Preparing teachers for realistic mathematics education

A shift in mathematics education in the Netherlands towards the so-called realistic approach made it necessary to prepare prospective teachers for a type of curriculum different from what they experienced as pupils. This article describes the characteristics of a preservice programme aiming at this goal and presents an analysis of the development of the student teachers' views of mathematics and mathematics education during the programme as well as their classroom behaviour. This analysis is based on two research studies. The first was a longitudinal study in which the student teachers were followed during years by means of questionnaires and interviews. The second was a study in which graduates from this programme were compared with graduates from a more traditional preparation programme by means of two teacher questionnaires and a pupil questionnaire, the latter measuring the pupils' perceptions of the actual teaching behaviour of the graduates. The teacher education programme appeared to be successful in changing the student teachers' views of mathematics education, especially in the direction of a more inquiry oriented approach, and in promoting effective teacher behaviour in the classroom. As far as their facilitating role as a teacher is concerned, the student teachers seemed to go through a two-stage learning process. Most of them reached the first stage, in which they realize that pupils have different preferences for learning and that a variety of possible explanations for problems should be offered. However, only a small number of student teachers seem to reach the second stage, in which they recognize the principle of building on pupils' own constructions, an important feature of realistic mathematics education. Possible explanations for the low impact of the programme, as well as solutions are discussed.     

Business cycles and state governmental finances: Implications for higher education

The national economy has been increasingly subject to macroeconomic fluctuations in the 1970s. This paper demonstrates that these fluctuations have an important impact on state public finance. Tax revenues for these governments are directly related to the aggregate level of economic activity. However, the uncontrollability of such expenditure components as welfare, and the inflationary pressures in all program areas may increase expenditure levels in the face of declining revenue.Since public institutions of higher education rely heavily on financial support from state governments, the cyclical budgetary conditions of these governments have important implications for higher education. Historically, a financial crunch in higher education has resulted in most program areas being restricted to a similar extent, which reflects the fact that administrators have not adjusted expenditure levels to effectively deal with cyclical financial problems. This paper documents the severity of cyclical fluctuations in higher education finance and suggests ways to cope with these problems.     

“I Want to Feel That I Live in China”: Imaginaries and Hospitality in International Students’ (mis-)Encounters at a Top Chinese University

Research on international students’ experiences abroad has tended to rely on models of adjustment, integration and/or acculturation to describe their (mis-)encounters with different kinds of people (e.g., co-nationals, locals and other international students). This paper proposes to use the more fluid concepts of imaginaries and hospitality, leaving behind stages and phases of adaption and acculturation, and focusing on the influence of the Structure on their experiences. Based on a discursive pragmatic analysis of interview data with 20 international students at a top Chinese university, the authors review how the students describe the kind of hospitality experienced at this institution and the influence that it has on their (mis-)encounters. Culturalist, differentialist and essentialist imaginaries (static and fixed views of Chineseness) are often used to justify the lack of encounters and the “segregation” and somewhat “positive discrimination” that they experienced. However, the paper shows that, amongst others, the institutional hospitality management for international students leads to closed contexts of encounters and feelings of exclusion. Although the study serves as a case study and cannot be generalized to the many and varied experiences of international students in other universities in China, some recommendations are made to solve, at least in part, misconceptions about what interculturality and hospitality entail in the internationalization of higher education.     

Extending Cognitive Load Theory to Incorporate Working Memory Resource Depletion: Evidence from the Spacing Effect

Depletion of limited working memory resources may occur following extensive mental effort resulting in decreased performance compared to conditions requiring less extensive mental effort. This “depletion effect” can be incorporated into cognitive load theory that is concerned with using the properties of human cognitive architecture, especially working memory, when designing instruction. Two experiments were carried out on the spacing effect that occurs when learning that is spaced by temporal gaps between learning episodes is superior to identical, massed learning with no gaps between learning episodes. Using primary school students learning mathematics, it was found that students obtained lower scores on a working memory capacity test (Experiments 1 and 2) and higher ratings of cognitive load (Experiment 2) after massed than after spaced practice. The reduction in working memory capacity may be attributed to working memory resource depletion following the relatively prolonged mental effort associated with massed compared to spaced practice. An expansion of cognitive load theory to incorporate working memory resource depletion along with instructional design implications, including the spacing effect, is discussed.     

