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NSF GRANT CMMI-0555851NSF PROGRAM NAME: Eng<strong>in</strong>eer<strong>in</strong>g <strong>Design</strong><str<strong>on</strong>g>Ideati<strong>on</strong></str<strong>on</strong>g> <str<strong>on</strong>g>Methods</str<strong>on</strong>g> <str<strong>on</strong>g>Build<strong>in</strong>g</str<strong>on</strong>g> <strong>on</strong> <strong>Fundamental</strong><strong>Studies</strong> <strong>in</strong> <strong>Design</strong> <strong>by</strong> AnalogyChrist<strong>in</strong>a K. WhiteTeachers CollegeUniversity of ColumbiaKrist<strong>in</strong> L. Wood and Jas<strong>on</strong> WeaverManufactur<strong>in</strong>g and <strong>Design</strong> LabThe University of Texas at Aust<strong>in</strong>Abstract: This project seeks to <strong>in</strong>vestigate, develop,test, and implement <strong>in</strong>novative design methods forgenerat<strong>in</strong>g c<strong>on</strong>cepts through analogies. <strong>Design</strong>-<strong>by</strong>analogyis the area of idea generati<strong>on</strong> <strong>in</strong> whichproven soluti<strong>on</strong>s from a given doma<strong>in</strong> provide visual,aesthetic, geometric, or functi<strong>on</strong>al similarity forproblem-solv<strong>in</strong>g <strong>in</strong> another doma<strong>in</strong>. The existence ofthis area is noted throughout recorded history. Thefirst steam locomotives, for example, were based <strong>on</strong>analogies to the horse-drawn stage coach. While theexistence of analogies as <strong>in</strong>spirati<strong>on</strong> for creativedesign is well known, the cognitive processes used <strong>in</strong>design-<strong>by</strong>-analogy, especially for complex problemssuch as <strong>in</strong> eng<strong>in</strong>eer<strong>in</strong>g, is far from understood. Thispaper uses results from our fundamental studies ofdesign-<strong>by</strong>-analogy and c<strong>on</strong>siders a study ofalternative ideati<strong>on</strong> methods. In particular, the designmethods, known as Transformati<strong>on</strong> <strong>Design</strong> andWordTree <strong>Design</strong>-<strong>by</strong>-Analogy, seek to reformulatedesign problems so that multiple effective analogiesmay be developed. A full-factorial analysis was usedto compare the effect of us<strong>in</strong>g the two designmethods. Results from the design teams wereevaluated quantitatively <strong>by</strong> the number c<strong>on</strong>ceptsgenerated.1. Introducti<strong>on</strong><strong>Design</strong>-<strong>by</strong>-analogy is a powerful tool for develop<strong>in</strong>gideas. <strong>Design</strong>ers frequently base their designs <strong>on</strong>c<strong>on</strong>cepts or systems they have seen before [1-4].Numerous examples of <strong>in</strong>novative products based <strong>on</strong>analogies are <strong>in</strong>cluded <strong>in</strong> various forms of mediasuch as technical magaz<strong>in</strong>es, literature, even films,and also <strong>in</strong> nature and other areas that are not asobvious prompts for c<strong>on</strong>nectivity. We seek <strong>in</strong> thispaper to explore c<strong>on</strong>cept generati<strong>on</strong> techniques thatsupport <strong>Design</strong>-<strong>by</strong>-Analogy.In design, c<strong>on</strong>cept generati<strong>on</strong> is a dynamic area thatc<strong>on</strong>t<strong>in</strong>ues to undergo development. Numerousportrayals of the design process describe [5-8]c<strong>on</strong>cept generati<strong>on</strong> as a key part of any approach.Over time, c<strong>on</strong>cept generati<strong>on</strong> transforms from vagueideas of bra<strong>in</strong>storm<strong>in</strong>g to fleshed-out formal methodssuch as m<strong>in</strong>d-mapp<strong>in</strong>g [7], morphological matrices[7], 6-3-5/C-Sketch [7], and TIPS/TRIZ [9].In this project, we pursue research <strong>on</strong> severaldifferent fr<strong>on</strong>ts related to c<strong>on</strong>cept generati<strong>on</strong> and thedesign process <strong>in</strong> general. The first area of researchexam<strong>in</strong>es <strong>Design</strong>-<strong>by</strong>-Analogy techniques andformulates a method for c<strong>on</strong>cept generati<strong>on</strong> us<strong>in</strong>g acomm<strong>on</strong> verb terms found <strong>in</strong> natural languages. Thesec<strong>on</strong>d area deals specifically with systems that cantransform between different c<strong>on</strong>figurati<strong>on</strong>s <strong>in</strong> orderto perform multiple functi<strong>on</strong>s. A large number ofanalogous “transformers” are exam<strong>in</strong>ed, and<strong>in</strong>formati<strong>on</strong> gleaned from them can be used <strong>in</strong> thedesign of new systems.2. Background2.1 WordTree <strong>Design</strong>-<strong>by</strong>-Analogy. <strong>Design</strong>ers areoften <strong>in</strong>spired <strong>by</strong> analogies <strong>in</strong> the process ofdevelop<strong>in</strong>g new ideas. In fact, a large porti<strong>on</strong> of<strong>in</strong>novati<strong>on</strong> is derived directly from analogy.However, much of this process is ad hoc orserendipitous. The challenge and purpose of a formal<strong>Design</strong>-<strong>by</strong>-Analogy