In the post 5 Tips To Help Students Develop Conceptual Understanding In Math, Crystal Morey describes her approach to inquiry-based instruction and the ways in which she develops students' conceptual understanding.
This quote highlights one problem teachers using this approach run into.
"Since I’ve begun to focus on the development of conceptual understanding, I’ve run into some challenges. Students and parents alike want me to teach short cuts and algorithms. Yet, when I hear students talking and thinking mathematically, I’m certain that this struggle will prepare them to be risk-takers, not only in my classroom but in their daily lives, too."It's a post worth reading. You can also see her in action teaching students about inequalities, with a focus on concepts FIRST and notation last.
Click on the video title to be taken to Teaching Channel for a transcript of the lesson, copy of the lesson plan, and more.