In the late 80’s and early 90’s there was the idea of ‘calculus reform’ and some emphasis and syllabus changed. The order of doing things in calculus also changed with the advantage of technology. Similarly in linear algebra, there was a linear algebra curriculum study group that produced some really good ways of teaching linear algebra and highlighted curriculum changes. This was produced in the January 1993 College Mathematics Journal. Has any similar work been covered in (Further) Engineering Mathematics? I am looking for what are important topics to cover and any work or research on the teaching of Engineering Mathematics. I am looking for some sort of framework.
I'm unaware of a major reform in engine math. If you look at the major selling textbooks, for instance, they remain pretty traditional. The most popular, Kreyszig, is one that I had in the mid-80s (and fifth edition already then). Granted there can be innovation (these author name texts become brands like Grey's Anatomy), but scanning the book I don't see much difference, now.
I did a Google Scholar search and there's pretty little out there.
Several of the top hits are actually papers on reforming all math that engineers take, with an emphasis really on calculus. See for instance the several paper on Wright State University, but if you read them, you see the issue was engineers failing first year calculus. Probably reflecting a general issue of sending a lot of kids to college and then weeder courses inevitably (and easily) culling many of them. But in any case, it's not really about "engine math" or what physicists call a "math methods" course.
I would even caution you that in calculus, the reform movement (funded by NSF in the 90s) has pretty much crested, past, and increasingly been forgotten. Can argue if this was the intransigence of the teachers or the drawbacks of the reform. I grant the former, but think the latter applies also. But in any case, even if it rocked, it didn't "win", not like flat TVs killed CRTs. Thomas sells more than Hughes Hallet. Stewart is pretty commercial and tries to be all things, but I wouldn't really consider it a reform text. My point is that even if you find some article (or text) on reformed engine math, I wouldn't assume that it was tested and successful in the market place. At least look at it carefully yourself, before pushing it, to see what you like...not just because it is labeled "reform".