Arthur Bakker

Arthur Bakker
Utrecht University | UU · Department of Mathematics

PhD

About

263
Publications
292,370
Reads
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6,109
Citations
Introduction
Research projects are about embodied cognition, interest in science and mathematics, multilingualism, statistics education, and equity and inclusion. I have written a book about design research in education (Routledge). Akkerman, Penuel and I have published an article in Educational Researcher on the relevance of educational research. As editor-in-chief of Educational Studies in Mathematics I care about quality of research and writing. Postpandemic I am interested in the future of education.
Additional affiliations
May 2013 - March 2017
Utrecht University
Position
  • Fellow
September 2006 - present
Utrecht University
Position
  • Professor (Associate)
Description
  • Associate professor, researcher 1 also at the Faculty of Behavioural and Social Sciences (Leseman group)
September 2004 - October 2007
University of London
Position
  • Techno-mathematical Literacies
Education
September 1989 - October 1995
University of Amsterdam
Field of study
  • Mathematics

Publications

Publications (263)
Article
In this review, we evaluate the claim that translanguaging in the classroom supports the development of the bilingual lexicon by enhancing cross-linguistic transfer. To address this issue, we integrate findings from psycholinguistics and educational sciences in order to identify how effective pedagogical practices for monolingual children can be ex...
Article
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The forced online education during the COVID pandemic in 2020 and 2021 showed many teachers how valuable video can be as a teaching tool. Videos have the potential to raise pupils' interest in educational content. The mechanisms of raising interest, however, have hardly been studied in actual materials used in actual classrooms. This study aims to...
Article
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This paper comprises the results of a design study that aims at developing a theoretically and empirically based learning trajectory on statistical inference for 9th-grade students. Based on theories of informal statistical inference, an 8-step learning trajectory was designed. The trajectory consisted of two similar four step sequences: (1) experi...
Article
Embodied cognition theory emphasizes that bodily interaction with the environment is important for all forms of learning, including mathematics. This theoretical trend coincides well with developments in motion responsive technology, and has resulted in numerous embodied technologies for mathematics learning. This review aims to contribute to clari...
Article
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Educational research is repeatedly confronted with the question of its relevance. Current interpretations of relevance narrowly focus on outcomes and impact of research. In this essay, we propose an alternative, ontological conceptualization of relevance, arguing that more is at stake than outcomes and impact. We characterize the ontology of educat...
Article
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Recent developments in cognitive and educational science highlight the role of the body in learning. Novel digital technologies increasingly facilitate bodily interaction. Aiming for understanding of the body’s role in learning mathematics with technology, we reconsider the instrumental approach from a radical embodied cognitive science perspective...
Article
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In this paper, we combine dialogic and embodied theories of learning to create a unified analytic lens. Embodied cognition is a theoretical approach operating under the premise that thinking and communication are multimodal activities. Under this premise, dialogue between learners needs to be conceptualized using a multimodal lens. We identify mult...
Article
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Digital technology is indispensable for doing and learning statistics. When technology is used in mathematics education, the learning of concepts and the development of techniques for using a digital tool are known to intertwine. So far, this intertwinement of techniques and conceptual understanding, known as instrumental genesis, has received litt...
Article
Film has been used for education ever since educators recognized its powerful potential for learning. But its educational application has been criticized throughout the decades for underuse of the distinctive potential of film: to raise interest. To understand more fully film’s potential for learning, we propose a dynamic model of viewer interest a...
Article
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Het W&T-onderwijs op de basisschool kent verschillende uitdagingen, die we in deze ontwerpstudie aangaan door begrips-en (vak)taalontwikkeling tegelijkertijd te onder-steunen. Daartoe ontwikkelden we een taalgerichte lessenserie die het leren verklaren van drijven en zinken, en de daartoe benodigde denkstappen, tot doel had. Deze studie evalueert h...
Article
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Before the pandemic (2019), we asked: On what themes should research in mathematics education focus in the coming decade? The 229 responses from 44 countries led to eight themes plus considerations about mathematics education research itself. The themes can be summarized as teaching approaches, goals, relations to practices outside mathematics educ...
