Students’ conception of infinite series

This is a report of a study of students’ understanding of infinite series. It has a three-fold purpose: to show that students may construct two essentially different notions of infinite series, to show that one of the constructions is particularly difficult for students, and to examine the way in which these two different constructions may be built so that we may uncover ways to help students improve their understanding. The theoretical framework consists of action–process–object–schema theory and the specific model of conceptions in Balacheff’s theory of conception, knowing, and concept. Approaching the problem from these two different theoretical perspectives allows us to provide different and at the same time complementary explanations of observed phenomena. The two different infinite series constructions are, briefly stated, series as an infinite unending process of addition and series as a sequence of partial sums. Students are found to have difficulty building an understanding of series as a sequence of partial sums and thus tend to have difficulty in problem situations that require this interpretation. The study uses semi-structured interviews with 10 graduate students. The interviews explore situations that might give insight into students’ notion of the sequence of partial sums.     

A Cross-Cultural Analysis of Organizational Dissent and Workplace Freedom in Five European Economies

Individuals in five European countries—Finland, France, Germany, Spain, and the United Kingdom (n = 1184)—completed a survey exploring the relationship between organizational dissent and workplace freedom of speech. Results revealed workplace freedom of speech is positively correlated with dissent among the entire sample in France and in Germany. Results in Spain were nonsignificant. In the United Kingdom, there was a negative relationship between workplace freedom of speech and dissent. There was a negative relationship between workplace freedom of speech and articulated dissent and a positive relationship with latent dissent in Finland. Moreover, MANCOVA testing showed nationality to have a significant effect on organizational dissent and workplace freedom of speech. Germans scored the highest on dissent and workplace freedom with Spain scoring the lowest.     

Scenario planning in public libraries: a discussion

The authors explore the use of scenario planning in public libraries via a Q&A discussion. They discuss the impact of unexpected events and unwelcome trends on libraries’ future, explain the distinction between scenario work and forecasting, and outline a practical approach to devising and delivering scenario planning activities at a local library level. This discussion, which took place at Oxford University’s Said Business School on 23 August 2018, explores the use of scenario planning in public libraries.     

Integrating Video Documentary Into the Classroom: A Community Assessment Assignment

Community assessment is a strategy commonly taught to social work students to identify a community’s strengths and challenges. This article describes the value of using video documentary as part of a community assessment assignment. We identify the advantages of using video documentary in the assessment process and the reporting of findings. We discuss the preproduction, production, and postproduction steps necessary to produce a video documentary and illustrate how such assignments can be incorporated into a social work course. We conclude by identifying the educational benefits accrued to students.     

The assessment of severely intellectually disabled students

In 1995 it became mandatory to establish individual educational plans (IEPs) for children with special educational needs in the Swedish compulsory school. On the basis of the pupils' needs, such a plan should contain information about the pupils' school situation and performance, the class, teaching etc. The aim of this article was to study how special educational needs are defined and described and what support measures the school is suggesting, using IEPs from a sample of Swedish compulsory schools. Our study is based on an analysis of IEPs for pupils with special educational needs in the nine‐year compulsory school in a municipality in northern Sweden. A strategic selection of three compulsory schools was made and we restricted the study to grades 3, 6 and 9. The method used to analyse the IEPs was content analysis. Using different theories within the field of special education and disability studies, we have tried to discern to what extent the problems described, and the proposed measures (intervention), are related to predetermined theoretical models of disability and special needs education. Our analysis indicates that difficulties are predominantly attributed to the pupils' shortcomings and individual characteristics, and the same holds for the recommended measures. Another interesting finding is that a number of the plans were established without involving the parents, and many of them did not even know that their child had an IEP. Finally, we discuss our findings in relation to different research traditions within the field of special education.     

What is the meaning of special education? Problem representations in Swedish policy documents: late 1970s–2014

In Sweden, as in many other countries, inclusion has been on the political agenda for a long time and has served as a blueprint and guiding principle for practical work in school. However, inclusive education has, by and large, been associated with special education measures, which seriously limit the chances of achieving the vision of inclusion. In this article, we analyse how the meaning of special education is constructed in policy documents from four distinct time periods of Swedish education policy from the late 1970s to 2014. The paper draws on an approach to scrutinise the process of problematisation in public policy-making. Based on the analysis, we argue that there are prospects of a hegemonic intervention regarding the meaning of special education during later years in Swedish education policy, emphasising an individual perspective and individual deficiencies. In contrast to inclusive ambitions, this perspective advocate segregated support measures. Finally, based on previous research and tendencies within the field, we present arguments in the concluding discussion why this hegemonic intervention in education policy also might attract the support of school personnel at the local school level and some potential consequences of the expansion of special education in Sweden.     

What is the relationship between social constructivism and Piagetian constructivism? An analysis of the characteristics of the ideas within both theories

For twenty years, social constructivism has been a paradigm in science teaching and not an easy bedfellow for piagetian constructivism, even though both have had the same thing in mind… a study of the learner. For this reason we attempt to find connections and bridges between them so that both may be enriched, to the benefit of science teaching.     

Topological metrics in academic genealogy graphs

Academic genealogy aims to structure and analyze the mentoring relationships between advisor and advisee. The representation of this structure results in academic genealogy graphs. For the analysis and characterization of these graphs, we present a set of metrics and their corresponding mirror metrics that capture the characteristics of its topological structure and represent them as quantitative attributes. The metrics of fecundity, fertility, descendants, cousins, generations, and relationships consider the descendants of the academics represented in the graph. The mirror metric of these topological metrics considers the ascendancy of academics. Individually, the metrics have strong semantic intuition and define characteristics regarding the performance in the mentoring of an academic. Together, the metrics are useful for the identification, characterization, and classification of communities and their members. The genealogical data available through the platforms of the Mathematics Genealogy Project and the Academic Family Tree were used as case studies. Two hundred thirteen thousand and 675,000 academic records were obtained for each project. We analyze the capacity of characterization of the metrics using the structuring of a similarity graph and through the distribution of the nodes in principal components. We observed that the set of metrics is capable of capturing the configuration pattern existing in genealogy graphs independently of its scale.