What does conceptual understanding in math look like?

Students with conceptual understanding know more than isolated facts and methods. They understand why a mathematical idea is important and the kinds of contexts in which is it useful. They have organized their knowledge into a coherent whole, which enables them to learn new ideas by connecting those ideas to what they already know.

What does procedural fluency without conceptual understanding look like?

You have no excuse not to read its brief chapter on procedural fluency. Then critique thatdefinition. Conceptual understanding refers to an integrated and functional grasp of mathematical ideas. Students with conceptual understanding know more than isolated facts and methods.

When did my teaching focus on conceptual understanding?

When my teaching started to evolve into one that focused more on conceptual understanding rather than rote memorization, I started asking one question of all my students: “How/Why does your solution make sense to you?”

What does Michio Kaku mean by conceptual understanding?

What is Conceptual Understanding? In his keynote speech at ISTE 2016, Michio Kaku explained that educational development and teaching methods often follow breakthroughs and waves of technology. As new waves of technology emerge, teaching and learning expand throughout grade levels in breadth and depth to match the wave’s necessity for skills.

What does it mean to have conceptual understanding?

Conceptual understanding refers to an integrated and functional grasp of mathematical ideas. Students with conceptual understanding know more than isolated facts and methods.

Which is the best video for conceptual understanding in math?

I recently got a sneak peak of Leah Alcala’s new video, Concept First, Notation Last. While Leah is probably best known on Teaching Channel for her My Favorite No and Highlighting Mistakes strategy videos, this new example of practice is a chance for us to see how Leah helps her students develop conceptual understanding in math.

What are some examples of conceptual thinking in Grade 1?

In the image below, Grade 1 student illustrations show the concept of a performer; the students collaboratively analyzed the images to come up with attributes like being in front of an audience. Drawings created by first graders show their understanding of the concept “performer.”