caa a22 4500 445881763 CHVBK 20180317145545.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10649-011-9329-y doi (NATIONALLICENCE)springer-10.1007/s10649-011-9329-y Grounded blends and mathematical gesture spaces: developing mathematical understandings via gestures [Elektronische Daten] [Caroline Yoon, Michael Thomas, Tommy Dreyfus] This paper examines how a person's gesture space can become endowed with mathematical meaning associated with mathematical spaces and how the resulting mathematical gesture space can be used to communicate and interpret mathematical features of gestures. We use the theory of grounded blends to analyse a case study of two teachers who used gestures to construct a graphical anti-derivative while working on a professional development task in a calculus modelling activity. Results indicate that mathematical gesture spaces can encourage mathematical experimentation, lighten the cognitive load for students and can be limited by a person's physical constraints. Springer Science+Business Media B.V., 2011 Gestures nationallicence Semiotics nationallicence Grounded blend nationallicence Mathematical gesture space nationallicence Calculus nationallicence Modelling nationallicence Yoon Caroline The University of Auckland, Auckland, New Zealand aut Thomas Michael The University of Auckland, Auckland, New Zealand aut Dreyfus Tommy Tel Aviv University, Tel Aviv, Israel aut Educational Studies in Mathematics Springer Netherlands 78/3(2011-12-01), 371-393 0013-1954 78:3<371 2011 78 10649 https://doi.org/10.1007/s10649-011-9329-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10649-011-9329-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Yoon Caroline The University of Auckland, Auckland, New Zealand aut NATIONALLICENCE 700 1- Thomas Michael The University of Auckland, Auckland, New Zealand aut NATIONALLICENCE 700 1- Dreyfus Tommy Tel Aviv University, Tel Aviv, Israel aut NATIONALLICENCE 773 0- Educational Studies in Mathematics Springer Netherlands 78/3(2011-12-01), 371-393 0013-1954 78:3<371 2011 78 10649 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer