数学月間活動から見た教育数学

Transcription

1 () (Katsuhiko Tani) MAM $-$ 2. 3 MMP $MMP$ Plus 37 ( ) ( ) $\sim$ [1] 5000 $x$ 19

2 [2]. : ( ) 1.2 [3] ( ) : [4] 2 ( ) ( ) 2 19 (1687 ) : (12 )[5]

3 $-\ovalbox{\tt\small REJECT}$ $R$. (1924) : [6] ( ) (1). ( 1 )$=$ $==$-,$=$ $=$ $=$ $=$ $=$ $=======$ $B$ - $====================================================-$ 2 [1] 2.1 $\backslash$ 50

4 51 MMP[10] (), $E$. (), -() $MMP$ MAM (2) Maths $=$ Awareness Maths Awareness ( ) 19 (3). 20 MMP() MAM() ( ) ( ) ( ) 3. $($ $2)=========================-$ 2005 ( 60 ) $7/22\sim S/22(\fallingdotseq 1/\pi^{\sim}1/e)$ $s/s$ [ ] ( :SGK, : ) ( 7/22) $SGK$ : ( ) [email protected] $================================^{--}$ http: $//www$.sugaku-bunka. org/

5 52 $($ $3)============================_{ }--$ 2005 (2004) $COE$ ( ) [7], [8] SSH 2002 ( ) 2005 ( ) MAM [1] Mathematics Awareness Month$(=MAM)[9]$ ( 2) 1980 TQC(4) MAM ( 1). $=========================_{---}$ (4) TQC/TQM( ) TQM

6 MMP [1] MAM( ) MillenniumMathsProject $(=MMP)[10]$ ( ) MMP lmmp MMP( ) 5 $\sim$ MMP MMP ( ) (14 ), [11]: NRICH ( $=$ enrich: ) 5-9 ( ) NRICH Plus ( ) 15 $+$ Plus Motivate ( ) ( ) ww2 $8\sim 18$

7 Plus 37 ( ) [12]. (1) $A$ ( ). : $\cdots\cdots$ (2) 1 ; $A$

8 55 : (3),, ( ) ( ) $\cdots\cdots$ $UAS$,STIMULUS (4)

9 56 (5) $\mathbb{l}$ $($ Ofsted :Office for Standards in Education) (6) : 1 (7)

10 $=$ ( ) [13]. BSE( ), (5). [ (1999)] ( ) (1972) [13]. ( ), ( $GE$ Mark $I$ ), $MOX$ (2010,9) ( ) (1973 ) [14] ( $\sim$ $)$ 3[15]. : [16]

11 58 / DNA. $)$ ( ) [17], ( ) $===-$ (5) 1990 BSE BSE 1996 (2002) [13]. $==============================================-$

12 ( ) MAM [10] ( ) 3 : (1) [18] 2 8 ( ) (2) [19] ( $)$ (25 $)$, $\acute{}\tilde{}$ (3) [20] : :30 $\nearrow\grave{}\grave{}\grave{}$ - Ems 1 1 5

13 60 $arrow\triangleright$ $(\nearrow\backslash$ / ) [21] SPEEDI( $=$ ) (3 30 )

14 ( ) El, mathematica ( ) (1960) 1970 Concreat Mathematics (6)[22]. : Concrete Maths $,$ Abstract Maths New Maths ( 6 ) - CONCRETE CONtinuous discrete Discrete Maths $c$ oncrete Maths

15 62 ( 1) MAW (1998 )/MAMAM (1999 ) ( ) MAM: Mathematics Awareness Week MAM: Mathematics Awareness Month $(4fl)$ AMS: American Mathematical Society MAA: Mathematical Association of America SIAM: Society for Industrial and Applied Mathematics $ASA($ $*)$ ;American Statistical Association JPMB: Joint Policy $Bo$ ard for Mathematics () 2006 $ASA$ $*$

