We investigate in this paper the link between the moment problem for recursive sequences, the associated Jacobi matrices and the associated analytic functions. We generalize some classical results by providing simple proofs that use functional calculus.

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With the aim of measuring trainee’s academic burnout, the Maslach Burnout Inventory –Student Scale was translated, revised and validated. A cross-sectorial study took place between November and March 2020.The sample consisted 160 trainee teachers (36% males, 64% females) from Kénitra Regional Center of Education and Training (CRMEF). The average age is 27.94 ± 5.44 years. The Data collected was analyzed by SPSS to establish descriptive analysis, calculate reliability, and other psychometric properties. An exploratory factor analysis was used to validate the MBI-SS instrument. The results indicated the conservation of three factors. All subscales had satisfactory reliability. This study can be applied to more specific samples in other regional centers.

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Like everywhere in the world, the sudden onset of the coronavirus pandemic and the consequent closure of schools has imposed distance education as a compulsory alternative. Therefore, teachers have switched to distance education; students have been invited to join the platforms set up. Similarly, Regional Center for Education and Training (CRMEF) has been mobilized to ensure the continuity of the pre-service training for future teachers. This research aims to assess the distance education satisfaction of future teachers during confinement. A descriptive study was conducted by using the Google Forms tool. No less than 360 trainee teachers from the Rabat-Salé-Kenitra Regional Center (CRMEF) participated in the study. A qualitative approach was carried out to develop the construct. After validation of the questionnaire by the research committee, the questionnaire was self-administered. The reliability of the questionnaire was determined. A total of 360 responses were received (30% men and 70% women). Cronbach's alpha of the questionnaire turns out to be 0.8. On the whole, 58.33% of the confined trainees were dissatisfied about distance learning. 60% of the participants did not have computer equipment, while 73.33% reported that they have connection and network problems. Switching to distance learning was not a choice. Remains the best solution to complete the modules of the qualifying training of trainee teachers before their assignment. Empirical research findings and recommendations need to be taken into consideration to practice this approach in the post-pandemic period.