LEADER 04952nam 2200637 450 001 9910781677403321 005 20230617000913.0 010 $a1-4411-7737-X 035 $a(CKB)2550000000044724 035 $a(EBL)1751462 035 $a(SSID)ssj0000524095 035 $a(PQKBManifestationID)12149155 035 $a(PQKBTitleCode)TC0000524095 035 $a(PQKBWorkID)10545621 035 $a(PQKB)10936012 035 $a(MiAaPQ)EBC4195090 035 $a(Au-PeEL)EBL4195090 035 $a(CaPaEBR)ebr11306492 035 $a(CaONFJC)MIL615784 035 $a(OCoLC)965157235 035 $a(MiAaPQ)EBC1751462 035 $a(EXLCZ)992550000000044724 100 $a20161206h20052005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical discourse $elanguage, symbolism and visual images /$fKay L. O'Halloran 210 1$aLondon, [England] ;$aNew York, New York :$cContinuum,$d2005. 210 4$dİ2005 215 $a1 online resource (239 p.) 300 $aDescription based upon print version of record. 311 $a1-84706-421-3 320 $aIncludes bibliographical references and index. 327 $aCover; 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 327 $a2.5 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 327 $a4.3 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 327 $a5.6 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 327 $a7.1 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 330 $aThis 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 mathematical discourse, and then, proceeds to examine the grammar of mathematical symbolism, the grammar of mathematical visual images, intersemiosis between language, visual images and symbolism and the subsequent ways in which mathematics orders reality. The focus of this investigation is written mathema 606 $aMathematics$xLanguage 606 $aMathematics$vTerminology 606 $aVisualization 615 0$aMathematics$xLanguage. 615 0$aMathematics 615 0$aVisualization. 676 $a510.1/4 700 $aO'Halloran$b Kay L.$0882785 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910781677403321 996 $aMathematical discourse$93707720 997 $aUNINA