Analyzing and selecting tasks for mathematics teaching: a heuristic

In planning units and lessons every day, teachers face the problem of designing a sequence of activities to promote learning. In particular, they are expected to foster the development of learning goals in their students. Based on the idea of learning path of a task, we describe a heuristic procedure to enable teachers to characterize a learning goal in terms of its cognitive requirements and to analyze and select tasks based on this characterization. We then present an example of how a group of future teachers used this heuristic in a preservice teachers training course and discuss its contributions and constraints.

Towards Improving the Utilisation of University Teaching Space

There is a perception that teaching space in universities is a rather scarce resource. However, some studies have revealed that in many institutions it is actually chronically under-used. Often, rooms are occupied only half the time, and even when in use they are often only half full. This is usually measured by the ‘utilization’ which is defined as the percentage of available ‘seat-hours’ that are employed. Within real institutions, studies have shown that this utilization can often take values as low as 20–40%. One consequence of such a low level of utilization is that space managers are under pressure to make more efficient use of the available teaching space. However, better management is hampered because there does not appear to be a good understanding within space management (near-term planning) of why this happens. This is accompanied, within space planning (long-term planning) by a lack of experise on how best to accommodate the expected low utilizations. This motivates our two main goals: (i) To understand the factors that drive down utilizations, (ii) To set up methods to provide better space planning. Here, we provide quantitative evidence that constraints arising from timetabling and location requirements easily have the potential to explain the low utilizations seen in reality. Furthermore, on considering the decision question ‘Can this given set of courses all be allocated in the available teaching space?’ we find that the answer depends on the associated utilization in a way that exhibits threshold behaviour: There is a sharp division between regions in which the answer is ‘almost always yes’ and those of ‘almost always no’. Through analysis and understanding of the space of potential solutions, our work suggests that better use of space within universities will come about through an understanding of the effects of timetabling constraints and when it is statistically likely that it will be possible for a set of courses to be allocated to a particular space. The results presented here provide a firm foundation for university managers to take decisions on how space should be managed and planned for more effectively. Our multi-criteria approach and new methodology together provide new insight into the interaction between the course timetabling problem and the crucial issue of space planning.

Competence in research planning in the fourth level of Spanish Secondary Education: a case study

In the last years, “Inquiry-Based Science Education” methodologies (IBSE) are being recommended by European institutions in order to improve the competence levels and the attitudes towards science of primary and secondary school students. Therefore, the aim of this study is to test the effectiveness of an IBSE methodology, the Methodology of Problem Solving as an Investigation (MPSI), for the teaching-learning process of planning of experiments in the fourth level of Spanish Secondary Education. By means of the students’ solutions for a series of open problems, the progress in the learning of the competences related to the planning of experiments has been analyzed, along with the influence of the methodology on the development of these competencies. The results show a students’ command from higher to lower levels on: emission of hypothesis, design of the experiment, qualitative analysis, identification of variables and reformulation of the open problem. Furthermore, the Methodology has contributed to an improvement of the scientific competence in the area of planning experiments.

Improving the utilisation of University teaching space

There is a perception that teaching space in universities is a rather scarce resource. However, some studies have revealed that in many institutions it is actually chronically under-used. Often, rooms are occupied only half the time, and even when in use they are often only half full. This is usually measured by the “utilisation” which is basically the percentage of available ’seat-hours’ that are employed. In real institutions, this utilisation can often takes values as low as 20-40%. One consequence of such low utilisation is that space managers are under pressure to make a more efficient use of the available teaching space. However, better management is hampered because there does not appear to be a good understanding within space management (near-term planning) of why this happens. Nor, a good basis within space planning (long-term planning) of how best to accommodate the expected low utilisations. This motivates our two main goals: (i) To understand the factors that drive down utilisations, (ii) To set up methods to provide better space planning. Here, we provide quantitative evidence that constraints arising from timetabling and location requirements easily have the potential to explain the low utilisations seen in reality. Furthermore, on considering the decision question “Can this given set of courses all be allocated in the available teaching space?” we find that the answer depends on the associated utilisation in a way that exhibits threshold behaviour: There is a sharp division between regions in which the answer is “almost always yes” and those of “almost always no”. Our work suggests that progress in space management and planning will arise from an integrated approach; combining purely space issues with restrictions representing an aggregated or abstracted version of key constraints such as timetabling or location, and

University space planning and space-type profiles

Universities planning the provision of space for their teaching requirements need to do so in a fashion that reduces capital and maintenance costs whilst still providing a high-quality level of service. Space plans should aim to provide sufficient capacity without incurring excessive costs due to over-capacity. A simple measure used to estimate over-provision is utilisation. Essentially, the utilisation is the fraction of seats that are used in practice, or the ratio of demand to supply. However, studies usually find that utilisation is low, often only 20–40%, and this is suggestive of significant over-capacity.

