What teaching approach is being implemented when students use both standard and non-standard measurements?

The use of both standard and non-standard measurements in teaching fits well within the constructivist theory. This approach emphasizes hands-on, experiential learning where students build their understanding through active engagement and exploration. By using various measurement systems, students can relate their prior knowledge to new concepts and make sense of mathematical ideas in a meaningful way.

Real-world applications, like measuring objects with different tools or everyday items, allow students to develop a deeper grasp of measurement concepts. They can compare, contrast, and analyze different approaches, fostering critical thinking and problem-solving skills. This constructivist approach encourages collaboration and conversation among peers, enabling them to articulate their thought processes and discover solutions collectively.

The other theories mentioned—behaviorist, cognitivist, and essentialist—focus on more rigid frameworks of learning or content delivery, which do not specifically promote the interactive and flexible learning environment that using both measuring systems encourages.