method is to lead the designer touseful, but n<strong>on</strong>-obvious analogies. This guid<strong>in</strong>gprocess usually <strong>in</strong>volves re-represent<strong>in</strong>g the problemfrom a different po<strong>in</strong>t of view. For example, somemethods present the problem <strong>in</strong> terms of similarbiological systems [10,11], while others describe itskey functi<strong>on</strong>s and flows [12]. Synectics maychallenge the designer “to be” the problem or look atit symbolically [13].WordTree <strong>Design</strong>-<strong>by</strong>-Analogy is a recentdevelopment <strong>in</strong> design methodology [14-16]. In thismethod, key words such as functi<strong>on</strong>s or customerneeds are used to seed a l<strong>in</strong>guistic representati<strong>on</strong> ofthe problem. This representati<strong>on</strong> is developed boththrough an extended bra<strong>in</strong>storm<strong>in</strong>g approach andwith the help of WordNet, a tool developed atPr<strong>in</strong>cet<strong>on</strong> University [17,18]. The WordNet databasefuncti<strong>on</strong>s <strong>by</strong> return<strong>in</strong>g a list of words related to aProceed<strong>in</strong>gs of 2009 NSF Eng<strong>in</strong>eer<strong>in</strong>g Research and Innovati<strong>on</strong> C<strong>on</strong>ference, H<strong>on</strong>olulu, HawaiiGrant CMMI-0555851


Figure 1: Exemplar WordNet results andWordTree for key word “track” [17].user-supplied seed word. WordNet works similarly toa thesaurus, but gives much more functi<strong>on</strong>ality andstructure. For each <strong>in</strong>put word, WordNet returns a setof trop<strong>on</strong>yms (sub-types or more specific syn<strong>on</strong>yms),hypernyms (overarch<strong>in</strong>g or more general syn<strong>on</strong>yms),and sister terms (other words stemm<strong>in</strong>g from acomm<strong>on</strong> hypernym). An example WordNet entry forthe verb “track” is shown <strong>in</strong> Fig. 1. The <strong>in</strong>formati<strong>on</strong>retrieved from WordNet can easily be assembled <strong>in</strong>toa graphical representati<strong>on</strong> called a WordTree, withhypernyms and trop<strong>on</strong>yms branch<strong>in</strong>g off of the seedterm like roots and branches. An example WordTreebased off of the same key word “track” is shown <strong>in</strong>Fig. 1.Hence the name, the <strong>in</strong>formati<strong>on</strong> <strong>in</strong> a WordTree canbe used to branch out from known functi<strong>on</strong>s andcustomer needs <strong>in</strong>to far-field applicati<strong>on</strong>s. Forexample, a sample design problem may require thefuncti<strong>on</strong> “track,” as <strong>in</strong> Fig. 1. The associatedWordTree terms may lead the designer to explorecurrent applicati<strong>on</strong>s of “hunt” (perhaps hunt<strong>in</strong>g for asoluti<strong>on</strong> to a problem or hunt<strong>in</strong>g for a lost item). Itwould also lead to ways to “scout” or “rec<strong>on</strong>noiter”(methods and skills used <strong>by</strong> explorersor pi<strong>on</strong>eers),and tools to “m<strong>on</strong>itor” or “trace” (to view thesituati<strong>on</strong> from different vantage po<strong>in</strong>ts – perhapsthrough electr<strong>on</strong>ics). These tra<strong>in</strong>s of thought wouldreveal specific, real-world examples that might haveotherwise g<strong>on</strong>e unnoticed. By explor<strong>in</strong>g multipleWordTrees, the designer is led towards a wide swathof related c<strong>on</strong>cepts and applicati<strong>on</strong>s far-removedfrom the <strong>in</strong>itial problem, i.e., design-<strong>by</strong>-analogy.Figure 2 shows a more extensive and complete formof the WordTree <strong>Design</strong>-<strong>by</strong>-Analogy method. Noticethat the method provides scaffold<strong>in</strong>g <strong>by</strong>systematically guid<strong>in</strong>g a designer or design teamthrough the explorati<strong>on</strong> of analogous verb terms andanalogous doma<strong>in</strong>s. An exemplar design result is alsoshown, provid<strong>in</strong>g design c<strong>on</strong>cepts for the problem ofassist<strong>in</strong>g pers<strong>on</strong>s with disabilities <strong>in</strong> fold<strong>in</strong>g clothesas part of their daily jobs.2.2. Transformati<strong>on</strong> <strong>Design</strong>. Transformati<strong>on</strong>, <strong>in</strong> amechanical sense, can be def<strong>in</strong>ed as chang<strong>in</strong>g state(or c<strong>on</strong>figurati<strong>on</strong>) <strong>in</strong> order to provide newfuncti<strong>on</strong>ality [19,20,21]. Transform<strong>in</strong>g, orrec<strong>on</strong>figurable systems occur frequently <strong>in</strong> design,rang<strong>in</strong>g from vehicles to furniture to toys and tools.From the comics to toy chests to the movie screen,the pr<strong>in</strong>ciples and facilitators of transformati<strong>on</strong> tapthe imag<strong>in</strong>ati<strong>on</strong> of many who may not have <strong>in</strong>itiallybeen <strong>in</strong>trigued <strong>by</strong> and been exposed to the eleganteng<strong>in</strong>eer<strong>in</strong>g c<strong>on</strong>cepts. This 20 th century a pop culturephenomen<strong>on</strong> of Transformers is a scaffold<strong>in</strong>g toolthat potentially c<strong>on</strong>nects to teach<strong>in</strong>g and learn<strong>in</strong>g 21 stcentury eng<strong>in</strong>eer<strong>in</strong>g.A basic example of a transformer is shown <strong>in</strong> Fig. 3.Here, a chair transforms <strong>in</strong>to a stepstool <strong>by</strong> fold<strong>in</strong>ghalf of the structure about a h<strong>in</strong>ge.Figure 2: Complete WordTree <strong>Design</strong>-<strong>by</strong>-AnalogyMethodology and Exemplar Result [16,17].Proceed<strong>in</strong>gs of 2009 NSF Eng<strong>in</strong>eer<strong>in</strong>g Research and Innovati<strong>on</strong> C<strong>on</strong>ference, H<strong>on</strong>olulu, HawaiiGrant CMMI-0555851


