1.

Record Nr.

UNINA9910890182503321

Autore

Skovsmose Ole

Titolo

Critical Philosophy of Mathematics / / by Ole Skovsmose

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024

ISBN

9783031713750

3031713753

Edizione

[1st ed. 2024.]

Descrizione fisica

1 online resource (270 pages)

Collana

Advances in Mathematics Education, , 1869-4926

Disciplina

150.198

Soggetti

Mathematics - Study and teaching

Mathematics - Philosophy

Teachers - Training of

Mathematics Education

Philosophy of Mathematics

Teaching and Teacher Education

Filosofia de la matemàtica

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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.

Sommario/riassunto

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.