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Showing posts from October, 2024

The Importance of Using and Connecting Mathematical Representations

 Mathematics is often perceived as a collection of abstract concepts, but at its core, it’s a rich network interconnected ideas and representations. The use and connection of various mathematical representations—contextual, physical, visual, verbal, and symbolic—are essential for deepening students' understanding of mathematical concepts and procedures. Why Use Multiple Representations? Utilizing multiple representations allows students to approach problems from different angles. Each representation offers unique insights that can make complex ideas more accessible. For instance, a geometric concept can be explored through physical models, visual diagrams, and symbolic equations, providing a more comprehensive understanding. When students see how these representations are interconnected, they can deepen their understanding and gain a greater appreciation for the the coherence and unity of mathematics as a discipline. Enhancing Understanding and Flexibility When students engage with...