Rathgeb Martin - Mathematik im Prozess.pdf

(4333 KB) Pobierz
%PDF-1.4
%????
1 0 obj
<<
/Filter /Standard
/V 1
/Length 40
/O <5DE1D31DD82380D6E71D9BC1FF826E21AB4EA3009077E020F10A1B99082BC196>
/U <E11BAD2E4331F47C8AD37C706A372C05FF93253E1699A26556066006109162D2>
/R 2
/P -44
>>
endobj
2 0 obj
<<
/Type /Metadata
/Subtype /XML
/Length 730
/Filter /FlateDecode
>>
stream
x??V?n?0??S v?irlCR+?ju?S?Fk?&c??*`d???v?G?+?&?$?*M[-.????????YUP? ????'??]G?{;?PT\?{?y????˜???g??"UVd?P???$?h\l???]?????{?K?????v??ql'???????&?1?p?Z?V~O?g?"z?P>?V /?m?l?LE?,?T?S?i???Dc??C?1????|$>????S?M??R?j??^C??T??=???????K&tx???q??42M?v0??????Z?u?h?iQ^??????C!?????u??h).??)5"??:?`?}?y??#??r/????N???G?Q;Fy,??s??p?e???L?S??\???????W?hc?f????9??i?"2Ul???\O??Rr??)s?'???ZRtc??KCs&???Oq2A????b_?AS?OD<??6n??
$?l?o??is,qE*j???w?$Jg?v???z+??.?mVc?I?p????u;?J????&?a?:??&G???? $??b?V???.S???????????o????l???J~p?[?i~?}6???&tYi????B^s8?
E?G?J?m)?g(ZRPmB??uQL????0????Yo??????{8,??h'??+F?V??}?????
endstream
endobj
3 0 obj
<<
/D [ 4 0 R /XYZ 60.0945 585 0 ]
/S /GoTo
>>
endobj
4 0 obj
<<
/Parent 791 0 R
/Type /Page
/Contents 875 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 874 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
5 0 obj
<<
/D [ 6 0 R /XYZ 60.0953 500 0 ]
/S /GoTo
>>
endobj
6 0 obj
<<
/Parent 880 0 R
/Type /Page
/Contents 895 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 894 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
7 0 obj
<<
/D [ 8 0 R /XYZ 61.7955 280 0 ]
/S /GoTo
>>
endobj
8 0 obj
<<
/Parent 880 0 R
/Type /Page
/Contents 897 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 896 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
9 0 obj
<<
/D [ 10 0 R /XYZ 60.0942 179 0 ]
/S /GoTo
>>
endobj
10 0 obj
<<
/Parent 880 0 R
/Type /Page
/Contents 899 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 898 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
11 0 obj
<<
/D [ 12 0 R /XYZ 61.7954 272 0 ]
/S /GoTo
>>
endobj
12 0 obj
<<
/Parent 880 0 R
/Type /Page
/Contents 901 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 900 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
13 0 obj
<<
/D [ 14 0 R /XYZ 60.0945 549 0 ]
/S /GoTo
>>
endobj
14 0 obj
<<
/Parent 923 0 R
/Type /Page
/Contents 928 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 927 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
15 0 obj
<<
/Parent 16 0 R
/Prev 17 0 R
/Title (Literatur)
/A 13 0 R
>>
endobj
16 0 obj
<<
/First 21 0 R
/Title (1 Mathematische Erkenntnisprozesse: Die Rolle der Intuition)
/A 24 0 R
/Next 48 0 R
/Last 15 0 R
/Parent 221 0 R
/Count 6
>>
endobj
17 0 obj
<<
/Prev 18 0 R
/Title (1.5 Das Kompetenzmodell: Ein wichtiges Symptom der Intuition ist der Ausdruck ihrer semiotischen Funktionen)
/A 11 0 R
/Next 15 0 R
/Parent 16 0 R
>>
endobj
18 0 obj
<<
/Prev 19 0 R
/Title (1.4 Intuition und Wahrnehmung)
/A 9 0 R
/Next 17 0 R
/Parent 16 0 R
>>
endobj
19 0 obj
<<
/Prev 20 0 R
/Title (1.3 Intuition und Erkenntnis)
/A 7 0 R
/Next 18 0 R
/Parent 16 0 R
>>
endobj
