"Problem solving" in engineering: Research on students' engineering design practices and mathematical modeling practices

Author(s):  
Monica E. Cardella ◽  
DeLean Tolbert
Author(s):  
Kjartan Pedersen ◽  
Jan Emblemsvåg ◽  
Reid Bailey ◽  
Janet K. Allen ◽  
Farrokh Mistree

Abstract Validation of engineering research is typically anchored in the scientific inquiry tradition that is based primarily on logical induction and / or deduction. Since much engineering research is based on mathematical modeling, this kind of validation has worked — and still works — very well. There are, however, other areas of engineering research that rely on subjective statements as well as mathematical modeling, which makes this type of validation problematic. One such area is that of design methods within the field of engineering design. In this paper, we explore the question of how one validates design research in general, and design methods in particular. Being anchored in the scientific inquiry tradition, research validation is strongly tied to a fundamental problem addressed in epistemology, namely, what is scientific knowledge and how is new knowledge confirmed? Thus, we first look to epistemology for answers to why an approach solely based on ‘formal, rigorous and quantifiable’ validation constitutes a problem, and for an augmented approach to research validation. We then propose the ‘Validation Square’ which we validate by testing its internal consistency based on logic in addition to testing its external relevance based on its usefulness with respect to a purpose. We recognize that no one has the complete answer to the question we pose. To help us converge on an answer to these questions we “think aloud” and invite you to join us in doing the same. It is our hope that in so doing we, the members of this design research community, will all be the richer for it.


Author(s):  
Zbigniew M. Bzymek ◽  
Eliot Brown

Abstract In today’s fast growing world, the economy — especially the field of technology and production — are developing very rapidly. Engineering design that would predict the results of this rapid development and equip the society with tools to control them, faces a big challenge. Rapidly developing technology brings many benefits to humanity and makes life easier, friendlier and more comfortable. This has been the case for thousands of years as new branches of engineering were born and came to serve society. One might say that engineers have the privilege of creating a bloodless and peaceful revolution resulting in easier and happier lives for people. At the same time, such fast developing technology creates traps and dangers, and may cause harm. The inventions of Alfred Nobel, Samuel Colt and Eliphalet Remington, for example, or nuclear research have all brought significant technological progress to nations and societies but have also brought harms and disasters affecting both societies and individuals. The role of engineering design is to predict these harmful actions and plan to neutralize or eliminate them, or even change them from harmful into friendly. Such actions follow the way recommended by BTIPS (Brief Theory of Inventive Problem Solving) procedures [1], especially those using the Prediction module [2], [3]. When developing Prevention Engineering a system approach should be observed and hierarchy of systems established and defined. All systems should be designed in such a way that prevents harm to humans and the natural world. Recommendations for introducing Prevention Engineering as a branch of engineering practice, and as an educational and research discipline, should be created as soon as possible, and directions for introducing courses in Prevention Engineering design and practice should also be developed [4]. For example, personal protective equipment for individuals and groups as designed by ME and MEM engineering students in their courses might be considered as Prevention Engineering developments [5]. Defining and formulating Prevention Engineering as a new branch of engineering is necessity in our times. In every step of our lives we face the challenge of preventing harms and destruction that can be done by the contemporary surrounding world. The goal of Prevention Engineering [PE] is to make the world safe. Prevention and safety are connected, prevention is an action, while safety is the condition or state that we are trying to achieve. Preventative actions can be based on the recommendations of BTIPS - Brief Theory of Inventing Problem Solving - and may use BTIPS’s approach [4], [5]. The reasons for the development of PE have already been described [6]. Each of these should be pointed out and preventative measures should be found. Adding these preventative measures to the contemporary engineering research, practice and education, and especially reflecting them in the engineering curriculum would be useful now and will also be necessary in the future [7], [8].


Science Scope ◽  
2017 ◽  
Vol 040 (05) ◽  
Author(s):  
Chandan Dasgupta ◽  
Beth Sanzenbacher ◽  
Jeremy Siegel ◽  
Deanna McBeath ◽  
Tom Moher

2015 ◽  
Vol 21 (7) ◽  
pp. 422-429 ◽  
Author(s):  
Lukas J. Hefty

Applying mathematics during engineering design challenges can help children develop critical thinking, problem solving, and communication skills.


2020 ◽  
Author(s):  
David Allen ◽  
Richard Crawford ◽  
Leema Berland ◽  
Karen High ◽  
Anthony Petrosino ◽  
...  

2021 ◽  
Vol 4 (1) ◽  
pp. 13
Author(s):  
K Kristayulita

If using different instruments obtained a different analogical reasoning component. With use  people-piece analogies, verbal analogies, and geometric analogies, have analogical reasoning component consists of encoding, inferring, mapping, and application. Meanwhile,  with use analogical problems (algebra, source problem and target problem is equal), have analogical reasoning components consist of structuring, mapping, applying, and verifying. The instrument used was analogical problems consisting of two problems where the source problem was symbolic quadratic equation problem and the target problems were trigonometric equation problem and a word problem. This study aims to provide information analogical reasoning process in solving indirect analogical problems. in addition, to identify the analogical reasoning components in solving indirect analogical problems. Using a qualitative design approach, the study was conducted at two schools in Mataram city of Nusa Tenggara Barat, Indonesia. The results of the study provide an overview of analogical reasoning of the students in solving indirect analogical problems and there is a component the representation and mathematical model in solving indirect analogical problems.  So the analogical reasoning component in solving indirect analogical problems is the representation and mathematical modeling, structuring, mapping, applying, and verifying. This means that there are additional components of analogical reasoning developed by Ruppert. Analogical reasoning components in problem-solving depend on the analogical problem is given.


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