On the integration of digital technologies into mathematics classrooms

Trouche‘s (2003) presentation at the Third Computer Algebra in Mathematics Education Symposium focused on the notions of instrumental genesis and of orchestration: the former concerning the mutual transformation of learner and artefact in the course of constructing knowledge with technology; the latter concerning the problem of integrating technology into classroom practice. At the Symposium, there was considerable discussion of the idea of situated abstraction, which the current authors have been developing over the last decade. In this paper, we summarise the theory of instrumental genesis and attempt to link it with situated abstraction. We then seek to broaden Trouche‘s discussion of orchestration to elaborate the role of artefacts in the process, and describe how the notion of situated abstraction could be used to make sense of the evolving mathematical knowledge of a community as well as an individual. We conclude by elaborating the ways in which technological artefacts can provide shared means of mathematical expression, and discuss the need to recognise the diversity of student‘s emergent meanings for mathematics, and the legitimacy of mathematical expression that may be initially divergent from institutionalised mathematics

ICT research bursaries : a compendium of research reports a report on the ICT Research Bursaries 2002–03

An assessment of the ways in which teachers evaluate software, Bridging the gap: ICT in the transition year, Colouring outside the lines: research into the potential of using new digital technologies to increase home-school interactivity in a conductive education environment, The development and use of a computer-based model for assessing thinking skills, The Hedley Walter High School: cultural change in learning through the use of new technologies, ICT and subject literacies: a study of the relationship between ICT and subject literacies in the secondary school, An investigation into the visual and kinaesthetic affordances of interactive whiteboards, Making IT happen: patterns of ICT use among a group of UK school staff, Networking success: an investigation of the effectiveness of the Birmingham Grid for Learning's ICT Research Network, The Ripple Project: the whole school impact of conducting learner-centred ICT projects in infant classrooms, The use of interactive whiteboards in the primary school: effects on pedagogy, Video conferencing in the mathematics lesson, Trainee teachers and 'impact' learning: A study of trainees' views on what helps them to use ICT effectively in their subject teaching, An investigation of how different ways of presenting information using ICT may affect children's thinking, New Opportunities Funding: Did it work? A follow-up to NOF training, The HomE-Work Project, e-Learning in broadband-connected classrooms, Digital video and bilingual children with special educational needs: Supporting literacy activities, Sustainability and evolution of ICT-supported classroom practice, The impact of prior technological experiences on children's ability to use play as a medium for developing capability with new ICT tools, How can the use of an interactive whiteboard enhance the nature of teaching and learning in secondary mathematics and modern foreign languages?, Already at a disadvantage? ICT in the home and children's preparation for primary school, The impact of technology on children with physical disabilities: an evaluative case study at a special school in the West Midlands, Bedding in: factors that facilitate implementation and integration of ICT in classroom practice, Developing a networked learning community with ICT - learning the hard way, Exploring the elements that make an effective web-based science lesso

Technology-enhanced Personalised Learning: Untangling the Evidence

Technology-enhanced personalised learning is not yet common in Germany, which is why we have tasked scientists with summarising the current status of international research on the matter. This study demonstrates the great potential of technology in implementing effective personalised learning. Nevertheless, it has not been assessed yet whether the practical implementation actually works: Even in countries such as the U.S., which lead the way in using techology in classroom settings, hardly any evaluation studies have been done to prove the effectiveness of technology-enhanced personalised learning. In the light of the above, the authors make recommendations for actions to be taken in Germany to make best use of the potential of technology in providing individual support and guidance to students

Student experiences of technology integration in school subjects: A comparison across four middle schools

This research examined student perspectives on their in-school, subject specific, technology use in four U.S. public schools. Considering students’ perspectives may provide a significant reframing of adult-created rhetoric of the utopian power of digital technologies for changing teaching and learning. A survey and focus group interviews were administered to 6th and 7th students (n=1,544) in four public middle schools, with varying demographics, that rely on local funding. These four schools revealed moderate use of many well-established digital technologies, such as word processing, presentation software, and quiz games. Students voiced outright hatred for teacher-directed PowerPoint-supported lectures, the most prominent technology activity students experienced, yet reported enjoying creation activities. The students in the rural school with a Hispanic-majority and high economically disadvantaged population reported much lower technology use. Discussion frame the digital inequities in the four schools and emphasizes the need for awareness and inclusion of students’ digital experiences to form any trajectory toward establishing digital equity and learning in schools

Defining Technology for Learning: Cognitive and Physical Tools of Inquiry

This essay explores definitions of technology and educational technology. The authors argue the following points: 1. Educational stakeholders, and the public at large, use the term technology as though it has a universally agreed upon definition. It does not, and how technology is defined matters. 2. For technology in schools to support student learning, it must to be defined in a way that describes technology as a tool for problem-solving. 3. Integration of technology, particularly when paired with teacher-centered practices, has the potential of reinforcing and heightening the negative consequences of a conception of learning that positions students as recipients of knowledge instead constructors of knowledge. Essay concludes with a call for leaders in the field of educational technology to provide guidance by adopting a definition that encapsulates the third point above

Next steps in implementing Kaput's research programme

We explore some key constructs and research themes initiated by Jim Kaput, and attempt to illuminate them further with reference to our own research. These 'design principles' focus on the evolution of digital representations since the early nineties, and we attempt to take forward our collective understanding of the cognitive and cultural affordances they offer. There are two main organising ideas for the paper. The first centres around Kaput's notion of outsourcing of processing power, and explores the implications of this for mathematical learning. We argue that a key component for design is to create visible, transparent views of outsourcing, a transparency without which there may be as many pitfalls as opportunities for mathematical learning. The second organising idea is that of communication, a key notion for Kaput, and the importance of designing for communication in ways that recognise the mutual influence of tools for communication and for mathematical expression

Integrating Technology With Student-Centered Learning

Reviews research on technology's role in personalizing learning, its integration into curriculum-based and school- or district-wide initiatives, and the potential of emerging digital technologies to expand student-centered learning. Outlines implications

The technological mediation of mathematics and its learning

This paper examines the extent to which mathematical knowledge, and its related pedagogy, is inextricably linked to the tools – physical, virtual, cultural – in which it is expressed. Our goal is to focus on a few exemplars of computational tools, and to describe with some illustrative examples, how mathematical meanings are shaped by their use. We begin with an appraisal of the role of digital technologies, and our rationale for focusing on them. We present four categories of digital tool-use that distinguish their differing potential to shape mathematical cognition. The four categories are: i. dynamic and graphical tools, ii. tools that outsource processing power, iii. new representational infrastructures, and iv. the implications of highbandwidth connectivity on the nature of mathematics activity. In conclusion, we draw out the implications of this analysis for mathematical epistemology and the mathematical meanings students develop. We also underline the central importance of design, both of the tools themselves and the activities in which they are embedded

Integration of Technology in Math and Science Education – A Model for Teaching Elementary and Middle School Pre-Service Teachers

This paper describes the development and implementation of a course, Integration of Technology in Math and Science Education, to introduce elementary and middle school pre-service teachers to real technology skills that they can use in their future classrooms. Activities allowed the students to learn technology skills while using the Internet to enrich their content skills and share information with their fellow students. The course was designed to allow students to master a variety of technology skills, and see how these skills can be used appropriately in their future classrooms, while also increasing their comfort level to use the technology and reduce their resistance and anxiety to use it later in their real-time classrooms. During the class hands-on activities, the students became fluent at using the Internet for enrichment and communication, and at developing strategies for using their new skills to present SOL-relevant lesson plans. Students enter this course with very little in the way of educational technology skills, but leave with a teaching toolbox filled with new skills