tag:blogger.com,1999:blog-56127819057125075362024-02-19T02:57:18.971-08:00ME410 - Matematiche Elementari da un Punto di Vista Superiore - AA 2015-2016Unknownnoreply@blogger.comBlogger1125tag:blogger.com,1999:blog-5612781905712507536.post-74597847883814020832015-12-23T07:12:00.000-08:002015-12-23T02:22:00.707-08:00home page<div dir="ltr" style="text-align: left;" trbidi="on">
<span style="background-color: white; text-align: right;"><span style="color: #783f04;"> </span></span> <span style="background-color: yellow; text-align: right;"><span style="color: #783f04;"><i><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: x-small;">For further information in English, please write to fontana(at)mat.uniroma3.it</span></i></span></span><br />
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<tr><td style="background-color: #ccb660; font-weight: bold; vertical-align: top;"><span class="Apple-style-span" style="font-size: small;">Docente </span></td><td style="background-color: #ccb660; vertical-align: top;"><span class="Apple-style-span" style="font-size: small;">Marco Fontana, Studio #204, fontana(at)mat.uniroma3.it</span></td></tr>
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<span class="Apple-style-span" style="font-size: small;">Orario delle Lezioni </span></div>
</td><td style="background-color: #ccb660; vertical-align: top;"><span style="font-weight: bold;">Ma</span><span class="Apple-style-span" style="font-size: small;">: 14:00-16:00; </span><span style="font-weight: bold;">Gi</span>: 14:00-16:00 , <b>Aula C </b></td></tr>
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<span class="Apple-style-span" style="font-size: small;">Orario di ricevimento</span></div>
</td><td style="background-color: #ccb660; vertical-align: top;"><span style="font-weight: bold;">-- durante il semestre di insegnamento:</span><br />
<span style="font-weight: bold;">Ma</span><span class="Apple-style-span" style="font-size: small;">: 13:00-14:00;</span><b> </b><span style="font-weight: bold;">Gi</span><span class="Apple-style-span" style="font-size: small;">: 13:00-14:00</span><br />
<span class="Apple-style-span" style="font-size: small;">o per appuntamento <span style="font-family: "courier new" , "courier" , monospace;">fontana(at)mat.uniroma3.it</span></span><br />
<span class="Apple-style-span" style="font-size: small;"><b>-- al di fuori del semestre di insegnamento:</b></span><br />
soltanto per appuntamento via email </td></tr>
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<tr><td style="background-color: #ccb660; vertical-align: top;"><span style="font-weight: bold;">Contenuti del Corso</span></td></tr>
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<span style="font-weight: bold;">Programma di massima</span><span class="Apple-style-span" style="font-size: small;">: </span><br />
<span style="background-color: white; text-align: start;"><span style="font-family: "arial" , "helvetica" , sans-serif;">-- Teoria della cardinalità. Alcuni paradossi. Insiemi numerabili. Insiemi infiniti non numerabili. Teoremi di Cantor. Teorema di Cantor-Bernstein.</span></span><br />
<div style="background-color: white; text-align: start;">
<span style="font-family: "arial" , "helvetica" , sans-serif;">-- Anelli booleani. Algebre di Boole, campi di insiemi, spazi topologici booleani e reticoli. Teoremi di rappresentazione di Stone. Applicazioni alla logica simbolica ed ai circuiti elettrici</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">-- Teoria della divisibilità in domini (anelli commutativi unitari, privi di divisori dello zero). Fattorizzazioni di elementi, esistenza di MCD, mcm, domini di Bézout. Fattorizzazioni di ideali. Domini di numeri algebrici.</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">-- Numeri di Fibonacci. <span style="line-height: 20px;">Principali proprietà. Il rapporto </span><i style="line-height: 20px;">F</i><sub style="line-height: 1em;"><i>n</i></sub><span style="line-height: 20px;"> / </span><i style="line-height: 20px;">F</i><sub style="line-height: 1em;"><i>n</i>-1</sub><span style="line-height: 20px;">, ossia tra un termine e il suo precedente nella successione dei numeri di Fibonacci, al tendere di </span><i style="line-height: 20px;">n</i><span style="line-height: 20px;"> all'infinito tende al </span>numero algebrico<span style="line-height: 20px;"> aureo. </span><span style="line-height: 20px;">Relazioni con il triangolo di Tartaglia ed i coefficienti binomiali. </span><span style="line-height: 20px;">Relazioni con il massimo comun divisore e la divisibilità.</span></span></div>