Chapter
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Enactivism theorizes thinking as situated doing. Mathematical thinking, specifically, is handling imaginary objects, and learning is coming to perceive objects and reflecting on this activity. Putting theory to practice, Abrahamson's embodied-design collaborative interdisciplinary research program has been designing and evaluating interactive table...
Article
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Educators in mathematics have long been concerned about students' motivation, anxiety, and other affective characteristics. Typically, research into affect focuses on one theoretical construct (e.g., emotion, motivation, beliefs, or interest). However, we introduce the term affective field to account for a person's various affective factors (emotio...
Technical Report
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Vragen en opmerkingen zijn welkom bij hoofdaanvrager Arthur Bakker (a.bakker4@uu.nl)
Article
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open access editorial: https://link.springer.com/article/10.1007/s10649-020-09969-w
Article
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There is increasing attention for interest as a powerful, complex, and integrative construct, ranging in appearance from entirely momentary states of interest to longer-term interest pursuits. Developmental models have shown how these situational interests can develop into individual interests over time. As such, these models have helped to integra...
Article
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Technological advancement provides an unprecedented amount of high-frequency data of human dynamic processes. In this paper, we introduce an approach for characterizing qualitative between and within-subject variability from quantitative changes in the multi-subject time-series data. We present the statistical model and examine the strengths and li...
Article
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Hoe kunnen we toekomstige hbo-ingenieurs voorbereiden op de wiskundige vaardigheden die ze nodig hebben in hun werk? Wat is de update die dit wiskundeonderwijs nodig heeft? In deze Fizier bespreken we een nieuwe cursus toegepaste wiskunde die we hebben ontworpen.
Article
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While various studies suggest that informal statistical inference (ISI) can be developed by young students, more research is needed to translate this claim into a well-founded learning trajectory (LT). As a contribution, this paper presents the results of a cycle of design research that focuses on the design, implementation, and evaluation of the f...
Article
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Open access (Editorial Notes): https://link.springer.com/article/10.1007/s10649-020-09946-3
Article
(...) In this editorial, we discuss the first of the five overarching problems: defining and measuring learning opportunities precisely enough to study how to maximize the quality of the opportunities experienced by every student.
Conference Paper
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Educational research is often of limited use to designers, as it typically offers descriptions of or explanations for how education was or currently is. In this paper we argue that generalizability is not enough; what deserves more attention is generativity. Designers and educators need actionable knowledge on how education could be. To substantiat...
Conference Paper
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There is increasing attention for the embodied and extended nature of mathematical cognition but the bodies of literature on embodied and on extended cognition have developed mostly separately. We propose a new step in the tradition of networking theories: design research from two theoretical perspectives to promote integration. Embodied design and...
Conference Paper
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As cognitive science reports joint action requiring tight intercorporeal coordination between two partners, we aim to evaluate the role of this coordination in computer-supported instrumental genesis for mathematics. In our dual eye-tracking design study we developed an embodied activity that potentially contributes to technologically extended prob...
Article
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The workplace practices of engineers have changed due to the ubiquity of digital technology. So-called techno-mathematical literacies (TmL), seen as a domain specification of 21st-century skills, are essential for future engineers. How these TmL can be fostered in their education, however, is still unclear. To address this issue, we conducted a des...
Article
Histograms are widely used and appear easy to understand. Research nevertheless indicates that students, teachers and researchers often misinterpret these graphical representations. Hence, the research question addressed in this paper is: What are the conceptual difficulties that become manifest in the common misinterpretations people have when con...
Presentation
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Discussion of our recent editorial (https://link.springer.com/article/10.1007/s10649-019-09908-4) in which editors of math ed journals argue that effect sizes should not be interpreted uncritically on the basis of benchmark tables (S-M-L), but should be compared with results from similar studies. We are critical of evidence-based policy based on av...
