Learning conceptual knowledge in engineering science is a critical element in the development of competence and expertise in engineering. To date, however, research on conceptual learning in engineering science has been limited. Therefore, this article draws heavily on fundamental research by cognitive psychologists and applied research by science educators to provide a background on fundamental issues in the field and methods for assessing conceptual knowledge. Some of the most common conceptual difficulties from three domains: mechanics, thermal science and direct current electricity, are discussed to provide concrete examples of what students find difficult to learn. The article concludes with a discussion of possible sources of these difficulties, implications for instruction, and suggestions for future research.

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A quantification of conceptual understanding of students in statics was undertaken. Drawing on a prior study identifying the fundamental concepts and typical student errors in statics, multiple choice questions were devised to probe students' ability to use concepts in isolation. This paper describes a testing instrument comprising such questions, as well as psychometric analyses of test results of 245 students at five universities.

As a part of an ongoing effort to study the continuum mechanics effects associated with cryopreservation, the current report focuses on fracture formation in vitrified thin films of cryoprotectant agents. The current study combines experimental observations with continuum mechanics analysis. Experimental results have been developed using a new imaging device, termed a "cryomacroscope", which has been recently presented by the current research team. A newly developed liquid nitrogen-based cooling stage is presented in this paper. The samples under investigation are 0.5 ml droplets of cryoprotective agents, having a characteristic diameter of 20 mm and a characteristic thickness of 1.5 mm. Tested samples included dimethyl sulfoxide (DMSO) in a concentration range from 6M to 8.4M, and the cryoprotectant cocktails VS55 and DP6. Some samples contained small bovine muscle segments, having a characteristic dimension of 1 mm, in order to study stress concentration effects. Experimental results show that the onset of fracturing in vitrified films of cryoprotectants is very consistent, occurring over a small temperature range. Fracture pattern, however, was affected by the cooling rate. The presence of tissue segments did not affect the onset temperature of fracture, but affected the fracture pattern. The continuum mechanics analysis solidified the hypothesis that fracture is driven by thermal stress, not by temperature per se, and allowed fracture strain to be inferred from observed fracture temperature. In conjunction with the current report, additional photos of fracture formation in thin films are available at

A new imaging device, termed a "cryomacroscope", is presented in this report. This device is designed to assist in exploring thermal and mechanical effects associated with large-scale vitrification and crystallization, with the current setup aimed at the range of 50 μm to 2 cm. The cryomacroscope is not intended as a substitute for the cryomicroscope, but as a complementary tool for the cryobiologist. A combination of cryomacroscopy and cryomicroscopy is suggested as a basis for multi-scale cryobiology studies. This report presents initial results on vitrification, crystallization, and fracture formation in the cryoprotectant cocktails DP6 and VS55. These results show some inconsistency in the tendency to form crystals, based on critical cooling and rewarming rates measured by means of a differential scanning calorimetric device (DSC) in parallel studies. This research is in its early stages, and comparative studies on biological materials are currently underway. Part II of this report (the companion paper) presents results for fracture formation in the cryoprotectant and discusses the mechanical stresses which promote these fractures. In conjunction with these reports, additional photos of cryomacroscopy of vitrification, crystallization, and fracture formation are available at http://www.me.cmu.edu/faculty1/rabin/CryomacroscopyImages01.htm.

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A new imaging device, termed a "cryomacroscope", was used to observe macrofractures in the cryoprotectant cocktails DP6 and VS55. Details of the design and construction of the cryomacroscope were presented in Part I of this report, which focused on describing the apparatus and observations of crystallization. Part I and the current paper (Part II) describe events that occur as 1 mℓ of cryoprotectant contained in a glass vial is cooled from room temperature down to cryogenic temperatures (∼ -135°C). The presence of cracking, as well as patterns in their position and orientation, are found to be dependent on the cooling rate and on the specific cryoprotectant cocktail. Cracks, if present, disappear upon rewarming, although they appear to be sites for later preferential crystallization. Computations which predict temperatures and mechanical stresses are used to explain observations of cracking. In conjunction with these reports, additional photos of cryomacroscopy of vitrification, crystallization, and fracture formation are available at http://www.me.cmu.edu/faculty1/rabin/CryomacroscopyImages01.htm.