Several attacks happened before that.
http://en.wikipedia.org/wiki/Bath_School_disaster
http://en.wikipedia.org/wiki/Cokeville_Elementary_School_hostage_crisis
http://en.wikipedia.org/wiki/1976_Chowchilla_kidnapping
http://en.wikipedia.org/wiki/Oklahoma_City_bombing
The last one OKC was not a school but there was a day care there in which 19 children died.
Then there is a photo of people trapped in the WTC on 9-11-2001 in which it looks like one woman is holding a baby.
The first mass murder school shooting did occur in 1990. The Bath School disaster was a bomb planted by the 55 year old School Board Treasurer angry at being defeated in an election for City Clerk. Cokeville in 1986 was a former Town Marshall disgruntled about being fired 6 years earlier who held a bomb and demanded $2 million dollars ransom per hostage. Chowchilla in 1976 was 3 men who kidnapped kids from a school bus and demanded ransom. Oklahoma City in 1995(after 1990) was the bombing of an office building.
None of these were mass school shootings. One occurred after 1990.
The article was very specific. Mass Murder shootings in schools where the perp "succeeded" in killing more than 4. Not bombs, gas cans, etc.