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Geometric functions approach

Design · All designs
Evidence · 1 claim (1 for) · 1 study (1 causal), q2 · 1 of 1 report an effect size · 1 claim rests on one study

Description

The geometric functions approach treats functions as "geometric transformations of a point in the plane — functions that have geometric points as their input and output" (Steketee, 2012, as cited in the article). Steketee gives four reasons to prioritise it when teaching functions: cognitive (independent variable, dependent variable, and the rule connecting them), kinaesthetic (students create and change the independent variable with a simple drag motion), visual (function behaviour is observed as a visual, dynamic change), and structural (comprehension of domain, range, symbolic display, and set matching in composite functions). The article applies it with GeoGebra dynamic mathematics software on interactive whiteboards in a functions unit.

Design Implications

Context

Requirements

  • Use of advanced technologies such as dynamic mathematics software for application of the approach

Constraints

  • Studied here only for effects on motivation, not other affective domains or achievement

Target Learners

  • ninth-grade high school mathematics students

Learning Goals

  • understanding the function concept, including domain, range, and the vertical line test

Claims

Examples

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Key Sources

  • Akçakın, V. (2018). Teaching Mathematical Functions Using Geometric Functions Approach and Its Effect on Ninth Grade Students’ Motivation. International Journal of Instruction, 11(1), 17-32. https://doi.org/10.12973/iji.2018.1112a
Page metadata
Field Value
type design
id geometric-functions-approach
title Geometric functions approach
description The geometric functions approach treats functions as "geometric transformations of a point in the plane — functions that have geometric points as their input and output" (Steketee, 2012, as cited in the article).
status review
generated by process:settle-candidates on 2026-11-01
trust unverified — no one has confirmed this page's content
sources 1 — akçakın-2018

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