Table 1: Transformati<strong>on</strong> pr<strong>in</strong>ciples and facilitators [20].Expand/CollapsePr<strong>in</strong>ciplesExpose/CoverFuse/DivideC<strong>on</strong>formwithStructuralInterface[23]FlipInterchangeWork<strong>in</strong>g OrganEnclose Furcate ModularizeFacilitators[22]Roll/Wrap/CoilShare CoreStructureShare PowerTransmissi<strong>on</strong>ShellFan Inflate Nest Share Functi<strong>on</strong>s Telescope[24]UtilizeCompositesUtilizeGenericC<strong>on</strong>necti<strong>on</strong>sfreedom to pursue unc<strong>on</strong>venti<strong>on</strong>al match-ups am<strong>on</strong>gthe pr<strong>in</strong>ciples and facilitators.Figure 3: Transform<strong>in</strong>g chair/stepstool [22].Transformers can be complex and difficult toexecute, yet their historic design has been mostly adhoc, rely<strong>in</strong>g <strong>on</strong> serendipitous analogies and previousexperience to create smooth, functi<strong>on</strong>altransformati<strong>on</strong> processes. Over the past three years,extensive research has been c<strong>on</strong>ducted to betterunderstand how transformati<strong>on</strong> works, how it iscurrently designed, and how a better, moreformalized design process could be applied. Over thecourse of this research, a theory of transformati<strong>on</strong>design has been developed which identifies a set ofpr<strong>in</strong>ciples and facilitators relevant to the process oftransformati<strong>on</strong> (Table 1). These pr<strong>in</strong>ciples andfacilitators represent meta-analogies to generatec<strong>on</strong>cepts for design problems.Additi<strong>on</strong>al research shows that these pr<strong>in</strong>ciples andfacilitators occur <strong>in</strong> c<strong>on</strong>sistent, predictable patterns[20,21]. These trends and <strong>in</strong>terrelati<strong>on</strong>ships can beutilized to assemble transformati<strong>on</strong> processes thatoperate smoothly and robustly, while still hav<strong>in</strong>g the3. Research ExperimentA c<strong>on</strong>trolled experiment was designed with the aimof compar<strong>in</strong>g the effect of us<strong>in</strong>g WordTrees and/orTransformati<strong>on</strong> <strong>Design</strong> methods <strong>in</strong> the c<strong>on</strong>ceptgenerati<strong>on</strong> process. To focus <strong>on</strong> these two methods,other parts of the process were c<strong>on</strong>trolled as much aspossible.<strong>Design</strong> teams of three to six members generatedc<strong>on</strong>cepts for a design problem; specifically to create asystem that can tag and track a vehicle for emergencypurposes, then perform an effect <strong>on</strong> the target whendesired, <strong>in</strong> this scenario, to aid the search and rescueteam <strong>in</strong> events to help with hostage situati<strong>on</strong>s. Anillustrati<strong>on</strong> of this scenario is shown <strong>in</strong> Fig. 4. Teammembers followed a script outl<strong>in</strong><strong>in</strong>g the methods tobe used and recorded all c<strong>on</strong>cepts for subsequentanalysis.3.1 Source of Participants. Forty-<strong>on</strong>e participantswere assembled <strong>in</strong>to n<strong>in</strong>e teams of three to six peoplefor this study. All participants were volunteerundergraduate students at The University of Texas atAust<strong>in</strong>. Approximately 75% of them were male, 25%were female. The volunteers’ ages ranged from 21-27. At the time of the study, they were enrolled <strong>in</strong> asenior-level mechanical eng<strong>in</strong>eer<strong>in</strong>g capst<strong>on</strong>e designclass, where they had previously learned comm<strong>on</strong>c<strong>on</strong>cept generati<strong>on</strong> techniques such as m<strong>in</strong>d-mapp<strong>in</strong>gProceed<strong>in</strong>gs of 2009 NSF Eng<strong>in</strong>eer<strong>in</strong>g Research and Innovati<strong>on</strong> C<strong>on</strong>ference, H<strong>on</strong>olulu, HawaiiGrant CMMI-0555851