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<span style="line-height: 20px;"><span style="font-family: "arial" , "helvetica" , sans-serif;">-- Terne pitagoriche. Terne pitagoriche primitive e teorema di classificazione. Proprietà geometriche ed aritmetiche.</span></span></div>
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<tr><td style="vertical-align: top;"><span style="font-weight: bold;">Programma finale >> vedere il diario delle lezioni<span style="background-color: red;"></span></span><br />
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<tr><td style="background-color: #ccb660; vertical-align: top;"><span style="font-weight: bold;">Crediti Formativi Universitari </span><span class="Apple-style-span" style="font-size: small;">(</span><span style="font-weight: bold;">CFU</span><span class="Apple-style-span" style="font-size: small;">): 7</span></td><td style="background-color: #ccb660; vertical-align: top;"><span style="font-weight: bold;">Prerequisiti</span>: AL110, GE110<br />
<b>Corsi consigliati:</b> AL210, GE210</td></tr>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgUwW1A0qoUlfrjnHN7Z9ExzX1Zd9F98nyA-dqy2OErqTUKNogk5uP2RRCTIL7xDhrVu9aM6xP9OgiB83RNi9UQsClObFDWho6ob4tbHrztFMYCddhSG2kLp8-0kv01Ki9VGx25Yg0BzBg/s1600/24346.jpeg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="227" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgUwW1A0qoUlfrjnHN7Z9ExzX1Zd9F98nyA-dqy2OErqTUKNogk5uP2RRCTIL7xDhrVu9aM6xP9OgiB83RNi9UQsClObFDWho6ob4tbHrztFMYCddhSG2kLp8-0kv01Ki9VGx25Yg0BzBg/s640/24346.jpeg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="font-size: 13.333333015441895px;"><a class="titleLink" href="http://www.buchfreund.de/Elementarmathematik-vom-hoeheren-Standpunkt-aus-2-Baende-Teil-1-Arithmetik-Algebra-Analysis-Teil-2-Geometrie-Klein-F,49652424-buch" style="background-color: white; color: black; font-family: Arial, Verdana; font-size: 12px; font-weight: bold; text-align: left; text-decoration: none;">Klein, F.: Elementarmathematik vom höheren Standpunkt aus. 2 Bände. </a><br />
<a class="titleLink" href="http://www.buchfreund.de/Elementarmathematik-vom-hoeheren-Standpunkt-aus-2-Baende-Teil-1-Arithmetik-Algebra-Analysis-Teil-2-Geometrie-Klein-F,49652424-buch" style="background-color: white; color: black; font-family: Arial, Verdana; font-size: 12px; font-weight: bold; text-align: left; text-decoration: none;">Teil 1: Arithmetik, Algebra, Analysis, </a><br />
<a class="titleLink" href="http://www.buchfreund.de/Elementarmathematik-vom-hoeheren-Standpunkt-aus-2-Baende-Teil-1-Arithmetik-Algebra-Analysis-Teil-2-Geometrie-Klein-F,49652424-buch" style="background-color: white; color: black; font-family: Arial, Verdana; font-size: 12px; font-weight: bold; text-align: left; text-decoration: none;">Teil 2: Geometrie.</a><br />
<span class="small" style="background-color: white; font-family: "arial" , "verdana"; font-size: 11px; text-align: left;">2</span><span style="background-color: white; font-family: "arial" , "verdana"; font-size: 11px; text-align: left;">. Aufl. Ausgearbeitet von E. Hellinger. Leipzig: Teubner, 1911+1914.</span></td></tr>
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<span style="color: #660000; font-family: "arial" , "helvetica" , sans-serif;">« Le Matematiche elementari da un punto di vista superiore » sono state introdotte da F. Klein in Germania prima e poi in Italia dalle associazioni professionali riguardanti l’insegnamento della Matematica (Mathesis ed Unione Matematica Italiana, dai primi anni del ‘900).</span></div>
