A Proposal for a Problem-Driven Mathematics Curriculum Framework

A framework for a problem-driven mathematics curriculum is proposed, grounded in the assumption that students learn mathematics while engaged in complex problem-solving activity. The framework is envisioned as a dynamic technologicallydriven multi-dimensional representation that can highlight the nature of the curriculum (e.g., revealing the relationship among modeling, conceptual, and procedural knowledge), can be used for programmatic, classroom and individual assessment, and can be easily revised to reflect ongoing changes in disciplinary knowledge development and important applications of mathematics. The discussion prompts ideas and questions for future development of the envisioned software needed to enact such a framework

A conceptual model of personalized virtual learning environments

The Virtual Learning Environment (VLE) is one of the fastest growing areas in educational technology research and development. In order to achieve learning effectiveness, ideal VLEs should be able to identify learning needs and customize solutions, with or without an instructor to supplement instruction. They are called Personalized VLEs (PVLEs). In order to achieve PVLEs success, comprehensive conceptual models corresponding to PVLEs are essential. Such conceptual modeling development is important because it facilitates early detection and correction of system development errors. Therefore, in order to capture the PVLEs knowledge explicitly, this paper focuses on the development of conceptual models for PVLEs, including models of knowledge primitives in terms of learner, curriculum, and situational models, models of VLEs in general pedagogical bases, and particularly, the definition of the ontology of PVLEs on the constructivist pedagogical principle. Based on those comprehensive conceptual models, a prototyped multiagent-based PVLE has been implemented. A field experiment was conducted to investigate the learning achievements by comparing personalized and non-personalized systems. The result indicates that the PVLE we developed under our comprehensive ontology successfully provides significant learning achievements. These comprehensive models also provide a solid knowledge representation framework for PVLEs development practice, guiding the analysis, design, and development of PVLEs. (c) 2005 Elsevier Ltd. All rights reserved

The development of an inclusive model to construct teacher’s professional knowledge: pedagogic content knowledge for sound-based music as a new subject area

The file attached to this record is the author's final peer reviewed version.This paper outlines a systematic process for developing the different knowledge domains required for teaching sound-based (electroacoustic) music as a new subject area. As a new area within the discipline of music, teachers are novices to the field. This requires epistemological deconstruction of what knowledge teachers need in this new field. Then the analysis outlines how to develop teachers’ new knowledge; which can be constructed as: subject content knowledge (SCK), pedagogic content knowledge (PCK) and technology pedagogic content knowledge (TPACK). This epistemological analysis informed our creation of teaching materials that develop these different knowledge domains and take account of the complex interplay between them. This process was demonstrated through the ElectroAcoustic Resource Site Projects to: build first subject content knowledge; then create teacher’s packs to build pedagogic content knowledge; and a bespoke CPD programme to embed their inter-relationships and build technology pedagogic content knowledge. Most importantly, creating the teacher’s packs employed a user-centred design approach, putting teachers and pupils in the centre of the development process, thereby giving them voice. Voice is an integral part of empowerment in our model, which is conceptualised as practicing ‘communicative action’ (Habermas 1984) and disrupts the hegemonic grip of the academic curriculum dominated by the tradition music canon. This paper adds to the knowledge-base regarding how to develop the different domains required for teaching a new subject. We argue that sound-based music is accessible to all teachers and learners, thereby increasing inclusivity. This in turn can radically disrupt ways of teaching music in schools and the model created provides the necessary scaffolding for a paradigm shift in music teaching on an international level

How can exploratory learning with games and simulations within the curriculum be most effectively evaluated?

There have been few attempts to introduce frameworks that can help support tutors evaluate educational games and simulations that can be most effective in their particular learning context and subject area. The lack of a dedicated framework has produced a significant impediment for uptake of games and simulations particularly in formal learning contexts. This paper aims to address this shortcoming by introducing a four-dimensional framework for helping tutors to evaluate the potential of using games- and simulation- based learning in their practice, and to support more critical approaches to this form of games and simulations. The four-dimensional framework is applied to two examples from practice to test its efficacy and structure critical reflection upon practice

A teaching experiment to foster the conceptual understanding of multiplication based on children's literature to facilitate dialogic learning

The importance of conceptual understanding as opposed to low-level procedural knowledge in mathematics has been well documented (Hiebert & Carpenter, 1992). Development of conceptual understanding of multiplication is fostered when students recognise the equal group structure that is common in all multiplicative problems (Mulligan & Mitchelmore, 1996). This paper reports on the theoretical development of a transformative teaching experiment based on conjecture-driven research design (Confrey & Lachance, 1999) that aims to enhance Year 3 students’ conceptual understanding of multiplication. The teaching experiment employs children’s literature as a motivational catalyst and mediational tool for students to explore and engage in multiplication activities and dialogue. The SOLO taxonomy (Biggs & Collis, 1989) is used to both frame the novel teaching and learning activities, as well as assess the level of students’ conceptual understanding of multiplication as displayed in the products derived from the experiment. Further, student’s group interactions will be analysed in order to investigate the social processes that may contribute positively to learning

Using Bourdieu's Theoretical Framework to Examine How the Pharmacy Educator Views Pharmacy Knowledge

This article is an Open Access journal.Objective. To explore how different pharmacy educators view pharmacy knowledge within the United Kingdom MPharm program and to relate these findings to Pierre Bourdieu’s theoretical framework. Methods. Twelve qualitative interviews were conducted with 4 faculty members from 3 different types of schools of pharmacy in the United Kingdom: a newer school, an established teaching-based school, and an established research-intensive school. Selection was based on a representation of both science- based and practice-based disciplines, gender balance, and teaching experience. Results. The interview transcripts indicated how these members of the academic community describe knowledge. There was a polarization between science-based and practice-based educators in terms of Bourdieu’s description of field, species of capital, and habitus. Conclusion. A Bourdieusian perspective on the differences among faculty member responses supports our understanding of curriculum integration and offers some practical implications for the future development of pharmacy programs

Something for everyone? The different approaches of academic disciplines to Open Educational Resources and the effect on widening participation

This article explores the relationship between academic disciplines‘ representation in the United Kingdom Open University‘s (OU) OpenLearn open educational resources (OER) repository and in the OU‘s fee-paying curriculum. Becher‘s (1989) typology was used to subdivide the OpenLearn and OU fee-paying curriculum content into four disciplinary categories: Hard Pure (e.g., Science), Hard Applied (e.g., Technology), Soft Pure (e.g., Arts) and Soft Applied (e.g., Education). It was found that while Hard Pure and Hard Applied disciplines enjoy an increased share of the OER curriculum, Soft Applied disciplines are under-represented as OER. Possible reasons for this disparity are proposed and Becher‘s typology is adapted to be more appropriate to 21st-century higher education

Managing evolution and change in web-based teaching and learning environments

The state of the art in information technology and educational technologies is evolving constantly. Courses taught are subject to constant change from organisational and subject-specific reasons. Evolution and change affect educators and developers of computer-based teaching and learning environments alike – both often being unprepared to respond effectively. A large number of educational systems are designed and developed without change and evolution in mind. We will present our approach to the design and maintenance of these systems in rapidly evolving environments and illustrate the consequences of evolution and change for these systems and for the educators and developers responsible for their implementation and deployment. We discuss various factors of change, illustrated by a Web-based virtual course, with the objective of raising an awareness of this issue of evolution and change in computer-supported teaching and learning environments. This discussion leads towards the establishment of a development and management framework for teaching and learning systems