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Research in Engineering Education Symposium 2011 - rees2009

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Universidad Politécnica de Madrid (UPM) Pág<strong>in</strong>a 853 de 957<br />

Difficulty access<strong>in</strong>g the problems<br />

The ambiguity found <strong>in</strong> the open-ended problem statements created a challenge for many<br />

participants as they sought to access the problems and f<strong>in</strong>d a start<strong>in</strong>g po<strong>in</strong>t for their<br />

problem solv<strong>in</strong>g. Many students felt that the problem statements provided <strong>in</strong>sufficient<br />

context. After read<strong>in</strong>g one of the problem statements, Nick engaged <strong>in</strong> a process of selfquestion<strong>in</strong>g<br />

ask<strong>in</strong>g, “I don‘t, well, what do I, what am I support<strong>in</strong>g? Like am I support<strong>in</strong>g<br />

wood? Or am I, what‘s the weight of this platform? Does it matter?” Other students<br />

responded to the perceived lack of context by connect<strong>in</strong>g the problem to a context with<br />

which they were familiar. Andrew, for example, expla<strong>in</strong>ed, “I‘m try<strong>in</strong>g to th<strong>in</strong>k how such a<br />

bridge would be designed and I don‘t see it <strong>in</strong> my head. So, truss bridge. It‘s got someth<strong>in</strong>g<br />

to do with the term truss’ which I th<strong>in</strong>k of as house trusses which are designed similar to<br />

this.”<br />

After read<strong>in</strong>g the problem statements many students were troubled by the lack of<br />

constra<strong>in</strong>ts and/or evaluation criteria that were provided to them. Some of these students<br />

believed that critical <strong>in</strong>formation was miss<strong>in</strong>g from the problem statements. After<br />

read<strong>in</strong>g one problem statement, James argued, “dIt says it‘s a th<strong>in</strong> strand, so you have to<br />

assume some k<strong>in</strong>d of area for that which I‘m not sure how much of a th<strong>in</strong> strand for<br />

someth<strong>in</strong>g that can withstand that k<strong>in</strong>d of force would be. They really should‘ve specified<br />

that <strong>in</strong> the problem.” Daniel, <strong>in</strong> contrast, wondered if the lack of constra<strong>in</strong>ts was a result of<br />

fail<strong>in</strong>g to read the problem statement carefully, expla<strong>in</strong><strong>in</strong>g, “I would still need the<br />

dimensions of the member for that and all I know is the length. Try<strong>in</strong>g to figure out if I am<br />

miss<strong>in</strong>g someth<strong>in</strong>g <strong>in</strong> the problem. I‘m read<strong>in</strong>g aga<strong>in</strong>.”<br />

Several students exhibited considerable uncerta<strong>in</strong>ty as they approached the open-ended<br />

problems. Some of these students felt overwhelmed by the ambiguous nature of these<br />

problems. Sarah‘s approach to one of the problems was to beg<strong>in</strong> search<strong>in</strong>g through the<br />

materials properties tables <strong>in</strong> the back of the supplied textbook. After a quick scan through<br />

the materials <strong>in</strong> the tables she exclaimed, “There‘s a lot! I don‘t really know where to<br />

start.” Ryan‘s approach to one of the problems was similar. He expla<strong>in</strong>ed, “It‘s like a vague<br />

problem so you can really go a lot of different ways with it, so I‘m just like look<strong>in</strong>g at<br />

materials properties.” For other students, the feel<strong>in</strong>g that they were miss<strong>in</strong>g someth<strong>in</strong>g <strong>in</strong><br />

the problem statement—as described <strong>in</strong> the previous category—was the source of their<br />

uncerta<strong>in</strong>ty. While solv<strong>in</strong>g one problem Daniel said, “Um, my plan is to try to figure out if<br />

maybe I can look through the table of contents and f<strong>in</strong>d someth<strong>in</strong>g that will help jog my<br />

bra<strong>in</strong>—try to get me on—because I know there‘s someth<strong>in</strong>g here that I‘m miss<strong>in</strong>g and I<br />

can‘t quite figure out what it is. It seems like I don‘t have enough <strong>in</strong>formation to solve the<br />

problem right now.”<br />

Processes used to deal with ambiguity<br />

Students described us<strong>in</strong>g different k<strong>in</strong>ds of plans, or processes, to deal with the ambiguity<br />

they found <strong>in</strong> the problems. Some students used an equation-oriented plan, or process,<br />

<strong>in</strong> response to the ambiguity <strong>in</strong> the problems. Daniel, for example, worked through the<br />

various knowns and unknowns that he encountered <strong>in</strong> one problem and searched through<br />

the textbook to f<strong>in</strong>d equations that he could use to relate them together, expla<strong>in</strong><strong>in</strong>g, “So we<br />

Proceed<strong>in</strong>gs of <strong>Research</strong> <strong>in</strong> Eng<strong>in</strong>eer<strong>in</strong>g <strong>Education</strong> <strong>Symposium</strong> <strong>2011</strong><br />

Madrid, 4 th - 7 th October <strong>2011</strong>

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