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Invited lectures from the 13th international congress on mathematical education

edited byGabriele KaiserHelen ForgaszMellony GravenAlain KuzniakElaine SimmtBinyan Xu

Abstract

This book is Open Access under a CC BY 4.0 license.The book presents the Invited Lectures given at 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 – the biggest ICME so far - brought together about 3500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. The scholars came together to share their work on the improvement of mathematics education at all educational levels.. The papers present the work of prominent mathematics educators from all over the globe and give insight into the current discussion in mathematics education. The Invited Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.

Details | Table of Contents

A friendly introduction to "knowledge in pieces"

modeling types of knowledge and their roles in learning

pp.65-84

https://doi.org/10.1007/978-3-319-72170-5_5
Hidden connections and double meanings

a mathematical viewpoint of affective and cognitive interactions in learning

Inés M. Gómez-Chacón

pp.155-174

https://doi.org/10.1007/978-3-319-72170-5_10
ICMI 1966–2016

a double insiders' view of the latest half century of the international commission on mathematical instruction

Bernard R. HodgsonMogens Niss

pp.229-247

https://doi.org/10.1007/978-3-319-72170-5_14
Constructing dynamic geometry

insights from a study of teaching practices in English schools

Kenneth Ruthven

pp.521-540

https://doi.org/10.1007/978-3-319-72170-5_29
About collaborative work

exploring the functional world in a computer-enriched environment

Carmen Sessa

pp.581-599

https://doi.org/10.1007/978-3-319-72170-5_32
Number sense in elementary school children

the uses and meanings given to numbers in different investigative situations

Alina Galvão Spinillo

pp.639-650

https://doi.org/10.1007/978-3-319-72170-5_35
Uncovering Chinese pedagogy

spiral variation—the unspoken principle of algebra thinking used to develop chinese curriculum and instruction of the "two basics"

Xuhua Sun

pp.651-667

https://doi.org/10.1007/978-3-319-72170-5_36
Noticing in pre-service teacher education

research lessons as a context for reflection on learners' mathematical reasoning and sense-making

Helena Wessels

pp.731-748

https://doi.org/10.1007/978-3-319-72170-5_41
Dialogues on numbers

script-writing as approximation of practice

Rina Zazkis

pp.749-767

https://doi.org/10.1007/978-3-319-72170-5_42
Equity in mathematics education

what did timss and pisa tell us in the last two decades?

Yan Zhu

pp.769-786

https://doi.org/10.1007/978-3-319-72170-5_43

Publication details

Publisher: Springer

Place: Dordrecht

Year: 2018

Pages: 786

Series: ICME-13 Monographs

ISBN (hardback): 978-3-319-72169-9

ISBN (digital): 978-3-319-72170-5

Full citation:

Kaiser Gabriele, Forgasz Helen, Graven Mellony, Kuzniak Alain, Simmt Elaine, Xu Binyan (2018) Invited lectures from the 13th international congress on mathematical education. Dordrecht, Springer.