HewroteareportonhisreturntoGermanywhichpraisedhighlythewaythatmathematicsteachingwasorganisedinFrance,buthewascriticaloftheFrenchhavingsuchastrongemphasisontheapplicationsofmathematicsratherthan,whatCrellebelievedin,theimportanceofmathematicallearninginitsownright.Crellewrote(seeforexample):

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He wrote a report on his return to Germany which praised highly the way that mathematics teaching was organised in France, but he was critical of the French having such a strong emphasis on the applications of mathematics rather than, what Crelle believed in, the importance of mathematical learning in its own right. Crelle wrote (see for example ):