Ladislav Kvasz – författare

This book shows the transformative power of genetic constructivism in mathematics education, exploring how research, practice, and policy converged to drive educational innovations in the Czech Republic can offer valuable insights into the evolution of mathematics teaching on an international scale.Drawing on a seventy-year legacy of advancements, the book highlights the pioneering ideas that emerged during the communist regime and were further developed after the Velvet Revolution, influenced by both East-European and global perspectives. Each chapter sees leading international experts reflect on the development and large-scale implementation of genetic constructivism, examining its impact on learners and providing forward-looking recommendations for the future of mathematics education. The book also delves into key themes, including the origins and defining characteristics of genetic constructivism, practical applications in schools, and an evaluation of its influence on student learning, all while maintaining a consistent focus on joyful, autonomous discovery supported by thoughtful teaching.Encouraging readers to critically assess their own teaching methods, this is the ideal resource for researchers, educators, and policymakers seeking innovative strategies to enhance mathematics education.

This book shows the transformative power of genetic constructivism in mathematics education, exploring how research, practice, and policy converged to drive educational innovations in the Czech Republic can offer valuable insights into the evolution of mathematics teaching on an international scale.Drawing on a seventy-year legacy of advancements, the book highlights the pioneering ideas that emerged during the communist regime and were further developed after the Velvet Revolution, influenced by both East-European and global perspectives. Each chapter sees leading international experts reflect on the development and large-scale implementation of genetic constructivism, examining its impact on learners and providing forward-looking recommendations for the future of mathematics education. The book also delves into key themes, including the origins and defining characteristics of genetic constructivism, practical applications in schools, and an evaluation of its influence on student learning, all while maintaining a consistent focus on joyful, autonomous discovery supported by thoughtful teaching.Encouraging readers to critically assess their own teaching methods, this is the ideal resource for researchers, educators, and policymakers seeking innovative strategies to enhance mathematics education.

This book shows the transformative power of genetic constructivism in mathematics education, exploring how research, practice, and policy converged to drive educational innovations in the Czech Republic can offer valuable insights into the evolution of mathematics teaching on an international scale.Drawing on a seventy-year legacy of advancements, the book highlights the pioneering ideas that emerged during the communist regime and were further developed after the Velvet Revolution, influenced by both East-European and global perspectives. Each chapter sees leading international experts reflect on the development and large-scale implementation of genetic constructivism, examining its impact on learners and providing forward-looking recommendations for the future of mathematics education. The book also delves into key themes, including the origins and defining characteristics of genetic constructivism, practical applications in schools, and an evaluation of its influence on student learning, all while maintaining a consistent focus on joyful, autonomous discovery supported by thoughtful teaching.Encouraging readers to critically assess their own teaching methods, this is the ideal resource for researchers, educators, and policymakers seeking innovative strategies to enhance mathematics education.

This book shows the transformative power of genetic constructivism in mathematics education, exploring how research, practice, and policy converged to drive educational innovations in the Czech Republic can offer valuable insights into the evolution of mathematics teaching on an international scale.Drawing on a seventy-year legacy of advancements, the book highlights the pioneering ideas that emerged during the communist regime and were further developed after the Velvet Revolution, influenced by both East-European and global perspectives. Each chapter sees leading international experts reflect on the development and large-scale implementation of genetic constructivism, examining its impact on learners and providing forward-looking recommendations for the future of mathematics education. The book also delves into key themes, including the origins and defining characteristics of genetic constructivism, practical applications in schools, and an evaluation of its influence on student learning, all while maintaining a consistent focus on joyful, autonomous discovery supported by thoughtful teaching.Encouraging readers to critically assess their own teaching methods, this is the ideal resource for researchers, educators, and policymakers seeking innovative strategies to enhance mathematics education.

This book argues that Descartes’ physics was a milestone on the road to modern mathematical physics. After Newton introduced a completely different approach to mathematical description of motion, Descartes’ physics became obsolete and even difficult to comprehend. This text follows the language of Descartes and the means of which motion can be described. It argues that Descartes achieved almost everything that later Newton was able to do—to describe the motion of interacting bodies- by different (i.e. algebraic) means. This volume completely refutes the received view according to which Descartes’ physics was merely a kind of discursive natural philosophy. To make this interpretation more plausible the book follows Descartes’ ideas from his early work in mathematics, through his invention of the analytic method towards his mature physics. It shows that Descartes followed a similar heuristic pattern.The volume appeals to students and researchers; it invites the reader equippedwith minimal understanding of college mathematics to follow Descartes on his intellectual journey through the Scientific Revolution. The reader will gain a deeper understanding of the role of mathematical language in the creation of modern physics and a glimpse into the fascinating world of Descartes’ scientific thought. Several of Descartes’ philosophical ideas can be traced back to his scientific interests and thus the book elucidates the motivation behind some of Descartes’ key positions in the area of epistemology and method. In the penultimate chapter the book presents four arguments in favor of seeing Descartes as a physicist on par with Galileo and Newton.

