Mathematical Communication refers to the Communication by which learners discuss, share, analyze, and make their sense of Maths. It used to express mathematical thoughts and ideas.

Communication in Mathematics develops the ability to organize, consolidate, and express mathematical thinking among the students. 

Note that:

• Mathematical communication involves precise use of language so that students can understand both problem and solution better.
• Conjectures refers to statements which are likely to be true based on available evidences, but they are not formally proven. They help in constructing knowledge of mathematics.
• Hypothesis refers to an assumption taken to be true (it should not be confused with conjectures since conjectures are based on certain evidences). It helps in proving formulae and theorems in mathematics.
• Mathematics statements are said to be true if certain arguments are proved to be valid, hence the notion of argumentation is central to mathematics.

Hence, Conjectures have utility in constructing mathematical knowledge.