Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Keywords
(4)
Correlation Coefficient
Problem Solving
Regression Analysis
Student Learning
Subscribe
Academic
Publications
On the Usefulness and Limitations of Diagrams in Statistical Training
On the Usefulness and Limitations of Diagrams in Statistical Training,Atsushi Terao
Edit
On the Usefulness and Limitations of Diagrams in Statistical Training
BibTex

RIS

RefWorks
Download
Atsushi Terao
The purpose of this study was to examine the use fulness and limitations of vector diagrams, con sisting of lines with arrows representing variables, in statistical training. Nineteen undergraduates learned advanced level statistics either with vec tor diagrams or in the conventional way and solved three problems. Vector diagrams sometimes helped the students understand descriptions in the text which were difficult in conventional explanations, but caused other difficulties. Vector diagrams were useful for solving one of the three problems, but not the other two. It is concluded that a property of di agrams or formulae can be a doubleedged sword. Students who are majoring in psychology or other relevant disciplines have to study statistics. Despite substantial effort by teachers, understanding statis tics is often difficult for many students. This paper reports the results of a practical experiment in which the students learned to employ either "vector dia grams" or a conventional formulabased approach to the basics of regression analysis. The students were then asked to solve three problems using the given technique they learned. Unlike many previous studies on using diagrams in educational settings, which focus only on the useful ness of diagrams, this study also investigates limita tions of diagrams. Research on diagrammatic rea soning has found many "good" properties of dia grams (e.g., Barwise & Etchmendy, 1996; Cheng & Simon, 1995; Larkin & Simon, 1987). The re searchers seem to consider these properties as if they are always support (at least do not impair) under standing and problem solving. The results of this study suggest that the same property, which defi nitely makes the solution of a problem easy, some times makes another problem difficult. Similarly, the results suggest that formulae do not necessarily have "bad" properties. The vector diagrams used in this study consist of several vectors drawn as lines with arrows, each of which corresponds to a variable. For example, the
correlation coefficient
is defined as cosθ where θ is the angle between two vectors, ~
Cumulative
Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
(
www.cogsci.northwestern.edu
)
References
(2)
Why a Diagram is (Sometimes) Worth Ten Thousand Words
(
Citations: 1177
)
Jill H. Larkin
,
Herbert A. Simon
Journal:
Cognitive Science  COGSCI
, vol. 11, no. 1, pp. 65100, 1987
Visual information and valid reasoning
(
Citations: 82
)
J. Barwise
,
J. Etchemendy
Published in 1990.