<span style="color: #660000; font-family: "arial" , "helvetica" , sans-serif;"><span style="background-color: white; line-height: 19.200000762939453px; text-align: justify;">Federigo Enriques e Guido Castelnuovo rivolsero un notevole interesse ai temi dell'insegnamento e della didattica della matematica. </span><span style="background-color: white; line-height: 19.200000762939453px; text-align: justify;">A partire dagli inizi del 1900,</span><span style="background-color: white; line-height: 19.200000762939453px; text-align: justify;"> </span><span style="background-color: white; line-height: 19.200000762939453px; text-align: justify;">F. Enriques, in particolare, diffuse in Italia lo spirito degli studi di "matematica elementare dal punto di vista superiore" inaugurati da Klein, a cui diede fondamentali contributi, apprezzati in Germania dallo stesso Klein ed in molti altri paesi.<br />Enriques fu poi autore --anche in collaborazione con Ugo Amaldi, allievo e poi collaboratore di Levi-Civita, oltre che di Enriques-- di numerosi celebri manuali per l'insegnamento della matematica nelle scuole secondarie, alcuni dei quali sono ancor oggi in uso.</span></span></li>
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<li style="text-align: justify;"><span style="color: #660000; font-family: "arial" , "helvetica" , sans-serif;">Il presente corso ha l’obiettivo di rivisitare, in modo critico e con un approccio unitario, nozioni e risultati importanti della matematica classica (principalmente di aritmetica, ed algebra) che occupano un posto centrale nell’insegnamento della matematica nella scuola secondaria. In tal modo, esso intende contribuire alla formazione degli insegnanti, anche attraverso la riflessione sugli aspetti storici, didattici e culturali.</span></li>
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<span style="color: #660000; font-family: "arial" , "helvetica" , sans-serif; text-align: center;">Il corso è rivolto principalmente --ma </span><b style="color: #660000; font-family: Arial, Helvetica, sans-serif; text-align: center;">non</b><span style="color: #660000; font-family: "arial" , "helvetica" , sans-serif; text-align: center;"> esclusivamente-- agli studenti dell’indirizzo "Matematica per l’Educazione". </span></div>
<span style="color: #660000; font-family: "arial" , "helvetica" , sans-serif;"><div style="text-align: justify;">
<span style="text-align: center;">Il corso è indicato anche agli studenti della laurea triennale o magistrale che intendano approfondire alcune tematiche di algebra non contenute nei corsi obbligatori di tale disciplina.</span></div>
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<span style="color: #660000; font-family: "arial" , "helvetica" , sans-serif; font-size: x-small;"><a href="http://komplexify.com/blog/2014/04/30/the-fable-of-the-hilbert-hotel-part-1/" target="_blank"><i>aspetti contro-intuitivi dell'infinito </i>1</a> - <a href="http://komplexify.com/blog/2014/05/14/the-fable-of-the-hilbert-hotel-part-2/" target="_blank">2</a> - <a href="http://komplexify.com/blog/2014/06/11/the-fable-of-the-hilbert-hotel-part-3/" target="_blank">3</a></span></div>
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<tr><td style="background-color: #ccb660; vertical-align: top;"><span style="font-weight: bold;">Bigliografia</span></td></tr>
<tr><td style="vertical-align: top;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-weight: bold;">Testi consigliati</span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span><span style="font-family: "arial" , "helvetica" , sans-serif;">-- Steven <span style="font-size: small;"><span style="background-color: white;">Givant</span></span> - Paul <span style="font-size: small;"><span style="background-color: white;">Halmos, </span></span><span class="title"><span style="background-color: white;">Introduction to <span class="searchHighlight">Boolean algebras</span>.</span></span><span style="background-color: white;"> </span><span style="font-size: small;"><span style="background-color: white;">Undergraduate Texts in Mathematics.</span></span><span style="background-color: white;"></span><em style="background-color: white;">Springer, New York,</em><span style="background-color: white;"> 2009, xiv+574 pp.</span></span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="background-color: white;"><br /></span></span><span style="font-family: "arial" , "helvetica" , sans-serif;"><span class="Apple-style-span" style="font-size: small;">-- </span><span style="background-color: white;"> </span>Paul R. Halmos, <span class="title"><span style="background-color: white;">Lectures on </span><span class="searchHighlight" style="background-color: white;">Boolean algebras</span><span style="background-color: white;">.