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Learning mathematical thinking and reasoning is a main goal in mathematical education. Instructional tasks have an important role in fostering this learning. We introduce a learning sequence to approach the topic of integrals in secondary education to support students mathematical reasoning while participating in collaborative dialogue about the integral-as-accumulation-function. This is based on the notion of accumulation in general and the notion of accumulative distance function in particular. Through a case-study methodology we investigate how this approach elicits 11th grade students’ mathematical thinking and reasoning. The results show that the integral-as-accumulation-function has potential, since the notions of accumulation and accumulative function can provide a strong intuition for mathematical reasoning and engage students in mathematical dialogue. Implications of these results for task design and further research are discussed.
Een korte Nederlandse uitleg over het concept 'Whole Systems Approach' op basis van het promotie onderzoek van Anu Manickam van het Lectoraat Duurzaam Coöperatief Ondernemen
Designs for improving energy efficiency in historical buildings are tailor made. For initiators the flexible character of design processes raises uncertainty about why certain energy measures are (not) allowed. How is decision making in thedesign process organised? And what mechanisms influence tailor made designs? In this paper we present an integral design method for energy efficient restoration. Our theoretical background draws on two sources. Firstly, we follow design theory with distinct generic and specific designs. Secondly we use the ‘heritage-as-a-spatial-factor’ approach, where participants with different backgrounds focus on adding value to heritage. By applying the integral design method, we evaluate decision making processes and reflect on heritage approaches. We suggest how the integral design method can be improved andquestion the parallel existence of heritage approaches.
Coastal nourishments, where sand from offshore is placed near or at the beach, are nowadays a key coastal protection method for narrow beaches and hinterlands worldwide. Recent sea level rise projections and the increasing involvement of multiple stakeholders in adaptation strategies have resulted in a desire for nourishment solutions that fit a larger geographical scale (O 10 km) and a longer time horizon (O decades). Dutch frontrunner pilot experiments such as the Sandmotor and Ameland inlet nourishment, as well as the Hondsbossche Dunes coastal reinforcement project have all been implemented from this perspective, with the specific aim to encompass solutions that fit in a renewed climate-resilient coastal protection strategy. By capitalizing on recent large-scale nourishments, the proposed Coastal landSCAPE project C-SCAPE will employ and advance the newly developed Dynamic Adaptive Policy Pathways (DAPP) approach to construct a sustainable long-term nourishment strategy in the face of an uncertain future, linking climate and landscape scales to benefits for nature and society. Novel long-term sandy solutions will be examined using this pathways method, identifying tipping points that may exist if distinct strategies are being continued. Crucial elements for the construction of adaptive pathways are 1) a clear view on the long-term feasibility of different nourishment alternatives, and 2) solid, science-based quantification methods for integral evaluation of the social, economic, morphological and ecological outcomes of various pathways. As currently both elements are lacking, we propose to erect a Living Lab for Climate Adaptation within the C-SCAPE project. In this Living Lab, specific attention is paid to the socio-economic implications of the nourished landscape, as we examine how morphological and ecological development of the large-scale nourishment strategies and their design choices (e.g. concentrated vs alongshore uniform, subaqueous vs subaerial, geomorphological features like artificial lagoons) translate to social acceptance.
Since the 1970s, Caribbean reefs have transitioned from coral-dominated to algal-dominated ecosystems. The prevalence of algae reduces coral recruitment, rendering the reefs unable to recover from additional disturbances and jeopardizing crucial ecosystem services, including coastal protection, fisheries, and tourism. One of the main factors to the proliferation of algae is the scarcity of grazers, which is a result of overfishing and disease outbreaks. While fishing supports livelihoods, enhances local food security, and is an integral part of the Caribbean communities' culture, it remains a significant threat to coral reefs. Consequently, the Nature and Environmental Policy Plan (NEPP) 2020-2030, outlining conservation and restoration priorities in the Caribbean Netherlands, underscores the necessity of an integrated approach to tackle the complex challenges of coral reef restoration and fisheries development. The Saba government, and nature management organizations of Bonaire, St. Eustatius, and Saba are implementing the NEPP. Together with University of Applied Sciences Van Hall Larenstein, Wageningen University and WWF, they aim to identify novel species of native invertebrate grazers with the dual purpose of reef restoration and fisheries diversification. The Caribbean king crab (Maguimithrax spinosissimus), the West Indian sea egg (Tripneustes ventricosus), and the West Indian top shell (Cittarium pica) have been identified as potential candidates. Despite their preference to graze on macroalgae, their current densities are inadequate. Population enhancement of these species holds promise for reducing algae, promoting biodiversity, and simultaneously supporting small-scale fisheries. However, there is limited knowledge regarding the ecological effects and socio-economic potential of these grazers. The ReefGrazers project aims to assess the current densities of these herbivores around the BES islands, analyze their impacts on the reef, and evaluate their retention post-restocking. Socio-economic research will quantify current small-scale fishing practices, while market analysis will help assess the potential for the development of these novel resources as sustainable fisheries.
Despite the vast potential drone technologies have, their integration to our society has been slow due to restricting regulations. Recently, a new EU-wide drone regulation has been published. This regulation is intended to harmonize the non-uniform national regulations across EU. It also relaxes the existing restrictions and allows previously prohibited operations that have significant socio-economic and technological impacts, such as autonomous BVLOS flights even over populated areas. However, there are challenges with regard to specifics and accessibilities of the required technological & procedural prerequisite this regulation entails. There is, therefore, a demand from SMEs for practical knowledge on technological and procedural aspects of a safe, robust and BVLOS operable security drone with short and long-term autonomy that fully complies to the new drone regulation. The required drone technologies include robust obstacle avoidance, intelligence failsafe for robust, reliable and safe autonomous flights with long-term autonomy capabilities. The operational procedures include SORA, pre/in/post-flight analysis and ROC/LUC permissions. In this project, these two aspects will be addressed in an integral manner. The consortium recognizes that developing such advanced security drone in two years is ambitious. Yet, they firmly believe that it is realizable due to the complementary expertise of the consortium and their commitment for the success of the project. With this project, the knowledge institutes will enrich their practical knowledge in the area of autonomous and BVLOS capable drones, operational procedures, risk analysis and mitigations. The partner companies will be equipped with the necessary technologies, operation permission and knowledge on optimal operation procedures to be at the forefront and benefit from the exploding market opportunities when the new regulation is fully implemented in July 2022. Moreover, this project will also make a demonstrable contribution to the renewal of higher professional education.