Organizing mathematical competitions is typically not a primary objective of mathematical societies and associations, as this is often handled by specialized organizations dedicated to promoting mathematical education and competitions.

Collaboration between mathematical societies and associations serves multiple purposes, including sharing resources and expertise, promoting mathematical research, and advocating for the interests of mathematicians.

Advocacy campaigns are typically not a common form of collaboration between mathematical societies and associations, as they are more likely to be undertaken by individual societies or associations or specialized advocacy organizations.

Collaboration between mathematical societies and associations can provide numerous benefits, including increased visibility and recognition for mathematics, enhanced opportunities for networking and collaboration, and access to a wider range of resources and expertise.

Collaboration between mathematical societies and associations can face challenges such as differences in organizational structures and goals, competition for resources and funding, and lack of communication and coordination.

Mathematical societies and associations can overcome the challenges associated with collaboration by establishing clear goals and objectives, developing effective communication and coordination mechanisms, and fostering a spirit of cooperation and mutual respect.

The International Mathematical Union (IMU), the American Mathematical Society (AMS), and the Mathematical Association of America (MAA) are all examples of successful collaborations between mathematical societies and associations.

Individual mathematicians can contribute to the success of collaborations between mathematical societies and associations by attending conferences and workshops, submitting papers to journals and presenting at conferences, and serving on committees and boards.

Future directions for collaboration between mathematical societies and associations include increased use of technology to facilitate collaboration, expansion of collaborative research projects, and development of new educational programs and resources.

Collaboration between mathematical societies and associations can contribute to the advancement of mathematics by promoting mathematical research, enhancing the visibility and recognition of mathematics, and fostering a spirit of cooperation and mutual respect among mathematicians.