"Maths" is a lot more than arithmetic (A rat in Tommy's house...).
The most important mathematical discipline in science is simple Boolean logic that (at least at one time) was taught as part of the freshman high school math curriculum. The tools of logical thought and formal deduction rather than "hand waving" explanations are the *first* requirements.
More to the point of the article...
Scientists generally organize themselves into a couple of different disciplines--simply because the skill sets (and technical requirements) tend to diverge:
Statistical analysis and mathematical modeling (the subject of the article) are extremely important to both.
The job of the theoretician is to produce a descriptive, predictive, and testable mathematical model and study that model. And to describe experiments and predict what the results might be *if* the model and the hypotheses it's built on are representative of reality.
The job of the experimentalist is to determine whether the model is actually consistent with reality.
Take as a timely example the theoretician's prediction of gravity waves, and around a hundred years later, the experimentalist's observation of same.
Makes a nice ringtone...and a nice conversation starter--when folks ask "what's that noise", you can explain how science takes a lot of persistence and work.
Of course, sometimes experimentalist invalidates the theoretician's model; this is when some of my old professors told me "I was writing Science Fiction...didn't mean to, but the results are in...". Of course you have the theoretician who refuses to submit to experiment, but that doesn't mean they're all charlatans.