University mathematics, as an important core foundational course, is closely related to professional courses and occupies an important position that cannot be underestimated. University mathematics courses focus on cultivating students' abilities such as logical reasoning and abstract thinking, but the current teaching effectiveness of university mathematics courses is not optimistic. The teaching effectiveness evaluation of university mathematics education major is MADM. Currently, the CoCoSo and CRITIC technique was put forward MADM issue. The double-valued neutrosophic sets (DVNSs) are put forward characterizing fuzzy data during the teaching effectiveness evaluation of university mathematics education major. In this study, CRITIC technique was put forward the determination of attribute weights and double-valued neutrosophic number CoCoSo (DVNN-CoCoSo) technique is administrated for MADM. Finally, numerical example for teaching effectiveness evaluation of university mathematics education major is put forward to show the DVNN-CoCoSo technique.