and 6-3-5. The volunteers had experience typical ofundergraduate eng<strong>in</strong>eer<strong>in</strong>g students, with somereceiv<strong>in</strong>g additi<strong>on</strong>al tra<strong>in</strong><strong>in</strong>g through <strong>in</strong>ternships, coops,previous jobs, and research opportunities.Because of their general eng<strong>in</strong>eer<strong>in</strong>g experience andcomm<strong>on</strong> level of understand<strong>in</strong>g of design as taught <strong>in</strong>the class, it was assumed that they would havecomparable backgrounds com<strong>in</strong>g <strong>in</strong>to the test study.Figure 4: Example scenario <strong>in</strong>volv<strong>in</strong>g "tag, track, and effect" design problem.3.2 Factorial Organizati<strong>on</strong>. The study wasformulated as a basic 2 2 factorial experiment withfour different c<strong>on</strong>diti<strong>on</strong>s. The two c<strong>on</strong>trolledvariables were the use of the WordTree <strong>Design</strong>-<strong>by</strong>-Analogy method and the use of the Transformati<strong>on</strong><strong>Design</strong> method.In the first trial (- -), neither WordTrees nortransformati<strong>on</strong> heuristics were used. This c<strong>on</strong>diti<strong>on</strong>corresp<strong>on</strong>ds to a c<strong>on</strong>trol. After a brief <strong>in</strong>troducti<strong>on</strong>, adesign problem was given, after which theparticipants spent 25 m<strong>in</strong>utes bra<strong>in</strong>storm<strong>in</strong>g with am<strong>in</strong>d-map. This was followed <strong>by</strong> 30 m<strong>in</strong>utes of 6-3-5. In the f<strong>in</strong>al stage of the process, each participantsearched the Internet (through patents, images,videos, and design websites) for additi<strong>on</strong>al<strong>in</strong>formati<strong>on</strong> <strong>on</strong> analogies uncovered dur<strong>in</strong>g the earlierstages. A research assistant <strong>in</strong>troduced each step ofthe process, us<strong>in</strong>g a script for c<strong>on</strong>sistency <strong>in</strong> languageand tim<strong>in</strong>g. The complete outl<strong>in</strong>e for this “c<strong>on</strong>trol”variati<strong>on</strong> is given <strong>in</strong> the next secti<strong>on</strong>.In the sec<strong>on</strong>d trial (+ -), a WordTree <strong>Design</strong>-<strong>by</strong>-Analogy method was <strong>in</strong>serted before the m<strong>in</strong>dmapp<strong>in</strong>g.This method is also outl<strong>in</strong>ed <strong>in</strong> the nextsecti<strong>on</strong>. The third trial (- +) <strong>in</strong>serted an <strong>in</strong>troducti<strong>on</strong>to transformati<strong>on</strong> pr<strong>in</strong>ciples and facilitators, with<strong>in</strong>formati<strong>on</strong> <strong>on</strong> how to use them. The fourth trial (++) used both WordTrees and transformati<strong>on</strong>heuristics3.3 Outl<strong>in</strong>e of Experiment. Each <strong>in</strong>stance of theexperiment followed the outl<strong>in</strong>e shown below. Thec<strong>on</strong>trol (- -) trial follows the steps as listed, exclud<strong>in</strong>g3A and 3B (shown <strong>in</strong> italics). The other variati<strong>on</strong>s<strong>in</strong>serted steps 3A (for WordTrees) and/or 3B (forTransformati<strong>on</strong> <strong>Design</strong>) as appropriate. The assistantlead<strong>in</strong>g the sessi<strong>on</strong> was given a script to read to theparticipants, and each stage was given a set timeperiod, with the total sessi<strong>on</strong> last<strong>in</strong>g two hours.1. Introducti<strong>on</strong> to “transformers” – The students aregiven a def<strong>in</strong>iti<strong>on</strong> and brief explanati<strong>on</strong> oftransformati<strong>on</strong>, and they are <strong>in</strong>vited to give examplesof transformers to dem<strong>on</strong>strate understand<strong>in</strong>g.2. Introducti<strong>on</strong> to analogies – The students are givena brief explanati<strong>on</strong> of how analogies are often usedcognitively <strong>in</strong> design and how actively search<strong>in</strong>g foranalogies can lead to benefits <strong>in</strong> the design process.Proceed<strong>in</strong>gs of 2009 NSF Eng<strong>in</strong>eer<strong>in</strong>g Research and Innovati<strong>on</strong> C<strong>on</strong>ference, H<strong>on</strong>olulu, HawaiiGrant CMMI-0555851


form <strong>by</strong> a different member of the group. If the samec<strong>on</strong>cept was listed twice <strong>in</strong> the same stage (e.g. m<strong>in</strong>dmapp<strong>in</strong>g),<strong>on</strong>ly <strong>on</strong>e c<strong>on</strong>tributi<strong>on</strong> was recorded. If adifferent team member significantly developed thec<strong>on</strong>cept at a later stage (such as 6-3-5), thisc<strong>on</strong>tributi<strong>on</strong> was also recorded, but was notc<strong>on</strong>sidered unique. Thus, the data as a whole can beexam<strong>in</strong>ed <strong>by</strong> the total number of c<strong>on</strong>cepts generatedor the number of unique c<strong>on</strong>cepts generated.Figure 5: Sample 6-3-5 result show<strong>in</strong>g burrow<strong>in</strong>gtagBecause the number of participants varied am<strong>on</strong>gdifferent groups from three to six, it is useful toapproach the aggregate data from several differentangles. We chose to evaluate the experiment us<strong>in</strong>gthree different aspects of the data:1. The total number of c<strong>on</strong>cepts generated <strong>by</strong>each group (<strong>in</strong>clud<strong>in</strong>g multiple <strong>in</strong>stances).2. The number of unique c<strong>on</strong>cepts generated<strong>by</strong> each