الخلاصة:
This research is the study of the first interaction with the new instruction issued by higher educational ministry in Algeria (2022.2023), which stipulates the application of English as a medium of instruction (EMI) in university scientific field , especially in the mathematics field. We devoted this research to first year LMD mathematics students at Ghardaïa university ,it seeks to investigate the difficulties that prevent students from acquiring mathematics in English language, knowing that a large percentage of students fail to continue studying in this field in the mother tongue and what if it is in a foreign language (F L), in the same time this work highlights mathematics teachers’ confusion in choosing the appropriate and successful methodology or frame work they will use with their students to apply (EMI) , and also ,we focused on the specification required on EMI teacher. In this sense the data will be collected from different sources using two instruments including a questionnaire administered to f-y-m-s and an interview with M-Teas, the data will be analyzed relying on a mixed approach which combines both quantitative & qualitative methods. At the end of this dissertation, we discussed in the conclusion some concrete solutions and some proposals that can be implemented in the short & long term.