Developing Skeptical Reverence for Mathematics

Gainsburg, Julie

doi:10.18260/1-2--21194

Cited by 2 publications

(3 citation statements)

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“…techniques eliminated as the true reason for calculus prerequisites, future studies can focus more closely on metamathematical skills such as mathematical epistemology (Gainsburg, 2012) or mathematical ways of thinking . Within the Sofronas et al's Calculus Content Framework(2011), we can examine more closely how calculus forms particularly good training for problem solving, modeling, and non-routine problems from Strand 3, Ability to use ideas of the calculus.…”

Section: Potential Implications and Future Workmentioning

confidence: 99%

“…• Engineers often do not recognize that they are doing mathematics or downplay the mathematical nature of what they are doing, even if an external observer would think that they are doing mathematics (Gainsburg, 2012;Goold & Devitt, 2014;. Overt uses of mathematics are easy to list , but subtler ways that mathematics manifests itself may be missed.…”

Section: Limitationsmentioning

confidence: 99%

“…In the same way, chain rule calculations (stairs) may be good preparation for engineering (track and field) even if most engineering courses (running tracks) use only simple examples (are flat). With specific techniques eliminated as the true reason for calculus prerequisites, future studies can focus more closely on metamathematical skills such as mathematical epistemology (Gainsburg, 2012) or mathematical ways of thinking . Within the Sofronas' CCF framework (Sofronas et al, 2011), we can examine more closely how calculus forms particularly good training for problem solving, modeling, and non-routine problems, from strand 3 "Ability to use ideas of the calculus".…”

Section: Conclusion Potential Implications and Future Workmentioning

confidence: 99%

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When am I ever going to use this? An investigation of the calculus content of core engineering courses

Faulkner

Johnson-Glauch

Choi

et al. 2020

J of Engineering Edu

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Section: Potential Implications and Future Workmentioning

confidence: 99%

Section: Limitationsmentioning

confidence: 99%

Section: Conclusion Potential Implications and Future Workmentioning

confidence: 99%

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When am I ever going to use this? An investigation of the calculus content of core engineering courses

Faulkner

Johnson-Glauch

Choi

et al. 2020

J of Engineering Edu

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Mathematical Maturity for Engineering Students

Faulkner

Earl

Herman

2019

Int. J. Res. Undergrad. Math. Ed.

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This dissertation presents four studies on the mathematical education of engineering students. The first study is a qualitative analysis of the beliefs of engineering faculty at a single institution regarding what constitutes "mathematical maturity" for engineering students. Faculty emphasized the need for mathematical modeling skills, fluent symbolic representation skills, and a combination of effortless algebraic fluency and ability to use computational tools. The second study is an analysis of the beliefs of engineering faculty at a variety of institutions. These faculty also emphasized modeling, representation, and computation, corroborating the results of the first study. The third study is an analysis of the mathematical content of engineering circuits and statics homework problems. Just 8% of statics problems and 20% of circuits problems use calculus, and in a much more limited way than what is taught in calculus. The fourth study presents a quantitative survey of engineering sophomores' perceptions of the relevance of mathematics to their engineering studies. The students have somewhat favorable views of the relevance of mathematics, but some high-performing students view mathematics as irrelevant.ii To David Pierce, for starting me on the path to becoming an educator.And to Caitlin McGuire, for helping me complete that journey.iii

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Developing Skeptical Reverence for Mathematics

Cited by 2 publications

References 24 publications

When am I ever going to use this? An investigation of the calculus content of core engineering courses

When am I ever going to use this? An investigation of the calculus content of core engineering courses

Mathematical Maturity for Engineering Students

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