</span></span><span style="background-color: white;"> </span>Van Nostrand Mathematical Studies, No. 1,<span style="background-color: white;"> </span><em style="background-color: white;">D. Van Nostrand Co., Inc., Princeton, N.J.</em><span style="background-color: white;"> 1963, v+147 pp.</span></span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="background-color: white;"><br /></span></span><span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="background-color: white;">-- </span></span><span style="font-family: "arial" , "helvetica" , sans-serif;">Mario Livio, </span><span style="font-family: "arial" , "helvetica" , sans-serif;">The Golden Ratio: The Story of PHI, the World's Most Astonishing Number, </span><span style="font-family: "arial" , "helvetica" , sans-serif;"><i>Broadway Books</i>, <i>First Trade Paperback Edition edition 2003</i>, 294 pp.</span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="background-color: white;"><br /></span></span><span style="background-color: white; font-family: "arial" , "helvetica" , sans-serif;">-- Scott Olsen, The Golden Section: Nature's Greatest Secret, Wooden Books, </span><span style="font-family: "arial" , "helvetica" , sans-serif; line-height: 20px;"><i>Walker & Company</i>, 2006, </span><span style="background-color: white; font-family: "arial" , "helvetica" , sans-serif;">64 pp.</span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="background-color: white;"><br /></span></span><span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="background-color: white;">-- Ira J. Papick, Algebra Connections: Mathematics for middle school teachers, </span><span style="background-color: white; line-height: 16px;"><i>Prentice Hall, 2005.</i></span></span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="background-color: white; line-height: 16px;"><i><br /></i></span></span><span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="background-color: white; line-height: 16px;">-- </span></span><span style="font-family: "arial" , "helvetica" , sans-serif; line-height: 16px;">Alfred S. Posamentier, </span><span style="font-family: "arial" , "helvetica" , sans-serif; line-height: 16px;">The Pythagorean Theorem: The Story of Its Power and Beauty, </span><span style="font-family: "arial" , "helvetica" , sans-serif; line-height: 16px;"><i>Prometheus Books</i>, 2010, 310</span><span style="font-family: "arial" , "helvetica" , sans-serif; line-height: 16px;"> pp.</span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="background-color: white;"><br /></span></span><span style="font-family: "arial" , "helvetica" , sans-serif;">-- Hans Rademacher, <span class="title" style="background-color: white;">Higher mathematics from an elementary point of view.</span><span style="background-color: white;"> Edited by D. Goldfeld. With notes by G. Crane. </span><em style="background-color: white;">Birkhäuser, Boston, Mass.,</em><span style="background-color: white;"><span style="font-size: small;"> </span>1983 ii+138 pp.</span></span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="background-color: white;"><br /></span></span><span style="font-family: "arial" , "helvetica" , sans-serif;">-- David Sharpe, <span class="title" style="background-color: white;">Rings and factorization.</span><span style="background-color: white;"> </span><em style="background-color: white;">Cambridge University Press, Cambridge,</em><span style="background-color: white;"><span style="font-size: small;"> </span>1987. x+111 pp.</span></span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="background-color: white;"><br /></span></span><span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="background-color: white;">-- J. Eldon Whitesitt, Boolean algebra and ist applications, <i>Dover Publications Inc., New York, 1995</i> (previously published by <i>Addison-Wesley, Reading Ma, 1961</i>).</span></span><br />