group.3. The number of c<strong>on</strong>cepts generated <strong>by</strong> each<strong>in</strong>dividual.In this way, we avoided several issues with the data.If we <strong>on</strong>ly look at totals for the groups, the resultsmay be skewed because of differences <strong>in</strong> group size.By look<strong>in</strong>g at data for both groups and <strong>in</strong>dividuals,we can make full use of a larger populati<strong>on</strong> size butstill observe group-specific trends.4.2 Statistical Analysis of Data <strong>by</strong> Group. The firstanalysis of the data exam<strong>in</strong>es the total number ofc<strong>on</strong>cepts generated <strong>by</strong> each group. Of the n<strong>in</strong>egroups, eight are <strong>in</strong>cluded here, with two groups ateach data po<strong>in</strong>t. The last group is a third case of us<strong>in</strong>gWordTree, and was omitted because it is the <strong>on</strong>lygroup with 6 people. The results can be organized for<strong>Design</strong>-of-Experiments as shown <strong>in</strong> Table 2.<strong>Design</strong>-of-Experiments provides a least-squaresestimate for the effect of each factor and <strong>in</strong>teracti<strong>on</strong><strong>in</strong> the experiment. In the table above, the numbers ofc<strong>on</strong>cepts generated <strong>by</strong> each of the eight <strong>in</strong>cludedgroups are listed under p1 and p2. The effects of thevariables d1 (WordTrees) and d2 (Transformati<strong>on</strong><strong>Design</strong>), as well as the <strong>in</strong>teracti<strong>on</strong> between them aredeterm<strong>in</strong>ed <strong>by</strong> subtract<strong>in</strong>g the average for all “-1”runs from the average for all “+1” runs. We see that,<strong>on</strong> average, us<strong>in</strong>g WordTrees tended to produce 10less c<strong>on</strong>cepts than not us<strong>in</strong>g it, while us<strong>in</strong>gtransformati<strong>on</strong> pr<strong>in</strong>ciples and facilitators led to 29more c<strong>on</strong>cepts than not us<strong>in</strong>g them. The <strong>in</strong>teracti<strong>on</strong>between the two methods gave an effect of 7 moreideas.However, it is important to determ<strong>in</strong>e how much ofthis <strong>in</strong>formati<strong>on</strong> is due to actual trends and how muchis due to error and random variati<strong>on</strong>. Because wehave two replicates at each data po<strong>in</strong>t, we cancompute the variance for each run. From this, we canf<strong>in</strong>d the pooled variance (S p 2 = average of variances)and the standard deviati<strong>on</strong> of the effects (S e = 2S p /√mwhere m = number of groups). A t-value for eachfactor effect is also determ<strong>in</strong>ed <strong>by</strong> divid<strong>in</strong>g theestimated effect <strong>by</strong> S e . These t-values can then becompared to required t-values for four runs andc<strong>on</strong>fidence levels of 95% and 99%.As shown <strong>in</strong> Table 3, the use of Transformati<strong>on</strong><strong>Design</strong> (d 2 ) has a t-value of 4.7, which <strong>in</strong>dicates witha 99% c<strong>on</strong>fidence level that the effect of us<strong>in</strong>gTransformati<strong>on</strong> <strong>Design</strong> is statistically significant. Theuse of WordTrees did not prove to be significant <strong>in</strong>this <strong>in</strong>stance, nor did the <strong>in</strong>teracti<strong>on</strong> between the twomethods. ANOVA calculati<strong>on</strong>s c<strong>on</strong>firm the relativesignificance of the effects.Table 3 shows the results of the sec<strong>on</strong>d analysis ofthe data. Here, <strong>on</strong>ly the number of unique c<strong>on</strong>cepts is<strong>in</strong>cluded for each group; <strong>in</strong>stances where a c<strong>on</strong>cept isdeveloped further later <strong>in</strong> the process are notrecounted. This analysis shows that <strong>on</strong>ce aga<strong>in</strong>, theuse of Transformati<strong>on</strong> <strong>Design</strong> (d 2 ) was the <strong>on</strong>lysignificant factor, with a c<strong>on</strong>fidence level of 99%.Proceed<strong>in</strong>gs of 2009 NSF Eng<strong>in</strong>eer<strong>in</strong>g Research and Innovati<strong>on</strong> C<strong>on</strong>ference, H<strong>on</strong>olulu, HawaiiGrant CMMI-0555851


Table 2: Factorial results us<strong>in</strong>g total number of c<strong>on</strong>cepts per groupTrial Mean d 1 (WordTree) d 2 (Transformati<strong>on</strong>) d 1 d 2 p 1 p 2 Average Variance1 +1 -1 -1 +1 77 93 85 1282 +1 +1 -1 -1 60 76 68 1283 +1 -1 +1 -1 108 106 107 24 +1 +1 +1 +1 109 99 104 50Σ⋅Π: 364 -20 58 14 S p : 8.77Effect: 91 -10 29 7 S e : 6.2t E : 14.7 -1.6 4.7 1.1 t* 95 (4): 2.78t* 99 (4): 4.60Table 3: Factorial results us<strong>in</strong>g total unique c<strong>on</strong>cepts per groupTrial Mean d 1 (WordTree) d 2 (Transformati<strong>on</strong>) d 1 d 2 p 1 p 2 Average Variance1 +1 -1 -1 +1 75 86 80.5 60.52 +1 +1 -1 -1 56 74 65 1623 +1 -1 +1 -1 95 102 98.5 24.54 +1 +1 +1 +1 101 98 99.5 4.5Σ⋅Π: 343.5 -14.5 52.5 16.5 S p : 7.9Effect: 85.9 -7.25 26.3 8.3 S e : 5.6t E : 15.3 -1.3 4.7 1.5 t* 95 (4): 2.78t* 99 (4): 4.60Table 4: Factorial results us<strong>in</strong>g number of c<strong>on</strong>cepts per <strong>in</strong>dividual, blocked <strong>by</strong> groupTrialMeand 1d 2(Trans.)d 3(Block)d 1 d 2 d 1 d 3 d 2 d 3p 1 p 2 p 3 p 4 p 5 Avg. Var.