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Making and Breaking Mathematical Sense : Histories and Philosophies of Mathematical Practice / / Roi Wagner
| Making and Breaking Mathematical Sense : Histories and Philosophies of Mathematical Practice / / Roi Wagner |
| Autore | Wagner Roi |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2017] |
| Descrizione fisica | 1 online resource (251 pages) |
| Disciplina | 510.1 |
| Soggetto topico |
Mathematics - Philosophy - History
Mathematics - History |
| Soggetto genere / forma |
History
Electronic books. |
| Soggetto non controllato |
Benedetto
Black-Scholes formula Eugene Wigner Friedrich W.J. Schelling George Lakoff Gilles Deleuze Hermann Cohen Hilary Putnam Johann G. Fichte Logic of Sensation Mark Steiner Rafael Nez Stanislas Dehaene Vincent Walsh Water J. Freeman III abbaco algebra arithmetic authority cognitive theory combinatorics conceptual freedom constraints economy gender role stereotypes generating functions geometry inferences infinities infinity mathematical cognition mathematical concepts mathematical cultures mathematical domains mathematical entities mathematical evolution mathematical interpretation mathematical language mathematical metaphor mathematical norms mathematical objects mathematical practice mathematical signs mathematical standards mathematical statements mathematics natural order natural sciences nature negative numbers number sense option pricing philosophy of mathematics reality reason relevance semiosis sexuality stable marriage problem |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title; Copyright; Dedication; Contents; Acknowledgments; Introduction; What Philosophy of Mathematics Is Today; What Else Philosophy of Mathematics Can Be; A Vignette: Option Pricing and the Black-Scholes Formula; Outline of This Book; Chapter 1: Histories of Philosophies of Mathematics; History 1: On What There Is, Which Is a Tension between Natural Order and Conceptual Freedom; History 2: The Kantian Matrix, Which Grants Mathematics a Constitutive Intermediary Epistemological Position; History 3: Monster Barring, Monster Taming, and Living with Mathematical Monsters.
History 4: Authority, or Who Gets to Decide What Mathematics Is AboutThe "Yes, Please!" Philosophy of Mathematics; Chapter 2: The New Entities of Abbacus and Renaissance Algebra; Abbacus and Renaissance Algebraists; The Emergence of the Sign of the Unknown; First Intermediary Reflection; The Arithmetic of Debited Values; Second Intermediary Reflection; False and Sophistic Entities; Final Reflection and Conclusion; Chapter 3: A Constraints-Based Philosophy of Mathematical Practice; Dismotivation; The Analytic A Posteriori; Consensus; Interpretation; Reality; Constraints; Relevance; Conclusion. Chapter 4: Two Case Studies of Semiosis in MathematicsAmbiguous Variables in Generating Functions; Between Formal Interpretations; Models and Applications; Openness to Interpretation; Gendered Signs in a Combinatorial Problem; The Problem; Gender Role Stereotypes and Mathematical Results; Mathematical Language and Its Reality; The Forking Paths of Mathematical Language; Chapter 5: Mathematics and Cognition; The Number Sense; Mathematical Metaphors; Some Challenges to the Theory of Mathematical Metaphors; Best Fit for Whom?; What Is a Conceptual Domain?; In Which Direction Does the Theory Go? So How Should We Think about Mathematical Metaphors?An Alternative Neural Picture; Another Vision of Mathematical Cognition; From Diagrams to Haptic Vision; Haptic Vision in Practice; Chapter 6: Mathematical Metaphors Gone Wild; What Passes between Algebra and Geometry; Piero della Francesca (Italy, Fifteenth Century); Omar Khayyam (Central Asia, Eleventh Century); Rene Descartes (France, Seventeenth Century); Rafael Bombelli (Italy, Sixteenth Century); Conclusion; A Garden of Infinities; Limits; Infinitesimals and Actual Infinities; Chapter 7: Making a World, Mathematically; Fichte. SchellingHermann Cohen; The Unreasonable Applicability of Mathematics; Bibliography; Index. |
| Record Nr. | UNINA-9910154298703321 |
Wagner Roi
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| Princeton, NJ : , : Princeton University Press, , [2017] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Scientific Reasoning in Science Education: From Global Measures to Fine-Grained Descriptions of Students’ Competencies
| Scientific Reasoning in Science Education: From Global Measures to Fine-Grained Descriptions of Students’ Competencies |
| Autore | Krell Moritz |
| Pubbl/distr/stampa | Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
| Descrizione fisica | 1 electronic resource (320 p.) |
| Soggetto topico |
Humanities
Education |
| Soggetto non controllato |
scientific reasoning
primary education individual differences cognition assessment item features item difficulty abductive reasoning models modeling model construction model application modeling competence scientific inquiry science education chemistry teacher education argumentation reasoning justifications socioscientific issues societally denied science controversial science issues science communication nature of science preservice teachers longitudinal study cross-lagged panel explanations drawings earthquakes modelling competence chemical education epistemic cognition science discussions Quality Talk professional knowledge scientific reasoning skills self-efficacy students' difficulties diagnostic competencies anomalous data balance of nature metaphor science teacher education pre-service teachers person-centered statistical analyses latent class analysis biological reasoning three-tiered assessment Assessment of Biological Reasoning data reasoning statistics education numerical cognition cognitive development number sense models and modeling philosophy of science |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | Scientific Reasoning in Science Education |
| Record Nr. | UNINA-9910580212103321 |
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Krell Moritz
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| Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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