MALL is usually defined as language learning that is supported through mobile devices or where the learner is mobile. It is not defined by the type of language-learning activity that learners perform through the mobile device/application. It's worth keeping in mind that anything that can be called MALL could also be called CALL since mobile devices are a type of computing device.

Here are some references which should give you a sense of the types of things that fall into the MALL category.

Kukulska-Hulme, A., & Shield, L. (2008). An Overview of Mobile Assisted Language Learning: from Content Delivery to Supported Collaboration and Interaction. ReCALL, 20(3), 271–289. http://doi.org/10.1017/S0958344008000335

Cui, Y., & Bull, S. (2005). Context and learner modelling for the mobile foreign language learner. System, 33(2), 353–367. http://doi.org/10.1016/j.system.2004.12.008

Hockly, N. (2013). Designer Learning: The Teacher as Designer of Mobile-based Classroom Learning Experiences (pp. 1–12). Monterey, CA, USA: The International Research Foundation for English Language Education (TIRF). Retrieved from http://www.tirfonline.org/english-in-the-workforce/mobile-assisted-language-learning/designer-learning-the-teacher-as-designer-of-mobile-based-classroom-learning-experiences/

Godwin-Jones, R. (2011). Emerging Technologies Mobile Apps for Language Learning. Language Learning & Technology (LLT), 15(2), 2–11.

Chinnery, G. M. (2006). Going to the MALL: Mobile Assisted Language Learning. Language Learning & Technology, 10(1), 9–16.

Palalas, A. (2011). Mobile-Assisted Language Learning: Designing for Your Students. In S. Thouësny & L. Bradley (Eds.), Second language teaching and learning with technology: views of emergent researchers (pp. 71–94). Dublin: Research-publishing.net.

Burston, J. (2014). The Reality of MALL: Still on the Fringes. CALICO Journal, 31(1), 103–125. http://doi.org/10.11139/cj.31.1.

Demmans Epp, C. (2015). Mobile adaptive communication support for vocabulary acquisition. Journal of Learning Analytics, 1(3), 173–175.

Demmans Epp, C. (2016). Supporting English Language Learners with an Adaptive Mobile Application (Doctoral). University of Toronto, Toronto, ON, Canada. Retrieved from http://hdl.handle.net/1807/71720

Thank you Carrie for you complete response.... I'm really thankful!

That is what I thought but I had an discussion with a professional and I wanted to double check other opinions.

I will review the references you propose. I am sure they will be very useful.

Regards,

Teresa

You're welcome and good luck!