra
117 GeoGebra,,,, $a$ $A$ $x$,, GeoGebra GeoGebra, 8: 5 GeoGebra, GeoGebra, $arrow$, html,, Java Applet HTML,,, $($png, $eps)$, PNG, PDF, EPS, SVG, EMF $I\#Tffi$, EPS,,, PSTriks PGF/TikZ,,,
118 6 GeoGebra Conference 2009 7 14, 15 RISC Geogebra GeoGebra Conference 2009 [5], GeoGebra, 3 $-$, CADGME2009 (Computer Algebra and Dynamic Geometry Systems in Mathematics Education 2009), Dynamic Geometry Software $\langle$, GeoGebra, Cinderella GEONeXT,,, (,,, $)$, Markus Hohenwarter,, CADGME,,,,, Choi Kyeong-Sik, 5 1 A&B) Software Development&Online Systems 2 C) Teaching Experiences in Primary and Secondary Schools 3 D) Creation of Instructional Materials with GeoGebra 4 E) GeoGebra at Universities and in Teacher Education 5 F) GeoGebra Institutes&Research,,, 2,,, A&B) Software Development &Online Systems F) GeoGebra Institute &Research,,,,,, GeoGebra,,, 7,, GeoGebra,, Web, ( $)$, UP
119 (2) GeoGebra 2, 3,,,,, GeoGebra GeoGebra,,, GeoGebra,,, 3,,,, William Stein Sage [6] Sage Python, Sage Web, Java GeoGebra GeoGebra, GeoGebra [1] http: $//www$ geogebraorg/conferences/200s0507-igi-cambridge/may7-igi- GeoGebra-Historyppt [2] http: $//www$ maa org/joma/volume7/hohenwarter/references html#hohenwarterphd [3] http: $//www$ hit acjp/wachi/geogebra/ [4] http: //cafe naver com/geogebra/ [5] http: //ggbconference2009 pbworks com/ [6] http: $//www$ sagemath org/