Article
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Open access to this editorial: https://link.springer.com/article/10.1007/s10649-019-09908-4
Presentation
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Keynote presentation at ICTMT14
Conference Paper
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It has been argued that teachers need practical principled knowledge and that design research can help develop such knowledge. What has been underestimated, however, is how to make such know-how and know-why useful for teachers. To illustrate how principled knowledge can be “practicalized”, we draw on a design study in which we developed a professi...
Presentation
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Part 1 of a seminar on writing and publishing journal articles at PME 2019
Conference Paper
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Students persistently misinterpret histograms. Based on a literature review we conjectured that the confusion of histograms with case-value plots was leading to inappropriate interpretation strategies. Hence, the question for this research is: what are the most common strategies for secondary school students when estimating the mean in histograms a...
Presentation
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https://digtep.sites.uu.nl/2018/10/24/conference-on-mathematical-ability/
Preprint
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The scarce research on teachers indicate that they often misinterpret histograms. We conjecture that the confusion of histograms with case-value plots is the source of many misinterpretations. Therefore, the question for this study is: what are the most common strategies of secondary school teachers when interpreting histograms and case-value plots...
Article
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Given the growing interest in the scaffolding process, it is worthwhile to address competing accounts about the origin of this term. The concept was empirically introduced by Wood, Bruner, and Ross in 1976 and has often been associated with the “zone of proximal development” in the writing of L.S. Vygotsky. We trace the origins of it in instances o...
Article
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https://www.sciencedirect.com/science/article/pii/S1747938X16300306?via%3Dihub [open access]ed The authors regret an incorrect reference to Rosen (2009) in the following sentence: A notable exception is Rosen (2009), who report substantially positive effect-sizes for ... (p. 159). The corrected sentence should read: A notable exception is Rosli, Ca...
Article
The importance of promoting mathematical creativity in education is increasingly acknowledged. Several strategies have been recommended to foster mathematical creativity such as creating an open atmosphere in the classroom, offering open lessons and possibly enriching mathematics education with ideas from other disciplines and experiences from out-...
Chapter
What is typical of a vocational curriculum is that it is a course of learning across different school‐ and work‐based practices. This chapter discusses such learning in terms of boundary crossing between these practices. We conceptualize boundaries as sociocultural differences that lead to discontinuity in action or interaction. Such discontinuitie...
Chapter
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In the context of this book, innovation is about achieving desirable goals in domain-specific education. The various contributions to the second part of the book provide knowledge about how to achieve something worthwhile in a particular domain, and all do so in the form of design principles as a result from design research. Such principles are pop...
Article
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Whereas much research on interest development focuses on single, predefined, and generic objects of interest (e.g., science) in specific contexts (e.g., science classroom), this study proposes a person-objects-contexts (i.e., P-O-Cs) perspective that accounts for idiosyncrasy and multiplicity of interests and contexts and consequent intrapersonal d...
Article
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Teachers are increasingly using video in their lessons, with various aims (eg, to raise students’ levels of conceptual knowledge or interest). Videos that can be used for educational purposes are numerous, ranging from instruction videos to fiction films. Such videos have different characteristics, for example regarding the amount and structure of...
Article
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Educational Studies in Mathematics (ESM) has reached a special point in its history. Some 50 years ago, in 1968, it was founded by Hans Freudenthal, and now, January 2019, it offers its 100th volume. We celebrate these milestones in several ways. Open access: https://rdcu.be/bcRKZ
Article
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Research on solving mathematical word problems suggests that students may perform better on problems with a close to real-life representation of the problem situation than on word problems. In this study we pursued real-life representation by a mainly depictive representation of the problem situation, mostly by photographs. The prediction that stud...
Article
The authors explore the definition of embodied cognition and explain its relevance and importance to medical education and health care.
Book
Design Research in Education is a practical guide containing all the information required to begin a design-research project. Providing an accessible background to the methodological approaches used in design research as well as addressing all the potential issues that early career researchers will encounter, the book uniquely helps the early caree...
Conference Paper
Full-text available
Many people misinterpret histograms. The conjecture is that some of these misinterpretations emerge from the application of interpretation strategies associated with case-value plots. To investigate this, eye-movement data were collected from six university students solving questions on histograms and case-value plots. Analysis of gaze data and cue...
