Spatial structuring, enumeration and errors of S.E.N. students working with 3D arrays

TY - CHAP

T1 - Spatial structuring, enumeration and errors of S.E.N. students working with 3D arrays

AU - Finesilver, Carla

PY - 2015

Y1 - 2015

N2 - The move from understanding and working with arithmetical structures in one dimension (i.e. additive) to two or more dimensions (i.e. multiplicative) requires a significant change in children's thinking. This paper investigates the varied and developing strategies and understandings of young people struggling with that change, through a series of 3D array enumeration tasks. Participants relied heavily on counting-based strategies, and a new analytical framework is proposed with which to diagnose initial (mis-)conceptions and observe microprogressions on the path towards multiplicative understanding.

AB - The move from understanding and working with arithmetical structures in one dimension (i.e. additive) to two or more dimensions (i.e. multiplicative) requires a significant change in children's thinking. This paper investigates the varied and developing strategies and understandings of young people struggling with that change, through a series of 3D array enumeration tasks. Participants relied heavily on counting-based strategies, and a new analytical framework is proposed with which to diagnose initial (mis-)conceptions and observe microprogressions on the path towards multiplicative understanding.

KW - NUMERACY

KW - Multiplicative reasoning

KW - SPECIAL NEEDS

M3 - Conference paper

SP - 252

EP - 258

BT - Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education

PB - Charles University in Prague, Faculty of Education and ERME

CY - Prague, Czech Republic

ER -