Paul Drijvers
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View article: An embodied approach to covariational reasoning: a hand-tracking study
An embodied approach to covariational reasoning: a hand-tracking study Open
Covariational reasoning is critical for understanding functional relationships in mathematics. Yet, many students struggle to understand varying quantities and to conceptualize covariation. This study explores the research question of how …
View article: Identifying students’ solution strategies in digital mathematics assessment using log data
Identifying students’ solution strategies in digital mathematics assessment using log data Open
Background Students take many tests and exams during their school career, but they usually receive feedback about their test performance based only on an analysis of the item responses. With the increase in digital assessment, other data h…
View article: Chapter 11 Students' interaction with and appreciation of automated informative tutoring feedback
Chapter 11 Students' interaction with and appreciation of automated informative tutoring feedback Open
Computer aided formative assessment can be used to enhance a learning process, for instance by providing feedback. There are many design choices for delivering feedback, that lead to a feedback strategy. In an informative feedback strategy…
View article: Primary school teachers’ practices for fostering embodied abstraction in geometry
Primary school teachers’ practices for fostering embodied abstraction in geometry Open
Where embodied cognition perspectives are on the rise in mathematics education, little is known on how mathematics teachers can foster embodied learning. Especially when aiming for abstraction by students, knowledge on embodied teaching pr…
View article: Transactional Distance and Interaction in Hybrid Education: a Case Study
Transactional Distance and Interaction in Hybrid Education: a Case Study Open
In recent years, hybrid education has gained attention for teaching and interacting with two groups simultaneously, where both teachers and students face challenges with interaction. We hypothesise that transactional distance plays a role …
View article: How can participation in a Learning Study foster prospective teachers’ mathematical knowledge for teaching?
How can participation in a Learning Study foster prospective teachers’ mathematical knowledge for teaching? Open
This case study explores the impact of a Learning Study (LgS) course on pre-service teachers' (PSTs) Mathematical Knowledge for Teaching (MKT), and its central domains Specialized Content Knowledge (SCK), Knowledge of Content and Students …
View article: Entering the car park - Primary pupils' spontaneous understanding of programmed control systems in their daily life environment
Entering the car park - Primary pupils' spontaneous understanding of programmed control systems in their daily life environment Open
Programmed control systems are ubiquitous in the present-day world. In current educational practice, however, these systems are hardly being addressed, and little is known about children’s spontaneous understandings about such systems. The…
View article: Reifying actions into artifacts: process–object duality from an embodied perspective on mathematics learning
Reifying actions into artifacts: process–object duality from an embodied perspective on mathematics learning Open
Grasping mathematical objects as related to processes is often considered critical for mathematics understanding. Yet, the ontology of mathematical objects remains under debate. In this paper, we theoretically oppose internalist approaches…
View article: Developing Functional Thinking: from Concrete to Abstract Through an Embodied Design
Developing Functional Thinking: from Concrete to Abstract Through an Embodied Design Open
In addressing the challenge of fostering functional thinking (FT) in secondary school students, our research centered on the question of how an embodied design can enhance FT’s different aspects, including input–output, covariation, and co…
View article: Computational Thinking in Secondary Mathematics Education with GeoGebra: Insights from an Intervention in Calculus Lessons
Computational Thinking in Secondary Mathematics Education with GeoGebra: Insights from an Intervention in Calculus Lessons Open
Nowadays, mathematics teachers in K–12 strive to promote their students‘ mathematical knowledge and computational thinking (CT) skills. There is an increasing need for effective CT-embedded mathematics learning material and a better unders…
View article: Effects of a Learning Trajectory for statistical inference on 9th-grade students’ statistical literacy
Effects of a Learning Trajectory for statistical inference on 9th-grade students’ statistical literacy Open
In our data-driven society, it is essential for students to become statistically literate. A core domain within Statistical Literacy is Statistical Inference, the ability to draw inferences from sample data. Acquiring and applying inferenc…
View article: Developing Functional Thinking: From concrete to abstract through an embodied design
Developing Functional Thinking: From concrete to abstract through an embodied design Open
In addressing the challenge of fostering functional thinking (FT) among secondary school students, our research centered on the question of how an embodied design can enhance FT's different aspects, including input-output, covariation and …
View article: Automated Gaze-Based Identification of Students’ Strategies in Histogram Tasks through an Interpretable Mathematical Model and a Machine Learning Algorithm
Automated Gaze-Based Identification of Students’ Strategies in Histogram Tasks through an Interpretable Mathematical Model and a Machine Learning Algorithm Open
As a first step toward automatic feedback based on students’ strategies for solving histogram tasks we investigated how strategy recognition can be automated based on students’ gazes. A previous study showed how students’ task-specific str…
View article: Assessing Students’ Learning when Interpreting Histograms: A Gaze-Based Machine Learning Analysis
Assessing Students’ Learning when Interpreting Histograms: A Gaze-Based Machine Learning Analysis Open
Students consistently misinterpret histograms. Statistics education literature suggests that solving dotplot items can support correct histogram interpretations. We therefore explore how students’ micro-level histogram interpretations alte…
View article: Introduction to the proceedings of the thirteenth Congress of theEuropean Society for Research in Mathematics Education(CERME13)
Introduction to the proceedings of the thirteenth Congress of theEuropean Society for Research in Mathematics Education(CERME13) Open
International audience
View article: Making sense of distribution: A case of dépaysement
Making sense of distribution: A case of dépaysement Open
International audience
View article: Constraints and conditions for teaching data science as part of mathematical modelling in upper secondary mathematics
Constraints and conditions for teaching data science as part of mathematical modelling in upper secondary mathematics Open
International audience
View article: Designing an instrument to measure the development of techno-mathematical literacies in an innovative mathematics course for future engineers in STEM education
Designing an instrument to measure the development of techno-mathematical literacies in an innovative mathematics course for future engineers in STEM education Open
Techno-mathematical Literacies (TmL), which are defined as a combination of mathematical, workplace and ICT knowledge, and communicative skills, are acknowledged as important learning goals in STEM education. Still, much remains unknown ab…
View article: Theories and practical perspectives on fostering embodied abstraction in primary school geometry education
Theories and practical perspectives on fostering embodied abstraction in primary school geometry education Open
To reach for abstraction is a major but challenging goal in mathematics education: teachers struggle with finding ways how to foster abstraction in their classes. To shed light on this issue for the case of geometry education, we align the…
View article: Spreadsheets in Secondary School Statistics Education: Using Authentic Data for Computational Thinking
Spreadsheets in Secondary School Statistics Education: Using Authentic Data for Computational Thinking Open
Computational thinking (CT) is gaining attention in education as a part of digital literacy and can be addressed in several disciplines, including mathematics. Through the lens of Brennan and Resnick’s framework, we investigated how comput…
View article: Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13)
Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13) Open
International audience
View article: Three complementary frameworks to capture student peer discussion in problem solving
Three complementary frameworks to capture student peer discussion in problem solving Open
Peer discussions play a major role in students’ collaborative problem-solving activity. These discussions provide researchers and teachers with a wealth of information about the students' reasoning. To analyse such discussions, different t…
View article: Two inquiry approaches to STEM: The role of mathematics
Two inquiry approaches to STEM: The role of mathematics Open
International audience
View article: Geometrical reasoning in the intersection between historical original sources and the dynamic geometry environment GeoGebra
Geometrical reasoning in the intersection between historical original sources and the dynamic geometry environment GeoGebra Open
This paper addresses how an interplay between original sources and digital tools can support students’ possibilities to develop the constructive facet of the reasoning competency among 7th grade students. This is done through a use of the …