Chapter
This chapter focuses on the process of orienting oneself within the early stage of a design research project. We show how using conjecture mapping helped to align educational theory and design in art education. In particular, conjecture mapping was used to construct a more focused line of theoretical reasoning and to improve the design.
Chapter
This chapter highlights the roles that teachers can take within a design research project. The example provided here, by Ute Konrad who is one of the students in a Bremen research group, concerns music education at secondary school. She initially approached the teacher as an implementer of her design ideas, but increasingly felt the need to involve...
Chapter
This chapter presents a case study of a design research project in its early phase. We discuss how the formulations of research questions developed and illustrate the exploratory design phase in which choices had to be made about how to capture design ideas as design principles, conjecture maps, or hypothetical learning trajectories.
Conference Paper
Full-text available
Inspired by the current embodiment turn in the cognitive sciences, researchers of STEM teaching and learning have been evaluating implications of this turn for educational theory and practice. But whereas design researchers have been developing domain-specific theories that implicate the role of physical movement in conceptual learning, the field h...
Poster
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Students’ strategies solving problems about statistical graphs Histograms appear to be easy to interpret. However, research indicates many persistent misconceptions. One common misconception becomes manifest when students estimate the mean from histograms. Students often perceive the bars in a histogram as representing one single case each, instea...
Presentation
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Presentation in Dutch on design research at KU Leuven, Belgium, for educators and researchers
Presentation
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Embodied cognition is trending in developmental and educational research. The idea that the body is involved in cognitive development is, however, not new. Piaget (1970) already described that cognition results from children's interactions with objects. Thelen and Smith (1994) extended Piaget's proposal by stating that cognition never ceases to be...
Article
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Interest in science, technology, engineering and mathematics (STEM) has lately received attention in research due to a gap between the number of STEM students and the needs of the labour market. As interest seems to be one of the most important factors in deciding what to study, we focus in the present study on how STEM-interested students weigh mu...
Article
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The purpose of the design-based research reported here is to show – as a proof of principle – how the idea of scaffolding can be used to support primary teachers in a professional development programme (PDP) to design and enact language-oriented science lessons. The PDP consisted of six sessions of 2.5 h each in which twelve primary school teachers...
Article
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This article reports on a post hoc study using a randomised controlled trial with 31,842 students in the Netherlands and an instrument consisting of 21 paired problems. The trial showed a variability in the differences of students’ results in solving contextual mathematical problems with either a descriptive or a depictive representation of the pro...
Article
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Open access: https://link.springer.com/article/10.1007/s11251-018-9450-8 Discovery learning continues to be a topic of heated debate. It has been called a zombie, and this special issue raises the question whether it may be a phoenix arising from the ashes to which the topic was burnt. However, in this commentary I propose it is more like an eleph...
Article
To gain insight into how teachers’ judgment accuracy can be improved, we investigated effects of cue-type availability. While thinking aloud, 21 teachers judged their fourth grade students’ (n = 176) decimal magnitude understanding. Sensitivity (correctly judging what students did understand) did not improve from availability of both answer cues (s...
Article
http://rdcu.be/wl2d This guest editorial introduces the topic of the special issue on inferentialism in mathematics education. First, we briefly summarise what inferentialism is – a semantic theory of concept use and content – and point out what it is not – for example, a learning or a psychological theory. Then we argue why we think inferentialism...
Conference Paper
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a.bakker4@uu.nl Design research is considered a valuable but demanding methodological framework that continues to generate theoretical and methodological reflection. An important topic to address is that of argumentative grammar, the logic guiding a method and supporting warranted claims, because critics consider it a weak spot of design research....
Conference Paper
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Line of thought of the previous working groups in CERME5 to CERME9 Since CERME4 in 2005, theoretical approaches and perspectives have been the topic of an ongoing CERME working group. The idea of the networking of theories emerged at CERME 4 and was explored in the subsequent conferences. At CERME 5 (Arzarello et al., 2007), the diversity of theori...