I would say you're probably right about work experience being much more relevant. However, if you went to a very prestigious school, you might want to put it at the beginning for two reasons.
First, the education section takes up relatively little space, and a good school will quickly get the reader's interest.
Secondly, by the end of your work experience section, the reader has probably formed an opinion of you, and a good school won't do much to recover from a mediocre list of jobs.
Of course, none of this actually affects your qualifications for the job. However, HR people usually see things a bit differently than an engineer would...
First, the education section takes up relatively little space, and a good school will quickly get the reader's interest.
Secondly, by the end of your work experience section, the reader has probably formed an opinion of you, and a good school won't do much to recover from a mediocre list of jobs.
Of course, none of this actually affects your qualifications for the job. However, HR people usually see things a bit differently than an engineer would...