Search results for "Ring (mathematics)"
showing 5 items of 5 documents
Algebra Without Context Is Empty, Visualizations Without Concepts Are Blind
2018
In the acquisition and formalization of mathematical concepts, the transition between algebraic and geometric representations and the use of different modes of representation contextualizes abstract algebra. Regrettably, the role of geometry is often limited to the visualization of algebraic facts and figurative memory aids. Such visualizations are blind for the underlying concepts, since transitions between concepts in different representations assume the existence of symbols, language, rules and operations in both systems. The history of mathematics offers contexts to develop geometrical language and intuition in areas currently being taught in school in a purely algebraic fashion. The ex…
An activity theory perspective on contradictions in flipped mathematics classrooms at the university level
2019
Author´s accepted manuscript (postprint). This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Mathematical Education in Science and Technology on 24/03/2019, available online: http://www.tandfonline.com/10.1080/0020739X.2019.1591533.
Performance-Based Engineering of Wind-Excited Structures: A General Methodology
2016
The current prescriptive design philosophy that relies simply on meeting requirements stipulated in standards is shifting towards a performance-based design (PBD) approach for achieving designs that rationally meet society’s need for a truly safe built environment. Extensive research has facilitated the successful adoption of PBD in earthquake engineering, but the same cannot be said for wind engineering. Therefore, the need exists to initiate a similar effort by defining a framework that fully embraces the concepts of PBD during the design of building systems to resist severe wind events. This paper illustrates the development of such a PBD framework. In particular, a method is proposed sp…
Determination of Bubble Size Distribution Using Ultrasound Array Imaging
2020
In this article, ultrasonic phased arrays are deployed as an imaging tool for industrial process analysis. Such arrays are typically used for sonar, medical diagnosis, and nondestructive testing; however, they have not yet been applied to industrial process analysis. The precise positioning of array elements and high frequencies possible with this technology mean that highly focused images can be generated, which cannot currently be achieved using ultrasound tomography. This article aims to highlight the potential of this technology for the measurement of bubble size distribution (BSD) and to demonstrate its application to both intrusive and noninvasive process measurements. Ultrasound imag…
Engineering students' engagement with resources in an online learning environment
2018
International audience; This study explores engineering students' interactions with different resources in an online learning environment. The constituent resources of this environment involve MyMathLab which is an online interactive system for practicing mathematics, the tutorial videos, and the textbook. We conducted a qualitative case study to observe a small group of undergraduate engineering students interacting with the resources in a Calculus course. Employing the documentational approach to didactics, we identified several techniques while participants used resources to practice mathematics in MyMathLab environment. We discuss the pragmatic and epistemic value of the identified tech…