(WT)1 +1 -1 -1 -1 +1 +1 +1 16 25 15 21 19.3 21.62 +1 +1 -1 -1 -1 +1 -1 14 16 18 12 15 6.73 +1 -1 +1 -1 -1 -1 +1 28 34 20 26 27 33.34 +1 +1 +1 -1 +1 -1 -1 41 32 36 36.3 20.35 +1 -1 -1 +1 +1 -1 -1 17 15 20 15 27 18.8 25.26 +1 +1 -1 +1 -1 -1 +1 19 15 13 17 12 15.2 8.27 +1 -1 +1 +1 -1 +1 -1 32 22 26 14 12 21.2 69.28 +1 +1 +1 +1 +1 +1 +1 15 19 21 21 23 19.8 9.2Σ⋅Π: 172.6 0.1 36.1 -22.6 15.8 -22.1 -10.1 S p : 4.9Effect 21.6 0.0 9.0 -5.7 4.0 -5.5 -2.5 S e : 1.7t E : 12.8 0.0 5.4 -3.4 2.3 -3.3 -1.5 t* 95 2.31t* 99 3.364.3 Statistical Analysis of Data <strong>by</strong> Individual. Onechallenge of <strong>in</strong>terpret<strong>in</strong>g this study <strong>by</strong> group is therelatively small sample size. With <strong>on</strong>ly two replicatesfor each of the four trials, uncerta<strong>in</strong>ty exists about thetrue characteristics of the populati<strong>on</strong>, even though theresults are statistically significant. Different groupsizes, pers<strong>on</strong>alities and <strong>in</strong>teracti<strong>on</strong>s <strong>in</strong> the groups, andeven time of day may affect the studied factors. Wecan <strong>in</strong>crease the effective sample size if we alsoexam<strong>in</strong>e the results <strong>by</strong> <strong>in</strong>dividual. Now, <strong>in</strong>stead ofeight (or n<strong>in</strong>e) samples, there are 35 (or 41)<strong>in</strong>dependent samples. The additi<strong>on</strong>al unknowns thatresult from different group dynamics can be c<strong>on</strong>trolled<strong>by</strong> us<strong>in</strong>g blocks to separate the <strong>in</strong>dividuals of differentgroups. Hence, the results can be arranged as shown <strong>in</strong>Table 4 (<strong>on</strong>ce aga<strong>in</strong> leav<strong>in</strong>g out the 6-pers<strong>on</strong> group toeven out the distributi<strong>on</strong> of replicates throughout theexperiment).Like the group results, this analysis <strong>in</strong>dicates that us<strong>in</strong>gthe transformati<strong>on</strong> pr<strong>in</strong>ciples and facilitators has aProceed<strong>in</strong>gs of 2009 NSF Eng<strong>in</strong>eer<strong>in</strong>g Research and Innovati<strong>on</strong> C<strong>on</strong>ference, H<strong>on</strong>olulu, HawaiiGrant CMMI-0555851


statistically significant positive effect <strong>on</strong> the designprocess (c<strong>on</strong>fidence level of 99%). The greater samplesize also results <strong>in</strong> elim<strong>in</strong>at<strong>in</strong>g most of the effect due tothe use of WordTrees. In additi<strong>on</strong>, the effect of theblock (members of different groups) was also found tobe significant (c<strong>on</strong>fidence level of 99%).Another <strong>in</strong>sight result<strong>in</strong>g from this analysis of<strong>in</strong>dividual c<strong>on</strong>tributi<strong>on</strong>s is that there is a significant<strong>in</strong>teracti<strong>on</strong> between the use of WordTrees andTransformati<strong>on</strong> <strong>Design</strong>. Even though WordTrees <strong>by</strong>themselves did not c<strong>on</strong>tribute to a rise <strong>in</strong> quantity, the<strong>in</strong>teracti<strong>on</strong> between the two design methods resulted <strong>in</strong>a slight <strong>in</strong>crease <strong>in</strong> the number of c<strong>on</strong>cepts, above andbey<strong>on</strong>d the effect of Transformati<strong>on</strong> <strong>Design</strong> al<strong>on</strong>e(c<strong>on</strong>fidence level of 95%).necessity to (re)c<strong>on</strong>sider <strong>in</strong>novati<strong>on</strong>, imag<strong>in</strong>ati<strong>on</strong>, andliteracy as ways to develop and strengthen learn<strong>in</strong>gthat beac<strong>on</strong>s eng<strong>in</strong>eer<strong>in</strong>g educati<strong>on</strong> to value andaddress the dynamic needs of design. Fromrepresentatives of the United Nati<strong>on</strong>s, to policymakers,educators, ec<strong>on</strong>omists, artists, eng<strong>in</strong>eers, tomany <strong>in</strong> between, the importance of world citizens tobe critical th<strong>in</strong>kers, <strong>in</strong>novators, and have literacy skillsfor the 21 st century is lauded. Indeed, the Director-General of the United Nati<strong>on</strong> Educati<strong>on</strong>, Science,Community Organizati<strong>on</strong> posits, “In a world<strong>in</strong>creas<strong>in</strong>gly shaped <strong>by</strong> science and technology,scientific and technological literacy is a universalrequirement… it is vital to improve scientific andtechnological literacy” [29].4.4 Diversity and Novelty of Soluti<strong>on</strong>s. The data<strong>in</strong>dicate a large degree of variati<strong>on</strong> between teams <strong>in</strong>the c<strong>on</strong>cepts that were generated. Almost 500 differentc<strong>on</strong>cepts were generated between the n<strong>in</strong>e groups, withan average of 90 c<strong>on</strong>cepts per team over a two-hourperiod. Out of these, 352 c<strong>on</strong>cepts were <strong>on</strong>lymenti<strong>on</strong>ed <strong>by</strong> <strong>on</strong>e