“Men dominate Bay State boards; Few women are directors at major corporations in Mass., nation.” By Beth Healy and Christina Reinwald. Boston Globe. September 27, 2011. A dozen Massachusetts companies that are among the Fortune 1000 have just one woman on their corporate boards – or none at all, according to a report to be released today by a Boston group that tracks board diversity. Massachusetts corporations are slightly ahead of the national average when it comes to hiring women to serve as directors, reports 2020 Women on Boards. That amounts to one or two women on a board of 10, or 16.7 percent – compared with 14.6 percent nationally. The local group is looking to bring attention to the issue and wants to push that to 20 percent by the end of the decade. “The bigger the company, the better they seem to do at diversity,’’ said Malli Gero, executive director of 2020 Women on Boards. “This moves at a snail’s pace. We think what’s missing is the public’s voice.’’ While other organizations also track diversity on boards, this group is looking to create a national grass-roots effort to put pressure on companies, through social networks. The group is also trying to gain traction among activist investors who can have an influence on large companies.