In the literature review on teacher education aimed at integrating technology to mathematics lessons we presented in the topic study group 43 at the 13th ICME conference, we brought to the fore a lack of standards for teaching mathematics with technology, which is, in our view, an issue for the actors of teacher education. In this paper, we tackle this issue by presenting existing ICT standards at the international and national levels and analyse them through the lenses of TPACK model and double instrumental genesis. We argue that the existing standards are too general, as they are neither school level, nor subject matter specific. We call the mathematics education community to take this issue in consideration.