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Article focuses on the term "problem" when you see a standard that expects students to complete mathematical and real world "problems."

Math and logic problems to develop logical reasoning and creative thinking. Sorted by grade or topic.

math practice - common core, drag and drop math - allows kids to work out the problems right on the screen,

This seems like an easy assessment resource that might be good to use w/class sets of iPads.  Teachers can set up their answer sheet on the website, and then students enter a code and take the test on the iPad.  They can even use a work space to solve problems if needed.  

Problem vs. Project

pbs, lesson, resources, and ideas for problem based or inquiry lessons

Online simulations to promote critical thinking and problem solving for the Civics classroom

Love the concept of inteleaving. I think it really supports guide-on-the-side/inquiry and letting the students find the info on their own, first: "When students can't tell in advance what kind of knowledge or problem-solving strategy will be required to answer a question, their brains have to work harder to come up with the solution, and the result is that students learn the material more thoroughly."

Thinkercad is a free open source web-based tool that allows users to learn to design the products of their life. Students will be able to easily design in 3D what they have always dreamed of, but never thought possible. Until now. This is a fantastic tool to introduce real-world fabrication skills that teach student that that they can learn by doing. Tinkercad also has a growing community that helps users learn how to create their first real things in just a few minutes. A great tool!