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  • 1
    UID:
    almahu_BV045501342
    Format: 1 Online-Ressource (vi, 226 Seiten) : , Illustrationen, Diagramme.
    ISBN: 978-3-319-99386-7
    Series Statement: ICME-13 monographs
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-319-99385-0
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-319-99387-4
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: 1849-1925 Klein, Felix ; Mathematikunterricht ; Konferenzschrift ; Konferenzschrift
    URL: Volltext  (kostenfrei)
    URL: Volltext  (kostenfrei)
    URL: Volltext  (kostenfrei)
    URL: Volltext  (kostenfrei)
    Author information: Neubrand, Michael, 1947-
    Author information: Weigand, Hans-Georg, 1952-
    Author information: Schubring, Gert, 1944-
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    UID:
    b3kat_BV045439753
    Format: 1 Online-Ressource , Illustrationen
    ISBN: 9783319993867
    Series Statement: ICME-13 Monographs
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-319-99385-0
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Klein, Felix 1849-1925 ; Mathematikunterricht ; Konferenzschrift
    URL: Volltext  (kostenfrei)
    Library Location Call Number Volume/Issue/Year Availability
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  • 3
    Online Resource
    Online Resource
    Cham :Springer International Publishing AG,
    UID:
    almahu_9949602266402882
    Format: 1 online resource (225 pages)
    Edition: 1st ed.
    ISBN: 9783319993867
    Series Statement: ICME-13 Monographs
    Note: Intro -- Contents -- Introduction -- 1 Felix Klein-Mathematician, Academic Organizer, Educational Reformer -- 1.1 Felix Klein's Upbringing, Education, and Academic Career -- 1.2 The Characteristics of Klein's Methods -- 1.3 Educational Reform and Its Institutional and International Scope -- Bibliography -- 2 What Is or What Might Be the Legacy of Felix Klein? -- 2.1 Felix Klein as a Sensitised Mathematician -- 2.2 Felix Klein Recognized Problems and Described Them in Detail -- 2.3 Felix Klein Thought About Solutions for Problems -- 2.4 Felix Klein Suggested Changes not Only in General, but also in a Specific Way -- 2.5 Felix Klein Asked for Change Not Only on the Organizational Level, but He also Suggested Changes in the Way Mathematics Should Be Taught at University -- 2.6 Felix Klein Was-Like Many of Us-(also) Driven by External Requests, but When He Was Involved in an Activity, He Was Extensively Committed -- 2.7 Felix Klein Permanently Critically Considered and Reconsidered His Own Ideas -- 2.8 Final Remark -- References -- Functional Thinking -- 3 Functional Thinking: The History of a Didactical Principle -- 3.1 The Demand for Functional Thinking in the Meraner Lehrplan, 1905 -- 3.2 Education in the Habit of Functional Thinking in Arithmetic, Algebra, and Geometry -- 3.2.1 Functional Dependencies in Arithmetic and Algebra Teaching -- 3.2.2 The Principle of Movement and Functional Thinking in Geometry -- 3.3 Functional Thinking and Mental Representations in Differential Calculus -- 3.4 Conclusion -- Appendix -- References -- 4 Teachers' Meanings for Function and Function Notation in South Korea and the United States -- 4.1 Introduction -- 4.2 A Focus on Meanings Instead of on Knowledge -- 4.3 Our Perspective on Productive Meanings for Function -- 4.4 Method -- 4.5 Results -- 4.6 Discussion -- References. , 5 Is the Real Number Line Something to Be Built, or Occupied? -- 5.1 Introduction -- 5.2 The Construction Narrative of the Real Number Line -- 5.3 Difficulties with the Construction Narrative -- 5.3.1 The Whole Number/Fraction Divide -- 5.3.2 The Continuum Gap -- 5.4 The Occupation Narrative of the Real Number Line -- 5.5 Quantity, Unit, Measure, Number -- 5.6 Who Was Vasily Davydov? -- 5.7 Conclusion: What Is Achieved by the Occupation Narrative of the Number Line? -- References -- 6 Coherence and Fidelity of the Function Concept in School Mathematics -- 6.1 Introduction -- 6.2 The Definition of Function in School Mathematics -- 6.3 Probing the Image of Function in the Internet Brain -- 6.3.1 Mathematical Coherence -- 6.3.2 Mathematical Fidelity -- 6.4 Concluding Thoughts -- References -- Intuitive Thinking and Visualization -- 7 Aspects of "Anschauung" in the Work of Felix Klein -- 7.1 Core Demands for Modernizing the Teaching of Mathematics at Secondary Schools -- 7.2 Intuition in Mathematics Teaching in Higher Education -- 7.3 Intuition in Felix Klein's Lectures -- 7.3.1 Sensate, Idealizing and Abstract Intuition -- 7.3.2 Intuition and the Function Concept -- 7.3.3 Proof Through Intuition -- 7.4 Intuition and the Genetic Method -- 7.5 Conclusion -- References -- 8 Introducing History of Mathematics Education Through Its Actors: Peter Treutlein's Intuitive Geometry -- 8.1 Introduction -- 8.2 History of Mathematics in Mathematics Education -- 8.3 Treutlein's Models and Textbooks