Jonassen, D., Stroble, J. & Beng Lee, C. (2006). Everyday problem solving in engineering: lessons for engineering educators. Journal of Engineering Education, 95(2), 139-151.
 
This is quite a lengthy paper which I shall summarise very briefly. The authors disagree (as many do) with the notion that students can transfer problem solving techniques from typical classroom problems (word problems, usually) to workplace problems, which are ill-structured. They conducted interviews with approximately 90 professional engineers about problems they had encountered and how they had solved them. The authors develop 12 themes which emerged from the interviews, such as “most constraints are non-engineering” and “Engineers primarily reply on experiential knowledge”. The authors close with suggestions for education, such as using PBL (problem based learning). This requires huge commitment from staff and wide ranging reform, however, and can be hard to achieve. Other than that they give suggestions on how to make classroom activities more like workplace situations.
 
Do not treat this blog entry as a replacement for reading the paper. This blog post represents the understanding and opinions of Torquetum only and could contain errors, misunderstandings or subjective views.
 Ollerton, R.L., Iskov, G.H. & Shannon, A.G. (2002). Three-dimensional profiles using a spherical cutting bit: problem solving in practice. International Journal of Mathematical Education in Science and Technology, 33(5), 763-769.
 
This paper is a very interesting application of vector calculus in a real-life context. Computer Numerical Controlled milling machines often use a spherical bit for the milling of high precision 3d surfaces, such as the gripping surfaces of surgical tissue clamps. If we start with a two dimensional curve approximating the undulating surface, we can find three methods of plotting the path of the centre of the spherical bit: basic calculus, Lagrange multipliers and vector calculus. Extending to the 3d surface, the vector calculus method transfers best. In the process of the calculation the concepts of radius of curvature and cycloids come up.
 
Do not treat this blog entry as a replacement for reading the paper. This blog post represents the understanding and opinions of Torquetum only and could contain errors, misunderstandings or subjective views.

April 2021

S M T W T F S
    123
45678910
11121314151617
1819202122 2324
252627282930 

Syndicate

RSS Atom

Most Popular Tags

Style Credit

Expand Cut Tags

No cut tags
Page generated Jun. 11th, 2025 07:29 pm
Powered by Dreamwidth Studios