Answer to Question #183289 in Algebra for Zandile

Question

Both Van de Walle et al., and Hiebert and Grouws define the learning of Mathematics with understanding (the meaningful learning of Mathematics) by means of the network theory as well as a social-cultural perspective with respect to learning.

What is the role of teaching in the meaningful learning of Mathematics? Explain and illustrate your arguments by means of a specific concept(s) from senior-fet phase school Algebra.

Answer 1

1. Conceptual understanding—comprehension of mathematical concepts, operations, and relations
2. Procedural fluency—skill in carrying out procedures flexibly, accurately, efficiently, and appropriately
3. Strategic competence—ability to formulate, represent, and solve mathematical problems
4. Adaptive reasoning—capacity for logical thought, reflection, explanation, and justification
5. Productive disposition—habitual inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and one’s own efficacy

If those roles of teaching in the meaningful learning of mathematics are adopted and properly look into, The teaching and learning of mathematics will be very effective and yield positive result as well.