Analysing theories of meaning in mathematics education from the onto-semiotic approach

JD Godino, M Burgos, MM Gea - International Journal of …, 2022 - Taylor & Francis
The notions of meaning and sense, which are closely related to understanding, play an
essential role in educational processes in general and, therefore, in the teaching and …

Covariational reasoning and invariance among coordinate systems

KC Moore, T Paoletti, S Musgrave - The Journal of Mathematical Behavior, 2013 - Elsevier
Researchers continue to emphasize the importance of covariational reasoning in the context
of students' function concept, particularly when graphing in the Cartesian coordinate system …

The effect of GeoGebra on university students' understanding of polar coordinates

R Owusu, E Bonyah, YD Arthur - Cogent Education, 2023 - Taylor & Francis
This study sought to examine the impact of dynamic mathematics software, GeoGebra, on
university mathematics students' understanding of polar coordinates. A quasi-experimental …

The effectiveness of the GeoGebra Programme in the development of academic achievement and survival of the learning impact of the mathematics among secondary …

MS Alabdulaziz, SM Aldossary, SA Alyahya… - Education and …, 2021 - Springer
The objective of this research is to identify the effectiveness of the GeoGebra program in
developing academic achievement and ensuring survival of the learning impact of the …

Students' images of two-variable functions and their graphs

E Weber, PW Thompson - Educational Studies in Mathematics, 2014 - Springer
This paper presents a conceptual analysis for students' images of graphs and their
extension to graphs of two-variable functions. We use the conceptual analysis, based on …

Students' understanding of the general notion of a function of two variables

R Martínez-Planell, M Trigueros Gaisman - Educational Studies in …, 2012 - Springer
In this study we analyze students' understanding of two-variable function; in particular we
consider their understanding of domain, possible arbitrary nature of function assignment …

Teachers' spatial literacy as visualization, reasoning, and communication

D Moore-Russo, JM Viglietti, MM Chiu… - Teaching and Teacher …, 2013 - Elsevier
This paper conceptualizes spatial literacy as consisting of three overlapping domains:
visualization, reasoning, and communication. By considering these domains, this study …

On students' understanding of the differential calculus of functions of two variables

R Martínez-Planell, MT Gaisman, D McGee - The Journal of Mathematical …, 2015 - Elsevier
APOS Theory is applied to study student understanding of the differential calculus of
functions of two variables, meaning by that, the concepts of partial derivative, tangent plane …

Análisis de la actividad matemática mediante dos herramientas teóricas: Registros de representación semiótica y configuración ontosemiótica

JD Godino, MR Wilhelmi, TF Blanco… - … de investigación en …, 2016 - dialnet.unirioja.es
Para comprender las dificultades y conflictos de aprendizaje, es necesario analizar las
tareas matemáticas y los diversos modos de abordarlas por los estudiantes. Dicho análisis …

A study of semiotic registers in the development of the definite integral of functions of two and three variables

DL McGee, R Martinez-Planell - International Journal of Science and …, 2014 - Springer
Tracing the path from a numerical Riemann sum approximating the area under a curve to a
definite integral representing the precise area in various texts and online presentations, we …