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How to Teach and Assess Whole Number Arithmetic: Some International Perspectives
Jarmila Novotná1; Berinderjeet Kaur2; Ann Gervasoni3; Mike Askew3,4; Michiel Veldhuis5; Catherine Pearn6; Xu Hua Sun7
2018
Source PublicationNew ICMI Study Series
PublisherSpringer
Pages251-286
Abstract

This chapter focusses on the diverse theoretical and methodical frameworks that capture the complex relationship between whole number arithmetic (WNA) learning, teaching and assessment. Its aim is to bring these diverse perspectives into conversation. It comprises seven sections. The introduction is followed by a narrative of a Macao primary school lesson on addition calculations with two-digit numbers, and this sets the context for the subsequent three sections that focus on the development of students’ mathematical and metacognitive strategies during their learning of WNA. Apart from examining the impact of teachers’ knowledge of pedagogy, learning trajectories, mathematics and students on children’s learning of WNA, learning theories are also drawn on to interpret the lesson in the Macao Primary School. Two interpretations of the variation theory (VT), an indigenous one and a Western perspective, provide much needed lenses for readers to make sense of the lesson. In addition, the theory of didactical situations (TDS) is also applied to the lesson. The chapter also includes a reflection on possible classroom assessment and the role of textbooks, both of which were less apparent in the lesson, for the teaching and learning of WNA.

DOI10.1007/978-3-319-63555-2_11
URLView the original
Language英語English
ISBN978-3-319-63554-5
Scopus ID2-s2.0-85067975893
Fulltext Access
Citation statistics
Document TypeBook chapter
CollectionFaculty of Education
Affiliation1.Charles University,Prague,Czech Republic,and Laboratoire “Culture et Diffusion des Savoirs”,Université de Bordeaux,Bordeaux,France
2.National Institute of Education,Nanyang Technological University,Singapore,Singapore
3.Monash University,Melbourne,Australia
4.University of the Witwatersrand,Johannesburg,South Africa
5.Utrecht University,Utrecht,Netherlands
6.The University of Melbourne,Melbourne,Australia
7.Faculty of Education,University of Macau,Macao,China
Recommended Citation
GB/T 7714
Jarmila Novotná,Berinderjeet Kaur,Ann Gervasoni,et al. How to Teach and Assess Whole Number Arithmetic: Some International Perspectives[M]. New ICMI Study Series:Springer, 2018, 251-286.
APA Jarmila Novotná., Berinderjeet Kaur., Ann Gervasoni., Mike Askew., Michiel Veldhuis., Catherine Pearn., & Xu Hua Sun (2018). How to Teach and Assess Whole Number Arithmetic: Some International Perspectives. New ICMI Study Series, 251-286.
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