Abstract: In 2017, we proposed a European project: Rules $$\_$$ Math, in order to find new rules to assess mathematical competencies. This proposal was a consequence of what we were facing separately in our daily classes. We teach mathematics in several engineering schools, and we want to change the way of teaching and learning for engineering students. Some university teachers from different departments usually teach mathematics as we have learned mathematics. They only give master classes but students usually want to write numbers and formulas to learn and practice mathematical reasoning and to distinguish mathematical symbols. To communicate in, with, and about Mathematics, they need mathematical thinking, and to use aids and tools for mathematical activity. We have included in this papers our proposal to make this possible, and to assess mathematical competencies.
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