in the University Education of Mathematics Teachers -- References -- 9 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 -- 9.1 Background and Objective of This Paper -- 9.2 The Influence of Klein on the Far East: The Case of Japan. , 9.3 Integration of Algebra and Geometry with Mechanical Instruments -- 9.4 Embedded German Praktische Analysis in the Japanese Textbook for Cluster I (1943) -- 9.5 The Influence of Klein: Germany or Origins from UK and US? -- 9.6 Conclusion -- References -- 10 Felix Klein's Mathematical Heritage Seen Through 3D Models -- 10.1 Introduction -- 10.1.1 Klein's Vision for Visualisations -- 10.1.2 Four Threads of Klein's Vision for Teaching and Learning Mathematics -- 10.2 Building on Klein's Key Ideas in Today's Classrooms and Seminars -- 10.2.1 Interplay Between Abstraction and Visualisation -- 10.2.2 Discovering the Nature of Objects with the Help of Small Changes -- 10.2.3 Linking Functional Thinking with Geometry -- 10.2.4 The Characterization of Geometries -- 10.3 Klein's Ideas on Visualisation and Today's Resources for the Mathematics Classroom as an Introduction to Research Activities -- References -- 11 The Modernity of the Meraner Lehrplan for Teaching Geometry Today in Grades 10-11: Exploiting the Power of Dynamic Geometry Systems -- 11.1 Introduction -- 11.2 Teaching Space Geometry in School -- 11.3 The Content of the Activity -- 11.4 Activities -- 11.5 Conclusions -- References -- Elementary Mathematics from a Higher Standpoint-Conception, Realization, and Impact on Teacher Education -- 12 Klein's Conception of 'Elementary Mathematics from a Higher Standpoint' -- 12.1 Introduction -- 12.2 A Differing View of Elementary Mathematics -- 12.3 Differing Views of the Relation Between Academic Mathematics and School Mathematics -- 12.4 Implications of the Term "Advanced" -- 12.5 The Concept of Elements -- 12.6 Klein's Practice -- 12.7 Modernism and the Challenge by Set Theory -- 12.8 Concluding Remarks -- Bibliography -- 13 Precision Mathematics and Approximation Mathematics: The Conceptual and Educational Role of Their Comparison. , 13.1 The Lecture Course of Felix Klein -- 13.2 First Example: Empirical and Idealised Curve -- 13.3 Second Example: Iterated Inversion with Respect to Three Touching Circles -- 13.4 Third Example: Gestalt Relations of Curves -- 13.5 Conclusion -- References -- 14 Examples of Klein's Practice Elementary Mathematics from a Higher Standpoint: Volume I -- 14.1 Introduction -- 14.2 Klein's Didactic Perspective -- 14.3 Klein's Historical Perspective -- 14.4 Klein's Mathematical Perspective -- 14.5 Higher Mathematics from an Elementary Standpoint? -- 14.6 A Higher Standpoint: First Conclusions -- References -- 15 A Double Discontinuity and a Triple Approach: Felix Klein's Perspective on Mathematics Teacher Education -- 15.1 A Double Discontinuity -- 15.2 A Triple Approach -- 15.2.1 Arithmetic, Algebra, Analysis -- 15.2.2 Geometry -- 15.2.3 Precision Mathematics and Approximation Mathematics -- 15.3 Klein and Mathematics Teacher Education -- References.
    Additional Edition: Print version: Weigand, Hans-Georg The Legacy of Felix Klein Cham : Springer International Publishing AG,c2018 ISBN 9783319993850
    Language: English
    Keywords: Electronic books.
    Library Location Call Number Volume/Issue/Year Availability
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  • 4
    UID:
    almahu_BV046084241
    Format: 1 Online-Ressource (xxvi, 437 Seiten) : , Illustrationen, Diagramme.
    ISBN: 978-3-030-14808-9
    Series Statement: International studies in the history of mathematics and its teaching
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-030-14807-2
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-030-14809-6
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-030-14810-2
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: 1746-1818 Monge, Gaspard ; Mathematikunterricht ; Geometrie
    URL: Volltext  (URL des Erstveröffentlichers)
    Author information: Barbin, Évelyne 1949-
    Author information: Volkert, Klaus.
    Library Location Call Number Volume/Issue/Year Availability
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  • 5
    UID:
    almahu_BV047062865
    Format: xxvi, 437 Seiten : , Illustrationen, Diagramme.
    ISBN: 978-3-030-14807-2
    Series Statement: International studies in the history of mathematics and its teaching
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-030-14808-9
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: 1746-1818 Monge, Gaspard ; Mathematikunterricht ; Geometrie
    Author information: Barbin, Évelyne, 1949-
    Author information: Volkert, Klaus.
    Library Location Call Number Volume/Issue/Year Availability
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  • 6
    UID:
    almafu_BV045440030
    Format: VI, 226 Seiten : , 51 Illustrationen, 53 Illustrationen ; , 23.5 cm x 15.5 cm, 514 g.