16 $\ovalbox{\tt\small REJECT}$ $\Re_{\Xi^{\backslash \underline{g}}\tau_{ J}^{F}}^{1}$ $^{}\backslash \backslash \Leftrightarrow tf\phi T\ovalbox{\tt\small REJECT}_{\acute{t}_{\vee}r_{t^{\dot{z}_{\lrcorner}}}^{1}aer_{arrow}}^{\ovalbox{\tt\small REJECT}>\theta m },$ $\check{)}_{\hat{l3}}f_{\llcorner}^{\vee}$ $\theta_{1}\backslash ^{}\backslash \ovalbox{\tt\small REJECT}\ovalbox{\tt\small REJECT}\Lambda\ovalbox{\tt\small REJECT}$ $\lambda\sigma\not\subset\rangle$ $Et_{-}\epsilon\ovalbox{\tt\small REJECT}\ovalbox{\tt\small REJECT} X\ovalbox{\tt\small REJECT}_{S}^{f}f_{arrow}\wedge _{}\underline{\sigma}kaet^{\frac{\in\tilde{p}}{\llcorner}\not\in:\backslash }\subset l^{}\check{.}\delta\re_{\backslash }?\S$ $\ovalbox{\tt\small REJECT},$ $\grave{\lambda}$ $g\ \not\equiv\overline{-\tilde{\sigma}\xi\cdot}t\prime Y-\zeta$ $\overline{-}$ $Tf\overline{\overline{fl}}$ $m^{\check{\llcorner}}\ovalbox{\tt\small REJECT}\not\in^{)}\mathfrak{F}^{\#g_{\backslash }}\not\subset$ $\iota g_{\backslash A\sigma F\mathfrak{B}}^{b\Phi\Re}a_{\vee}$ $\approx$ $\ovalbox{\tt\small REJECT}$ REJECT}}}.$ $\eta J\backslash$ $>\ovalbox{\tt\small REJECT}_{\Re}^{\backslash }$ $*\backslash \vee^{/}\leftrightarrow \backslash b^{\wedge}5\ovalbox{\tt\small REJECT}\not\in_{\wedge}:\supset\vec{x}$ $\mathfrak{h}\leftrightarrow\dot{\prime}\pi^{j}\supset g\mathscr{x}_{\ovalbox{\tt\small REJECT} g^{arrow}}^{r}3^{\backslash }$ $t,\leftrightarrow\backslash$ $\overline{\fcircle g\vee}$ $r-r_{\eta^{-}}^{1}*(\swarrow\ovalbox{\tt\small REJECT} ^{}\backslash$ $\Re g_{1i}^{\overline{r}}\rightarrow t\re$ $\tilde{\re}\neg$ $\succ\lambda\ddagger\gamma g\ovalbox{\tt\small REJECT}_{1\ovalbox{\tt\small REJECT}}^{-\dot{\pi}}{\}\grave{l}^{}\mathfrak{B}\}^{*_{}\ovalbox{\tt\small REJECT}\ovalbox{\tt\small REJECT}}.f^{-}$ $\mapsto\backslash$ REJECT}$ $\mathfrak{m}\tau$ $A\ovalbox{\tt\small REJECT}$ $\Leftrightarrow n_{\triangleleft}7\iota_{-\neg}^{\s\cdot \tau \Leftrightarrow_{\backslash }}_{}p^{\neg}\rightarrow$ $\mathfrak{b},\mathfrak{b} 1^{\backslash \phi_{e}+}\approx$ $\grave{2}_{\circ}$ $*$ g $\Re \mathfrak{b}arrow$ $\sqrt{}\epsilon\grave{}\grave{}$ $\}\grave{}$ $arrow$ $\grave{}$ $\tau\sim$ $f_{c}\ovalbox{\tt\small REJECT}$ REJECT}\ovalbox{\tt\small REJECT}$ $\ovalbox{\tt\small REJECT} \xi$ $\Vert$ $\Leftrightarrow.\zeta\Xi i _{}\veeff_{\backslash }\ovalbox{\tt\small REJECT}_{\vee}^{1_{R}^{R}}l_{\dot{{\}}}^{-}\ovalbox{\tt\small REJECT}^{\sim}$ $\ovalbox{\tt\small REJECT} A$ $A\ovalbox{\tt\small REJECT}\not\in\ovalbox{\tt\small REJECT}\ovalbox{\tt\small REJECT}*b$ $\ovalbox{\tt\small REJECT}\ovalbox{\tt\small REJECT}$ $\approx\xi$ $\ovalbox{\tt\small REJECT}$ $\aleph\leq \mathfrak{f}$ $\#\ovalbox{\tt\small REJECT} _{}\epsilon^{\backslash }-r_{\overline{\sim}\ovalbox{\tt\small REJECT}^{b}} /\backslash \ovalbox{\tt\small REJECT}$ $\ovalbox{\tt\small REJECT}$ $\ovalbox{\tt\small REJECT}$ $\ovalbox{\tt\small REJECT}_{-}^{\S}$ 63 ( 2) ( 3) $\sqrt{-\urcorner}$ dt $199$ $k^{\backslash }$ $\overline{\overline{\underline{b}}}\overline{\equiv}-$5000 $g\ovalbox{\tt\small $(Nati\circ nalnethemati_{cs}affiren\ovalbox{\tt\small REJECT} ss$ $\backslash$$eek)$ \S ae $g$ $n$ } $g$ {/ l $3C$ }$ $\forall\not\in!\theta $F\iota\emptyset 1b^{\backslash }w\hslash^{3}\mathfrak{b}\not\in PA$ ^{}\underline{a}$ $t_{\sqrt\backslash $_{}1-arrow^{\backslash }$ $1\prime e_{\ovalbox{\tt\small REJECT}_{\backslash }}$ :f$\theta$ REJECT} \mathfrak{f}$ $24$ g? $\Re\underline{g}$ $\ovalbox{\tt\small $\not\in\epsilon\epsilon ae\epsilon$ $\Xi\vee\emptyset K g\cdot$ aem\ovalbox{\tt\small REJECT}\not\in$ k }$ $\epsilon_{\tilde{w}}\re $\yen$ $l_{, [- $\Phi$ $\zeta\grave{}$ $*i^{-}\cdot\leftrightarrow-\subset*atf\ovalbox{\tt\small REJECT}$ $,$ $fh$ -$arrow$ $\mp 7\iota\bigoplus_{arrow.\underline{F}}\prime\hat{\tilde{g^{r}}}\ovalbox{\tt\small REJECT}\not\in^{)}\mathfrak{B}^{7}\underline{\sim^{E}\neq}$ $4$ $\otimes a\{;\backslash $ $14$ $4$ $20$ $,$ $bf^{\psi\hslash^{3\neq}}\ovalbox{\tt\small REJECT}_{}^{ae}\neg@ffi*$ $\Re$ $\ovalbox{\tt\small REJECT}$ $L$ 4 $g\re$ $g$ BSR $\prime\wedge^{\acute{\sim}}\overline{\mathfrak{h}}\tau^{\dot{g}_{:\ovalbox{\tt\small. $gg$ $\ ^{\sim}\ovalbox{\tt\small REJECT}\pi aa$ $lif_{c}$ $8^{\backslash }\neq^{r_{\vee}}$ $\ovalbox{\tt\small REJECT}_{\backslash }gp_{1}-.$ aet2}}\#\dot{a}\ovalbox{\tt\small REJECT}\backslashae$ $\hat{a}p$ $*\not\leqq^{o_{lg\backslash $a\not\in l\neqarrow b*$ $-\grave{x}gg$ $i\xi$ $0*\iota\backslash \ovalbox{\tt\small REJECT}$ $\supset$ $gb$ $g5>g ^{}\backslash \ovalbox{\tt\small REJECT}$ $g$ $\#_{\backslash }^{s}*^{\sim}\not\in\wedge\not\cong$ $g_{p_{\nabla}}\backslash \geqq\not\in\not\equiv*$ $J;t\iota$ $g\lambda g\emptyset\neg$ $4$ $=$ 17 $\supset$ $\ovalbox{\tt\small REJECT} k^{\backslash c}$ $\grave{l}\backslash$ ae ae $\ovalbox{\tt\small REJECT} P_{B^{f}}i$ $E$ $\Re$ $\prime/\ovalbox{\tt\small REJECT} \not\cong\dot{4} _{i}$ $\ovalbox{\tt\small ; g (Ronald Reagm) $18B$, $\Re$ $ag^{\check{p}}\epsilon\epsilon_{^{}\backslash }0\underline{\mathcal{X}}\ovalbox{\tt\small REJECT}_{e}^{ae}\ovalbox{\tt\small REJECT}$ $\not\in$ $\iota$ $_{}s\iota\supset\ovalbox{\tt\small REJECT}\backslash$ 4 $\Lambda*$ $s\theta^{\backslash }\mathbb{h}\not\in$ $7\circ\Leftrightarrow\check{\ovalbox{\tt\small REJECT}}a$

