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Semiotics as a Tool for Learning Mathematics

E-BookPDF1 - PDF WatermarkE-Book
Englisch
SensePublisherserschienen am17.12.20151st ed. 2016
Semiotics as a Tool for Learning Mathematics is a collection of ten theoretical and empirical chapters, from researchers all over the world, who are interested in semiotic notions and their practical uses in mathematics classrooms. Collectively, they present a semiotic contribution to enhance pedagogical aspects both for the teaching of school mathematics and for the preparation of pre-service teachers. This enhancement involves the use of diagrams to visualize implicit or explicit mathematical relations and the use of mathematical discourse to facilitate the emergence of inferential reasoning in the process of argumentation. It will also facilitate the construction of proofs and solutions of mathematical problems as well as the progressive construction of mathematical conceptions that, eventually, will approximate the concept(s) encoded in mathematical symbols. These symbols hinge not only of mental operations but also on indexical and iconic aspects; aspects which often are not taken into account when working on the meaning of mathematical symbols. For such an enhancement to happen, it is necessary to transform basic notions of semiotic theories to make them usable for mathematics education. In addition, it is also necessary to back theoretical claims with empirical data. This anthology attempts to deal with such a conjunction. Overall, this book can be used as a theoretical basis for further semiotic considerations as well as for the design of different ways of teaching mathematical concepts.

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Produkt

KlappentextSemiotics as a Tool for Learning Mathematics is a collection of ten theoretical and empirical chapters, from researchers all over the world, who are interested in semiotic notions and their practical uses in mathematics classrooms. Collectively, they present a semiotic contribution to enhance pedagogical aspects both for the teaching of school mathematics and for the preparation of pre-service teachers. This enhancement involves the use of diagrams to visualize implicit or explicit mathematical relations and the use of mathematical discourse to facilitate the emergence of inferential reasoning in the process of argumentation. It will also facilitate the construction of proofs and solutions of mathematical problems as well as the progressive construction of mathematical conceptions that, eventually, will approximate the concept(s) encoded in mathematical symbols. These symbols hinge not only of mental operations but also on indexical and iconic aspects; aspects which often are not taken into account when working on the meaning of mathematical symbols. For such an enhancement to happen, it is necessary to transform basic notions of semiotic theories to make them usable for mathematics education. In addition, it is also necessary to back theoretical claims with empirical data. This anthology attempts to deal with such a conjunction. Overall, this book can be used as a theoretical basis for further semiotic considerations as well as for the design of different ways of teaching mathematical concepts.

Details
Weitere ISBN/GTIN9789463003377
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2015
Erscheinungsdatum17.12.2015
Auflage1st ed. 2016
SpracheEnglisch
IllustrationenApprox. 230 p.
Artikel-Nr.1874162
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
Constructing Knowledge Seen as a SemioticActivity.- Communication.- Geometry, a Means of Argumentation.- ClassroomMathematical Activity When It Is Seen as an Inter-Intra Double Semiotic Processof Interpretation: A Peircean Perspective.- Visualisation.- Visualisation forDifferent Mathematical Purposes.- Visualising Cubic Reasoning with SemioticResources and Modelling Cycles.- Diagrams as Means for Learning.- Instead ofthe Circle... What?.- Abduction in Proving: A Deconstruction of the ThreeClassical Proofs of "The Angles in Any Triangle Add 180°".- Problem Solving.- SemioticAnalysis of Collective Problem-Solving Processes Using Digital Media.- TheImportance of Abductive Reasoning in Mathematical Problem Solving.mehr