    Edition: 1st edition 2019
    ISBN: 978-3-319-99385-0 , 3-319-99385-2
    Series Statement: ICME-13 Monographs
    Additional Edition: Erscheint auch als Online-Ausgabe, EBook ISBN 9783319993867
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: 1849-1925 Klein, Felix ; Mathematikunterricht ; Konferenzschrift
    Author information: Weigand, Hans-Georg 1952-
    Author information: Neubrand, Michael 1947-
    Author information: Schubring, Gert 1944-
    Library Location Call Number Volume/Issue/Year Availability
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  • 7
    UID:
    almahu_9948148136702882
    Format: VI, 226 p. 104 illus., 53 illus. in color. , online resource.
    Edition: 1st ed. 2019.
    ISBN: 9783319993867
    Series Statement: ICME-13 Monographs,
    Content: 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.
    Note: 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.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9783319993850
    Additional Edition: Printed edition: ISBN 9783319993874
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 8
    UID:
    edoccha_9959151223102883
    Format: 1 online resource (XXVI, 437 p. 87 illus., 24 illus. in color.)
    Edition: 1st ed. 2019.
    ISBN: 3-030-14808-4
    Series Statement: International Studies in the History of Mathematics and its Teaching,
    Content: This book seeks to explore the history of descriptive geometry in relation to its circulation in the 19th century, which had been favoured by the transfers of the model of the École Polytechnique to other countries. The book also covers the diffusion of its teaching from higher instruction to technical and secondary teaching. In relation to that, there is analysis of the role of the institution – similar but definitely not identical in the different countries – in the field under consideration. The book contains chapters focused on different countries, areas, and institutions, written by specialists of the history of the field. Insights on descriptive geometry are provided in the context of the mathematical aspect, the aspect of teaching in particular to non-mathematicians, and the institutions themselves. .
    Note: Part I: First Spreading in Western Europe -- Chapter 1: Monge’s Descriptive Geometry: his Lessons and the Teachings given by Lacroix and Hachette -- Chapter 2: Descriptive Geometry in France: Circulation, Transformation, Recognition (1795-1905) -- Chapter 3: Descriptive Geometry in Italy in the 19th Century: Spread, Popularization, Teaching -- Chapter 4: Luigi Cremona and Wilhelm Fiedler: the Link between Descriptive and Projective Geometry in Technical Instruction -- Chapter 5: Descriptive Geometry in 19th Century Spain: from Monge to Cirodde -- Chapter 6: Descriptive Geometry in Spain and the Emergence of the late Modern European outlook on the Relationship between Pure Science and Technology -- Chapter 7: Portuguese books of Descriptive Geometry, from University and Polytechnic to Secondary School -- Part II: Installation of Descriptive Geometry in Europe -- Chapter 8: A German Interpreting of Descriptive Geometry and Polytechnic -- Chapter 9: The Evolution of Descriptive Geometry in Austria -- Chapter 10: The Vienna School of Descriptive Geometry -- Chapter 11: Otto Wilhelm Fiedler and the Synthesis of Projective and Descriptive Geometry -- Chapter 12: At the Crossroads of two Engineering Cultures, or An Unedited Story of the French Polytechnician Charles Potier’s Descriptive Geometry Books in Russia -- Chapter 13: Engineering Studies and Secondary Education: Descriptive Geometry in the Netherlands (1820-1960) -- Chapter 14: In Pursuit of Monge’s Ideal: the Introduction of Descriptive Geometry in the Educational Institutions in Greece during the 19th Century -- Chapter 15: The Rise and Fall of Descriptive Geometry in Denmark -- Chapter 16: Descriptive Geometry at Czech Technical Universities until 1939 -- Chapter 17: The Love Affair with Descriptive Geometry: Its History in Serbia -- Chapter 18: Descriptive Geometry in England – Lost in Translation -- Part III: Descriptive Geometry in America and Africa -- Chapter 19: Teaching of Descriptive Geometry in the United States (1817-1915): Circulation among Military Engineers, Scholars and Draftsmen -- Chapter 20: The Teaching of Descriptive Geometry in Egypt (1837–1902) -- Chapter 21: The Dissemination of Descriptive Geometry in Latin America -- Part IV: Epilogue -- Chapter 22: The Myth of the Polytechnic School.
    Additional Edition: ISBN 3-030-14807-6
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 9
    UID:
    edocfu_9959013964202883
    Format: 1 online resource (VI, 226 p. 104 illus., 53 illus. in color.)
    Edition: 1st ed. 2019.
    ISBN: 3-319-99386-0
    Series Statement: ICME-13 Monographs,
    Content: 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.
    Note: 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. , English
    Additional Edition: ISBN 3-319-99385-2
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 10
    UID:
    edoccha_9959013964202883
    Format: 1 online resource (VI, 226 p. 104 illus., 53 illus. in color.)
    Edition: 1st ed. 2019.
    ISBN: 3-319-99386-0
    Series Statement: ICME-13 Monographs,
    Content: 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.
    Note: 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. , English
    Additional Edition: ISBN 3-319-99385-2
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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