Estimating Fractions on a Number Line with Error Visualization

① This interactive GeoGebra example demonstrates how to estimate the positions of fractions on a number line, using dynamic buttons and visual feedback to show the estimation process and associated errors. ② Core mathematical concepts include fraction representation, correspondence between points and real numbers on a number line, estimation error calculation, and basic statistical ideas such as frequency and density. ③ Construction highlights: the example employs GeoGebra commands such as Sequence to generate ordered points, Segment for the number line, Element to access list items, Frequency to count occurrences, Max for maximum values, If for conditional logic, Circle and IsInRegion for region-based checks; key objects include list7, list6, dens, error, flist, H, G, F, E, D, A, B, f_1, C, list1, a, b, c, button1, p, I, J, K, L, M, button2, button3, text1–text5, N, O, list2, d, P, Q, R, with multiple buttons controlling interactions. ④ Suitable for upper elementary and middle school students learning fractions and number lines, as well as for teachers demonstrating estimation strategies and error analysis to foster number sense and statistical thinking.