Open modelling problems: Cognitive barriers and instructional prompts

S Schukajlow, J Krawitz, J Kanefke, W Blum… - Educational Studies in …, 2023 - Springer
Open mathematical modelling problems that can be solved with multiple methods and have
multiple possible results are an important part of school curricula in mathematics and …

Teacher education for mathematical modelling: exploring the experiences of secondary school teachers in two courses

B Barquero, I Ferrando - ZDM–Mathematics Education, 2024 - Springer
This paper focuses on in-service teacher education as a crucial agent in driving educational
paradigm shifts for the teaching and learning of mathematical modelling. Our paper presents …

[HTML][HTML] Does collaborative and experiential work influence the solution of real-context estimation problems? A study with prospective teachers

C Segura, I Ferrando, L Albarracín - The Journal of Mathematical Behavior, 2023 - Elsevier
Although it is a challenge for primary school teachers, real-context estimation problems can
be used as an introduction to mathematical modeling. With this aim, we designed a two …

Large number estimation as a vehicle to promote mathematical modeling

L Albarracín - Early Childhood Education Journal, 2021 - Springer
This study presents a teaching experiment in which second-grade primary school students
compared a city and a town according to population estimates. The activities were presented …

The role of context for characterising students' strategies when estimating large numbers of elements on a surface

L Albarracín, I Ferrando, N Gorgorió - International Journal of Science and …, 2021 - Springer
This paper presents a qualitative study developed with a group of 16-year-old students who
were asked to estimate large numbers of elements on a bounded surface. Taking the …

Exploring the negotiation processes when developing a mathematical model to solve a Fermi problem in groups

M Brunet-Biarnes, L Albarracín - Mathematics Education Research …, 2024 - Springer
Previous research has highlighted the importance of social relationships in mathematical
group work while working on modelling activities. This study analyses the interaction of sixth …

Relations entre contexte, situation et schéma de résolution dans les problèmes d'estimation

I Ferrando, C Segura, M Pla-Castells - Canadian Journal of Science …, 2020 - Springer
Over the course of this study, we analyze the problem-solving schemes proposed for two
sequences of estimation problems. In the first sequence, the problems ask for estimates …

MAD+. Introducing misconceptions in the temporal analysis of the mathematical modelling process of a Fermi problem

M Pla-Castells, C Melchor, G Chaparro - Education Sciences, 2021 - mdpi.com
This work describes how the combination of the mistakes committed by a group of pre-
service teachers when solving a Fermi problem, with the representation of the temporal …

Análisis de los factores de complejidad en planes de resolución individuales y resoluciones grupales de problemas de estimación de contexto real

CS Cordero, I Ferrando, L Albarracín - Quadrante, 2021 - quadrante.apm.pt
Los problemas de estimación en contexto real pueden utilizarse como iniciación en la
elaboración de modelos matemáticos. En este estudio se recogieron los planes de …

Supporting mathematical modelling by upscaling real context in a sequence of tasks

L Albarracín, C Segura, I Ferrando… - … Mathematics and its …, 2022 - academic.oup.com
Creating and developing mathematical models to solve real-world problems is a complex
task and students often have difficulties in tackling it successfully. The design and …