Publication Date
1993
Document Type
Dissertation/Thesis
First Advisor
Ditrichs, Raymond
Degree Name
M.A. (Master of Arts)
Legacy Department
Department of Psychology
LCSH
Word problems (Mathematics); Mathematics--Study and teaching; Mathematics--Study and teaching--Psychological aspects
Abstract
The current study proposed an extension to the 1985 Kintsch and Greeno model of mathematical word problem solving. The current extension took concepts expressed in the Kintsch and Greeno model and extended these concepts to multiplication and division. The main concepts used in the present study were sets and relations among sets. This study tried to explain how people read problems, translate the text into mathematical ideas, and obtain a solution to the problem. Reading times were used to get an indication of processing, and subjects had to state which operation would be used to solve the problem and give an estimate as to the size of the answer to the problem. The current study also tested some simple approaches that people may use to solve word problems, mainly multiplication makes bigger/ division makes smaller, nonconservation of operations, and the absorption effect. The data collected support the current extension to the Kintsch and Greeno model. The data also supported the idea of multiplication makes bigger/ division makes smaller but refuted the idea of nonconservation of operations.
Recommended Citation
Geiger, John F., "Mathematical word problems : the influence of problem type, number type, and mathematical operation on reading times, choice of operation, and estimate of answer size" (1993). Graduate Research Theses & Dissertations. 3905.
https://huskiecommons.lib.niu.edu/allgraduate-thesesdissertations/3905
Extent
98 pages
Language
eng
Publisher
Northern Illinois University
Rights Statement
In Copyright
Rights Statement 2
NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.
Media Type
Text
Comments
Includes bibliographical references (pages [67]-68)