Our previous work has provided methods to improve such space planning. They identify a critical level of utilisation as the highest level that can be achieved whilst still reliably satisfying the demand for places to allocate teaching events. In this paper, we extend this body of work to incorporate the notions of event-types and space-types. Teaching events have multiple ‘event-types’, such as lecture, tutorial, workshop, etc., and there are generally corresponding space-types. Matching the type of an event to a room of a corresponding space-type is generally desirable. However, realistically, allocation happens in a mixed space-type environment where teaching events of a given type are allocated to rooms of another space-type; e.g., tutorials will borrow lecture theatres or workshop rooms.

We propose a model and methodology to quantify the effects of space-type mixing and establish methods to search for better space-type profiles; where the term “space-type profile” refers to the relative numbers of each type of space. We give evidence that these methods have the potential to improve utilisation levels. Hence, the contribution of this paper is twofold. Firstly, we present informative studies of the effects of space-type mixing on utilisation, and critical utilisations. Secondly, we present straightforward though novel methods to determine better space-type profiles, and give an example in which the resulting profiles are indeed significantly improved.

Teachers' perceptions of effects of terminal examinations on teaching and learning at the secondary school level in Zimbabwe

This study was particularly aimed at the examinations and the effect they have on schooling at the secondary school level in Zimbabwe. The views and opinions of teachers on the use of terminal examinations for certification and the influence they are seen to have on teachers' approach to the curriculum were examined. The literature has shown that there is widespread criticism of the justice and effects of terminal examinations. It is argued that they lead to an over-emphasis of that which is measured, knowledge and intellectual ability, at the expense of that kind of education progress which is almost impossible to measure in an end-of-the-course assessment. Three hundred and six secondary school teachers responded to a survey which asked for teachers' perceptions of examinations and the curriculum. The findings of this study indicated that teaching is structured towards examinations. Although teachers are trying to teach and develop reasoning skills and other activities, the pressure of examinations and the importance of doing well in them force teachers to restrict themselves to examination requirements.

Teaching Reading to ESL Adult Literacy Learners: The Development of an Instructor’s Handbook

The purpose of this project was to develop an instructors’ handbook that provides the declarative, procedural, and conditional knowledge associated with the interactive instructional approach, differentiated instruction, and the gradual release of responsibility framework for teaching reading to English as a second language adult literacy learners. The need for this handbook was determined by conducting a critical analysis of existing handbooks and concluding that no handbook completely addressed the 3 types of knowledge for the 3 instructional processes. A literature review was conducted to examine the nature, use, and effectiveness of the 3 instructional processes when teaching reading to ESL adult literacy learners. The literature review also examined teachers’ preferences for reading research and found that texts that were relevant, practical, and accessible were favoured. Hence, these 3 elements were incorporated as part of the handbook design. Three peer reviewers completed a 35-item 5-point Likert scale evaluation form that also included 5 open-ended questions. Their feedback about the handbook’s relevancy, practicality, accessibility, and face validity were incorporated into the final version of the handbook presented here. Reference to the handbook by ESL adult literacy instructors has the potential to support evidence-informed lesson planning which can support the ESL adult literacy learners in achieving their goals and contributing to their societies in multiple and meaningful ways.

Innovating in Teaching Collaborative Practice with a Large Student Cohort at Université de Montréal

Université de Montréal implemented an interprofessional education (IPE) curriculum on collaborative practice in a large cohort of students (>1,100) from 10 health sciences and psychosocial sciences training programs. It is made up of three one-credit undergraduate courses (CSS1900, CSS2900, CSS3900) spanning the first 3 years of training. The course content and activities aim for development of the six competency domains identified by the Canadian Interprofessional Health Collaborative. This paper describes the IPE curriculum and highlights the features contributing to its success and originality. Among main success key factors were: administrative cooperation among participating faculties, educators eager to develop innovative approaches, extensive use of clinical situations conducive to knowledge and skill application, strong logistic support, close cooperation with health care delivery organizations, and partnership between clinicians and patients. A distinguishing feature of this IPE curriculum is the concept of partnership in care between the patient and caregivers. Patients’ representatives were involved in course planning, and patients were trained to become patients-as-trainers (PT) and cofacilitate interprofessional discussion workshops. They give feed- back to students regarding integration and application of the patient partnership concept from a patient’s point of view. Lire l'article/Read the article : http://openurl.ingenta.com/content?genre=article&issn=0090-7421&volume=42&issue=4&spage=97E&epage=106E

The use of a language eliciting procedure as a tool in the establishment of teaching goals

This paper reviews a study to examine the feasibility of using elicited language samples as a basis for planning language instruction and as a measure of progress in language development.

