PoliTabla® and ColorFrac® manipulatives have been designed to enhance active learning and deep understanding of key concepts in algebra and fractions. Both resources allow students to explore mathematics in a tangible, visual, and meaningful way, facilitating the transition from concrete to abstract thinking.

PoliTabla® is an educational manipulative focused on developing algebraic thinking. Its structure consists of a rectangle whose edges have three different lengths on both axes: the shortest represents the unit (1), the middle one represents the variable x, and the longest represents the variable y. This arrangement allows algebraic products to be constructed and visualized in a concrete way. The set includes ten liguillas: six light blue ones to express positive values and four black ones to represent negative values. Through its use, students can model operations such as the multiplication of binomials and polynomials, factorization, and forms of division. In addition, its compatibility with Algeblocks® algebraic blocks allows it to be integrated into broader teaching sequences, covering intermediate to advanced levels.

For its part, ColorFrac® supports the teaching of fractions by using primary colors and their combinations to represent fractional relationships in a clear and concrete way. This manipulative allows students to explore unit fractions, equivalent fractions, mixed and improper numbers, as well as model fundamental operations such as addition, subtraction, multiplication, and division of fractions. Its visual and manipulative approach helps overcome common barriers in learning fractions, making the concepts more accessible and understandable for all students.

With PoliTabla® and ColorFrac®, learning mathematics becomes a dynamic experience that strengthens logical reasoning, mathematical visualization, and conceptual understanding through concrete practice.