References

Australian Bureau of Statistics (ABS) 2019, ‘Statistical language: quantitative and qualitative data’, accessed 14 September 2020 https://www.abs.gov.au.

Australian Curriculum, Assessment and Reporting Authority (ACARA) 2019, ‘The Australian Curriculum: Mathematics glossary’, accessed 14 September 2020 https://www.australiancurriculum.edu.au.

Charles, R 2005, ‘Big ideas and understandings as the foundation for elementary and middle school mathematics’, Journal of Mathematics Education Leadership, 7 (1), 9–24.

De Klerk, J 2007, The Illustrated Maths Dictionary 4th Edition, Pearson Australia, Melbourne.

Downton, A 2008, ‘Linking multiplication and division in helpful and enjoyable ways for children’, paper presented to the Mathematical Association of Victoria Conference, Melbourne, 4–5 December 2008, accessed 14 September 2020 https://www.mav.vic.edu.au/Conference/MAV19-Conference/Previousannual-conferences.

Gelman R & Gallistel, CR 1978, The child’s understanding of number, Harvard University Press, London.

Gervasoni, A 2011, Mathematics Assessment Interview: Growth Point Descriptions – Number, Measurement and Space growth points, accessed 14 September 2020 https://ceobmaths.weebly.com/uploads/7/1/5/6/7156403/mai_-_growth_points_descriptions.pdf. NB. Growth points not used in 2nd edition

Greer, B 1992, 'Multiplication and division as models of situations' in DA Grouws (ed.), Handbook of research on mathematics teaching and learning, Macmillan, New York, 276–295.

Kieren, TE 1980, 'The rational number construct – Its elements and mechanisms' in TE Kieren (ed.), Recent research on number learning, Columbas, OH, ERIC/SMEAR, 125–149.

Kieren, TE 1988, 'Personal knowledge of rational numbers: Its intuitive and formal development' in J Hiebert & M Behr (eds.), Number concepts and operations in the middle grades, Lawrence Erlbaum Associates & National Council of Teachers of Mathematics, Reston, VA.

Kieren, TE 1993, 'Rational and fractional numbers: From quotient fields to recursive understanding' in TP Carpenter, E Fennema & TA Romberg (eds.), Rational numbers: An integration of research, Lawrence Erlbaum Associates, Hillsdale, NJ, 49–84.

Lehrer, R 2003, ‘Developing understanding of measurement’, in J Kilpatrick, WG Martin & D Schifter (eds), A research companion to principles and standards for school mathematics, National Council of Teachers of Mathematics, Reston, USA, 179–192.

Roche, A 2005, ‘Longer is Larger: Or is it?’, Australian Primary Maths Classroom, 13–14.

Steinle, V & Stacey, K 1998, Students and decimal notations: Do they see what we see? accessed 14 September 2020 https://www.researchgate.net/publication/237577071_Students_and_decimal_notation_Do_they_see_what_we_see.

Van De Walle, J, Karp, K & Bay-Williams, J 2010, Elementary & Middle School Mathematics, Allyn & Bacon, USA.

Vergnaud, G 1988, 'Multiplicative structures' in J Hiebert & M Behr (eds.), Number concepts and operations in the middle grades, 141–161.

Watson J, AAMT top drawer resources – Statistics, AAMT, accessed 14 September 2020 https://topdrawer.aamt.edu.au/Statistics/Big-ideas.