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Mathematical discourse : language, symbolism and visual images /
This book examines mathematical discourse from the perspective of Michael Halliday''s social semiotic theory. In this approach, mathematics is conceptualized as a multisemiotic discourse involving language, visual images and symbolism. The book discusses the evolution of the semiotics of m...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London ; New York :
Continuum,
2008.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Contents; Acknowledgements; Copyright Permission Acknowledgements; 1 Mathematics as a Multisemiotic Discourse; 1.1 The Creation of Order; 1.2 Halliday''s Social Semiotic Approach; 1.3 Mathematics as Multisemiotic; 1.4 Implications of a Multisemiotic View; 1.5 Tracing the Semiotics of Mathematics; 1.6 Systemic Functional Research in Multimodality; 2 Evolution of the Semiotics of Mathematics; 2.1 Historical Development of Mathematical Discourse; 2.2 Early Printed Mathematics Books; 2.3 Mathematics in the Early Renaissance; 2.4 Beginnings of Modern Mathematics: Descartes and Newton.
- 2.5 Descartes'' Philosophy and Semiotic Representations2.6 A New World Order; 3 Systemic Functional Linguistics (SFL) and Mathematical Language; 3.1 The Systemic Functional Model of Language; 3.2 Interpersonal Meaning in Mathematics; 3.3 Mathematics and the Language of Experience; 3.4 The Construction of Logical Meaning; 3.5 The Textual Organization of Language; 3.6 Grammatical Metaphor and Mathematical Language; 3.7 Language, Context and Ideology; 4 The Grammar of Mathematical Symbolism; 4.1 Mathematical Symbolism; 4.2 Language-Based Approach to Mathematical Symbolism.
- 4.3 SF Framework for Mathematical Symbolism4.4 Contraction and Expansion of Experiential Meaning; 4.5 Contraction of Interpersonal Meaning; 4.6 A Resource for Logical Reasoning; 4.7 Specification of Textual Meaning; 4.8 Discourse, Grammar and Display; 4.9 Concluding Comments; 5 The Grammar of Mathematical Visual Images; 5.1 The Role of Visualization in Mathematics; 5.2 SF Framework for Mathematical Visual Images; 5.3 Interpersonally Orientating the Viewer; 5.4 Visual Construction of Experiential Meaning; 5.5 Reasoning through Mathematical Visual Images.
- 5.6 Compositional Meaning and Conventionalized Styles of Organization5.7 Computer Graphics and the New Image of Mathematics; 6 Intersemiosis: Meaning Across Language, Visual Images and Symbolism; 6.1 The Semantic Circuit in Mathematics; 6.2 Intersemiosis: Mechanisms, Systems and Semantics; 6.3 Analysing Intersemiosis in Mathematical Texts; 6.4 Intersemiotic Re-Contexualization in Newton''s Writings; 6.5 Semiotic Metaphor and Metaphorical Expansions of Meaning; 6.6 Reconceptualizing Grammatical Metaphor; 7 Mathematical Constructions of Reality.
- 7.1 Multisemiotic Analysis of a Contemporary Mathematics Problem7.2 Educational Implications of a Multisemiotic Approach to Mathematics; 7.3 Pedagogical Discourse in Mathematics Classrooms; 7.4 The Nature and Use of Mathematical Constructions; References; Index; A; B; C; D; E; F; G; H; I; K; L; M; N; O; P; R; S; T; V; W.