One could easily replace mathematics with writing, or music, or science, or political science, and the argument would still hold true, though the examples would change.
Challenge: Why not use examples from various subject areas? I understand trying to maintain consistency throughout the article, but it would be helpful to view examples in different content areas.
In this these six previous tools work together to develop a synthesis greater than the sum of its parts.
Extend: Synthesis is referred to as being "greater than the sum of its part", which reminds me of the TPACK framework and the sweet spot (the point where all three parts are synthesized). All the other tools described (perceiving, patterning, abstracting, embodied thinking, modeling, and deep play can be directly linked to one or more parts of the TPACK framework and can be used as teaching strategies to help educators better understand how to use TPACK in their own areas.
When innovative people play with things, or concepts, or processes, they may open doors to new ways of thinking via unexpected breakthroughs.
Connection: This reminds me of the Maker Movement which allows the creation of new concepts and ideas by "thinking out of the box".
The end goal of solving this challenge will be to diffuse the most effective pedagogies throughout entire schools, districts, and nations.
Timeframe? Process?
Edukata
Sounds like a valuable tool for the Finnish.