Understanding estimation and its relation to engineering education

A wide variety of engineering activities benefit from the use of rough estimates of the type commonly referred to as back-of-the-envelope calculations. These include evaluating the feasibility of an idea, planning experiments, sizing components, and setting up and checking detailed analyses. The overall goals of this thesis were to understand how people make rough estimates for physical quantities and to understand how that activity relates to undergraduate engineering education. The specific objectives of this thesis were to describe the nature and extent of mechanical engineering students' estimation capabilities, to develop a framework describing estimation activity and to characterize the relationship between rough estimation activities and learning activities. The intent of these objectives was to develop conceptual knowledge useful for assessing and teaching rough estimation skills as well as for guiding estimation activity in practice. Students were found to have considerable difficulty making estimates for common engineering quantities, such as force and energy. Students were also found to have difficulty applying basic engineering concepts in rough estimation situations even at the senior level. In order to identify concepts that give students difficulty, a new assessment method based on students' ability to associate correct units with common engineering quantities was developed. The mediated action framework that was developed consists of three components: effective actions people take when they make estimates, mediating characteristics and the resulting limitations imposed on these actions, and compensation methods people use to circumvent these limitations. The primary focus of this thesis was on identifying the effective actions. A set of effective actions was identified that was sufficient to describe a large number of people's solutions to a variety of estimation problems. The relationship between rough estimation and engineering curricula was examined by comparing rough estimation activities in practice and learning activities in curricula. Rough estimation activities were found to be incongruent with typical undergraduate engineering curricula. The differences between these activities suggest ways in which curricula might be changed to improve students' estimation skills. Thesis Supervisor: Woodie Flowers Title: Pappalardo Professor of Mechanical Engineering Thank you Woodie, Jeanne, Warren, Karl, Julie, Matt and especially Connie.

[1]  Rochel Gelman,et al.  Measurement Estimation: Learning to Map the Route From Number to Quantity and Back , 1998 .

[2]  Thomas Szirte,et al.  Applied dimensional analysis and modeling , 1997 .

[3]  John Harte,et al.  Consider a Spherical Cow: A course in environmental problem solving , 1985 .

[4]  James R. Spotila,et al.  Consider a Spherical Lizard: Animals, Models, and Approximations , 1992 .

[5]  Allen Newell,et al.  Human Problem Solving. , 1973 .

[6]  Woodie C. Flowers,et al.  Integrating Engineering Science and Design: A Definition and Discussion* , 2001 .

[7]  C. H. Dorst,et al.  Describing Design - A comparison of paradigms , 1997 .

[8]  Karl A. Smith,et al.  How to Model It: Problem Solving for the Computer Age , 1994 .

[9]  R. Siegler,et al.  Metrics and mappings: a framework for understanding real-world quantitative estimation. , 1993, Psychological review.

[10]  Thomas T. Woodson,et al.  Introduction to engineering design , 1966 .

[11]  Norman S. Nise,et al.  Control Systems Engineering , 1991 .

[12]  Jo-Anne LeFevre,et al.  The Development of Procedural and Conceptual Knowledge in Computational Estimation. , 1993 .

[13]  A. Schoenfeld Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint) , 2009 .

[14]  Crispin Mount Miller So can you build one? : learning through designing--connecting theory with hardware in engineering education , 1995 .

[15]  Gerald F. Smith,et al.  Defining real world problems: a conceptual language , 1993, IEEE Trans. Syst. Man Cybern..

[16]  Daniel Kahneman,et al.  Availability: A heuristic for judging frequency and probability , 1973 .

[17]  Andrew N. Hrymak,et al.  Developing Problem Solving Skills: The McMaster Problem Solving Program , 1997 .

[18]  R. J. Bogumil,et al.  The reflective practitioner: How professionals think in action , 1985, Proceedings of the IEEE.

[19]  G. V. Meledin Think Fast! The Art of Estimating. , 1991 .

[20]  K. A. Ericsson,et al.  Protocol Analysis: Verbal Reports as Data , 1984 .

[21]  D. Schoen,et al.  The Reflective Practitioner: How Professionals Think in Action , 1985 .

[22]  H. Motz Teaching Engineering , 1967, Nature.