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I think creating spaces to learn is allowing students opportunities for self discovery.  (My quick initial thought)

"Creating space to learn" is allowing students to explore, do research and promote independent learning. It also is creating a physical space and providing materials for students to engage in learning.  Creating a space to learn is realizing that teachers have to compete with outside factors to focus on a particular task. For example, competing against Nitendo DS, Wiis, etc.