Critical Philosophy of Mathematics

AvOle Skovsmose

Inbunden, Engelska, 2024

Del i serien Advances in Mathematics Education

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Beskrivning

This book provides a philosophy of mathematics that resonates with critical mathematics education. It draws attention to the social complexities that characterise the period of Modernity including the extreme exploitation of manual workers and their families, brutal forms of colonisations, trading of slaves, and the formation of racist ideologies. It portrays Modernity as a period of contradictions and highlights that mathematics is a part of these contradictions. The text interprets mathematics as being indefinite, seeing that mathematics is a part of the ongoing human constructions. It outlines a performative interpretation of mathematics, portraying mathematics as intrinsically connected to actions. Any kind of action, including mathematics-based actions, calls for ethical considerations and this leads to any mathematical practice, either in research, application, or education, to face ethical challenges. It illustrates with examples how a critical philosophy of mathematics can come to be an integral part of classroom practices.

Produktinformation

Utgivningsdatum:2024-09-26
Mått:155 x 235 x 21 mm
Vikt:594 g
Format:Inbunden
Språk:Engelska
Serie:Advances in Mathematics Education
Antal sidor:265
Förlag:Springer International Publishing AG
ISBN:9783031713743

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Mer om författaren

Ole Skovsmose has a special interest in critical mathematics education. His research addresses landscape of investigation, dialogue, students’ foreground, inclusive mathematics education, pedagogical imagination, mathematics in action, philosophy of mathematics education, and philosophy of mathematics. He is a professor at the Department of Education, Learning and Philosophy (now Department of Culture and Learning), Aalborg University, Denmark as well as a professor at Universidade Estadual Paulista (Unesp), Brazil. He has recently received the Freudenthal medal of ICMI for his innovative theoretical work.

Recensioner i media

“Ole Skovsmose begins his journey into the critical philosophy of mathematics with the advent of modernity. … Ole Skovsmose’s critical philosophy of mathematics fills a giant hole in contemporary philosophy. It offers a philosophy of applied mathematics, something that traditional philosophers have overlooked or turned away from. … . It is now urgent and vital that philosophers, mathematicians and indeed all citizens wake up to these challenges, expressed so forcefully and analysed so convincingly in this book.” (Paul Ernest, Philosophy of Mathematics Education Journal, Issue 42, December, 2024)

Innehållsförteckning

Part I. Social Complexities.- Chapter 1. Modernity and the Holocaust.- Chapter 2. Glorification of Science and Mathematics.- Chapter 3. Domination by Technology.- Chapter 4. Globalised Exploitation.- Part II. Isolation and Glorification.- Chapter 5. Mathematics as Logical Tautologies.- Chapter 6. Mathematics as Formal Structures.- Chapter 7. Mathematics as Mental Acts.- Chapter 8. Mathematics as Mathematicians’ Practice.- Part III. Indefinite Constructions.- Chapter 9. Indefinite with Respect to Concepts and Proofs.- Chapter 10. Indefinite with Respect to Topics and Applications.- Chapter 11. Indefinite with Respect to Power.- Chapter 12. Indefinite with Respect to Culture.- Part IV. Ethical Challenges.- Chapter 13. A Performative Interpretation of Mathematics.- Chapter 14. Performatives.- Chapter 15. Action and Ethics.- Chapter 16. Reflective Inquiries in the Classroom.