An examination of the roles of the teacher and students during a problem-based learning intervention: lessons learned from a study in a Taiwanese primary mathematics classroom

The benefits of problem-based learning (PBL) to student learning have prompted researchers to investigate this pedagogical approach over the past few decades. However, little research has examined how PBL can be applied to mathematics learning and teaching, especially in countries like Taiwan, where the majority of teachers are accustomed to lecture methods and students are used to this style of teaching. This study examines the actions of a teacher and her class of 35 fifth-grade students (10–11-year-olds) as they tried to take on and respond to the demands of their new roles as “facilitator” and “constructors”, respectively, during a one-year PBL intervention in a Taiwanese mathematics classroom. Our findings provide insights into classroom participants’ role transition, from a customary role to a new role, when engaging with PBL. We identify an interrelationship between the teacher and student roles and discuss implications for the implementation of PBL at the primary education level.     

Jugendliche zwischen Entwicklung und Entfaltung

Der Beitrag thematisiert jugendliche Orientierungsmuster zur Ausgestaltung der Lebensphase Jugend und deren Ver?nderung über die Zeit. Diese entstehen im komplexen Zusammenhang von wahrgenommenen Ressourcen, Einstellungen und Erwartungen Jugendlicher im Hinblick auf die Anforderung der Bew?ltigung von Entwicklungsaufgaben. Zur Abbildung dieser Muster wird auf zwei zentrale Dimensionen zurückgegriffen: auf Entfaltungsorientierung, die den Moratoriumsgedanken, und Entwicklungsorientierung, die den transitiven Charakter der Jugendphase widerspiegelt. Aus der Kombination der Orientierungen Entwicklung und Entfaltung im Anschluss an die Verknüpfung des Transitions-und Moratoriumsgedankens lassen sich vier Typen ableiten. Die Zugeh?rigkeit zu einem Typ ist nicht als statisch zu fassen, sondern ver?ndert sich entsprechend der zunehmenden Bew?ltigung von Entwicklungsaufgaben. Die Ergebnisse veranschaulichen die weitreichende Bedeutung beruflicher Orientierungen Jugendlicher im Zusammenhang mit dem bevorstehenden übergang in den Beruf, die gleichsam Auswirkungen für den gesamten Komplex jugendlicher Orientierungsmuster (Typen) zur Gestaltung der Jugendphase zeitigen.     

The Role of Metaphor in Scientific Epistemology: A Constructivist Perspective and Consequences for Science Education

I examine the role played by metaphor, in supporting andconditioning our thinking about theoretical models of learning in science education.Some examples are given, of cases where the use of inappropriate metaphors can actually counteract a properunderstanding of the topic being learnt. With special reference to von Glasersfeld's theory of radicalconstructivism, it is argued that much of the controversy appearing in the academic discussion of this theorystems from the injudicious use of metaphors of ``truth' and ``reality', concepts that are in a sense inheritedfrom the domain of Law. These metaphors are often taken too literally, as representing ``obvious' and henceindisputable constraints on scientific investigation; and they then strongly favour the adoption of an epistemologyof scientific realism, which is at variance with the theory of knowledge that is proposed by radical constructivism.However, it is argued that this realist epistemology is not compelling, since it rests on a somewhat contentiousmetaphoric base, and that a radical-constructivist epistemology offers a better strategy for the purposesof science education.     

Value orientations and motivational interference in school-leisure conflict: The case of Vietnam

The experience of motivational interference during studying and leisure in a school-leisure conflict and its relationship to pupils' value orientations were investigated in a self-report study of Vietnamese pupils (N = 346, mean age = 15 years). The results were compared with a combined sample consisting of pupils from nine other countries (N = 2155). From a cross-cultural perspective, the mean values of the variables show that Vietnamese pupils differ with regard to their values and motivational interference from pupils in other countries. Within the Vietnamese sample, modern value orientation was positively related to decision for a studying activity in a school-leisure conflict and to experience of motivational interference during a leisure activity and negatively related to interference during studying. For post-modern value orientation, the relationships were mostly reversed. Despite differences between sample means, the consistency in the relationships between the variables across the samples indicates that the pattern of relationships can be generalized.     

Critical materials: a reason for sustainable education of industrial designers and engineers

Developed economies have become highly dependent on a range of technology metals with names such as neodymium and terbium. Stakeholders have warned of the impending scarcity of these critical materials. Difficulties in materials supply can affect the high-tech industries as well as the success of sustainable innovation strategies that are based on sophisticated technology. Industrial designers and engineers should therefore increase their awareness of the limits in availability of critical materials. In this paper, it is argued that materials’ criticality can give a fresh impetus to the higher education of industrial design engineers. It is important to train future professionals to apply a systems perspective to the process of technology innovation, enabling them to thrive under circumstances of constrained material choices. The conclusions outline ideas on how to weave the topic into existing educational programmes of future technology developers.     

Predicting Students’ Skills in the Context of Scientific Inquiry with Cognitive,Motivational, and Sociodemographic Variables

Research on predictors of achievement in science is often targeted on more traditional content-based assessments and single student characteristics. At the same time, the development of skills in the field of scientific inquiry constitutes a focal point of interest for science education. Against this background, the purpose of this study was to investigate to which extent multiple student characteristics contribute to skills of scientific inquiry. Based on a theoretical framework describing nine epistemological acts, we constructed and administered a multiple-choice test that assesses these skills in lower and upper secondary school level (n?=?780). The test items contained problem-solving situations that occur during chemical investigations in school and had to be solved by choosing an appropriate inquiry procedure. We collected further data on 12 cognitive, motivational, and sociodemographic variables such as conceptual knowledge, enjoyment of chemistry, or language spoken at home. Plausible values were drawn to quantify students’ inquiry skills. The results show that students’ characteristics predict their inquiry skills to a large extent (55%), whereas 9 out of 12 variables contribute significantly on a multivariate level. The influence of sociodemographic traits such as gender or the social background becomes non-significant after controlling for cognitive and motivational variables. Furthermore, the performance advance of students from upper secondary school level can be explained by controlling for cognitive covariates. We discuss our findings with regard to curricular aspects and raise the question whether the inquiry skills can be considered as an autonomous trait in science education research.     

Analyzing effective communication in mathematics group work: The role of visual mediators and technical terms

Analyzing and designing productive group work and effective communication constitute ongoing research interests in mathematics education. In this article we contribute to this research by using and developing a newly introduced analytical approach for examining effective communication within group work in mathematics education. By using data from 12 to 13-year old students playing a dice game as well as from a group of university students working with a proof by induction, the article shows how the link between visual mediators and technical terms is crucial in students’ attempts to communicate effectively. The critical evaluation of visual mediators and technical terms, and of links between them, is useful for researchers interested in analyzing effective communication and designing environments providing opportunities for students to learn mathematics.