ERIC Number: EJ1023476
Record Type: Journal
Publication Date: 2013
Pages: 23
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1098-6065
EISSN: N/A
Available Date: N/A
Formative Use of Intuitive Analysis of Variance
Trumpower, David L.
Mathematical Thinking and Learning: An International Journal, v15 n4 p291-313 2013
Students' informal inferential reasoning (IIR) is often inconsistent with the normative logic underlying formal statistical methods such as Analysis of Variance (ANOVA), even after instruction. In two experiments reported here, student's IIR was assessed using an intuitive ANOVA task at the beginning and end of a statistics course. In both experiments, students were provided feedback regarding the normative logic underlying ANOVA and how their reasoning compared with it. Additionally, students in Experiment 2 were given an assignment in which they analyzed and interpreted other students' performance on the intuitive ANOVA task. Results indicate that the feedback combined with the assignment (which required active explanation of both normative and non-normative reasoning applied to the task) led to more normative inferential reasoning at the end of the course, whereas providing feedback alone did not. Implications are discussed for using the intuitive ANOVA task as a formative classroom tool to help students improve their conceptual understanding of ANOVA.
Descriptors: Statistical Analysis, Intuition, Inferences, Thinking Skills, Logical Thinking, Higher Education, Introductory Courses, Foreign Countries, Pretests Posttests, Data Analysis, Evidence, Learning Processes, Writing Assignments, Experimental Groups, Comparative Analysis, Statistical Significance, Statistics, Concept Formation, Mixed Methods Research
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Canada; Canada (Ottawa)
Grant or Contract Numbers: N/A
Author Affiliations: N/A