國立虎尾科技大學 |

The Legacy of Felix Klein

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The Legacy of Felix Klein/ edited by Hans-Georg Weigand, William McCallum, Marta Menghini, Michael Neubrand, Gert Schubring.
other author:	Weigand, Hans-Georg.
Description:	VI, 226 p. 104 illus., 53 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematics—Study and teaching . -
Online resource:	https://doi.org/10.1007/978-3-319-99386-7
ISBN:	9783319993867

The Legacy of Felix Klein
The Legacy of Felix Klein[electronic resource] /edited by Hans-Georg Weigand, William McCallum, Marta Menghini, Michael Neubrand, Gert Schubring. - 1st ed. 2019. - VI, 226 p. 104 illus., 53 illus. in color.online resource. - ICME-13 Monographs,2520-8322. - ICME-13 Monographs,.

I 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.

Open Access

This 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.

ISBN: 9783319993867

Standard No.: 10.1007/978-3-319-99386-7doiSubjects--Topical Terms:

1253684
Mathematics—Study and teaching .

LC Class. No.: LC8-6691

Dewey Class. No.: 370

The Legacy of Felix Klein
LDR:04178nam a22004335i 4500 001 1004276
003 DE-He213
005 20200702032549.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783319993867 $9 978-3-319-99386-7
024 7 $a 10.1007/978-3-319-99386-7 $2 doi
035 $a 978-3-319-99386-7
050 4 $a LC8-6691
072 7 $a JNU $2 bicssc
072 7 $a EDU029010 $2 bisacsh
072 7 $a JNU $2 thema
072 7 $a PB $2 thema
082 0 4 $a 370 $2 23
245 1 4 $a The Legacy of Felix Klein $h [electronic resource] / $c edited by Hans-Georg Weigand, William McCallum, Marta Menghini, Michael Neubrand, Gert Schubring.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a VI, 226 p. 104 illus., 53 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a ICME-13 Monographs, $x 2520-8322
505 0 $a I 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.
506 0 $a Open Access
520 $a This 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.
650 0 $a Mathematics—Study and teaching . $3 1253684
650 0 $a Mathematics. $3 527692
650 0 $a History. $3 669538
650 0 $a Teaching. $3 555255
650 1 4 $a Mathematics Education. $3 671509
650 2 4 $a History of Mathematical Sciences. $3 785417
650 2 4 $a Teaching and Teacher Education. $3 783596
700 1 $a Weigand, Hans-Georg. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1265684
700 1 $a McCallum, William. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1297708
700 1 $a Menghini, Marta. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1228256
700 1 $a Neubrand, Michael. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1297709
700 1 $a Schubring, Gert. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 672065
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319993850
776 0 8 $i Printed edition: $z 9783319993874
830 0 $a ICME-13 Monographs, $x 2520-8322 $3 1279029
856 4 0 $u https://doi.org/10.1007/978-3-319-99386-7
912 $a ZDB-2-EDA
912 $a ZDB-2-SXED
912 $a ZDB-2-SOB
950 $a Education (SpringerNature-41171)
950 $a Education (R0) (SpringerNature-43721)