Number sense, place value and "odometer" principle in decimal numeration: Adding 1 tenth and 1 hundredth
Baturo, Annette R. (2002) Number sense, place value and "odometer" principle in decimal numeration: Adding 1 tenth and 1 hundredth. In Cockburn, Anne D. & Nardi, Elena (Eds.) 26th Annual Conference of the International Group for the Psychology of Mathematics Education, 2002, Norwich, UK.
Having a facility with numbers (whole numbers and decimals) is essential for life skills. It requires an understanding and coordination of several powerful mathematical concepts (e.g., place value, additive and multiplicative fields, the role of zero, seriation) and principles (e.g., "odometer", associative, commutative distribute) (Baturo, 2000). This paper reports on 329 Year 6 students’ proficiency with seriation of tenths and hundredths when instruction in these two places was complete. They were asked to add 1 tenth and 1 hundredth to a variety of given numbers with the overall results of 53.6% and 54.6% respectively. These results were evaluated in terms of the students’ responses to basic place value tasks. This paper analyses the mathematical structure of the tasks, discusses some common error patterns discerned, and draws inferences for teaching.
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|Item Type:||Conference Paper|
|Keywords:||mathematics, numeration, decimal number, regrouping, counting, multiplicative, place value, addition|
|Subjects:||Australian and New Zealand Standard Research Classification > EDUCATION (130000) > SPECIALIST STUDIES IN EDUCATION (130300)|
|Divisions:||Current > QUT Faculties and Divisions > Faculty of Education|
|Copyright Owner:||Copyright 2002 PME|
|Copyright Statement:||The contents of this conference can be freely accessed online (see link).|
|Deposited On:||01 Mar 2006|
|Last Modified:||09 Jun 2010 22:30|
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