17 64 [1] No.6, 2006, 8-14 $\nearrow\backslash$ [2] $E$. ( ), 2004 [3] No.15, 2011, [4] ( ), 1987 [5] ( ), 1966 [6] ( ), 1985 [7] 2006 [8] 2010 [9] Maths Awareness Month, http: $// mathaware. $org/$ index. $html$ [10] Millennium Maths Project, http: $/fwww$. mmp. maths. org/index. html [11] http: $//plus.$ maths. org/issue38/editorial/index. html $[12]$ http: $//plus$. maths. org/issue37/editorial/index. html $\ovalbox{\tt\small REJECT}$ [13] NTT 2007 [14] http: $//cnic$.jp [15] 1995,5 28 [16] 1995 [17] (2011,2,7-10) [18] S. Y. Del Valle and J. P. Smith, Understanding Complex Systems: Population Interactions Resulting in Disease Transmission [19] B. K. Edwards and M. Ewers, Understanding Complex Systems: Economic Impacts from Catastrophic Events [20] P. D. H. Hines, $O$ B. Hara, E. Cotilla-Sanchez, and C. M. Danforth, Cascading Failures: Extreme Properties of Large Blackouts in the Electric Grid $[21]$ http: $//www$. dwd. de/ [22] R. Graham, D. Knuth, O. Patashnik, Concrete Mathematics: A Foundation for Computer $Science $, Addison-Wesley, 1994