Interdisciplinarity in teaching: probing urban studies

This article arises from a research project funded by the Subject Centre for Sociology, Anthropology and Politics and a literature review on ‘interdisciplinarity’ commissioned by the Subject Centre for Languages, Linguistics and Area Studies (Chettiparamb, 2007). It attempts to unpack how disciplinarity and interdisciplinarity are created through pedagogy in higher education at the module level while teaching an interdisciplinary subject such as ‘urban studies’. In particular, comparisons are made between the teaching aims and methods in two disciplines: planning and sociology. Comparisons are also made between the approach of two types of universities – a pre-1992 university and a post-1992 university. The article argues that the differences between the universities are more profound than the differences between the disciplines. The research reveals two key findings. In the pre-1992 university case study, even though the ‘contributing’ subject domains of the disciplines are similar, the disciplinary identities are maintained and accomplished in subtle ways. In contrast, in the post-1992 university, disciplinary boundaries are not so purposefully maintained, resulting in the realisation of a different construction of interdisciplinarity.

Measuring the value of “all play and no work”: can rigorous assessment of simulation games drive innovative teaching in construction?

The construction field is dynamic and dominated by complex, ill-defined problems for which myriad possible solutions exist. Teaching students to solve construction-related problems requires an understanding of the nature of these complex problems as well as the implementation of effective instructional strategies to address them. Traditional approaches to teaching construction planning and management have long been criticized for presenting students primarily with well-defined problems - an approach inconsistent with the challenges encountered in the industry. However, growing evidence suggests that employing innovative teaching approaches, such as interactive simulation games, offers more active, hands-on and problem-based learning opportunities for students to synthesize and test acquired knowledge more closely aligned with real-life construction scenarios. Simulation games have demonstrated educational value in increasing student problem solving skills and motivation through critical attributes such as interaction and feedback-supported active learning. Nevertheless, broad acceptance of simulation games in construction engineering education remains limited. While recognizing benefits, research focused on the role of simulation games in educational settings lacks a unified approach to developing, implementing and evaluating these games. To address this gap, this paper provides an overview of the challenges associated with evaluating the effectiveness of simulation games in construction education that still impede their wide adoption. An overview of the current status, as well as the results from recently implemented Virtual Construction Simulator (VCS) game at Penn State provide lessons learned, and are intended to guide future efforts in developing interactive simulation games to reach their full potential.

Planning for development or decline? Education policy for Chinese language in Singapore

This article examines how political discourse, language ideologies, recent Chinese curriculum reforms, and their representations in the media are inextricably related. Using the Speak Mandarin Campaign as background for the inquiry, I focus on textual features of the various media sources, TV advertisements, campaign slogans, official speeches, and newspaper excerpts to illuminate the status and changing role of the Chinese language in Singapore’s sociocultural, economic, and political development. Using critical discourse analysis as an analytical framework, I examine the contradictory ideologies that underpin the government’s language policies and planning activities. On the one hand, the government emphasizes the cultural and economic values of the Chinese language; on the other hand, government schools teach Chinese as a subject. In particular, the recent reforms in Chinese language curriculum have arguably further diluted the content of teaching. In addition I point out how conflicting ideologies behind language policies can lead to cultural confusion and educational uncertainty. These mixed messages make it difficult for schools to offer a consistent language education curriculum that will help students appreciate the value, be it economic, cultural or educational, of the Chinese language.

Children's preconceptions of science: how these can be used in teaching

This paper focuses on young children’s initial ideas about science prior to any teaching and discusses teachers’ identification of these ‘preconceptions’ when teaching science in the early years. The research focuses on early years teaching in public and private kindergartens with children from three to five. The area of the children’s preconceptions has been extensively investigated by other researchers in the past. However, research focusing on children’s preconceptions and how teachers work with these in the early years is still limited in comparison, especially within Cypriot context. A case study was employed which facilitated in-depth investigation employing different methods of data collection including interviews and observations. The results indicate that teachers tend to avoid identification of the children’s preconceptions when planning and teaching science. This suggests a lack of appreciation of the children’s preconceptions and the consequences when they are not acknowledged. To help teachers respond to the children’s preconceptions, this paper provides a number of suggestion on how to identify children’s preconceptions.