Research in mathematics education aims at improving mathematics teaching and learning at all levels. In particular, it studies:

• Processes and products of mathematics teaching and learning, from kindergarten to university
• The teaching and learning of arithmetic, algebra, calculus, geometry, probability and statistics, and logics
• Interdisciplinarity of mathematics, especially in relation to the growth of STEAM disciplines
• Theoretical frameworks to observe and interpret mathematical activities within the classroom: particularly, semiotics, embodiment and multimodality
• Theoretical frameworks to observe and interpret teacher professional development activities and teacher-researcher interactions in institutional contexts
• Mathematical meanings in institutional and social contexts
• The role of technologies in mathematics teaching and learning
• The role of material activity and imagination in mathematics
• Summative and formative assessment in mathematics learning

• Italian mathematical Schools in modern and contemporary times (17th-20th centuries): the international circulation and recognition of their research work and its diffusion in various fields of knowledge.
• Critical editions of letters, manuscripts and archival sources for historical studies.
• Study of mathematical heritages
• History of mathematics teaching in Italy (17th-20th centuries) in an international perspective
• History of mathematics for mathematics education at all school levels