Learning Math by building on previously learned concepts illustrates which learning theory?

The concept of learning math by building on previously learned concepts aligns with constructivism, a learning theory that emphasizes the idea that learners construct knowledge through their experiences and interactions with the world. Constructivists believe that understanding is built gradually as new information is assimilated into existing cognitive structures.

In this context, when a student learns math, they do not simply memorize formulas or procedures. Instead, they actively make connections to prior knowledge, applying concepts from simpler problems to solve more complex ones. This approach allows for deeper understanding and retention, as knowledge is not seen as isolated facts but as interconnected ideas.

Constructivism encourages exploration, problem-solving, and the development of critical thinking skills, which are essential in subjects like mathematics where each new concept often depends on comprehension of previous ones. This method fosters a more meaningful learning experience, as students become engaged in the process of discovering and constructing their own understanding, rather than passively receiving information.