76 20 ( ) (Matteo Ricci ) Clavius 34 (1606) 1607 Clavius (1720) ( ) 4 ( ) \sim... ( 2 (1855) $-$ 6 (1917)) 2 (1866) $-4$ (1868)

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1 $\mathrm{p}_{\mathrm{r}\mathrm{o}\mathrm{g}\mathrm{r}\mathrm{a}}\mathrm{m}\dagger 1$ $-$ $\text{ }$ (Osamu Kota) ( ) (1) (2) (3) 1. 5 (1872) 5 $ \mathrm{e}t\mathrm{l}\mathrm{a}\mathrm{n}\mathrm{g}\mathrm{e}\mathrm{r}$ Klein Dedekind Cantor (pp ) ( ) ( ) ( ) ( $ J$ ) ( )

2 76 20 ( ) (Matteo Ricci ) Clavius 34 (1606) 1607 Clavius (1720) ( ) 4 ( ) \sim... ( 2 (1855) $-$ 6 (1917)) 2 (1866) $-4$ (1868) 3 (187o) $-10$ (1877) (1888) ( ) Association for the Improvement of Geometrical Teaching (

3 $\mathrm{n}$ $\text{ }$ 77 ) [14] 22 ( ) 32 2 ( ) ( ) 7 $\nearrow\backslash$ \nearrow \ - $\text{ }$ ]{}\backslash$ 4. $\sqrt[\backslash. 7 $\text{ }$ 5. $i^{\gamma}$ 7 5- $ $ ; \nearrow \ $\overline{\tau}$ $i7$ $\nearrow\backslash$. 7 $\ovalbox{\tt\small REJECT} \text{ }\grave{\backslash }$. $\sqrt[\backslash $\nearrow\backslash$ 5. ( ]{}\backslash$ ) $ $ 7 7 \nearrow \ $\ovalbox{\tt\small REJECT}=$ \. $\mathrm{b}$ $\mathrm{a}$ $\mathrm{m}\mathrm{p}>=<\mathrm{n}\mathrm{q}$ $\mathrm{p}$ $\mathrm{q}$ ; $\mathrm{m}$ $\mathrm{a}:\mathrm{b}$ $\mathrm{i}\searrow$ $\mathrm{p}:\mathrm{q}--$ $\nearrow\backslash$ $\mathrm{m}\mathrm{a}>=<_{\mathrm{n}\mathrm{b}-}-$ $\text{ }$ (

4 78 ) $\sqrt[\backslash ]{}\backslash$ 7 \yen. \nearrow \ 7 7 $J\mathrm{s}\urcorner$ \ 7 : $(_{\mathrm{p}}4)$ $\sqrt[\backslash ]{}\backslash$. $\backslash$ )$1$ } (p.20) $ $ \nearrow 7 $ $ \ $\sqrt[\backslash ]{}\backslash$ \epsilon ; $\overline{7}^{-}$ $z$ $\nearrow\backslash$ $\sqrt[\backslash ]{}$ ; $\overline{\tau}$ 7 $\overline{\text{ }}$ \epsilon 7 ; 7 7. * 7 $\sqrt[\backslash ]{}$ \ $j^{r}$ 7 $\sqrt[\backslash ]{}$ $ $ $\overline{7}^{-}$ 7. (Pp ) $\text{ }$ 3. ( (1861) $-$ 8 (1933)) 15 Kronecker 20 23

5 79 28 (1895) [14] : - 7 $\backslash \backslash \sim$ *+ + $\neq$ 7 \ J\searrow \ --- $ $ 7 ( 29 ) ( 31 ) ( 31 ) 33 (1900) 35 (1902) $-\nearrow-$ $\sqrt[\backslash ]{}$ 7

6 $i$ $\nearrow\backslash$ 7 $ J$ 7 \yen $j^{r}$ * $ $ 7 ${}^{\backslash }\grave{\sqrt}$ \ 7 $\sqrt[\backslash ]{}\backslash$ $Z$ 7 \nearrow -- 7 \nearrow \ $ $ ; 7 $\overline{\tau}$ $\psi-$ \ $\text{ }$ i 7 [ ] (1911) \nearrow \ --- $ $ $\overline{\mathcal{t}}$ 7 \yen 7 $\sqrt[\backslash ]{}$ $ $ 7 $\overline{7^{-}}$ 7 $\sqrt[\backslash ]{}$ ( ) ( ) ( ) ( ) ( ) 6 (1931) 17 (1942) John Perry $( )$ Glasgow The British Association for the $\mathrm{m}\mathrm{a}\mathrm{t}\mathrm{h}\mathrm{e}\mathrm{m}\mathrm{a}\mathrm{t}\mathrm{i}\mathrm{c}\mathrm{s}^{1}$ $ \mathrm{t}\mathrm{h}\mathrm{e}$ Advancement of Science Teaching of Perry 1850 Belfast Queen s College 1874 Glasgow Sir William Thomson (Lord Kelvin) $l\exists$ 1875 ( 8 ) Thomson

