This article is simply not true.
1) Some topics are introduced earlier (like Swedish, our second language)
2) More topic based learning. Learn multiple subjects for example during a project. (So subjects still remain)
3) Change of roles. Teacher should be seen more of a guide and the student should be more active in how the learning should take place.
4) More IT. For example programming is introduced in first grade.
5) "Extensive learning". Learn about learning, thinking, communications, taking care of yourself, working, entrepreneurship, sustainable future etc.
Source: I'm Finnish and checked from the official "Board of Education" site (in Finnish) http://www.oph.fi/saadokset_ja_ohjeet/opetussuunnitelmien_ja...
Edit: Subjects are not completely gone but there will be more topic based projects that combine multiple subjects
http://www.oph.fi/english/current_issues/101/0/statistics_of...
That, I think, is the best part.
"Finnish schools are obliged to introduce a period of “phenomenon-based teaching” at least once a year. These projects can last several weeks. In Helsinki, they are pushing the reforms at a faster pace with schools encouraged to set aside two periods during the year for adopting the new approach. Ms Kyllonen’s blueprint, to be published later this month, envisages the reforms will be in place across all Finnish schools by 2020."