LEADER 03932nam 22006375 450 001 9910890182503321 005 20250521144229.0 010 $a9783031713750 010 $a3031713753 024 7 $a10.1007/978-3-031-71375-0 035 $a(MiAaPQ)EBC31692116 035 $a(Au-PeEL)EBL31692116 035 $a(CKB)36213814200041 035 $a(DE-He213)978-3-031-71375-0 035 $a(EXLCZ)9936213814200041 100 $a20240926d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCritical Philosophy of Mathematics /$fby Ole Skovsmose 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (270 pages) 225 1 $aAdvances in Mathematics Education,$x1869-4926 311 08$a9783031713743 311 08$a3031713745 320 $aIncludes bibliographical references. 327 $aPart 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. 330 $aThis book provides a philosophy of mathematics that resonates with critical mathematics education. It draws attention to the social complexities that characterise the period of Modernity including the extreme exploitation of manual workers and their families, brutal forms of colonisations, trading of slaves, and the formation of racist ideologies. It portrays Modernity as a period of contradictions and highlights that mathematics is a part of these contradictions. The text interprets mathematics as being indefinite, seeing that mathematics is a part of the ongoing human constructions. It outlines a performative interpretation of mathematics, portraying mathematics as intrinsically connected to actions. Any kind of action, including mathematics-based actions, calls for ethical considerations and this leads to any mathematical practice, either in research, application, or education, to face ethical challenges. It illustrates with examples how a critical philosophy of mathematics can come to be an integral part of classroom practices. 410 0$aAdvances in Mathematics Education,$x1869-4926 606 $aMathematics$xStudy and teaching 606 $aMathematics$xPhilosophy 606 $aTeachers$xTraining of 606 $aMathematics Education 606 $aPhilosophy of Mathematics 606 $aTeaching and Teacher Education 606 $aFilosofia de la matemātica$2thub 608 $aLlibres electrōnics$2thub 615 0$aMathematics$xStudy and teaching. 615 0$aMathematics$xPhilosophy. 615 0$aTeachers$xTraining of. 615 14$aMathematics Education. 615 24$aPhilosophy of Mathematics. 615 24$aTeaching and Teacher Education. 615 7$aFilosofia de la matemātica 676 $a150.198 700 $aSkovsmose$b Ole$0879206 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910890182503321 996 $aCritical Philosophy of Mathematics$94264171 997 $aUNINA