caa a22 4500 445882204 CHVBK 20180317145547.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s10649-010-9297-7 doi (NATIONALLICENCE)springer-10.1007/s10649-010-9297-7 The emergence of mathematical structures [Elektronische Daten] [Stephen Hegedus, Luis Moreno-Armella] We present epistemological ruptures that have occurred in mathematical history and in the transformation of using technology in mathematics education in the twenty-first century. We describe how such changes establish a new form of digital semiotics that challenges learning paradigms and mathematical inquiry for learners today. We focus on drawing analogies between the emergence of non-Euclidean geometry with recent advances in technological environments that are dynamic and interactive both visually and haptically. This analysis yields a new digital semiotic theory. Springer Science+Business Media B.V., 2011 Space nationallicence Structure nationallicence Euclidean and non-Euclidean geometry nationallicence Haptic nationallicence Dynamic nationallicence Multimodal nationallicence Environment nationallicence Epistemological ruptures nationallicence Digital semiotics nationallicence Hegedus Stephen Kaput Center for Research and Innovation in STEM Education, University of Massachusetts Dartmouth, 200 Mill Road, Suite 150B, 02719, Fairhaven, MA, USA aut Moreno-Armella Luis Departamento de Matemática Educativa, Cinvestav-IPN, Mexico City, Mexico aut Educational Studies in Mathematics Springer Netherlands 77/2-3(2011-07-01), 369-388 0013-1954 77:2-3<369 2011 77 10649 https://doi.org/10.1007/s10649-010-9297-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10649-010-9297-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hegedus Stephen Kaput Center for Research and Innovation in STEM Education, University of Massachusetts Dartmouth, 200 Mill Road, Suite 150B, 02719, Fairhaven, MA, USA aut NATIONALLICENCE 700 1- Moreno-Armella Luis Departamento de Matemática Educativa, Cinvestav-IPN, Mexico City, Mexico aut NATIONALLICENCE 773 0- Educational Studies in Mathematics Springer Netherlands 77/2-3(2011-07-01), 369-388 0013-1954 77:2-3<369 2011 77 10649 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer