Usually this kind of language learning is considered to be unintentional and hence not formal as individuals unconsciously pick up the target language by engaging in a casual entertaining activity like watching movies or listening to music. Check my paper on youth culture and integrative motivation.
I am not focusing on informal language learning ( such as watching TV, reading articles) rather on courses beyond the classroom, such as those in the afternoon where you can study for getting an International Language certification..
Nunan, D. (ed) and Richards, J.C. (2014) Language Learning Beyond the Classroom. ISBN 9780415713153. Routledge. https://www.perlego.com/book/1557849/language-learning-beyond-the-classroom-pdf
Benson P. (2011) Language Learning and Teaching Beyond the Classroom: An Introduction to the Field. In: Benson P., Reinders H. (eds) Beyond the Language Classroom. Palgrave Macmillan, London. https://doi.org/10.1057/9780230306790_2 https://researchers.mq.edu.au/en/publications/language-learning-and-teaching-beyond-the-classroom-an-introducti
Also:
Chapter Language Learning and Teaching Beyond the Classroom: An Intr...
You should have elaborated on what you labeled “Formal Language Learning beyond the classroom” in your inquiry. Such a statement could be understood as blended learning, distance learning, or flipped learning, among others. Each has pros and cons, depending on stakeholders’ acceptance of learning formally outside the classroom. You might find the following helpful.
Alotumi, M. (2020). EFL learning beyond the wall with MALL: College students’ perceptions. In R. Ahmed, A. Al-kadi, & T. Hagar (Eds.), Advances in linguistics and communication studies (pp. 138–160). IGI Global. https://doi.org/10.4018/978-1-7998-2116-8.ch007
Birgili, B., Seggie, F. N., & Oğuz, E. (2021). The trends and outcomes of flipped learning research between 2012 and 2018: A descriptive content analysis. Journal of Computers in Education, 8(3), 365–394. https://doi.org/10.1007/s40692-021-00183-y
Bredow, C. A., Roehling, P. V., Knorp, A. J., & Sweet, A. M. (2021). To flip or not to flip? A meta-analysis of the efficacy of flipped learning in higher education. Review of Educational Research, 91(6), 878–918. https://doi.org/10.3102/00346543211019122
Lai, C. (2019). Technology and learner autonomy: An argument in favor of the nexus of formal and informal language learning. Annual Review of Applied Linguistics, 39, 52–58. https://doi.org/10.1017/S0267190519000035
Odo, D. M. (2019). Connecting informal and formal language learning. In The handbook of informal language learning (pp. 421–438). John Wiley & Sons, Ltd. https://doi.org/10.1002/9781119472384.ch28
Richards, J. C. (2015). The changing face of language learning: Learning beyond the classroom: RELC Journal. https://doi.org/10.1177/0033688214561621
Stevanović, A., Božić, R., & Radović, S. (2021). Higher education students’ experiences and opinion about distance learning during the COVID-19 pandemic. Journal of Computer Assisted Learning, 37(6), 1682–1693. https://doi.org/10.1111/jcal.12613
Wang, N., Chen, J., Tai, M., & Zhang, J. (2021). Blended learning for Chinese university EFL learners: Learning environment and learner perceptions. Computer Assisted Language Learning, 34(3), 297–323. https://doi.org/10.1080/09588221.2019.1607881
Thank you for your prompt reply and your kindness.
I was referring to the articles on the formal language .The purpose of learning, as for example at the Language courses beyond the ordinary school and then compare this kind of learning to the ordinary classes to see what the advantages are related to the learning process.
You can search Google Scholar, WOS database and other databases (e.g., ERIC-??) and use suitable key-words search (e.g., "formal language learning", "language learning" + some key-words for learning outside of classroom -e.g, "tuition", etc.).