7 ( 12 ) 1882 London Technical College Royal College of Science Perry 1876 ( 9 ) 1900 J.Perry: Proposals for a New School Syllabus Nature 2 Aug The British Association J.PerIv The Teaching of Mathematics Macmillan 1902 [1] [9]. ( ) [15] Perry Perry Perry : 5 6 Perry

8 \mathrm{f}\mathrm{u}\mathrm{n}\mathrm{k}\iota \mathrm{i}\mathrm{o}\mathrm{n}\mathrm{s}\mathrm{b}\mathrm{e}\mathrm{g}\mathrm{r}\mathrm{i}\mathrm{f}\mathrm{f}$ in 82 Perly Eriakim Hastings Moore 1902 American Mathematical Society $7(\mathrm{M}\mathrm{a}\mathrm{r}\mathrm{c}\mathrm{h} On the Foundation of Mathematics (Science 1903)$ $\mathrm{p}\mathrm{p}.401-4]6$; Bull. Amer. Math. Soc. $9(1902/3)$ pp )1 Perry Evolution not Revolutlon $1 Felix Klein Form geometrischer ( ) ( 44 ) Klein Behrendsen und G\"otting. Lehrbuch der Mathematik nach modemen Grunds\"atze (1908) 4 (1915) ( ) 7 (1918) ( ) \tau - 7 ( 7 ) $ $ \tau - 7 ]{}\backslash$ 3. 7 $\overline{\tau}$ 4. 8 (1919) 13 (1924) 7 $\sqrt[\backslash 4

9 83 6 (1931) 20 7 $\overline{\tau}$ $\sqrt[\backslash \nearrow \ 7 ]{}$ \ (1935) (1942) $\text{ }$

10 84 $\vdash$ $\dagger\backslash$

11 85 (pp )

12 86 ( ) $(\mathrm{p}. 119)$ (P. 141) $1$. $2$. ( $=-ff$ )

13 [15] : (pp )

14 (1948) (1947) (II) (II) (Calculus ) $\mathrm{o}.\mathrm{e}$.e.c.

15 89 Jean Dieudonn\ e $\uparrow \mathrm{n}\mathrm{e}\mathrm{w}$ Thinking in School Mathematics ([131 ) Dieudonn\ e $ (\mathrm{b}_{\mathfrak{u}\mathrm{c}}1\mathrm{i}\mathrm{d}$ must $\mathrm{g}\mathrm{o}!^{\mathrm{t}}$ a) 2 3 b) (1 ) c) ( ) d) e) $=_{-}$ $\mathrm{a}\mathrm{a}$ ( 2 3 ) New Math (modemization) New Math 1962 Lars } $\mathrm{o}\mathrm{n}$ Ahlfors 45 the Mathematics Curriculum of the ffigh Schooltl (Math. Teacher Amer. Math. Monthly ) New Math New Math UNESCO [19] 2 (Bourbaki ) (a)

16 $\mathrm{a}$ $\mathrm{b}$ 90 (b) (C) (d) (e) (f) (g) (1960) 38 II ( ) $\subset$ $\supset$ $\cup$ 40 $\{$ $\}$ $\supset$ 4 50 ( ) ( ) ( )

17 91 [1] J. K. Bidwell -R. G. Clason $(\mathrm{e}\mathrm{d}\mathrm{s}.)$ : Readings in the History of Mathematics Education The National Council of the Teachers of Mathematics Washington D.C [2] [ [4] [5] ( ) [6] ( ) [7] $-\mathit{1}\mathit{9}\mathit{7}\mathit{7}$ [8] I IV [9] NCTM: The First Yearbook The National Council of the Teachers of Mathematics Washington D.C.1926 reprinted in [10] [11] [12] [13] OEEC. New Thinking in School Mathematics Paris [14] ( ). [15] [16] [17] [18] [19] UNESCO: New Trends in Mathematics Teaching IV (Prepared by ICMI) Paris ( $-$ 1980)

$\mathrm{v}$ ( )* $1$ $\ovalbox{\tt\small REJECT}2$ \searrow $\mathrm{b}$ $3$ $4$ ( ) [1] $*5$ $\mathrm{a}\mathrm{c}

$$\mathrm{v}$ ( )* $*1$ $\ovalbox{\tt\small REJECT}*2$ \searrow $\mathrm{b}$ $*3$ $*4$ ( ) [1] $*5$ $\mathrm{a}\mathrm{c}$ Title 狩野本綴術算経について ( 数学史の研究 ) Author(s) 小川束 Citation 数理解析研究所講究録 (2004) 1392: 60-68 Issue Date 2004-09 URL http://hdlhandlenet/2433/25859 Right Type Departmental Bulletin Paper Textversion publisher Kyoto