04000nam a22005655i 4500 978-3-031-71375-0 DE-He213 20251030113107.0 cr nn 008mamaa 240926s2024 sz | s |||| 0|eng d 9783031713750 978-3-031-71375-0 10.1007/978-3-031-71375-0 doi QA10.92-20 JNU bicssc PB bicssc EDU029010 bisacsh JNU thema PB thema Skovsmose, Ole. author. (orcid)0000-0002-1528-796X https://orcid.org/0000-0002-1528-796X aut http://id.loc.gov/vocabulary/relators/aut 85038 Critical Philosophy of Mathematics [electronic resource] / by Ole Skovsmose. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XVII, 265 p. 13 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Advances in Mathematics Education, 1869-4926 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. 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. Mathematics Study and teaching . 59955 Mathematics Philosophy. 69649 Teachers Training of. 58400 Mathematics Education. 68855 Philosophy of Mathematics. 69650 Teaching and Teacher Education. SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031713743 Printed edition: 9783031713767 Printed edition: 9783031713774 Advances in Mathematics Education, 1869-4926 78530 https://doi.org/10.1007/978-3-031-71375-0 ZDB-2-EDA ZDB-2-SXED 63727 63727