Future directions and perspectives for problem solving research and curriculum development

Since the 1960s, numerous studies on problem solving have revealed the complexity of the domain and the difficulty in translating research findings into practice. The literature suggests that the impact of problem solving research on the mathematics curriculum has been limited. Furthermore, our accumulation of knowledge on the teaching of problem solving is lagging. In this first discussion paper we initially present a sketch of 50 years of research on mathematical problem solving. We then consider some factors that have held back problem solving research over the past decades and offer some directions for how we might advance the field. We stress the urgent need to take into account the nature of problem solving in various arenas of today’s world and to accordingly modernize our perspectives on the teaching and learning of problem solving and of mathematical content through problem solving. Substantive theory development is also long overdue—we show how new perspectives on the development of problem solving expertise can contribute to theory development in guiding the design of worthwhile learning activities. In particular, we explore a models and modeling perspective as an alternative to existing views on problem solving.

Methodologies for investigating relationships between concept development and the development of problem solving abilities

This paper is the second in a pair that Lesh, English, and Fennewald will be presenting at ICME TSG 19 on Problem Solving in Mathematics Education. The first paper describes three shortcomings of past research on mathematical problem solving. The first shortcoming can be seen in the fact that knowledge has not accumulated – in fact it has atrophied significantly during the past decade. Unsuccessful theories continue to be recycled and embellished. One reason for this is that researchers generally have failed to develop research tools needed to reliably observe, document, and assess the development of concepts and abilities that they claim to be important. The second shortcoming is that existing theories and research have failed to make it clear how concept development (or the development of basic skills) is related to the development of problem solving abilities – especially when attention is shifted beyond word problems found in school to the kind of problems found outside of school, where the requisite skills and even the questions to be asked might not be known in advance. The third shortcoming has to do with inherent weaknesses in observational studies and teaching experiments – and the assumption that a single grand theory should be able to describe all of the conceptual systems, instructional systems, and assessment systems that strongly molded and shaped by the same theoretical perspectives that are being used to develop them. Therefore, this paper will describe theoretical perspectives and methodological tools that are proving to be effective to combat the preceding kinds or shortcomings. We refer to our theoretical framework as models & modeling perspectives (MMP) on problem solving (Lesh & Doerr, 2003), learning, and teaching. One of the main methodologies of MMP is called multi-tier design studies (MTD).

Modeling as a bridge between real world problems and school mathematics

This article argues for an interdisciplinary approach to mathematical problem solving at the elementary school, one that draws upon the engineering domain. A modeling approach, using engineering model eliciting activities, might provide a rich source of meaningful situations that capitalize on and extend students’ existing mathematical learning. The study reports on the developments of 48 twelve-year old students who worked on the Bridge Design activity. Results revealed that young students, even before formal instruction, have the capacity to deal with complex interdisciplinary problems. A number of students created quite appropriate models by developing the necessary mathematical constructs to solve the problem. Students’ difficulties in mathematizing the problem, and in revising and documenting their models are presented and analysed, followed by a discussion on the appropriateness of a modeling approach as a means for introducing complex problems to elementary school students.

Towards an international approach for geography education

"Geography education is indispensable to the development of responsible and active citizens in the present and future world" is one of the main statements in the International Charter on Geographical Education. This charter was edited in 1992 by Haubrich, chair of the Commission on Geographical Education of the International Geographical Union (IGU). Twenty years later this statement is still true. Geography educators all over the world are looking for ways to talk with young people about their image of their world and to help them to develop their knowledge, skills and ideas about the complex world we live in. However, different ideas exist about what geography we should learn and teach and how. The Commission on Geographical Education of the International Geographical Union tries to help to improve the quality and position of geography education worldwide promoting the dissemination of good practices and research results in the field of geography education.

Interaction design for tablet based edutainment systems for mathematical education of primary student

Mathematics has been perceived as the core area of learning in most educational systems around the world including Sri Lanka. Unfortunately, it is clearly visible that a majority of Sri Lankan students are failing in their basic mathematics when the recent grade five scholarship examination and ordinary level exam marks are analysed. According to Department of Examinations Sri Lanka , on average, over 88 percent of the students are failing in the grade 5 scholarship examinations where mathematics plays a huge role while about 50 percent of the students fail in there ordinary level mathematics examination. Poor or lack of basic mathematics skills has been identified as the root cause.

