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Within the engineering education community, one of the more powerful
mechanisms known to stimulate conversations about improvements in
engineering education is to ask hard questions about
- What students should be learning and
- How well are they performing.
Recognizing that the Force
Concept Inventory developed by Hestenes and Halloun has encouraged
physicists to re-examine what students are learning in their introductory
physics courses and how these courses might be restructured and
taught differently, faculty members across the FC have been developing
and sharing assessment instruments targeted at areas of interest
to engineering educators. Work began on four concept inventory assessment
instruments in October 2000 while work on three others began in
October 2001. In addition, work continues on instruments designed
to explore students' perceptions and attitudes and on a self-assessment
instrument for teams.
Signal and Systems
Concept Inventory (SSCI)
Thermodynamics
Concept Inventory (TCI),
Electromagnetics
Concept Inventory (EMCI),
Strength of
Materials Concept Inventory (SoMCI),
Student
Perceptions and Attitudes,
Self-Assessment
Instrument for Teams,
Materials
Concept Inventory (MCI) - development started in October 2001,
Fluid Mechanics
Concept Inventory (FMCI) - development started in October 2001,
Circuits Concept
Inventory (CCI) - development started in October 2001,
Each of these field testing instruments is now examined in greater
detail.
Signals and Systems Concept Inventory
Linear signals and systems is a core subject in the undergraduate
electrical and computer engineering curriculum. The Signals and
Systems Concept Inventory (SSCI) is a twenty-five-question, multiple-choice
exam designed to assess students' understanding of fundamental concepts
in this subject. There are separate versions of the SSCI exam for
continuous-time and discrete-time material. John Buck (University
of Massachusetts Dartmouth) and Kathleen Wage (George Mason University)
are the principal developers of the SSCI. More information is available
on the SSCI
website, which includes password-protected versions of the instruments
that are available for distribution.
The continuous-time SSCI (CT-SSCI) is currently at version 2.0,
and faculty members at University of Massachusetts Dartmouth, George
Mason University, the U.S. Air Force Academy, and the U.S. Naval
Academy are doing pre/post testing surveys in undergraduate signals
and systems classes. Preliminary statistical analysis of the results
obtained to date has been initiated to determine if scores can be
correlated with gender, race, grade-point average, and common prerequisite
courses. The analyses will look for race or gender biases and also
will try to characterize which prior academic measures are the best
predictors of exam performance and normalized gain.
The discrete-time SSCI (DT-SSCI) is in "beta" and undergoing
preliminary testing at University of Massachusetts Dartmouth, George
Mason University, and Massachusetts Institute of Technology. Based
on the results of this testing, the DT-SSCI will be revised this
summer for broader testing beginning in the fall of 2002.
In fall 2001, 97 students at GMU, UMD, and the USNA took the CT-SSCI
as a pre-test and a post-test. Motivated by Hake's survey of the
FCI (Hake, 1998), the normalized gain was computed for each student,
as well as normalized gains for each course (based on the average
pre-test and post-test scores for each course). Normalized gain
represents the fraction of the available improvement in score that
was obtained during the course. In analyzing the FCI, Hake showed
that normalized gain is a stable performance measure for courses
that have similar pedagogical formats, regardless of variations
in student background or instructor experience. Analysis of the
97 SSCI exams revealed a normalized gain between pre- and post-
test scores of 0.24 ± 0.08 which is consistent with the results
Hake reported for other concept inventory studies of traditional
lecture courses.
Conference Proceedings Papers
- Wage, K.E., and Buck, J.R., "Development of the Signals
and Systems Concept Inventory (SSCI) Assessment Instrument,"
Proceedings, 2001 Frontiers in Education Conference, Reno, NV,
October 2001.
- Wage, K.E., Buck, J.R., Welch, T.B., and Wright, C.H.G. (2002),
"The Continuous-time Signals and Systems Concept Inventory,"
Proceedings, International Conference on Acoustics Speech and
Signal Processing, Orlando, FL, May 2002
- Wage, K.E., Buck, J.R., Welch, T.B., and Wright, C.H.G. (2002),
"The Signals and Systems Concept Inventory," Proceedings,
American Society of Engineering Education Annual Conference, Montreal,
Quebec, June 2002.
Thermodynamics Concept Inventory
The Thermodynamics Concept Inventory (TCI) was developed by Donovan
Evans (Arizona State University), Clark Midkiff (University of Alabama),
and Thomas Litzinger (Pennsylvania State University) and has been
modified through two semesters of testing. The thirty-three-question
inventory requires approximately thirty minutes to complete. The
first complete cycle of pre- and post-testing of the concept inventory
will conclude at the end of the spring 2002 semester. Faculty members
at the University of Alabama, Pennsylvania State University, Baylor
University and San Jose State University have agreed to test the
instrument in spring 2002. Faculty members at the Franklin W. Olin
College of Engineering in Massachusetts and the Colorado School
of Mines have evaluated or considered using the instrument. Highlights
from early testing are that beginning students often fail to recognize
or exploit situations of constant volume or constant pressure, and
that students have a rudimentary grasp of First Law of Thermodynamics
concepts but perform poorly when Second Law concepts are tested.
