Answer to Question #180783 in Math for Nest

Question

1. Teaching for understanding is crucial in teaching mathematics, more specially in 

the technological era. Using relevant examples, references discuss how 

technology can be used to promote 

(a) procedural fluency [10]

(b) Conceptual understanding

Answer 1

(a) Procedural fluency refers to knowledge of procedures, knowledge of when and how to use them appropriately, and skill in performing them flexibly, accurately, and efficiently.

(b) Conceptual understanding refers to an integrated and functional grasp of mathematical ideas. 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.

New technology exists that can support a student’s progress towards procedural fluency and conceptual math understanding. On a screen, students can manipulate equation elements using simple drag-and-drop to perform algebra-solving skills. They can experiment and visualize on their own how an equation might be solved.