Mathematics education as a ‘design science’

Mathematics education (didactics of mathematics) cannot grow without close relationships to mathematics, psychology, pedagogy and other areas. However, there is the risk that by adopting standards, methods and research contexts from other well-established disciplines, the applied nature of mathematics education may be undermined. In order to preserve the specific status and the relative autonomy of mathematics education, the suggestion to conceive of mathematics education as a design science is made.Revised and extended version of the paper Mathematikdidaktik als design science, published inJournal für Mathematikdidaktik 13 (1992), 55–70. I am indebted to Jerry P. Becker, P. Bender, H. Besuden, W. Blum, E. Cohors-Fresenborg, Th.J. Cooney, L. Führer, H.N. Jahnke, A. Kirsch, G.N. Müller, H._Chr. Reichel, H. Schupp, Ch. Selter, H.-J. Vollrath, J. Voigt, G. Walther and H. Winter for critical remarks to earlier drafts.     

Biopolitics and the ‘subject’ of labor in science education

Viewing science education as a site of biopolitical engagement—intervention into forces that seek to define, control, and exploit life (biopower)—requires that science educators ask after how individuals and populations are governed by technologies of power. In this paper, I argue that microanalyses, the analysis of everyday practices and discourses, are integral to biopolitical engagement, are needed to examine practices that constitute subjectivities and maintain oppressive social conditions. As an example of a microanalysis I will discuss how repetitive close-ended lab/assessment tasks, as well as discourses surrounding careers in science, can work to constitute students as depoliticized, self-investing subjects of human capital. I also explore the relationship between science education, (bio)labor and its relation to biopolitics, which remains an underdeveloped area of science education. This paper, part of my doctoral work, began to take shape in 2011, shortly after the 2008 economic crisis achieved a tiny breached in the thick neoliberal stupor of everyday (educational) life.     

When Bible and science interact: teachers’ pedagogic and value challenges in teaching religious minority students in higher education settings

The integration of highly religious minority students into institutions of higher education poses significant pedagogical and value challenges for students and teachers alike. We offer a framework for analyzing such challenges, distinguishing between practical concerns, identity issues and value conflicts. By contrasting a deficit perspective to ‘Diversity as resource’, we argue that the latter enables teachers to utilize a collaborative knowledge model in class, surmounting some of the value challenges involved. We present the case of ultra-orthodox students in Israel who have recently entered the gates of higher education for the first time in this society's history. We analyze the narratives of 30 lecturers who teach this population. Most of them adopt a deficit perspective and see their role as academic gatekeepers, minimally adjusting content and pedagogy. A smaller group fosters cross-cultural dialog via a ‘Diversity as resource’ perspective. These findings lead to recommendations for successfully teaching highly religious students.     

Teachers’ professional identity in super-diverse school settings: teachers as agents of intercultural education

ABSTRACT

This research study focuses on the ways in which teachers’ professional identity is being shaped and influenced in ‘super-diverse’ school settings. For the purposes of this research, we used the Cyprus educational system as our case study to investigate how teachers experience the enactment of intercultural education at the school level. To this end, 20 interviews were carried out along with 11 female and 9 male teachers of 10 primary schools, which presented diverse profiles of their student populations. Research data revealed that teachers’ professional identity and its underpinning constructs such as emotions, job satisfaction, professional commitment, autonomy and confidence were constantly challenged and negotiated within the changing educational setting. Contextual and professional factors such as work intensification, lack of training and resources, lack of respect and negligence of teachers’ previous experiences, ideologies, values and beliefs were found to affect teachers’ identity and consequently intercultural policy enactment. Therefore, the case is made that the complexity of professional identity needs to be taken into account by policymakers because teachers are the ones who embrace, reinterpret and develop the curriculum. The way and degree to which teachers understand, adjust, perceive and enact on educational policies are affected by the extent to which these policies interact with and challenge existing identities.     

Student‐teachers’ conceptions of science,teaching and learning: a case study in preservice science education

The resort to experiment is considered to be essential for teaching physics. But it often consists of an inductivist method where students are supposed to be able to find physical laws by observing phenomena. In fact it is not as easy for the students as it is for the physicist. We propose and test another way. When studying a new phenomenon, an initial discussion is performed between students in the class. They can propose various (eventually contradictory) explanatory models. Experiments are then used to make a choice between these models. Sequences in class situation are described, with learning behaviour and results reported for pupils in French schools (grades 6 and 8, 11‐14‐year olds).     

