Which learning theory does Mrs. Campbell's activity of having students create and explain their equations and graphs align with?

Mrs. Campbell's activity of having students create and explain their equations and graphs aligns with Constructivist learning theory because this approach emphasizes the active role of learners in constructing their knowledge and understanding through hands-on experiences. In constructivism, learning is seen as a process where students build their understanding based on their experiences, previous knowledge, and social interactions.

By encouraging students to create their own equations and graphs, Mrs. Campbell is promoting critical thinking and deeper comprehension of mathematical concepts. This aligns with the principles of constructivism, where learners actively engage with the material, explore, experiment, and reflect on their understanding. When students explain their work, they further solidify their knowledge and develop metacognitive skills, which are key elements of constructivist practice.

This method contrasts with behaviorism, which focuses primarily on observable behaviors and external reinforcements, and sociocultural learning theory, which emphasizes social interactions and culture as key elements of learning. Social learning theory, on the other hand, centers around learning through observation and imitation rather than through personal construction of knowledge.