Integer Addition Test: Geometric Construction via Vectors and Segments

This GeoGebra applet demonstrates integer addition by mapping the “sum of integer steps” to a geometric result: vector translation and the corresponding segment outcomes. It helps learners see how arithmetic addition can be represented and verified through geometry. The main mathematical ideas include vector representation of moves, the geometric meaning of vector addition, and using coordinate differences to interpret linear relationships (and related notions such as difference/slope for checking consistency). Construction highlights from the provided summary: the applet relies on the GeoGebra commands Vector and Segment, creating multiple vector and segment objects (e.g., a, b, A, B, u, v, C, D, R, Z, g, h, i, r, c) to represent addends, results, and connecting lines, while text1–text5 provide labels for the integer-step/addition correspondence. Suitable for middle school through early university, especially for teaching vector geometry, modeling arithmetic with geometry, and using interactive verification in class or lab.