The pedagogy of argumentation in science education: science teachers’ instructional practices

ABSTRACT

Argumentation has been a prominent concern in science education research and a common goal in science curriculum in many countries over the past decade. With reference to this goal, policy documents burden responsibilities on science teachers, such as involving students in dialogues and being guides in students’ spoken or written argumentation. Consequently, teachers’ pedagogical practices regarding argumentation gain importance due to their impact on how they incorporate this practice into their classrooms. In this study, therefore, we investigated the instructional strategies adopted by science teachers for their argumentation-based science teaching. Participants were one elementary science teacher, two chemistry teachers, and four graduate students, who have a background in science education. The study took place during a graduate course, which was aimed at developing science teachers’ theory and pedagogy of argumentation. Data sources included the participants’ video-recorded classroom practices, audio-recorded reflections, post-interviews, and participants’ written materials. The findings revealed three typologies of instructional strategies towards argumentation. They are named as Basic Instructional Strategies for Argumentation, Meta-level Instructional ?St??rategies for ?Argumentation, and Meta-strategic Instructional ?St??rategies for ?Argumentation. In conclusion, the study provided a detailed coding framework for the exploration of science teachers’ instructional practices while they are implementing argumentation-based lessons.     

The ‘art’ of creative teaching: implications for higher education

Richard Florida's The rise of the creative class (2002) delivered a strong wake-up call to higher education institutions worldwide. By linking creativity to technological innovation and economic prosperity, Florida argued that universities and colleges should nurture creativity in their students. But for many years, the higher education enterprise has been criticised for dampening creativity rather than fostering it. This paper explores the subversive nature of creativity, the value of creative teaching and proposes a number of strategies higher education should consider if they hope to graduate the future leaders of twenty-first century society.     

Management as ideology: the case of ‘new managerialism’ in higher education

The paper explores ideological conceptions of management, especially ‘new managerialism’, with particular reference to their role in the reform of higher education. It is suggested that attempts to reform public services in general are political as well as technical, though there is no single unitary ideology of ‘new managerialism’. Whilst some argue that managers have become a class and have particular interests, this may not be so for all public services. The arguments presented are illustrated by data taken from a recent research project on the management of UK higher education. It is suggested that managers in public service organisations such as universities do not constitute a class. However, as in the case of manager‐academics, managing a contemporary public service such as higher education may involve taking on the ideologies and values of ‘new managerialism’, and for some, embracing these. So management ideologies do seem to serve the interests of manager‐academics and help cement relations of power and dominance, even in contexts like universities which were not traditionally associated with the dominance of management.     

‘Observation has set in’: comparing students and peers as reviewers of teaching

Peer review is a powerful method to enhance teaching in higher education. Peers, however, may not be the most relevant people in evaluating teaching success; as the most important stakeholders in learning, students’ evaluations need to be heard. Whilst some efforts to capture ‘the student voice’ are simplistic and may foster consumerist approaches, adopting ‘radical collegiality’ towards students may provide the benefits of peer review whilst avoiding some of its disadvantages. Here we describe the Students as Colleagues project, which trained student volunteers as evaluators of teaching. To assess the ability of students to provide useful reviews, we compared their evaluative feedback with that from academic peers, using a paired design and qualitative and quantitative data. Students gave significantly more positive comments, and just as many negative and directive comments, as academic peers. Student colleagues emphasised the positive personal (rather than professional) capacities of their reviewees, encouraged expressed vulnerability and drew on their broad experiences as students rather than from professional perspectives. Participation changed how students saw their abilities and helped ‘humanise’ both the reviewees and the university as a whole. Our results and standpoint theory suggest that students’ evaluative feedback is the most valuable perspective to inform teaching enhancement.     

‘Maintaining competence’: a grounded theory typology of approaches to teaching in higher education

This paper presents a contingency theory of approaches to teaching in Higher Education adopted by university academics who teach heterogeneous student cohorts within a changing university context. The study is located within the substantive context of academics within Australian universities who teach within the broad field of management studies. Orthodox grounded theory is employed to generate a contingency typology comprised of four separate teaching approaches: Distancing, Adapting, Clarifying, and Relating. The model demonstrates how academics utilise a variety of teaching approaches to address their ‘main concern’, namely maintaining their professional competence within the context of a rapidly changing university landscape and significantly heterogeneous groups of students. We have labelled this process ‘Maintaining Competence’. This model stresses the importance of the twin forces of structure and individual agency in determining teaching approaches. It emphasises the value of analysing what academics actually do in the classroom situation, rather than concentrating on normative assumptions of what they should do in terms of best practice.     

