Decision Making is an important tool both in professional and personal life.Being a Math Teacher or a Mathematician how strong you are in decision making? Can we improve it through some Management courses?
No. We can not see Mathematics just as a set of tools. It is the foundation and backbone of all scientific studies. Actually mathematics is the expression and language of all sciences. Mathematical methods and procedures are widely used in almost all subjects including languages and social sciences. Mathematical methods provide scientific and more precise tools for all types of optimisation problems including decision making problems.
Math is not a set of tools in the same way that a box containing all the possible wood tools is not carpentry. At least one needs to know as using them.
I think your question tries to put in a simple manner a much more challenging query. If you are interested in philosophical aspects of mathematics, I recommend you to eye some of the more recent books of Morris Klein, e.g., The language of shapes; Mathematics and the Search for Knowledge.
I remember that when I started to study mathematics (seriously) I was so surprised that I thought that mathematics was everything. I thought anything could be faithfully mathematized. My consolation was knowing that I was not alone in thinking so. It seem to be that this was a widely shared feeling in some point of the history. This topic, for instance, is treated in he second book that I mentioned above in a very way.
Pure mathematicians often see in mathematics something divine. But in fact it describes not only real but many of imaginary worlds.
Applied mathematician see it as a set of tools quite often. If you know other science and its philosophy, you should select a tool that works optimally for your case.