Maltreated children in the early years : international perspectives on the teacher’s role

Child abuse and neglect is a significant health and social problem with serious consequences for children, families and communities. This chapter provides students, early childhood teachers, and administrators with an evidence base for understanding their role in relation to child abuse and neglect. The chapter draws from international and interdisciplinary research to address four key areas of responsibility: i) recognising signs of child abuse and neglect; ii) reporting child abuse and neglect; iii) supporting children in the classroom; and iv) teaching children to protect themselves (Watts, 1997).

The health of women and girls determines the health and well-being of our modern world : a white paper from the International Council on Women's Health Issues

The International Council on Women's Health Issues (ICOWHI) is an international nonprofit association dedicated to the goal of promoting health, health care, and well-being of women and girls throughout the world through participation, empowerment, advocacy, education, and research. We are a multidisciplinary network of women's health providers, planners, and advocates from all over the globe. We constitute an international professional and lay network of those committed to improving women and girl's health and quality of life. This document provides a description of our organization mission, vision, and commitment to improving the health and well-being of women and girls globally.

Innovation for Equity in Rural Education : Proceedings of the International Symposium for Innovation in Rural Education

PREFACE The concept of an international symposium on rural education arose from a meeting between members of the SiMERR National Centre, Australia and the NURI Teacher Education Innovation Centre (NURI-TEIC) at Kongju National University, Korea in 2007. Despite the very different national contexts, the teams were struck by the similarities of the challenges facing rural schools in the two countries, and curious about the degree to which these challenges were shared by other countries. At a subsequent meeting in Australia in December 2007, the two centre Directors - Professor John Pegg (SiMERR) and Professor Youn-Kee Im (NURI-TEIC) - agreed on a framework for the first International Symposium for Innovation in Rural Education (ISFIRE). This volume consists of the keynotes and refereed papers presented at ISFIRE 2009. The papers provide insights into rural education in Australia, Bhutan, Canada, Korea, Norway, South Africa and the United States along the following themes: 1. Promoting rural policy initiatives; 2. Nurturing the rural teacher experience; 3. Enhancing rural student experience and growth; 4. Optimising the curriculum; 5. Improving resources in rural schools; and 6. Addressing special issues in rural education. The authors and titles of a further 23 presentations based on refereed abstracts only are listed at the end of this volume. The abstracts for these presentations can be found in the symposium Program. The academics and practitioners who came together for this symposium are passionate about rural education and have dedicated their time and capacities to working for the benefit of rural teachers, students and communities. The papers in this volume offer direction not only for Australia and South Korea, who jointly hosted this symposium, but for all countries in which rural education is contested ground. The keynotes in particular contribute rich perspectives on rural education trends, policies and practices. We hope that this volume generates a greater appreciation of the advantages of rural education and the many innovative approaches being implemented to meet its challenges.

XV World Congress of Comparative Education Societies Buenos Aires, June 2013

This article reports on the organisation and main events of the 15th World Congress of the World Council of Comparative Education Societies (WCCES), held in Buenos Aires, Argentina, in 2013.

Positioning the nursing librarian on the wards: nursing grand rounds with a difference

The concept nursing grand rounds (NGR) has been reported in the nursing literature since the 1960s. Many of the reported initiatives are based on a presentation forum in the manner of medical grand rounds, as an approach to undergraduate education, or as a means to monitor patients. Among the points of difference in the design of the pilot project undertaken in a busy surgical ward to investigate the effectiveness of NGR in increasing nurses work satisfaction was the inclusion of the nursing librarian as an integral part of the NGR team and processes which previously has not reported in the literature. The nursing librarian’s role was to search the literature and find the best evidence on the predetermined patient topic prior to the NGR to enable the nurse presenting to integrate the research findings into the presentation of the patient. The nursing librarian attended each NGR and commented where appropriate on the level of evidence. Nurses discussed current practice and the impact the retrieved literature would have on patient care comparing best practice with current practice. Outcomes of this project include in some cases change in practice, change in culture where NGRs are now embedded into ward culture, NGR extended to other wards, enthusiasm for EBP, the initiation of a “super searcher” model where the nursing librarian is more of a consultant and develops the searching skills of nominated nurses who become the resource on the ward.