team. In fact, although a fewc<strong>on</strong>cepts were proposed as many as 12 times, theaverage number of times any given c<strong>on</strong>cept wasgenerated over the course of the experiment was <strong>on</strong>ly1.66, show<strong>in</strong>g a wide spread of diversity. Thisdiversity was supported <strong>by</strong> the WordTree method eventhough the experimental results do not show an<strong>in</strong>crease <strong>in</strong> quantity of ideas. Thus, the WordTreemethod does assist <strong>in</strong> <strong>in</strong>creas<strong>in</strong>g novelty and diversity.The c<strong>on</strong>cepts generated seemed to fall <strong>in</strong>to sixcategories. The majority of them fulfilled the ma<strong>in</strong>functi<strong>on</strong>s of “tag, track, and effect” from the designstatement. In additi<strong>on</strong>, some c<strong>on</strong>cepts addressed theoverall form of the system, such as resembl<strong>in</strong>g a bird,<strong>in</strong>sect, seedpod, helicopter, or animal dropp<strong>in</strong>gs. Otherc<strong>on</strong>cepts developed general methods of power ortransportati<strong>on</strong> (e.g. hover<strong>in</strong>g, <strong>in</strong>sect legs, digg<strong>in</strong>gunderground), as well as transformati<strong>on</strong> issues (fold<strong>in</strong>gw<strong>in</strong>gs, chang<strong>in</strong>g shape for camouflage, break-awaymodules for tagg<strong>in</strong>g, etc.). An example c<strong>on</strong>cept oflook<strong>in</strong>g to nature of analogous design is shown <strong>in</strong> Fig.6, where a bird-like UAV releases a tag embedded <strong>in</strong> asubstance disguised as bird dropp<strong>in</strong>gs.5. Discussi<strong>on</strong>: Broader ImpactsThe results from the previous secti<strong>on</strong> <strong>in</strong>form not <strong>on</strong>ly<strong>in</strong>novators <strong>in</strong> eng<strong>in</strong>eer<strong>in</strong>g but also eng<strong>in</strong>eer<strong>in</strong>geducati<strong>on</strong>. It is vital for eng<strong>in</strong>eer<strong>in</strong>g educators to haveresources that <strong>in</strong>tegrate powerful tools of c<strong>on</strong>ceptgenerati<strong>on</strong> which res<strong>on</strong>ate with complex and differentways of th<strong>in</strong>k<strong>in</strong>g as classrooms are <strong>in</strong>creas<strong>in</strong>gly filledwith diverse learners. There is an <strong>in</strong>ternati<strong>on</strong>alFigure 6: Exemplar c<strong>on</strong>cept from 6-3-5.Whereas traditi<strong>on</strong>al eng<strong>in</strong>eer<strong>in</strong>g educati<strong>on</strong> pedagogyres<strong>on</strong>ates with noti<strong>on</strong>s of transmitt<strong>in</strong>g knowledge from<strong>on</strong>e pers<strong>on</strong> (usually the professor or eng<strong>in</strong>eer) toanother (usually the student), DbA, WordTree DbA,Transformati<strong>on</strong> design, 6-3-5, and m<strong>in</strong>dmaps <strong>in</strong>tegratepedagogy gleaned from educati<strong>on</strong> and psychologyresearch that helps illum<strong>in</strong>ate ways that designersth<strong>in</strong>k, generate ideas, learn, and develop literacy <strong>in</strong>science, technology, eng<strong>in</strong>eer<strong>in</strong>g, and mathematics(STEM.) This research <strong>on</strong> the development and<strong>in</strong>clusi<strong>on</strong> of methods that build <strong>on</strong> psychological andeducati<strong>on</strong>al tools to improve <strong>in</strong>novati<strong>on</strong> techniques anddevelopment of literacy <strong>in</strong> eng<strong>in</strong>eer<strong>in</strong>g, <strong>in</strong>tegratesmultiple modes of communicati<strong>on</strong>. With thesescaffold<strong>in</strong>g tools <strong>in</strong> DbA, designers are more able todescribe and <strong>in</strong>vestigate complex eng<strong>in</strong>eer<strong>in</strong>g c<strong>on</strong>ceptsand generate <strong>in</strong>novative ideas, thus STEM becomesaccessible to a much broader range of communitieshav<strong>in</strong>g varied degrees of exposure to eng<strong>in</strong>eer<strong>in</strong>g.Proceed<strong>in</strong>gs of 2009 NSF Eng<strong>in</strong>eer<strong>in</strong>g Research and Innovati<strong>on</strong> C<strong>on</strong>ference, H<strong>on</strong>olulu, HawaiiGrant CMMI-0555851


Break<strong>in</strong>g down the communicati<strong>on</strong> barrier then opensthe space for <strong>in</strong>creased novel idea generati<strong>on</strong>.In this research formal def<strong>in</strong>iti<strong>on</strong>s of terms provide astandard language <strong>by</strong> which people can discusstransformers, there<strong>by</strong> enhanc<strong>in</strong>g designers’understand<strong>in</strong>g of transformati<strong>on</strong> processes similar tothe language found <strong>in</strong> the field of k<strong>in</strong>ematics androbotics. The nature of language, eng<strong>in</strong>eer<strong>in</strong>g language<strong>in</strong> this c<strong>on</strong>text, is heteroglossic – mean<strong>in</strong>g that as moreand different people engage <strong>in</strong> dialogue abouteng<strong>in</strong>eer<strong>in</strong>g, the language shifts, changes, andencompasses new