Colloquial Language vs The Language of Maths

The learners are now becoming more familiar, excited and engaged with problem solving tasks in Maths. They are also becoming more confident in sharing their ideas and strategies with the class. Asking questions to gain clarity is consistently being worked on with learners asking more 'Why' and 'How' questions.
The next step I had planned was to introduce a 'What if we' and a 'Could we' into the sharing session in order for learners to think deeper about strategies being used and deepen the level of understanding of the big ideas around Maths. I have however changed course slightly as I am beginning to wonder if, when and how to transition learners into using more mathematical vocabulary when explaining their ideas and strategies. My fear is that all the fantastic shift in attitude, and improved communication will suffer. I would need to do more research with regards to how best to implement this shift and whether this shift in use of vocabulary is necessary at this stage. Currently the learners are communicating effectively and having their voices heard by their peers. The big question is:

Would the introduction of more mathematical language change the tone of the problem to one that is more impersonal and thus loose the interest of the learners.

Research:

NZ MATHS LINK

Best Evidence Synthesis Iteration By Glenda Anthony and Margaret Walshaw.