The ‘myth of greater access’ in agrarian LDC education and science education: An alternative conceptual framework

This paper departs from the position that the ad hoc increase in access to post-elementary formal education in agrarian LDCs is a demonstrably misguided development strategy. With special reference to the Basic Needs paradigm and the mass informal economy of agrarian developing societies, stages of formal schooling are discussed as development sectors. A planning approach is advocated that stresses the need to constantly monitor the education/economy interface, alongside an associated research agenda focusing on the relationship between internal and external efficiency. This conceptual framework is finally applied to science education as a development sector in its own right.     

The ‘Historical-investigative’ approach to teaching science

The paper describes the author's experience in using the history of science in teaching physics to science teachers. It was found that history becomes more useful to teachers when explicitly combined with investigative experimentation, which, in turn, can benefit from various uses of the history of science.     

‘Fathers and sons’ in Xenophon’s teaching of the man taking care of himself

This article considers the oeuvre of Xenophon (c.430–354 bc) as providing an insight into the concept of ‘care of the self’ in Greek education. In many of his works the leading characters are men who take care of themselves through education. Addressing the theme of ‘fathers and sons’, Xenophon aimed to show that ‘care of the self’ is a particular way of upbringing in the family and in the polis, where the older instruct the younger in fulfilling their duties according to their age, following model examples of thought and conduct during work and leisure. Thus, with the help of specific situations involving parents and children, mentors and their pupils, Xenophon established a general framework for understanding the ancient citizens and family men, to whom education and self-education were a special means of finding their own identity in their culture.     

Disciplinary regimes of ‘care’ and complementary alternative education

In schools, the notion of ‘care is often synonymous with welfare and disciplinary regimes. Drawing on Foucault, and a study of alternative education (AE) across the UK, and looking in depth at two cases of complementary AE, we identify three types of disciplinary regimes at work in schools: (1) dominant performative reward and punishment, (2) team-building and (3) therapeutic. We argue that while all three regimes aim to steer identified students back to the norm, the two complementary approaches that we saw avoided the narrow instrumental behaviourist approaches of the dominant pattern. In so doing, they also opened up wider horizons of possibility and ways to be and become.     

Changing times in the classroom: teaching as a ‘crowded profession’

Abstract

This article reports on a study of teachers in New South Wales (Australia) and their practices surrounding outcomes assessment and reporting, which took place in 2003 and 2004 as a follow-up to a major study in 1995. The study explored whether the main focus of a teacher's work involves planning, teaching, assessing, rewarding and sharing in their classroom and with colleagues, and whether this focus suffered many distractions in the flurry of reforms of the past decade. One example of ‘changing times’ in the classroom has been the devolution of school management, which caused a number of diversions of energy and time away from teaching and learning. Yet even in the area of curriculum schools were struggling with a range of issues, many brought on by the advent of outcomes-based curricula. In seeking to change what happens in schools, teachers argued that they needed clear and well-argued reasons to change. This article thus provides an update on the relevant research, beginning with national and international experiences, before a discussion of workload, the place of parents and school organizational effects. One finding is that alongside a ‘crowded curriculum’, teaching has become a ‘crowded profession’. The article concludes with reflections on how changing times in the classroom mean social reform as well as educational reform, in which teaching and learning shape effects and consequences from educational events so that knowledge grows through experiences, measuring possibilities not outcomes.     

‘I Knew Jean-Paul Sartre’: Philosophy of education as comedy

Abstract

Ludwig Wittgenstein suggests that ‘A serious and good philosophical work could be written consisting entirely of jokes’. The idea for this dialogue comes from a conversation that Michael Peters and Morwenna Griffiths had at the Philosophy of Education of Great Britain annual meeting at the University of Oxford, 2011. It was sparked by an account of an assessment of a piece of work where one of the external examiners unexpectedly exclaimed ‘I knew Jean-Paul Sartre’, trying to trump the discussion. This conversation is a dialogue about comedy and humor as a basis for philosophy, education and pedagogy that provides an introduction to recent works and a context for ongoing research. The concluding section provides further reflection on some of the main themes, drawing attention to the significance of humor in dialogues within philosophy and education, and suggesting that it has a particular role in resisting managerialism at all levels of educational institutions.