Affordances from Number Lines in Fractions Instruction: Students’ Interpretation of Teacher’s Intentions

Middle Grade Students’ Evoked Concept Images of Number Line Models and Their Calculation Strategies with Integers Using These Models

“…While the notion of negative can be perplexing for new learners, the number line provides a visual aid by indicating a zero-point, visually separating the positive from the negative. As for integers, number line models are also used for rational and real numbers for conceptualizing percentages, ratios, proportions, and differences (Bobis & Bobis, 2005;Deliyianni, Gagatsis, Elia, & Panaoura, 2016;Hamdan & Gunderson, 2017;Patahuddin, Usman, & Ramful, 2018;Treffers, 1991;Tunc-Pekkan, 2015).…”