Visualizing Multiplication of Natural Numbers by kneido

① This example demonstrates the multiplication of natural numbers through an interactive geometric grid, where the product is shown as a rectangular array of points or cells, making the concept of repeated addition visually tangible. ② Core mathematical concepts include natural number multiplication, area models, sequences, and continuity, with connections to limits, congruence, quadratic functions, and division, providing a foundation for later algebra. ③ Construction highlights: using GeoGebra commands such as Point, Segment, OrthogonalLine, Circle, Intersect, Line, Polygon, and Sequence, the applet builds rows and columns (Columns, Rows) with points A, B, C, D and auxiliary objects a, b, c, d, e, then uses lists list1, list2 and text objects text1-text5 to dynamically display the product and the corresponding equation. ④ This is ideal for upper elementary to middle school students, helping them understand multiplication visually, and also serves as a template for teachers to create interactive math demonstrations.