From PISA to national branding: exploring Finnish education®

Since the recent global paradigm shift in the governance of higher education toward business and marketing, internationally competitive education is increasingly considered as an asset for governments. Consequently, governments started to invest in education branding and marketing their educational systems. In Finland, national interest in education branding rose especially since the country's success in the programme for international student assessment studies created a positive reputation of its basic education. In this article, the authors investigate how this reputation is transformed into a general Finnish education brand, based upon Finland's official Country Brand Report (2010). The governmental discourse on Finnish education reveals a fusion of education and national branding, which is why the authors suggest to discuss the Finnish education brand as Finnish education®. The article provides an analysis of the elements constituting the brand and opens up a critical discussion on the ethics of branding education through cultural and national characteristics.     

Training chemistry students to ask research questions

In previous studies, science students have been trained to ask more and better questions through intensive instruction apart from the ongoing academic program. Cognitive strategies (such as questioning) are developed best, however, within the framework of an academic subject. In the current study, questioning skills were taught to high school chemistry students in the context of their laboratory experiments. Since both intellectual development and questioning skills are causally related to problem solving, the effect of intellectual development on the learning of questioning skills also was investigated. The Piagetian model of intellectual development was chosen for its demonstrated effects on many important aspects of science instruction. The number and quality of student research questions was measured by the Science Inquiry Assessment Instrument. The student's level of intellectual development was measured by the Classroom Test of Formal Operations. The twelve-week experimental treatment involved printed lessons which taught students to ask research questions in response to unanticipated observations in their regularly scheduled laboratory experiments. The pretest exaggerated the effect of this treatment. This effect, however, was significant among unpretested students, accounting for 14% of the post-test score variance. The level of intellectual development has no effect on these post-test scores. These important questioning skills can be acquired within the framework of the regularly scheduled classroom activities by high school chemistry students, irrespective of their level of Piagetian intellectual development.     

Science processes

During the past twenty years, research, curriculum development, and instruction in science education have been influenced by Gagne's conception of science processes. This article reports an investigation of the epistomologic foundations of this conception. The results indicate that a commitment to inductive empiricism pervades the presently held view of science processes. A major tenet of this commitment is that conceptual knowledge results from the application of science processes in understanding natural phenomena and solving problems. Criticism of the commitment in light of recent developments in the philosophy of science reveals that there is limited philosophical support for this view. The implication is that if science educators continue to use the presently held view of science processes, the conception needs to be reformulated. Otherwise, there is a clear danger that students will be presented an inaccurate and inadequate view of science processes. The alternative is to view the exact nature of science processes as being dependent upon the conceptual knowledge that is used to understand a particular phenomena or problem.     

Training self-regulated learning skills with video modeling examples: Do task-selection skills transfer?

Self-assessment and task-selection skills are crucial in self-regulated learning situations in which students can choose their own tasks. Prior research suggested that training with video modeling examples, in which another person (the model) demonstrates and explains the cyclical process of problem-solving task performance, self-assessment, and task-selection, is effective for improving adolescents’ problem-solving posttest performance after self-regulated learning. In these examples, the models used a specific task-selection algorithm in which perceived mental effort and self-assessed performance scores were combined to determine the complexity and support level of the next task, selected from a task database. In the present study we aimed to replicate prior findings and to investigate whether transfer of task-selection skills would be facilitated even more by a more general, heuristic task-selection training than the task-specific algorithm. Transfer of task-selection skills was assessed by having students select a new task in another domain for a fictitious peer student. Results showed that both heuristic and algorithmic training of self-assessment and task-selection skills improved problem-solving posttest performance after a self-regulated learning phase, as well as transfer of task-selection skills. Heuristic training was not more effective for transfer than algorithmic training. These findings show that example-based self-assessment and task-selection training can be an effective and relatively easy to implement method for improving students’ self-regulated learning outcomes. Importantly, our data suggest that the effect on task-selection skills may transfer beyond the trained tasks, although future research should establish whether this also applies when trained students perform novel tasks themselves.     

Nudging in education: from theory towards guidelines for successful implementation

European Journal of Psychology of Education - Nudging is one of the strategies from behavioral economics that aims to influence behavior by changing the environment. We propose that it could also...