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Critical Philosophy of Mathematics / / by Ole Skovsmose



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Autore: Skovsmose Ole Visualizza persona
Titolo: Critical Philosophy of Mathematics / / by Ole Skovsmose Visualizza cluster
Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024
Edizione: 1st ed. 2024.
Descrizione fisica: 1 online resource (270 pages)
Disciplina: 150.198
Soggetto topico: Mathematics - Study and teaching
Mathematics - Philosophy
Teachers - Training of
Mathematics Education
Philosophy of Mathematics
Teaching and Teacher Education
Filosofia de la matemàtica
Soggetto genere / forma: Llibres electrònics
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.
Titolo autorizzato: Critical Philosophy of Mathematics  Visualizza cluster
ISBN: 9783031713750
3031713753
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910890182503321
Lo trovi qui: Univ. Federico II
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Serie: Advances in Mathematics Education, . 1869-4926