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Kapitola

Linking a graph and a formula of a function

Enikő Schnürerová
Rok vydání: 2026

https://doi.org/10.5817/CZ.MUNI.P280-0906-2026-22
Linking a graph and a formula of a function pdf, 747KB

Abstrakt

This paper analyses and evaluates the solutions of 45 Slovak second-year high school students when solving a task focused on linking the graphical and algebraic representations of linear function. The most common student strategies involved determining the coefficient b from the y-intercept, followed by either substitution of the coordinates of a point lying on the graph or calculation of the slope a as the ratio of changes ∆y/∆x. More than half of the students faced difficulties and misconceptions, the most common being the incorrect interpretation of the x-coordinate of the x-intercept as the coefficient b. The results suggest significant student difficulties in translating the function from a graphical to an algebraic representation and insufficient understanding of the essence of the slope.

Klíčová slova

Linear Function; Graph; Formula; Linking Representations of Function

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