Which is more important when classifying university professors, their research level or their academic level in the subjects they teach their students?

Which is more important, research experience or teaching experience? 
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Venkat Nageshwar Rao Shedimbi
In my opinion its application to real life. For example solving simultaneous equations with many (or even two) variables is not understood at academic level. Its tought in a mechanical way to solve using matrix or other approaches. For example to solve linear PDEs into linear algraic equations and their solution using matrix procedure is applied in civil engineering. Say solving Groundwater levels after a given rainfall recharge for initial and boundary conditions. Mathmatic/ numerical experts do not know to give real life examples for students to understand how simultaneous euations solution is used in real life.
Accepted
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Bob Sonawane
In my opinion and professonal experience , both research publications and academic level in the subjects taught by the University professors are important  to maintain or enhance the unversity standards and stature. 

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