Software Process Improvement efforts (SPI) are pursued by organizations for improving the overall quality of their software development processes. However, very small entities (VSEs) avoid them by the lack of required financial and other organizational resources. In contrast, VSEs use agile software development methodologies (ASDMs), but these ASDMs do not foster adherence to best scholastic practices promoted by SPI. Furthermore, while a new ISO/IEC standard (29110) has been recently released for VSEs, it was not designed taking account the ASDM approaches. Thus, we investigate the extent of adherence of main ASDMs (two industrial and one academic type) with this new standard. Initial results provide evidence on the strong need to enhance the two industrial ASDMs (XP and SCRUM). In contrast, the academic ASDM (UPEDU) fits the standard very well but it is scarcely used by VSEs. Hence, it is concluded that there is a knowledge gap between the praxis with ASDMs and the recommended scholastic software processes like the ISO/IEC 29110 standard for VSEs.