Amid worldwide shift towards adopting English as a medium of instruction (EMI) within the scope of higher education, various views have been expressed regarding the importance of English language proficiency among students in acquiring mathematics and mathematics-related content. Considering a diverse array of factors involved in the role of the language in the learning process, more emphasis should be placed on approaching the issue from a different angle. With this purpose in mind, this paper is aimed at supporting a differentiated approach pertaining to teaching varied content disciplines through the language within the framework of English for academic purposes. According to the approach, an effective transfer of knowledge can be provided by suiting the language of instruction to different studied fields taking into account their specificities. As a result of adopting the approach into the fields, decision makers will be able to create fertile ground for equipping students with necessary language skills suitable for their field of study. The process of creation of the ground needs to be based, among other things, on establishing and conducting differentiated policies and strategies matching with the contents to be learned. This, in turn, will promote students' understanding of the taught material. As an example of such a strategy, EMI students taking math courses are not supposed to encounter serious language difficulties and will cater their educational needs. The paper argues that drawing on specific discipline versions of English will yield appreciable results due to the highest possible degree of realisation of EMI potential.