20 0 obj
<<
/Prev 21 0 R
/Title (1.2 Illustration der Schwierigkeiten bzgl. der ?unmittelbaren Sicht? in der Geometrie)
/A 5 0 R
/Next 19 0 R
/Parent 16 0 R
>>
endobj
21 0 obj
<<
/Parent 16 0 R
/Next 20 0 R
/Title (1.1 Einleitung)
/A 22 0 R
>>
endobj
22 0 obj
<<
/D [ 23 0 R /XYZ 60.0948 454 0 ]
/S /GoTo
>>
endobj
23 0 obj
<<
/Parent 880 0 R
/Type /Page
/Contents 890 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 889 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
24 0 obj
<<
/D [ 23 0 R /XYZ 60.0945 612 0 ]
/S /GoTo
>>
endobj
25 0 obj
<<
/D [ 26 0 R /XYZ 61.7954 216 0 ]
/S /GoTo
>>
endobj
26 0 obj
<<
/Parent 923 0 R
/Type /Page
/Contents 942 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 941 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
27 0 obj
<<
/D [ 28 0 R /XYZ 60.0945 515 0 ]
/S /GoTo
>>
endobj
28 0 obj
<<
/Parent 923 0 R
/Type /Page
/Contents 950 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 949 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
29 0 obj
<<
/Parent 30 0 R
/Prev 31 0 R
/Title (2.2.3 Die Erfindung metamathematischen Betons)
/A 27 0 R
>>
endobj
30 0 obj
<<
/First 32 0 R
/Prev 49 0 R
/Title (2.2 Zu einem uneingel?sten Ideal)
/A 35 0 R
/Next 40 0 R
/Last 29 0 R
/Parent 48 0 R
/Count 3
>>
endobj
31 0 obj
<<
/Prev 32 0 R
/Title (2.2.2 Der Aufstieg ?ber die moderne Mathematik ? wohin auch immer)
/A 25 0 R
/Next 29 0 R
/Parent 30 0 R
>>
endobj
32 0 obj
<<
/Parent 30 0 R
/Next 31 0 R
/Title (2.2.1 Die vier mathematischen Wissenschaften ? eine Aporie)
/A 33 0 R
>>
endobj
33 0 obj
<<
/D [ 34 0 R /XYZ 61.7958 606 0 ]
/S /GoTo
>>
endobj
34 0 obj
<<
/Parent 923 0 R
/Type /Page
/Contents 937 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 936 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
35 0 obj
<<
/D [ 36 0 R /XYZ 60.0946 242 0 ]
/S /GoTo
>>
endobj
36 0 obj
<<
/Parent 923 0 R
/Type /Page
/Contents 930 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 929 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
37 0 obj
<<
/D [ 38 0 R /XYZ 60.0932 264 0 ]
/S /GoTo
>>
endobj
38 0 obj
<<
/Parent 954 0 R
/Type /Page
/Contents 966 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 965 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
39 0 obj
<<
/Parent 40 0 R
/Prev 41 0 R
/Title (2.3.2 Die euklidischen Postulate)
/A 37 0 R
>>
endobj
40 0 obj
<<
/First 41 0 R
/Prev 30 0 R
/Title (2.3 Euklids Elemente als platonisches Lehrbuch)
/A 44 0 R
/Next 47 0 R
/Last 39 0 R
/Parent 48 0 R
/Count 2
>>
endobj
41 0 obj
<<
/Parent 40 0 R
/Next 39 0 R
/Title (2.3.1 Die euklidischen Definitionen)
/A 42 0 R
>>
endobj
42 0 obj
<<
/D [ 43 0 R /XYZ 60.0949 394 0 ]
/S /GoTo
>>
endobj
43 0 obj
<<
/Parent 954 0 R
/Type /Page
/Contents 961 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 960 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
44 0 obj
<<
/D [ 43 0 R /XYZ 60.0947 608 0 ]
/S /GoTo
>>
endobj
45 0 obj
<<
/D [ 46 0 R /XYZ 60.0947 180 0 ]
/S /GoTo
>>
endobj
46 0 obj
<<
/Parent 954 0 R
/Type /Page