mean<strong>in</strong>gs over time [30]. Apply<strong>in</strong>gthe pr<strong>in</strong>ciples and facilitators imag<strong>in</strong>atively to identifysub-systems of transformati<strong>on</strong>, <strong>in</strong>tegrate these subsystems,develop the k<strong>in</strong>ematic skelet<strong>on</strong>, and f<strong>in</strong>allygenerate the storyboard<strong>in</strong>g of transformati<strong>on</strong> producesmultiple and varied language acquisiti<strong>on</strong> experiencesthus <strong>in</strong>creas<strong>in</strong>g eng<strong>in</strong>eer<strong>in</strong>g literacy. The read<strong>in</strong>g,speak<strong>in</strong>g, and produc<strong>in</strong>g of multiple texts (spokenlanguage, images, products, symbols) with thescaffold<strong>in</strong>g of pr<strong>in</strong>ciples and facilitators def<strong>in</strong>iti<strong>on</strong>ssupports the participants <strong>in</strong> the heteroglossicdiscussi<strong>on</strong>s of eng<strong>in</strong>eer<strong>in</strong>g design and c<strong>on</strong>cepts.Analogies of design relate across c<strong>on</strong>tent and c<strong>on</strong>texts.When apply<strong>in</strong>g strategies to generate multiple novelideas, techniques that meet the learn<strong>in</strong>g styles andvaried methods of communicati<strong>on</strong> are more fruitful.Diverse design teams come to the ideati<strong>on</strong> processwith many and different lived experiences. Thesevaried experiences <strong>in</strong>form the way that each designerviews and questi<strong>on</strong>s the world. This world, designed<strong>by</strong> eng<strong>in</strong>eer<strong>in</strong>g, is abundant with opportunities forcommunity development through a morecomprehensive understand<strong>in</strong>g about effectivecommunicati<strong>on</strong> of idea shar<strong>in</strong>g and problem solv<strong>in</strong>g.At times, the h<strong>in</strong>drance <strong>in</strong> community development is alack of communicati<strong>on</strong> strategies, especially about ideashar<strong>in</strong>g and problem-solv<strong>in</strong>g. Communicati<strong>on</strong> barriersare community barriers <strong>by</strong> creat<strong>in</strong>g silences andmarg<strong>in</strong>alizati<strong>on</strong> of those not able to understand and/orbe actively <strong>in</strong>volved <strong>in</strong> the eng<strong>in</strong>eer<strong>in</strong>g design process.The guid<strong>in</strong>g tools <strong>in</strong> this research to improve c<strong>on</strong>ceptgenerati<strong>on</strong> <strong>in</strong> eng<strong>in</strong>eer<strong>in</strong>g are methods of <strong>in</strong>creas<strong>in</strong>gways that students <strong>in</strong> eng<strong>in</strong>eer<strong>in</strong>g educati<strong>on</strong> anddesigners are able to generate and communicate theirideas that ultimately help shape our world.6. C<strong>on</strong>clusi<strong>on</strong>sThis paper focuses <strong>on</strong> the study of <strong>Design</strong>-<strong>by</strong>-Analogyc<strong>on</strong>cept generati<strong>on</strong> techniques that build up<strong>on</strong>fundamental studies <strong>in</strong> DbA, such as the need toreformulate design problems to <strong>in</strong>crease the numberand diversity of analogies developed. A c<strong>on</strong>trolledexperiment was c<strong>on</strong>ducted us<strong>in</strong>g a sample of 41senior-level mechanical eng<strong>in</strong>eer<strong>in</strong>g students dividedover n<strong>in</strong>e teams. These teams each followed <strong>on</strong>e offour formal c<strong>on</strong>cept generati<strong>on</strong> approaches,<strong>in</strong>corporat<strong>in</strong>g two recently developed DbA designmethods: WordTree <strong>Design</strong>-<strong>by</strong>-Analogy andTransformati<strong>on</strong> <strong>Design</strong>. The four c<strong>on</strong>diti<strong>on</strong>s testedwere a c<strong>on</strong>venti<strong>on</strong>al c<strong>on</strong>cept generati<strong>on</strong> process withm<strong>in</strong>d-mapp<strong>in</strong>g and 6-3-5, Transformati<strong>on</strong> <strong>Design</strong>comb<strong>in</strong>ed with m<strong>in</strong>d-mapp<strong>in</strong>g and 6-3-5, WordTreeswith m<strong>in</strong>d-mapp<strong>in</strong>g and 6-3-5, and bothTransformati<strong>on</strong> <strong>Design</strong> and WordTrees with m<strong>in</strong>dmapp<strong>in</strong>gand 6-3-5. The average number of c<strong>on</strong>ceptsgenerated <strong>in</strong> each 2-hour trial was 91 per group, or 22per pers<strong>on</strong>. <strong>Design</strong>-of-Experiments analysis revealedthat while us<strong>in</strong>g the WordTree method had n<strong>on</strong>oticeable effect <strong>on</strong> the number of c<strong>on</strong>cepts generated,us<strong>in</strong>g the Transformati<strong>on</strong> <strong>Design</strong> method yielded ac<strong>on</strong>sistent <strong>in</strong>crease of 25-30% more c<strong>on</strong>cepts across allgroups and <strong>in</strong>dividuals. Both WordTree andTransformati<strong>on</strong> <strong>Design</strong> c<strong>on</strong>tributed to <strong>in</strong>creaseddiversity and novelty across the design teams. 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