Mathematical manipulatives are physical objects used to teach mathematical concepts in a hands-on way. They can include items like blocks, counters, and geometric shapes that help students visualize and understand abstract ideas. By manipulating these objects, learners can explore relationships, patterns, and problem-solving strategies. These tools are especially beneficial for young learners and those with different learning styles. They promote active engagement and can make complex topics, such as addition, subtraction, and geometry, more accessible. Using manipulatives encourages exploration and fosters a deeper understanding of mathematical principles.