LEADER 05248 am 22006613u 450 001 9910337753903321 005 20200702032549.0 010 $a3-319-99386-0 024 7 $a10.1007/978-3-319-99386-7 035 $a(CKB)4100000007205029 035 $a(DE-He213)978-3-319-99386-7 035 $a(MiAaPQ)EBC5614174 035 $a(Au-PeEL)EBL5614174 035 $a(CaPaEBR)ebr11642131 035 $a(OCoLC)1108571682 035 $a(EXLCZ)994100000007205029 100 $a20181211d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Legacy of Felix Klein$b[electronic resource] /$fedited by Hans-Georg Weigand, William McCallum, Marta Menghini, Michael Neubrand, Gert Schubring 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (VI, 226 p. 104 illus., 53 illus. in color.) 225 1 $aICME-13 Monographs,$x2520-8322 311 $a3-319-99385-2 327 $aI Introduction -- Felix Klein ? Mathematician, Academic Organizer, Educational Reformer -- What is or what might be the legacy of Felix Klein? -- II . Functional Thinking -- Functional thinking: The history of a didactical principle -- Teachers? meanings for function and function notation in south korea and the United States -- Is the real number line something to be built, or occupied? -- Coherence and fidelity of the function concept in school mathematics -- Strand III: Intuitive thinking and visualization -- Aspects of ?Anschauung? in the work of Felix Klein -- The road of the german book praktische analysis into japanese secondary school mathematics textbooks (1943-1944) -- An influence of the felix klein movement on the far east -- Felix Klein?s mathematical heritage seen through 3D models -- The modernity of the meraner lehrplan for teaching geometry today in grades 10-11: Exploiting the power of dynamic geometry systems -- IV. Elementary mathematics from a higher standpoint?conception, realization, and impact on teacher education -- Klein's conception of ?'Elementary Mathematics from a Higher Standpoint' -- Precision mathematics and approximation mathematics: the conceptual and educational role of their comparison -- Examples of Klein?s practice elementary mathematics from a higher standpoint: volume I -- A double discontinuity and a triple approach: felix klein?s perspective on mathematics teacher education. 330 $aThis open access book provides an overview of Felix Klein?s ideas, highlighting developments in university teaching and school mathematics related to Klein?s thoughts, stemming from the last century. It discusses the meaning, importance and the legacy of Klein?s ideas today and in the future, within an international, global context. Presenting extended versions of the talks at the Thematic Afternoon at ICME-13, the book shows that many of Klein?s ideas can be reinterpreted in the context of the current situation, and offers tips and advice for dealing with current problems in teacher education and teaching mathematics in secondary schools. It proves that old ideas are timeless, but that it takes competent, committed and assertive individuals to bring these ideas to life. Throughout his professional life, Felix Klein emphasised the importance of reflecting upon mathematics teaching and learning from both a mathematical and a psychological or educational point of view. He also strongly promoted the modernisation of mathematics in the classroom, and developed ideas on university lectures for student teachers, which he later consolidated at the beginning of the last century in the three books on elementary mathematics from a higher standpoint. 410 0$aICME-13 Monographs,$x2520-8322 606 $aMathematics?Study and teaching  606 $aMathematics 606 $aHistory 606 $aTeaching 606 $aMathematics Education$3https://scigraph.springernature.com/ontologies/product-market-codes/O25000 606 $aHistory of Mathematical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M23009 606 $aTeaching and Teacher Education$3https://scigraph.springernature.com/ontologies/product-market-codes/O31000 615 0$aMathematics?Study and teaching . 615 0$aMathematics. 615 0$aHistory. 615 0$aTeaching. 615 14$aMathematics Education. 615 24$aHistory of Mathematical Sciences. 615 24$aTeaching and Teacher Education. 676 $a370 702 $aWeigand$b Hans-Georg$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMcCallum$b William$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMenghini$b Marta$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aNeubrand$b Michael$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSchubring$b Gert$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910337753903321 996 $aThe Legacy of Felix Klein$92234749 997 $aUNINA