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="background-color: white;"><br /></span></span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1V7d9hsmWxtBfwYsd8RZ6AvmtzMOWCuc6YmnLXaXwYviNGeR2OmnW6cPP7W2J68ASV05J-vQx1ADmrC0iNA149FVDQsgB6tHG3LvkoObjTogv-h-jXygvX8KGi2cPV0ftArkx0EmvU44/s1600/2_workers_005.gif" imageanchor="1" style="font-weight: bold; margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1V7d9hsmWxtBfwYsd8RZ6AvmtzMOWCuc6YmnLXaXwYviNGeR2OmnW6cPP7W2J68ASV05J-vQx1ADmrC0iNA149FVDQsgB6tHG3LvkoObjTogv-h-jXygvX8KGi2cPV0ftArkx0EmvU44/s1600/2_workers_005.gif" /></a><br />
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<span style="font-weight: bold;"><span class="Apple-style-span" style="font-family: "arial" , "helvetica" , sans-serif;">Ulteriori rifermenti bibliografici </span></span><br />
<span style="font-weight: bold;"><span class="Apple-style-span" style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span></span><span style="font-family: "arial" , "helvetica" , sans-serif;">-- M. Fontana - S. Gabelli, Insiemi, numeri e polinomi. Primo ciclo di lezioni del corso di Algebra con esercizi svolti. CISU, Roma (1989).</span><br />
<span class="Apple-style-span" style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span><span class="Apple-style-span" style="font-family: "arial" , "helvetica" , sans-serif;">-- Livia Giacardi: </span><span style="font-family: "arial" , "helvetica" , sans-serif;">I matematici e la formazione </span><span style="font-family: "arial" , "helvetica" , sans-serif;">degli insegnanti in Italia </span><span style="font-family: "arial" , "helvetica" , sans-serif;">nel primo Novecento (slides di una conferenza del 2012).</span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><a href="http://crf.uniroma2.it/wp-content/uploads/2012/05/Giacardi.pdf">http://crf.uniroma2.it/wp-content/uploads/2012/05/Giacardi.pdf</a></span><br />
<span style="font-weight: bold;"><span class="Apple-style-span" style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span></span><span style="font-weight: bold;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1V7d9hsmWxtBfwYsd8RZ6AvmtzMOWCuc6YmnLXaXwYviNGeR2OmnW6cPP7W2J68ASV05J-vQx1ADmrC0iNA149FVDQsgB6tHG3LvkoObjTogv-h-jXygvX8KGi2cPV0ftArkx0EmvU44/s1600/2_workers_005.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1V7d9hsmWxtBfwYsd8RZ6AvmtzMOWCuc6YmnLXaXwYviNGeR2OmnW6cPP7W2J68ASV05J-vQx1ADmrC0iNA149FVDQsgB6tHG3LvkoObjTogv-h-jXygvX8KGi2cPV0ftArkx0EmvU44/s1600/2_workers_005.gif" /></a><span class="Apple-style-span" style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span></span><br />
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<span lang="EN-GB"><span class="Apple-style-span" style="font-family: "arial" , "helvetica" , sans-serif;"><span class="Apple-style-span" style="font-size: small;">-- </span></span><span lang="EN-GB"><span class="Apple-style-span" style="font-family: "arial" , "helvetica" , sans-serif;"><span class="Apple-style-span" style="font-size: small;">B.L.</span></span></span></span><span style="font-family: "arial" , "helvetica" , sans-serif;"> van der Waerden, A History of Algebra, Springer (1990)</span><br />
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<span lang="EN-GB"><span class="Apple-style-span" style="font-family: "arial" , "helvetica" , sans-serif;"><span class="Apple-style-span" style="font-size: small;">--</span></span><span class="Apple-style-span" style="font-family: "arial" , "helvetica" , sans-serif;"><span class="Apple-style-span" style="font-size: small;"> </span></span></span><span lang="EN-GB"><span class="Apple-style-span" style="font-family: "arial" , "helvetica" , sans-serif;">V.S. Varadarajan, Algebra in Ancient and Modern Times, American Mathematical Society (1998)</span></span><br />
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<span lang="EN-GB"><span class="Apple-style-span" style="font-family: "arial" , "helvetica" , sans-serif;"><span class="Apple-style-span" style="font-family: "arial";"></span></span></span></div>
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<span class="Apple-style-span" style="font-weight: bold;">Alcune risorse didattiche disponibili on-line</span></div>
