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    Marta Menghini(editor)

    Marta Menghini received her degree in Mathematics from the University of Rome "La Sapienza". She is associate professor in the Department of Mathematics of the same University. She produced papers in the field of combinatoric geometry, of mathematics education, of the history of mathematics education, and of the history of mathematics. In this latter field she worked on the development of projective and algebraic geometry in the last century: a paper published in 1986 in Historia Mathematica concerned a correspondence between Luigi Cremona and Max Noether, a further paper published in the same journal with G. Israel was devoted to the different philosophic and scientific visions of Henri Poincaré and Federigo Enriques relative to qualitative analysis. The role of projective geometry in Italian education and institutions at the end of the 19th century is described in a paper appeared the first volume of the International Journal for the history of mathematics education, in 2006. In 2008 she edited, together with F. Arzarello, F. Furinghetti e L. Giacardi, the volume The First Century of the International Commission on Mathematical Instruction. Reflecting and Shaping the World of Mathematics Education, published on the occasion of the centennial of the International Commission of Mathematical Instruction by Enciclopedia Italiana. Together with F. Furinghetti. and J. M Matos., she wrote the chapter “From Mathematics and Education, to Mathematics Education” in the Third International Handbook of Mathematics Education, published by Springer in 2013, concerning the historical development of mathematics education as an academic field. With E. Berbin she wrote the chapter about “History of Teaching Geometry” in the International Handbook on History of Mathematics Education (Springer, 2013). In the Encyclopedia of Life Support Systems (EOLSS), published by UNESCO-EOLSS Joint Committee, she wrote the chapter on the History of Mathematics Education in Italy http://www.mat.uniroma1.it/persone/menghiniMarta Menghini received her degree in Mathematics from the University of Rome "La Sapienza". She is associate professor in the Department of Mathematics of the same University. She produced papers in the field of combinatoric geometry, of mathematics education, of the history of mathematics education, and of the history of mathematics. In this latter field she worked on the development of projective and algebraic geometry in the last century: a paper published in 1986 in Historia Mathematica concerned a correspondence between Luigi Cremona and Max Noether, a further paper published in the same journal with G. Israel was devoted to the different philosophic and scientific visions of Henri Poincaré and Federigo Enriques relative to qualitative analysis. The role of projective geometry in Italian education and institutions at the end of the 19th century is described in a paper appeared the first volume of the International Journal for the history of mathematics education, in 2006. In 2008 she edited, together with F. Arzarello, F. Furinghetti e L. Giacardi, the volume The First Century of the International Commission on Mathematical Instruction. Reflecting and Shaping the World of Mathematics Education, published on the occasion of the centennial of the International Commission of Mathematical Instruction by Enciclopedia Italiana. Together with F. Furinghetti. and J. M Matos., she wrote the chapter “From Mathematics and Education, to Mathematics Education” in the Third International Handbook of Mathematics Education, published by Springer in 2013, concerning the historical development of mathematics education as an academic field. With E. Berbin she wrote the chapter about “History of Teaching Geometry” in the International Handbook on History of Mathematics Education (Springer, 2013). In the Encyclopedia of Life Support Systems (EOLSS), published by UNESCO-EOLSS Joint Committee, she wrote the chapter on the History of Mathematics Education in Italy http://www.mat.uniroma1.it/persone/menghini

    Marta Menghini(editor)

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    The Legacy of Felix Klein

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    The Legacy of Felix Klein

    Hans-Georg Weigand(editor)William McCallum(editor)Marta Menghini(editor)Michael Neubrand(editor)Gert Schubring(editor)

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    Marta Menghini received her degree in Mathematics from the University of Rome "La Sapienza". She is associate professor in the Department of Mathematics of the same University. She produced papers in the field of combinatoric geometry, of mathematics education, of the history of mathematics education, and of the history of mathematics. In this latter field she worked on the development of projective and algebraic geometry in the last century: a paper published in 1986 in Historia Mathematica concerned a correspondence between Luigi Cremona and Max Noether, a further paper published in the same journal with G. Israel was devoted to the different philosophic and scientific visions of Henri Poincaré and Federigo Enriques relative to qualitative analysis. The role of projective geometry in Italian education and institutions at the end of the 19th century is described in a paper appeared the first volume of the International Journal for the history of mathematics education, in 2006. In 2008 she edited, together with F. Arzarello, F. Furinghetti e L. Giacardi, the volume The First Century of the International Commission on Mathematical Instruction. Reflecting and Shaping the World of Mathematics Education, published on the occasion of the centennial of the International Commission of Mathematical Instruction by Enciclopedia Italiana. Together with F. Furinghetti. and J. M Matos., she wrote the chapter “From Mathematics and Education, to Mathematics Education” in the Third International Handbook of Mathematics Education, published by Springer in 2013, concerning the historical development of mathematics education as an academic field. With E. Berbin she wrote the chapter about “History of Teaching Geometry” in the International Handbook on History of Mathematics Education (Springer, 2013). In the Encyclopedia of Life Support Systems (EOLSS), published by UNESCO-EOLSS Joint Committee, she wrote the chapter on the History of Mathematics Education in Italy http://www.mat.uniroma1.it/persone/menghini

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    The Legacy of Felix Klein

    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.

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