/Contents 971 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 970 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
47 0 obj
<<
/Parent 48 0 R
/Prev 40 0 R
/Title (Literatur)
/A 45 0 R
>>
endobj
48 0 obj
<<
/First 49 0 R
/Prev 16 0 R
/Title (2 ?ber die Mathematik zur Philosophie. Platonischer Erkenntnisweg und moderne Mathematik)
/A 51 0 R
/Next 68 0 R
/Last 47 0 R
/Parent 221 0 R
/Count 9
>>
endobj
49 0 obj
<<
/Parent 48 0 R
/Next 30 0 R
/Title (2.1 Einleitung)
/A 50 0 R
>>
endobj
50 0 obj
<<
/D [ 36 0 R /XYZ 60.0946 440 0 ]
/S /GoTo
>>
endobj
51 0 obj
<<
/D [ 36 0 R /XYZ 60.0945 608 0 ]
/S /GoTo
>>
endobj
52 0 obj
<<
/D [ 53 0 R /XYZ 60.0948 194 0 ]
/S /GoTo
>>
endobj
53 0 obj
<<
/Parent 954 0 R
/Type /Page
/Contents 976 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 975 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
54 0 obj
<<
/D [ 55 0 R /XYZ 60.0946 502 0 ]
/S /GoTo
>>
endobj
55 0 obj
<<
/Parent 954 0 R
/Type /Page
/Contents 986 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 985 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
56 0 obj
<<
/D [ 57 0 R /XYZ 60.0945 608 0 ]
/S /GoTo
>>
endobj
57 0 obj
<<
/Parent 990 0 R
/Type /Page
/Contents 992 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 991 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
58 0 obj
<<
/D [ 59 0 R /XYZ 61.7958 608 0 ]
/S /GoTo
>>
endobj
59 0 obj
<<
/Parent 990 0 R
/Type /Page
/Contents 994 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 993 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
60 0 obj
<<
/D [ 59 0 R /XYZ 61.796 134 0 ]
/S /GoTo
>>
endobj
61 0 obj
<<
/D [ 62 0 R /XYZ 60.0946 170 0 ]
/S /GoTo
>>
endobj
62 0 obj
<<
/Parent 990 0 R
/Type /Page
/Contents 996 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 995 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
63 0 obj
<<
/D [ 64 0 R /XYZ 61.7958 608 0 ]
/S /GoTo
>>
endobj
64 0 obj
<<
/Parent 990 0 R
/Type /Page
/Contents 1004 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 1003 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
65 0 obj
<<
/D [ 66 0 R /XYZ 60.0945 283 0 ]
/S /GoTo
>>
endobj
66 0 obj
<<
/Parent 990 0 R
/Type /Page
/Contents 1006 0 R
/MediaBox [ 0 0 476.22 680.315 ]
/Resources 1005 0 R
/CropBox [ 0 0 476.22 680.315 ]
/Rotate 0
>>
endobj
67 0 obj
<<
/Parent 68 0 R
/Prev 69 0 R
/Title (Literatur)
/A 65 0 R
>>
endobj
68 0 obj
<<
/First 76 0 R
/Prev 48 0 R
/Title (3 Logik, Gesellschaft, Mathematikunterricht)
/A 78 0 R
/Next 115 0 R
/Last 67 0 R
/Parent 221 0 R
/Count 9
>>
endobj
69 0 obj
<<
/Prev 70 0 R
/Title (3.8 Logik, Mathematikunterricht und Gesellschaft)
/A 63 0 R
/Next 67 0 R
/Parent 68 0 R
>>
endobj
70 0 obj
<<
/Prev 71 0 R
/Title (3.7 Die Dialektik der Logik)
/A 61 0 R
/Next 69 0 R
/Parent 68 0 R
>>
endobj
71 0 obj
<<
/Prev 72 0 R
/Title (3.6 Logik und Politik)
/A 60 0 R
/Next 70 0 R
/Parent 68 0 R
>>
endobj
72 0 obj
<<
/Prev 73 0 R
/Title (3.5 Logik und Erkenntnis)
/A 58 0 R
/Next 71 0 R
/Paren...
Zgłoś jeśli naruszono regulamin