What model could be beneficial in helping students connect concrete and abstract algebraic reasoning?

A pictorial model effectively bridges the gap between concrete and abstract algebraic reasoning by providing visual representations of mathematical concepts. This approach allows students to see relationships and operations in a tangible way, which can enhance their understanding of abstract symbols and operations used in algebra. For instance, when students can visualize equations or functions through diagrams or drawings, they can better grasp how numerical values and variables interact.

By using pictorial models, educators can engage students' visual learning styles while simultaneously guiding them towards more abstract thinking. For example, illustrating a linear equation with a graph or using area models to represent polynomial multiplication makes it easier for students to translate these visual elements into algebraic expressions. This connection not only aids in comprehension but also fosters retention of mathematical concepts, as students can see the practical application of algebra in their visual representations.