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ERIC Number: EJ794013
Record Type: Journal
Publication Date: 2005
Pages: 6
Abstractor: ERIC
Reference Count: 6
ISSN: ISSN-1326-0286
Modelling Proportional Thinking with Threes and Twos
Tabart, Paul; Skalicky, Jane; Watson, Jane
Australian Primary Mathematics Classroom, v10 n3 p27-32 2005
The authors discuss proportional reasoning as a challenging yet central concept for students in the middle grades that lays a foundation for mathematics studied later in high school. Four types of proportional reasoning problems are discussed: (1) Part-part-whole (comparing a subset (part) of a whole with its complement (other part) or the whole itself); (2) Associated sets (relating two quantities, not ordinarily associated, through a problem context or situation); (3) Well-known measures (expressing well-known entities or rates); and (4) Stretching and shrinking (scaling relationships between continuous, rather than discrete, quantities). The writers note that use of contexts relevant outside the classroom may reinforce differences and similarities and give both teachers and students something concrete to recall and contribute to understanding. Recognizing connections among mathematical topics, and specifically drawing attention to them, gives students an expectation that the ideas they learn are useful in solving other problems and exploring other concepts. The use of context also illustrates the authors' belief that quantitative literacy is essential across the curriculum to build links between mathematical concepts and their applications. (Contains 8 figures.)
Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide 5001, South Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A