The games we play: Assessing algebraic thinking through arithmetic activities

Judith Louise Falle

The games we play: Assessing algebraic thinking through arithmetic activities

Judith Louise Falle

School of Education

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

Abstract

Students in the later years of primary school, or early years of secondary school often have fragile understandings of number facts, inefficient fact recall and computational strategies, and a limited understanding of number relationships or the meaning of equals. Hence, they are unprepared for the transition to algebra, which marks, or mars, the early years of secondary schooling. This paper describes four activities that develop deep arithmetic understandings that are essential for students' engagement in formal algebra. The activities also provide a context for mathematical discussions and rich assessment potential.

Original language	English
Title of host publication	Mathematics: Essential for Learning, Essential for Life. Proceedings of the 21st Biennial Conference of the Australian Association of Mathematics Teachers Inc
Editors	Ken Milton, Howard Reeves, Toby Spencer
Place of Publication	Adelaide, Australia
Publisher	Australia Association of Mathematics Teachers
Pages	155-162
ISBN (Print)	9781875900633
Publication status	Published - 2007
Event	AAMT 2007: 21st Australian Association of Mathematics Teachers Biennial Conference - Hobart, Australia Duration: 6 Jul 2007 → 9 Jul 2007

Conference

Conference	AAMT 2007: 21st Australian Association of Mathematics Teachers Biennial Conference
City	Hobart, Australia
Period	6/07/07 → 9/07/07

Keywords

Mathematics and Numeracy Curriculum and Pedagogy

Access to Document

https://hdl.handle.net/1959.11/10954

Handle.net

Persistent link

Cite this

Falle, J. L. (2007). The games we play: Assessing algebraic thinking through arithmetic activities. In K. Milton, H. Reeves, & T. Spencer (Eds.), Mathematics: Essential for Learning, Essential for Life. Proceedings of the 21st Biennial Conference of the Australian Association of Mathematics Teachers Inc (pp. 155-162). Australia Association of Mathematics Teachers. https://hdl.handle.net/1959.11/10954

Falle, Judith Louise. / The games we play : Assessing algebraic thinking through arithmetic activities. Mathematics: Essential for Learning, Essential for Life. Proceedings of the 21st Biennial Conference of the Australian Association of Mathematics Teachers Inc. editor / Ken Milton ; Howard Reeves ; Toby Spencer. Adelaide, Australia : Australia Association of Mathematics Teachers, 2007. pp. 155-162

@inproceedings{443b699423c84b6e840532324498e08f,

title = "The games we play: Assessing algebraic thinking through arithmetic activities",

abstract = "Students in the later years of primary school, or early years of secondary school often have fragile understandings of number facts, inefficient fact recall and computational strategies, and a limited understanding of number relationships or the meaning of equals. Hence, they are unprepared for the transition to algebra, which marks, or mars, the early years of secondary schooling. This paper describes four activities that develop deep arithmetic understandings that are essential for students' engagement in formal algebra. The activities also provide a context for mathematical discussions and rich assessment potential.",

keywords = "Mathematics and Numeracy Curriculum and Pedagogy",

author = "Falle, \{Judith Louise\}",

year = "2007",

language = "English",

isbn = "9781875900633",

pages = "155--162",

editor = "Ken Milton and Howard Reeves and Toby Spencer",

booktitle = "Mathematics: Essential for Learning, Essential for Life. Proceedings of the 21st Biennial Conference of the Australian Association of Mathematics Teachers Inc",

publisher = "Australia Association of Mathematics Teachers",

note = "AAMT 2007: 21st Australian Association of Mathematics Teachers Biennial Conference ; Conference date: 06-07-2007 Through 09-07-2007",

}

Falle, JL 2007, The games we play: Assessing algebraic thinking through arithmetic activities. in K Milton, H Reeves & T Spencer (eds), Mathematics: Essential for Learning, Essential for Life. Proceedings of the 21st Biennial Conference of the Australian Association of Mathematics Teachers Inc. Australia Association of Mathematics Teachers, Adelaide, Australia, pp. 155-162, AAMT 2007: 21st Australian Association of Mathematics Teachers Biennial Conference, Hobart, Australia, 6/07/07. <https://hdl.handle.net/1959.11/10954>

The games we play: Assessing algebraic thinking through arithmetic activities. / Falle, Judith Louise.
Mathematics: Essential for Learning, Essential for Life. Proceedings of the 21st Biennial Conference of the Australian Association of Mathematics Teachers Inc. ed. / Ken Milton; Howard Reeves; Toby Spencer. Adelaide, Australia: Australia Association of Mathematics Teachers, 2007. p. 155-162.

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

TY - GEN

T1 - The games we play

T2 - AAMT 2007: 21st Australian Association of Mathematics Teachers Biennial Conference

AU - Falle, Judith Louise

PY - 2007

Y1 - 2007

N2 - Students in the later years of primary school, or early years of secondary school often have fragile understandings of number facts, inefficient fact recall and computational strategies, and a limited understanding of number relationships or the meaning of equals. Hence, they are unprepared for the transition to algebra, which marks, or mars, the early years of secondary schooling. This paper describes four activities that develop deep arithmetic understandings that are essential for students' engagement in formal algebra. The activities also provide a context for mathematical discussions and rich assessment potential.

AB - Students in the later years of primary school, or early years of secondary school often have fragile understandings of number facts, inefficient fact recall and computational strategies, and a limited understanding of number relationships or the meaning of equals. Hence, they are unprepared for the transition to algebra, which marks, or mars, the early years of secondary schooling. This paper describes four activities that develop deep arithmetic understandings that are essential for students' engagement in formal algebra. The activities also provide a context for mathematical discussions and rich assessment potential.

KW - Mathematics and Numeracy Curriculum and Pedagogy

UR - http://www.aamt.edu.au/Professional-reading/AAMT-conferences/Proceedings

M3 - Conference contribution

SN - 9781875900633

SP - 155

EP - 162

BT - Mathematics: Essential for Learning, Essential for Life. Proceedings of the 21st Biennial Conference of the Australian Association of Mathematics Teachers Inc

A2 - Milton, Ken

A2 - Reeves, Howard

A2 - Spencer, Toby

PB - Australia Association of Mathematics Teachers

CY - Adelaide, Australia

Y2 - 6 July 2007 through 9 July 2007

ER -

Falle JL. The games we play: Assessing algebraic thinking through arithmetic activities. In Milton K, Reeves H, Spencer T, editors, Mathematics: Essential for Learning, Essential for Life. Proceedings of the 21st Biennial Conference of the Australian Association of Mathematics Teachers Inc. Adelaide, Australia: Australia Association of Mathematics Teachers. 2007. p. 155-162

The games we play: Assessing algebraic thinking through arithmetic activities

Abstract

Conference

Keywords

Access to Document

Handle.net

Fingerprint

Cite this