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ERIC Number: EJ1047542
Record Type: Journal
Publication Date: 2014-Nov
Pages: 16
Abstractor: As Provided
Reference Count: 27
ISSN: EISSN-1570-1824
Using an APOS Framework to Understand Teachers' Responses to Questions on the Normal Distribution
Bansilal, Sarah
Statistics Education Research Journal, v13 n2 p42-57 Nov 2014
This study is an exploration of teachers' engagement with concepts embedded in the normal distribution. The participants were a group of 290 in-service teachers enrolled in a teacher development program. The research instrument was an assessment task that can be described as an "unknown percentage" problem, which required the application of properties of the standard normal distribution curve. Responses to the task were analyzed using the Action, Process, Object, Schema (APOS) framework that specified a standardization and a probability layer of understanding. The success rates were 27% and 14% in the two questions, with most teachers experiencing problems in the probability layer because of a failure to link the probability values with the area covered by the curve.
International Association for Statistics Education and the International Statistical Institute. PO Box 24070, 2490 AB The Hague, The Netherlands. Tel: +31-70-3375737; Fax: +31-70-3860025; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: South Africa