Mathematizing Basic Addition

Allen Leung; Simon Hung

doi:10.1007/978-981-10-7153-9_8

Mathematizing Basic Addition

Allen Leung^*, Simon Hung

^*Corresponding author for this work

Research output: Chapter in book/report/conference proceeding › Chapter › peer-review

Abstract

This chapter discusses teaching and learning of addition in early years under the mathematization framework. Addition-by-counting and the principle of Break-Apart-and-Make-Ten (BAMT) are used as examples to illustrate theoretical constructs in the process of mathematization: guided re-invention, horizontal and vertical mathematizations and the emergent modelling. The mathematizing process of addition is interpreted as progressive refinement of discourse mixing the gestural, verbal, iconic and symbolic registers. Subitizing is discussed under the interplay between mathematization and a materialist approach to mathematics.

Original language	English
Title of host publication	Forging Connections in Early Mathematics Teaching and Learning
Editors	Virginia Kinnear, Mun Yee Lai, Tracey Muir
Place of Publication	Singapore
Publisher	Springer
Pages	139-154
Number of pages	16
ISBN (Electronic)	9789811071539
ISBN (Print)	9789811071515, 9789811355950
DOIs	https://doi.org/10.1007/978-981-10-7153-9_8
Publication status	Published - 13 Dec 2017

Publication series

Name	Early Mathematics Learning and Development
Publisher	Springer
ISSN (Print)	2213-9273
ISSN (Electronic)	2213-9281

Access to Document

10.1007/978-981-10-7153-9_8

Cite this

@inbook{7beabe3796d14808a901cbaa577a3fa7,

title = "Mathematizing Basic Addition",

abstract = "This chapter discusses teaching and learning of addition in early years under the mathematization framework. Addition-by-counting and the principle of Break-Apart-and-Make-Ten (BAMT) are used as examples to illustrate theoretical constructs in the process of mathematization: guided re-invention, horizontal and vertical mathematizations and the emergent modelling. The mathematizing process of addition is interpreted as progressive refinement of discourse mixing the gestural, verbal, iconic and symbolic registers. Subitizing is discussed under the interplay between mathematization and a materialist approach to mathematics.",

author = "Allen Leung and Simon Hung",

note = "Publisher Copyright: {\textcopyright} 2018 Springer Nature Singapore Pte Ltd.",

year = "2017",

month = dec,

day = "13",

doi = "10.1007/978-981-10-7153-9_8",

language = "English",

isbn = "9789811071515",

series = "Early Mathematics Learning and Development",

publisher = "Springer",

pages = "139--154",

editor = "Virginia Kinnear and Lai, {Mun Yee} and Tracey Muir",

booktitle = "Forging Connections in Early Mathematics Teaching and Learning",

}

TY - CHAP

T1 - Mathematizing Basic Addition

AU - Leung, Allen

AU - Hung, Simon

PY - 2017/12/13

Y1 - 2017/12/13

N2 - This chapter discusses teaching and learning of addition in early years under the mathematization framework. Addition-by-counting and the principle of Break-Apart-and-Make-Ten (BAMT) are used as examples to illustrate theoretical constructs in the process of mathematization: guided re-invention, horizontal and vertical mathematizations and the emergent modelling. The mathematizing process of addition is interpreted as progressive refinement of discourse mixing the gestural, verbal, iconic and symbolic registers. Subitizing is discussed under the interplay between mathematization and a materialist approach to mathematics.

AB - This chapter discusses teaching and learning of addition in early years under the mathematization framework. Addition-by-counting and the principle of Break-Apart-and-Make-Ten (BAMT) are used as examples to illustrate theoretical constructs in the process of mathematization: guided re-invention, horizontal and vertical mathematizations and the emergent modelling. The mathematizing process of addition is interpreted as progressive refinement of discourse mixing the gestural, verbal, iconic and symbolic registers. Subitizing is discussed under the interplay between mathematization and a materialist approach to mathematics.

UR - https://link.springer.com/chapter/10.1007/978-981-10-7153-9_8

U2 - 10.1007/978-981-10-7153-9_8

DO - 10.1007/978-981-10-7153-9_8

M3 - Chapter

SN - 9789811071515

SN - 9789811355950

T3 - Early Mathematics Learning and Development

SP - 139

EP - 154

BT - Forging Connections in Early Mathematics Teaching and Learning

A2 - Kinnear, Virginia

A2 - Lai, Mun Yee

A2 - Muir, Tracey

PB - Springer

CY - Singapore

ER -

Mathematizing Basic Addition

Abstract

Publication series

Access to Document

Other files and links

Cite this