Visualizing Integer Addition on the Number Line by GeoGebra Team

① This example creates a dynamic number-line figure that visually demonstrates integer addition, showing how positive and negative numbers move left or right and combine to yield a sum. ② The core mathematical concepts are integer addition, directed distance on a number line, the meaning of positive and negative numbers, and the commutative property of addition. ③ Construction highlights: using GeoGebra's Vector command to create vectors (u, v) representing the addends, Segment command to draw line segments on the number line, with objects a and b as the addends, points A and B as initial positions, C and D as translated positions, R as the result point, Z as zero, and auxiliary segments c, d, e for labels or guides. Sliders or input boxes allow dynamic adjustment of a and b, placing vectors head-to-tail to reveal the final coordinate. ④ Suitable for upper elementary through middle school students learning rational number operations, and for teachers demonstrating how algebraic rules emerge from geometric intuition, reducing reliance on rote memorization.