Thermodynamics concept testing was studied by a team at the University
of Wisconsin Madison. The evaluation team consisted of Sandy Klein,
Jay Martin, and John Mitchell. This team made slight modifications
to the original and then gave the modified version to two thermodynamics
classes (taught by Klein and Sanders) in the first two weeks of
class. The TCI was given as a homework assignment, collected, and
graded. The TCI was neither returned nor discussed. Evaluation of
the pretest results follows.
Students took less than an hour to complete the inventory. Their
performance shows that they do bring some knowledge of thermodynamics
into the course. However, results also indicate that they do not
fully grasp the concepts of energy balances and entropy (Second
Law of Thermodynamics) at the beginning of the course. These results
are not surprising. Student performance on the thermodynamics of
chemical reactions was poor, however, and this result was surprising,
since they have worked on these concepts in previous chemistry courses.
Conference Proceedings Papers
- Midkiff, K.C., Litzinger, T.A., and Evans, D.L., "Development
of Thermodynamics Concept Inventory Instruments," Proceedings,
Frontiers in Education Conference, Reno, NV, October 2001.
Electromagnetics Concept Inventory
The Electromagnetics Concept Inventory (EMCI) is best suited for
junior-level undergraduate electromagnetics (EM) courses in electrical
engineering departments. It can be applied in a variety of undergraduate
and graduate EM-related courses in engineering and physics departments.
EMCI Version 1.0 contains three exams:
- EMCI-Fields (electro and magnetostatic, and time-varying EM
fields),
- EMCI-Waves (uniform plane waves, transmission lines, waveguides,
and antennas), and
- EMCI-Fields & Waves (a combination of the first two exams).
Branislav Notaros at the Colorado State University,
the principal developer of the EMCI, will chair the session on electromagnetics
education at the 2002 IEEE Antennas and Propagation Society International
Symposium, to be held 16-21 June 2002 in San Antonio, Texas.
Conference Proceedings Papers
- Notaros, B.M., "Concept Inventory Assessment Instruments
for Electromagnetics Education," Proceedings, IEEE Antennas
and Propagation Society International Symposium, San Antonio,
Texas, 16-21 June 2002.
Strength of Materials Concept Inventory
The Strength of Materials Concept Inventory (SoMCI) assesses students'
mastery of fundamental concepts in a sophomore mechanics of solids
or strength-of-materials course. Concepts examined include stress,
strain and deformations due to axial, bending, and torsional loads;
failure of ductile and brittle materials, stress transformation,
and axial buckling. Follow-on courses such as structural analysis
(in civil engineering) or machine design (in mechanical engineering)
build directly upon these concepts. Many students typically do not
master some of the more abstract strength of materials concepts
until completion of these follow-on courses. The principal developers
are Jim Richardson (University of Alabama [UA]) and Jim Morgan (Texas
A&M University [TAMU]). Testing began at UA and TAMU in summer
2001, and the SoMCI was available to other schools beginning in
spring 2002.
Conference Proceedings Papers
- Richardson, J., and Morgan, J., "Development of an Engineering
Strength of Material Concept Inventory Assessment Instrument,"
Proceedings, Frontiers in Education Conference, Reno, Nevada,
10-13 October 2001.
Student Perceptions and Attitudes
Student perceptions and attitudes regarding educational experiences
have been shown to contribute significantly to the retention of
students in undergraduate science, math, engineering, and technology
(SMET) programs. For example, studies conducted at Texas A&M
suggested that female students as a group had lower retention, despite
higher incoming preparation and higher performance, when compared
to male students. Findings of this nature have also been reported
elsewhere, supporting the assumption that student perceptions do
help drive persistence and may be based upon issues independent
of a student's academic preparation and grade performance.
Student persistence in SMET disciplines is a matter of national
concern in the context of contemporary life, which is increasingly
affected by scientific, mathematical, and technological innovations.
Hence, generating and sustaining positive attitudes and appropriate
perceptions about SMET disciplines and about learning experiences
in SMET programs has become a matter of great importance among academicians.
The measurement of student perceptions and attitudes has therefore
become a focus of research in a variety of academic programs.
Self Assessment Instrument for Teams
The assessment team at University of Massachusetts Dartmouth revised
and tested the FC team process check (TPC) and developed a team
knowledge test (TKT), both of which can be administered either on
paper or on-line.
The TPC provides a self-report assessment of a team's functioning
and is intended to be administered periodically during the life
of a team. The measure has demonstrated good internal consistency
and has also yielded two meaningful factors. The first factor appears
to assess what may be termed the team's sense of agency or ability
to get the job done well. The second factor is an affiliative or
interpersonal factor, including communication and conflict resolution.
The TPC was found to be correlated with faculty ratings of the teams,
and partial support was found for its capacity to predict outcome
as measured by team project scores.