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<span class="Apple-style-span" style="font-weight: bold;"><span class="Apple-style-span" style="font-weight: normal;"><span class="Apple-style-span" style="font-size: small;"><b><span class="Apple-style-span" style="font-weight: normal;">---- Wikipedia </span></b></span></span><a href="http://en.wikipedia.org/wiki/Elementary_mathematics"><span class="Apple-style-span" style="color: #660000;"><span class="Apple-style-span" style="font-size: small;"><span class="Apple-style-span" style="font-weight: normal;"><span class="Apple-style-span" style="background-color: #f1c232;"> <i>eng</i> </span></span></span></span></a><span class="Apple-style-span" style="font-size: small;"><span class="Apple-style-span" style="font-weight: normal;"> </span></span><span class="Apple-style-span" style="color: #660000;"><span class="Apple-style-span" style="font-size: small;"><a href="http://it.wikipedia.org/wiki/Didattica_della_matematica"><span class="Apple-style-span" style="font-weight: normal;"><span class="Apple-style-span" style="background-color: #6fa8dc;"> <i>ita</i> </span></span></a></span></span></span></div>
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<span class="Apple-style-span" style="font-weight: bold;"><span class="Apple-style-span" style="background-color: #fce5cd;"><span class="Apple-style-span" style="font-weight: normal;"><span class="Apple-style-span" style="color: #660000;"><span class="Apple-style-span" style="font-size: small;"></span></span></span></span></span><span class="Apple-style-span" style="font-weight: bold;"><span lang="EN-GB"><span class="Apple-style-span" style="font-weight: normal;"><span class="Apple-style-span" style="color: #660000;"><span class="Apple-style-span" style="font-size: small;"><i>---- </i><a href="http://www-history.mcs.st-and.ac.uk/BiogIndex.html"><i>Biografie di matematici</i></a><i>: </i></span></span></span></span><span class="Apple-style-span" style="font-weight: normal;"><span class="Apple-style-span" style="color: #660000;"><span class="Apple-style-span" style="font-size: small;"><a href="http://www-history.mcs.st-and.ac.uk/"><i>The MacTutor History of Mathematics archive</i></a></span></span></span></span></div>
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<span class="Apple-style-span" style="font-weight: bold;"><span class="Apple-style-span" style="font-weight: normal;"><a href="http://www-history.mcs.st-and.ac.uk/"></a></span></span><span class="Apple-style-span" style="font-weight: bold;"><span class="Apple-style-span" style="font-weight: normal;">---- </span></span><a href="http://en.wikiversity.org/wiki/School:Mathematics#Course_categories"><span class="Apple-style-span" style="font-weight: bold;"><span class="Apple-style-span" style="font-weight: normal;">WikiVersity </span></span><i>Mathematics</i></a></div>
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<span class="Apple-style-span" style="font-weight: bold;"><span class="Apple-style-span" style="font-weight: normal;"><i><span class="Apple-style-span" style="font-size: small;"></span></i></span></span><span class="Apple-style-span" style="font-weight: bold;"><span class="Apple-style-span" style="color: #660000;"><span class="Apple-style-span" style="font-weight: normal;"><span class="Apple-style-span" style="font-size: small;"><i>---- </i><i><a href="http://mathworld.wolfram.com/classroom/">Wolfram MathWorld</a> <a href="http://www.wolframalpha.com/examples/Math.html">Wolfram Alpha</a></i></span></span></span></span></div>
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<span class="Apple-style-span" style="font-weight: bold;"><span class="Apple-style-span" style="color: #660000;"><span class="Apple-style-span" style="font-weight: normal;"><a href="http://mathworld.wolfram.com/AbstractAlgebra.html"></a></span></span></span><span class="Apple-style-span" style="font-weight: bold;"><span class="Apple-style-span" style="font-weight: normal;"><span class="Apple-style-span" style="font-size: small;">---- youtube, </span></span><span class="Apple-style-span" style="font-weight: normal;"><span class="Apple-style-span" style="color: #660000;"><span class="Apple-style-span" style="font-size: small;"><a href="http://www.youtube.com/results?search_query=math+education+in+america&oq=math+education&gs_l=youtube.1.3.0i19l4.477.5723.0.10203.14.8.0.6.6.1.965.2922.1j2j1j2j0j1j1.8.0...0.0...1ac.agjywj0pAz8"><i>video series on "math education"</i></a></span></span></span></span></div>