Dieses Buch argumentiert, dass Descartes Physik ein Meilenstein auf dem Weg zur modernen mathematischen Physik war. Nachdem Newton einen völlig anderen Zugang zur mathematischen Beschreibung von Bewegung eingeführt hatte, wurde Descartes Physik obsolet und sogar schwer verständlich. Der Text folgt der Sprache von Descartes und den Mitteln, mit denen Bewegung beschrieben werden kann. Er vertritt die These, dass Descartes nahezu alles erreicht hat, was später auch Newton gelang – nämlich die Beschreibung der Bewegung wechselwirkender Körper – jedoch mit anderen (d. h. algebraischen) Mitteln.Dieser Band widerlegt vollständig die gängige Auffassung, wonach Descartes Physik lediglich eine Art diskursive Naturphilosophie gewesen sei. Um diese Interpretation plausibler zu machen, verfolgt das Buch Descartes Ideen von seinen frühen mathematischen Arbeiten über die Entwicklung der analytischen Methode bis hin zu seiner ausgereiften Physik. Es zeigt, dass Descartes einem ähnlichen heuristischen Muster folgte.Der Band richtet sich an Studierende und Forschende; er lädt Leserinnen und Leser mit elementaren Kenntnissen der Schulmathematik dazu ein, Descartes auf seiner intellektuellen Reise durch die wissenschaftliche Revolution zu begleiten. Dabei gewinnt man ein tieferes Verständnis für die Rolle der mathematischen Sprache bei der Entstehung der modernen Physik und erhält einen Einblick in die faszinierende Welt von Descartes wissenschaftlichem Denken.Mehrere von Descartes philosophischen Ideen lassen sich auf seine naturwissenschaftlichen Interessen zurückführen. Das Buch beleuchtet daher auch die Motivation hinter einigen seiner zentralen Positionen in der Erkenntnistheorie und Methodologie. Im vorletzten Kapitel präsentiert das Buch vier Argumente dafür, Descartes als Physiker auf Augenhöhe mit Galileo und Newton zu sehen.

Dieses Buch argumentiert, dass Descartes Physik ein Meilenstein auf dem Weg zur modernen mathematischen Physik war. Nachdem Newton einen vollig anderen Zugang zur mathematischen Beschreibung von Bewegung eingefuhrt hatte, wurde Descartes Physik obsolet und sogar schwer verstandlich. Der Text folgt der Sprache von Descartes und den Mitteln, mit denen Bewegung beschrieben werden kann. Er vertritt die These, dass Descartes nahezu alles erreicht hat, was spater auch Newton gelang - namlich die Beschreibung der Bewegung wechselwirkender Korper - jedoch mit anderen (d. h. algebraischen) Mitteln.Dieser Band widerlegt vollstandig die gangige Auffassung, wonach Descartes Physik lediglich eine Art diskursive Naturphilosophie gewesen sei. Um diese Interpretation plausibler zu machen, verfolgt das Buch Descartes Ideen von seinen fruhen mathematischen Arbeiten uber die Entwicklung der analytischen Methode bis hin zu seiner ausgereiften Physik. Es zeigt, dass Descartes einem ahnlichen heuristischen Muster folgte.Der Band richtet sich an Studierende und Forschende; er ladt Leserinnen und Leser mit elementaren Kenntnissen der Schulmathematik dazu ein, Descartes auf seiner intellektuellen Reise durch die wissenschaftliche Revolution zu begleiten. Dabei gewinnt man ein tieferes Verstandnis fur die Rolle der mathematischen Sprache bei der Entstehung der modernen Physik und erhalt einen Einblick in die faszinierende Welt von Descartes wissenschaftlichem Denken.Mehrere von Descartes philosophischen Ideen lassen sich auf seine naturwissenschaftlichen Interessen zuruckfuhren. Das Buch beleuchtet daher auch die Motivation hinter einigen seiner zentralen Positionen in der Erkenntnistheorie und Methodologie. Im vorletzten Kapitel prasentiert das Buch vier Argumente dafur, Descartes als Physiker auf Augenhohe mit Galileo und Newton zu sehen.

This survey provides a brief and selective overview of research in the philosophy of mathematics education. It asks what makes up the philosophy of mathematics education, what it means, what questions it asks and answers, and what is its overall importance and use?  It provides overviews of critical mathematics education, and the most relevant modern movements in the philosophy of mathematics. A case study is provided of an emerging research tradition in one country. This is the Hermeneutic strand of research in the philosophy of mathematics education in Brazil. This illustrates one orientation towards research inquiry in the philosophy of mathematics education. It is part of a broader practice of ‘philosophical archaeology’: the uncovering of hidden assumptions and buried ideologies within the concepts and methods of research and practice in mathematics education. An extensive bibliography is also included.

Kvasz’s book is a contribution to the history and philosophy of mat- matics, or, as one might say, the historical approach to the philosophy of mathematics. This approach is for mathematics what the history and philosophy of science is for science. Yet the historical approach to the philosophy of science appeared much earlier than the historical approach to the philosophy of mathematics. The ?rst signi?cant work in the history and philosophy of science is perhaps William Whewell’s Philosophy of the Inductive Sciences, founded upon their History. This was originally published in 1840, a second, enlarged edition appeared in 1847, and the third edition appeared as three separate works p- lished between 1858 and 1860. Ernst Mach’s The Science of Mech- ics: A Critical and Historical Account of Its Development is certainly a work of history and philosophy of science. It ?rst appeared in 1883, and had six further editions in Mach’s lifetime (1888, 1897, 1901, 1904, 1908, and 1912). Duhem’s Aim and Structure of Physical Theory appeared in 1906 and had a second enlarged edition in 1914. So we can say that history and philosophy of science was a well-established ?eld th th by the end of the 19 and the beginning of the 20 century. By contrast the ?rst signi?cant work in the history and philosophy of mathematics is Lakatos’s Proofs and Refutations, which was p- lished as a series of papers in the years 1963 and 1964.