Combined use of the extended theory of connections and the onto-semiotic approach to analyze mathematical connections by relating the graphs of f and f'

CA Rodríguez-Nieto, FM Rodríguez-Vásquez… - Educational Studies in …, 2023 - Springer
The literature reports that students have difficulties connecting different meanings, multiple
representations of the derivative, and performing reversibility processes between …

Examining individual and collective level mathematical progress

C Rasmussen, M Wawro, M Zandieh - Educational Studies in Mathematics, 2015 - Springer
A challenge in mathematics education research is to coordinate different analyses to
develop a more comprehensive account of teaching and learning. We contribute to these …

Using social network analysis to investigate mathematical connections in US and Chinese textbook problems

S Li, L Fan - Humanities and Social Sciences Communications, 2024 - nature.com
Textbooks, as potentially implemented curricula, play an important role in supporting
classroom teaching and learning. Mathematical connections, one of the essential and hot …

Mathematical and neuro-mathematical connections activated by a teacher and his student in the geometric problems-solving: A view of networking of theories

BM Cantillo-Rudas, CA Rodríguez-Nieto… - Eurasia Journal of …, 2024 - ejmste.com
The research goal is twofold: to articulate neuro-mathematics with the extended theory of
mathematical connections that uses onto-semiotic approach tools and to explore the …

The development of a linear algebra schema: learning as result of the use of a cognitive theory and models

M Trigueros - ZDM, 2019 - Springer
Learning is a complex phenomenon. Analyzing its development can provide knowledge
about regularities and differences in students' progress, which is needed to better …

Examining students' procedural and conceptual understanding of eigenvectors and eigenvalues in the context of inquiry-oriented instruction

K Bouhjar, C Andrews-Larson, M Haider… - … and strategies in …, 2018 - Springer
This study examines students' reasoning about eigenvalues and eigenvector s as evidenced
by their written responses to two open-ended response questions. This analysis draws on …

Linear algebra teaching and learning

M Trigueros, M Wawro - Encyclopedia of mathematics education, 2020 - Springer
What does language background have to do with mathematics education? The term
language background can be used to refer to the particular set of national, social, and …

Explorative potential of linear algebra tasks

MN Wallach, E Heyd-Metzuyanim… - Twelfth Congress of the …, 2022 - hal.science
Learner centered instruction, although becoming more prevalent, has been less explored in
university settings. In this study, we examine tasks that were aimed at supporting student …

Misconceptions about determinants

C Kazunga, S Bansilal - Challenges and strategies in teaching linear …, 2018 - Springer
In Zimbabwe, the topic determinant of matrices is usually covered as part of the first-year
linear algebra courses. In this study, we focused on Zimbabwean teachers who were …

High school Colombian students' variational thinking triggered by mathematical connections in a laboratory on linear functions

K Nuñez-Gutierrez, CA Rodríguez-Nieto… - … Electronic Journal of …, 2025 - iejme.com
The variational thinking of high school students based on mathematical connections was
analyzed through a laboratory on linear functions. This qualitative research based on design …