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<span class="Apple-style-span" style="font-size: small;">---- California State University, San Bernardino </span><span class="Apple-style-span" style="font-size: small;"> </span></div>
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<span class="Apple-style-span" style="font-weight: bold;"><span class="Apple-style-span" style="font-weight: normal;"><span class="Apple-style-span" style="font-size: small;"> > </span><span class="Apple-style-span" style="font-size: small;"><a href="http://www.math.csusb.edu/notes/cgi/contents.cgi"><i>Notes in set theory, logic, methods of proof, relations, binary operations</i></a></span></span><span class="Apple-style-span" style="font-weight: normal;"><span class="Apple-style-span" style="font-size: small;"> </span></span></span></div>
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<span class="Apple-style-span" style="font-weight: bold;"><span class="Apple-style-span" style="font-weight: normal;"><span class="Apple-style-span" style="font-size: small;"> > </span><span class="Apple-style-span" style="font-size: small;"><a href="http://www.math.csusb.edu/notes/quizzes/tablequiz/tablepractice.html"><i>Esercizi interattivi sulle tavole di verità</i></a></span></span><span class="Apple-style-span" style="font-weight: normal;"> </span></span></div>
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<tr><td style="background-color: #ccb666; vertical-align: top;"><span style="font-weight: bold;">Valutazione</span></td></tr>
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<li style="text-align: justify;"><span style="font-weight: bold;"><span class="Apple-style-span" style="font-size: small;">Valutazione in itinere (esoneri) </span><span class="Apple-style-span" style="font-weight: normal;"><span class="Apple-style-span" style="font-size: small;">La valutazione del profitto verrà effettuata di preferenza durante il semestre. Gli studenti frequentanti saranno invitati a svolgere periodicamente esercizi per casa. Inoltre sono previste una prova scritta a metà semestre ed una prova scritta a fine semestre. Gli studenti che hanno sostenuto con esito positivo, nel corso del semestre, le prove di valutazione parziale (prove scritte) accedono direttamente al colloquio di verbalizzazione del voto proposto dal docente, da effettuarsi esclusivamente durante la I Sessione di esame (Appello A o B).</span></span></span></li>
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<li style="text-align: justify;"><span style="font-weight: bold;"><span class="Apple-style-span" style="font-size: small;">Esame finale </span><span class="Apple-style-span" style="font-weight: normal;"><span class="Apple-style-span" style="font-size: small;">Per tutti gli studenti che non si avvalgono della possibilità della valutazione del profitto durante il corso, l'esame finale consiste in una prova scritta (contenente esercizi e questioni teoriche) sul programma complessivo del corso.<br /><br /><div style="text-align: center;">
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<tr><td style="background-color: #ccb666; vertical-align: top;"><span style="font-weight: bold;"><span style="background-color: #ccb666;">Calendario delle Prove di Esame </span><span style="background-color: red;"><span style="color: white;"> NEW ! </span></span></span></td></tr>
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<li style="font-weight: bold;"><span class="Apple-style-span" style="font-size: small;">Appello A: 15 Gennaio 2016, </span>ore 10</li>
<li style="font-weight: bold;"><span class="Apple-style-span" style="font-size: small;">Appello B: 12 </span>Febbraio 2016, ore 10</li>
<li style="font-weight: bold;"><span class="Apple-style-span" style="font-size: small;">Appello C: 8 </span>Giugno 2016, ore 10</li>
<li style="font-weight: bold;"><span class="Apple-style-span" style="font-size: small;">Appello X: 8 Settembre 2016, ore 10</span></li>
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Unknownnoreply@blogger.comRoma, Italia41.8929163 12.482519899999943-4.1827046999999951 -70.134667600000057 87.968537300000008 95.099707399999943