The TKT is the first draft of a measure intended to assess individual
team members' general knowledge of team issues and concepts. The
development team has used it as a pre/post measure of team knowledge
over a semester's team experience as well as before and after the
use of the team training material that was posted on the Web site
and was assigned by faculty members as part of their courses. Additional
revision will be required to improve the scale and to establish
its reliability and validity. The group also developed two Web sites,
a faculty
guide and a student
team training site, to facilitate the assessments that were
performed and the studies that were conducted. Ultimately, these
Web sites will be incorporated into an ongoing continuous improvement
process of team assessment and training. The team has also begun
to disseminate the tools and the assessment process by reaching
out to several other campuses within the FC to examine the materials
and consider their use.
Conference Proceedings Papers
- Powers, T.A., Sims-Knight, J., Topciu, R.A., Haden, S.C., "Assessing
Team Functioning in Engineering Education," Proceedings,
American Society of Engineering Education Annual Conference, Montreal,
Quebec, June 2002
- Sims-Knight, J., Upchurch, R.L., Powers, T.A., Haden, S.C. and
Topciu, R.A.., "Teams in Software Engineering Education."
submitted to the 2002 Frontiers In Engineering Conference
Materials Concepts Inventory
Stephen Krause (Arizona State University) and Richard Griffin
(Texas A&M University) have been developing a Materials Concepts
Inventory (MCI) during the past six months. Graduate and undergraduate
students majoring in materials have been employed in developing
questions and identifying misconceptions. Undergraduate engineering
students from many disciplines who are taking an Introductory Materials
Science and Engineering course have answered both open-ended and
multiple-choice questions to probe their understanding of fundamental
materials concepts. They have also been interviewed to gain insight
on their background so gaps in knowledge and the origin of misconceptions
can be identified. Basic concepts utilized in developing the questions
include bonding, band structure, crystal structure, defects, atomic
motion, microstructure, solutions, simple thermodynamics, deformation,
and the nature of metals, polymers, ceramics, and semiconductors.
The MCI will be field tested this summer and fall to refine, enhance,
expand, and further understand the nature of misconceptions and
interventions in engineering materials.
Some surprising results have emerged on students' preparation
coming into the class. A few examples are that less than 10% of
the students had heard of simple band theory to explain electrical
and electronic properties of materials, less than 10% realized that
biological and botanical materials (e.g., plants, animals, humans)
have much material composed of the same long-chain structure of
molecules as synthetic polymers have, and less than 20% had a knowledge
or understanding of simple concepts of solubility that are important
in the topic of phase diagrams (e.g., if excess saturated salt sits
at the bottom of a glass of salt-saturated water, the students thought
that adding more salt would increase the concentration of salt in
the solution-it does not). Appropriate interventions using active
learning techniques are being developed to address misconceptions
and gaps in background. Also, discussions will be initiated with
introductory physics and chemistry instructors to see if gaps in
background can be addressed in those courses.
Fluid Mechanics Concept Inventory
Ty Newell (University of Illinois), Jay Martin (University of
Wisconsin), and John Mitchell (University of Wisconsin) met in February
2002 at the University of Wisconsin to develop a taxonomy of fluid
mechanics concepts as the first step in developing the Fluid Mechanics
Concept Inventory (FMCI). Taxonomy has three broad categories: basic
concepts, fundamental fluid relationships, and special cases that
may be of special interest to particular disciplines and could form
the basis for optional sections of the instrument. Basic concepts
encompassed four areas: properties, boundaries, dimensional analysis,
and similarity. Fundamental fluid relationships included two areas:
continuity and momentum. Under continuity three sub areas were outlined:
steady/unsteady fluid flow, compressible/incompressible fluid flow,
and the dimensionality of the physical situation to be analyzed.
For momentum the following outline was developed
1.Ideal (reversible) flow (variations of terms 1, 2, and 3)
Bernoulli flows (terms 1, 2, and 3)
Dynamic pressure (terms 1 and 2)
Momentum/reaction (terms 1 and 2)
Hydrostatics/manometry (terms 2 and 3)
2.Viscous flow (variation of terms 1, 2, 3, and 4)
Pure viscous (term 4)
Low momentum, no gravity (terms 2 and 4)
All effects (terms 1, 2, 3, and 4) - various flow characterizations
i. Parallel flow
ii. Elliptical flow
where 1-terms are momentum terms, 2-terms are pressure gradient
terms, 3-terms are gravity terms, and 4-terms are viscous terms.
Special cases included bluff bodies, airfoils, pipe networks,
turbomachinery, compressible flow, and channel flow.
A draft version of the FMCI will be developed during the summer.
This will then be given as a pretest in the fall semester to classes
at UW and University of Illinois. The results will be evaluated
and the FMCI modified. The FMCI will then be given at the end
of the semester. The cycle will continue until the team judges
that the FMCI is satisfactory; it will then be tested and evaluated
at other schools.
Circuits Concept Inventory
David Rancour (University of Massachusetts Dartmouth), Robert
Helgeland (University of Massachusetts Dartmouth), and Harold
Stern (University of Alabama) are developing the Circuits Concept
Inventory (CCI). Question topics addressed to date include voltage
and current dividers, time constants, dependent sources, bandwidth
and quality factor, resonance, and Bode plots and impulse response.
The first draft of the CCI will be tested on the summer class
of 2002, so assessment data is unavailable at this time.
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