Emerging and developing multiplicative structure in students’ visuospatial representations: Four key configuration types

Carla Finesilver

Emerging and developing multiplicative structure in students’ visuospatial representations: Four key configuration types

Carla Finesilver

School of Education, Communication & Society

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

59 Downloads (Pure)

Abstract

Visuospatial representations of quantities and their relations are widely used to support the understanding of basic arithmetic, including multiplicative relationships. These include drawn imagery and concrete manipulatives. This paper defines four particular configurations of nonstandard representation according to the spatial organization of their visual elements. These are: unit containers, unit arrays, array-container blends, and number containers, all of which have been observed to support developing multiplicative thinking, allowing low-attaining students to work with the equal-groups structures of natural number multiplication- and division-based tasks. Student-created examples are discussed, and pedagogical and diagnostic implications considered.

Original language	English
Title of host publication	Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education
Place of Publication	Dublin, Republic of Ireland
Pages	3920-3927
Publication status	Published - 2017

Keywords

visuospatial representation
multiplicative thinking
arithmetical strategies
low attainment

Access to Document

Emerging and developing multiplicative_FINESILVER_Accepted2017_GREEN AAMAccepted author manuscript, 512 KB

Cite this

@inbook{6b66bb93419c4fca96503253b987b9ab,

title = "Emerging and developing multiplicative structure in students{\textquoteright} visuospatial representations: Four key configuration types",

abstract = "Visuospatial representations of quantities and their relations are widely used to support the understanding of basic arithmetic, including multiplicative relationships. These include drawn imagery and concrete manipulatives. This paper defines four particular configurations of nonstandard representation according to the spatial organization of their visual elements. These are: unit containers, unit arrays, array-container blends, and number containers, all of which have been observed to support developing multiplicative thinking, allowing low-attaining students to work with the equal-groups structures of natural number multiplication- and division-based tasks. Student-created examples are discussed, and pedagogical and diagnostic implications considered.",

keywords = "visuospatial representation, multiplicative thinking, arithmetical strategies, low attainment",

author = "Carla Finesilver",

year = "2017",

language = "English",

pages = "3920--3927",

booktitle = "Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education",

}

Emerging and developing multiplicative structure in students’ visuospatial representations: Four key configuration types. / Finesilver, Carla.
Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education. Dublin, Republic of Ireland, 2017. p. 3920-3927.

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

TY - CHAP

T1 - Emerging and developing multiplicative structure in students’ visuospatial representations

T2 - Four key configuration types

AU - Finesilver, Carla

PY - 2017

Y1 - 2017

N2 - Visuospatial representations of quantities and their relations are widely used to support the understanding of basic arithmetic, including multiplicative relationships. These include drawn imagery and concrete manipulatives. This paper defines four particular configurations of nonstandard representation according to the spatial organization of their visual elements. These are: unit containers, unit arrays, array-container blends, and number containers, all of which have been observed to support developing multiplicative thinking, allowing low-attaining students to work with the equal-groups structures of natural number multiplication- and division-based tasks. Student-created examples are discussed, and pedagogical and diagnostic implications considered.

AB - Visuospatial representations of quantities and their relations are widely used to support the understanding of basic arithmetic, including multiplicative relationships. These include drawn imagery and concrete manipulatives. This paper defines four particular configurations of nonstandard representation according to the spatial organization of their visual elements. These are: unit containers, unit arrays, array-container blends, and number containers, all of which have been observed to support developing multiplicative thinking, allowing low-attaining students to work with the equal-groups structures of natural number multiplication- and division-based tasks. Student-created examples are discussed, and pedagogical and diagnostic implications considered.

KW - visuospatial representation

KW - multiplicative thinking

KW - arithmetical strategies

KW - low attainment

M3 - Conference paper

SP - 3920

EP - 3927

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

CY - Dublin, Republic of Ireland

ER -

Emerging and developing multiplicative structure in students’ visuospatial representations: Four key configuration types

Abstract

Keywords

Access to Document

Fingerprint

Cite this