You might find useful information in the Encyclopedia of Mathematics Education; see:

https://link.springer.com/referencework/10.1007%2F978-94-007-4978-8

Dear Prof. Dr. K. Jones,

Thank you very much for suggestion. I had checked the Encyclopedia of Mathematics Education before posing the question in which "learning and teaching" is mentioned. The mathematics learning and teaching process is mentioned with these kinds of prefix and suffix such as: Function learning and teaching, learning and teaching of algebra, calculus learning and teaching and etc.

I could not find something for:

mathematics learning and teaching situations

Best regards,

May be some response here

http://www.springer.com/gp/book/9780792345268

and some here

https://dico-ddm.blogspot.fr/2012/08/situation-didactique_8.html

dear, you will find useful information in links below:

https://link.springer.com/chapter/10.1007%2F0-306-47203-1_5

https://www.tandfonline.com/doi/abs/10.1080/10573560601158461

www.generationready.com/wp-content/.../Effective-Teaching-of-Mathematics.pdf

www.tandfonline.com/doi/abs/10.1080/09500780508668666

https://www.discretization.de/media/filer.../20140413icm-proceedings-ziegler.pdf

Mathematics teaching is the act of imparting mathematical knowledge, methods, calculations, computational techniques etc by someone( teacher) to another. It may be formal in an educational setting or informal.

Mathematics teaching refers to the process of impacting mathematical knowledge that involves problems solving, numeracy skills, rational thinking, logical reasoning an so on to the learners under the guidance of the teacher(s).

I Think that: Teaching mathematics means teaching abstract concepts, arithmetic operations (procedures), symbols, diagrams, mathematical knowledge, methods, calculations, computational techniques terms, theories, and generalizations related to mathematics to students in different academic levels.