of those that did so reported explicitly on how their theoretical frame shaped the design of research methodologies/ approaches guiding activities with teachers. One significant outcome has been the difficulty of relating teachers' learning to collaboration within a project, although many initiatives report developments in teaching, teacher learning and students' learning.
In this survey paper, we describe the state of the field of research on teaching mathematics with technology with an emphasis on the secondary school phase. We synthesize themes, questions, results and perspectives emphasized in the articles that appear in this issue alongside the relevant foundations of these ideas within the key journal articles, handbooks and conference papers. Our aim is to give an overview of the field that provides opportunities for readers to gain deeper insights into theoretical, methodological, practical and societal challenges that concern teaching mathematics with technology in its broadest sense. Although this collection of articles was developed prior to the global coronavirus pandemic, we have taken the opportunity to survey the contributing authors to provide some country perspectives on the impact the pandemic has had on mathematics teaching with technology in the period January–July 2020. We conclude the survey paper by identifying some areas for future research in this increasingly relevant topic.
EDUCATE is a London‐based programme that supports the development of research‐informed educational technology (EdTech), allowing entrepreneurs and start‐ups to create their products and services, and simultaneously grow their companies in a more evidence‐informed manner. The programme partners businesses with researchers who mentor, guide and support this research journey, a key aspect of which is the evaluation of the company’s EdTech product or service. However, conducting impact evaluations of technology in education is challenging, particularly for early stage technologies, as rapid cycles of innovation and change are part of their essence. Here, we present the pragmatic approach to evidence‐informed education technology design and impact evaluation, as developed and adopted by the EDUCATE programme. The research process is shaped by the core principles of evidence‐informed decision making detailed in the paper. The contributions of the paper are threefold. First, it defines and details an academia‐industry‐education collaboration model centred on a research training programme. Second, it presents emerging impact results of the programme. Third, it provides clear reflections on the challenges encountered during the implementation of the model in the EdTech ecosystem of London, which should be addressed if we are to move towards evidence‐informed EdTech globally.
The authors of this paper were tasked by ICME-13 organisers with conducting a survey on the topic "Mathematics Teachers Working and Learning through Collaboration". Four research questions guided the survey, concerned with: the nature of collaborative working; the people who engage collaboratively; the methodological and theoretical perspectives used; what learning could be observed and how it related to collaboration? The resulting survey drew from a wide range of sources, identifying papers relevant to the topic-316 papers were identified, analysed against a set of criteria and organised into three major themes, each relating to one or more of our research questions: Different contexts and features of mathematics teachers working in collaboration; Theories and methodologies framing the studies; Outcomes of collaborations. In addition to the papers revealed by the survey, the team sought contributions from projects around the world which are not represented in the published literature. Members from these projects offered 'narratives' from the work of teachers in the projects. This paper reports on the nature of the projects revealed by the survey and the narratives, their theoretical and methodological focuses, and the range of findings they expressed. While we offer a significant range of factors and findings, resulting from a very considerable work, we are aware of limitations in our study: we missed relevant papers in journals outside our range; papers reviewed were usually not authored by teachers so the teachers' voice was often missing; narratives came from projects with which we were familiar, so we missed others. The survey team is in the process of initiating an ICMI study which can take this work into these missing areas. This paper follows closely the presentation made by the survey team at the ICME-13 congress. In presenting findings from the survey, we have tried to provide examples from and make reference to the survey papers. Because the set of references would be too large to fit within our word limit, we have had to reduce the number of references made. However, readers can find a full set of references in a more detailed paper, Robutti et al. in (ZDM Mathematics Education, 48(5), 651-690, 2016).
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