Whodunit? Exploring Proportional Reasoning Through the Footprint Problem

Karen Koellner-Clark; Richard Lesh

doi:10.1111/j.1949-8594.2003.tb18224.x

Whodunit? Exploring Proportional Reasoning Through the Footprint Problem

Karen Koellner-Clark, Richard Lesh

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

This paper describes a proportional reasoning problem set within a real-life context and a complete analysis of one small group discussion of this problem over the course of a 90-minute block. The seventh-grade students' discourse is described to provide insights into typical mathematical interpretations of this problem, as well as some generalizations for other problems of this type. The interpretations provided reveal the gradual development of proportional reasoning in a local context from additive to multiplicative understandings.

Original language	English (US)
Pages (from-to)	92-98
Number of pages	7
Journal	School Science and Mathematics
Volume	103
Issue number	2
DOIs	https://doi.org/10.1111/j.1949-8594.2003.tb18224.x
State	Published - Feb 2003
Externally published	Yes

ASJC Scopus subject areas

Mathematics (miscellaneous)
Education
Engineering (miscellaneous)
Physics and Astronomy (miscellaneous)
History and Philosophy of Science

Access to Document

10.1111/j.1949-8594.2003.tb18224.x

Cite this

@article{83abf07c5e3843fdba16b32e6796c58f,

title = "Whodunit? Exploring Proportional Reasoning Through the Footprint Problem",

abstract = "This paper describes a proportional reasoning problem set within a real-life context and a complete analysis of one small group discussion of this problem over the course of a 90-minute block. The seventh-grade students' discourse is described to provide insights into typical mathematical interpretations of this problem, as well as some generalizations for other problems of this type. The interpretations provided reveal the gradual development of proportional reasoning in a local context from additive to multiplicative understandings.",

author = "Karen Koellner-Clark and Richard Lesh",

note = "Publisher Copyright: 2003 School Science and Mathematics Association.",

year = "2003",

month = feb,

doi = "10.1111/j.1949-8594.2003.tb18224.x",

language = "English (US)",

volume = "103",

pages = "92--98",

journal = "School Science and Mathematics",

issn = "0036-6803",

publisher = "John Wiley and Sons Inc.",

number = "2",

}

TY - JOUR

T1 - Whodunit? Exploring Proportional Reasoning Through the Footprint Problem

AU - Koellner-Clark, Karen

AU - Lesh, Richard

N1 - Publisher Copyright: 2003 School Science and Mathematics Association.

PY - 2003/2

Y1 - 2003/2

N2 - This paper describes a proportional reasoning problem set within a real-life context and a complete analysis of one small group discussion of this problem over the course of a 90-minute block. The seventh-grade students' discourse is described to provide insights into typical mathematical interpretations of this problem, as well as some generalizations for other problems of this type. The interpretations provided reveal the gradual development of proportional reasoning in a local context from additive to multiplicative understandings.

AB - This paper describes a proportional reasoning problem set within a real-life context and a complete analysis of one small group discussion of this problem over the course of a 90-minute block. The seventh-grade students' discourse is described to provide insights into typical mathematical interpretations of this problem, as well as some generalizations for other problems of this type. The interpretations provided reveal the gradual development of proportional reasoning in a local context from additive to multiplicative understandings.

UR - http://www.scopus.com/inward/record.url?scp=77956440773&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77956440773&partnerID=8YFLogxK

U2 - 10.1111/j.1949-8594.2003.tb18224.x

DO - 10.1111/j.1949-8594.2003.tb18224.x

M3 - Article

AN - SCOPUS:77956440773

SN - 0036-6803

VL - 103

SP - 92

EP - 98

JO - School Science and Mathematics

JF - School Science and Mathematics

IS - 2

ER -

Whodunit? Exploring Proportional Reasoning Through the Footprint Problem

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this