Nowadays, digital tools for mathematics education are sophisticated and widely available. These tools offer important opportunities, but also come with constraints. Some tools are hard to tailor by teachers, educational designers and researchers; their functionality has to be taken for granted. Other tools offer many possible educational applications, which require didactical choices. In both cases, one may experience a tension between a teacher’s didactical goals and the tool’s affordances. From the perspective of Realistic Mathematics Education (RME), this challenge concerns both guided reinvention and didactical phenomenology. In this chapter, this dialectic relationship will be addressed through the description of two particular cases of using digital tools in Dutch mathematics education: the introduction of the graphing calculator (GC), and the evolution of the online Digital Mathematics Environment (DME). From these two case descriptions, my conclusion is that students need to develop new techniques for using digital tools; techniques that interact with conceptual understanding. For teachers, it is important to be able to tailor the digital tool to their didactical intentions. From the perspective of RME, I conclude that its match with using digital technology is not self-evident. Guided reinvention may be challenged by the rigid character of the tools, and the phenomena that form the point of departure of the learning of mathematics may change in a technology-rich classroom.
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Throughout the last three decades, mathematics educators have expressed high expectations of the benefits of using digital technology in mathematics education. In retrospect, however, we admit that this integration has not always been as successful and as smooth as we hoped for. What were the main phases in this period of drastic changes with respect to tool development and availability, theoretical foci and frameworks, and classroom implementation? To answer this question, I will attempt to summarize relevant publications in the field over the past decades, with a bias towards publications by the main person in this book. I will try to identify main trends, and to synthesize what we have learnt so far, both from an academic “head-in-the-clouds” perspective and from a “feet-on-the-ground” classroom teaching perspective. As an overall conclusion, the claim is that a successful integration of digital tools in mathematics education is a still promising, but subtle matter. Tool use in mathematics education is still waiting for its full exploitation, which will require close collaboration between teachers and researchers.
Expectations are high for digital technologies to address sustainability related challenges. While research into such applications and the twin transformation is growing rapidly, insights in the actual daily practices of digital sustainability within organizations is lacking. This is problematic as the contributions of digital tools to sustainability goals gain shape in organizational practices. To bridge this gap, we develop a theoretical perspective on digital sustainability practices based on practice theory, with an emphasis on the concept of sociomateriality. We argue that connecting meanings related to sustainability with digital technologies is essential to establish beneficial practices. Next, we contend that the meaning of sustainability is contextspecific, which calls for a local meaning making process. Based on our theoretical exploration we develop an empirical research agenda.
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Leerkrachten in Friese basisscholen zoeken naar goede strategieën om meertaligheid te erkennen en effectief in te zetten. Waar het onderwijs tot nu toe twee- en drietalig was (Fries, Nederlands en Engels), hebben leerkrachten nu in toenemende mate te maken met anderstalige migrantenleerlingen. Leerkrachten willen met deze strategieën antwoorden vinden op twee problemen. Ten eerste ervaren ze problemen in de omgang met migrantentalen: ze geven aan dat ze migrantentalen niet willen negeren, maar waarderen en gebruiken vinden ze moeilijk. Ten tweede willen leerkrachten de kwaliteit van het twee- of drietalige basisonderwijs waarin sprake is van taalscheiding, verbeteren. Er wordt per dag of in het Fries, of in het Nederlands of in het Engels onderwezen en geleerd. Men verwacht dat het verbinden van talen hogere resultaten opbrengt. Dit wordt ondersteund door wetenschappelijk onderzoek. Vierentwintig leerkrachten op twaalf basisscholen willen een innovatieve aanpak voor meertalig onderwijs ontwikkelen, die zowel een kader biedt voor de waardering en het gebruik van migrantentalen, als voor een samenhangend gebruik van het Nederlands, het Fries en het Engels in de scholen. Dat geheel vormt de basis van het project Meer kansen Met Meertaligheid (3M). Wetenschappelijk onderzoek levert gevalideerde benaderingen op die moeten worden uitgebreid, gecombineerd en toegesneden op de eigen schoolsituatie om voor de leerkrachten van nut te kunnen zijn. Het 3M-project richt zich op het samen ontwikkelen (d.m.v. ontwikkelingsonderzoek), uitproberen en evalueren van een nieuwe aanpak en nieuwe didactische tools voor meertalig onderwijs (d.m.v. interventieonderzoek). Alle ontwikkelde tools worden in een digitale 3M-Toolbox ondergebracht, die beschikbaar gesteld zal worden aan alle scholen. In de derde plaats vindt een flankerend effect-onderzoek naar (taal)attitudes plaats. In dit project beoogt het consortium een innovatieve kwaliteitsimpuls aan het meertalig basisonderwijs te geven, niet alleen in Fryslân, maar in heel Nederland.
The focus of this project is on improving the resilience of hospitality Small and Medium Enterprises (SMEs) by enabling them to take advantage of digitalization tools and data analytics in particular. Hospitality SMEs play an important role in their local community but are vulnerable to shifts in demand. Due to a lack of resources (time, finance, and sometimes knowledge), they do not have sufficient access to data analytics tools that are typically available to larger organizations. The purpose of this project is therefore to develop a prototype infrastructure or ecosystem showcasing how Dutch hospitality SMEs can develop their data analytic capability in such a way that they increase their resilience to shifts in demand. The one year exploration period will be used to assess the feasibility of such an infrastructure and will address technological aspects (e.g. kind of technological platform), process aspects (e.g. prerequisites for collaboration such as confidentiality and safety of data), knowledge aspects (e.g. what knowledge of data analytics do SMEs need and through what medium), and organizational aspects (what kind of cooperation form is necessary and how should it be financed).
Many lithographically created optical components, such as photonic crystals, require the creation of periodically repeated structures [1]. The optical properties depend critically on the consistency of the shape and periodicity of the repeated structure. At the same time, the structure and its period may be similar to, or substantially below that of the optical diffraction limit, making inspection with optical microscopy difficult. Inspection tools must be able to scan an entire wafer (300 mm diameter), and identify wafers that fail to meet specifications rapidly. However, high resolution, and high throughput are often difficult to achieve simultaneously, and a compromise must be made. TeraNova is developing an optical inspection tool that can rapidly image features on wafers. Their product relies on (a) knowledge of what the features should be, and (b) a detailed and accurate model of light diffraction from the wafer surface. This combination allows deviations from features to be identified by modifying the model of the surface features until the calculated diffraction pattern matches the observed pattern. This form of microscopy—known as Fourier microscopy—has the potential to be very rapid and highly accurate. However, the solver, which calculates the wafer features from the diffraction pattern, must be very rapid and precise. To achieve this, a hardware solver will be implemented. The hardware solver must be combined with mechatronic tracking of the absolute wafer position, requiring the automatic identification of fiduciary markers. Finally, the problem of computer obsolescence in instrumentation (resulting in security weaknesses) will also be addressed by combining the digital hardware and software into a system-on-a-chip (SoC) to provide a powerful, yet secure operating environment for the microscope software.
