Zooming in on infinitesimal 1–.9.. in a post-triumvirate era

The view of infinity as a metaphor, a basic premise of modern cognitive theory of embodied knowledge, suggests in particular that there may be alternative ways in which one could formalize mathematical ideas about infinity. We discuss the key ideas about infinitesimals via a proceptual analysis of the meaning of the ellipsis “...” in the real formula \(\hbox{.999\ldots = 1}\). Infinitesimal-enriched number systems accommodate quantities in the half-open interval [0,1) whose extended decimal expansion starts with an unlimited number of repeated digits 9. Do such quantities pose a challenge to the unital evaluation of the symbol “.999...”? We present some non-standard thoughts on the ambiguity of the ellipsis in the context of the cognitive concept of generic limit of B. Cornu and D. Tall. We analyze the vigorous debates among mathematicians concerning the idea of infinitesimals.     

Cheating or cheated? Surviving secondary exit exams in a neoliberal era

Cheating on exams is a rampant and highly developed practice among youth in the Arab world, often involving elaborate networks, advanced technology and adult authorities. Rather than viewing cheating as mere laziness or immorality, this article interrogates the social meanings of cheating by comparing the practices and discourses of cheating on high-stakes high school exit exams – the tawjihi in Jordan and the Baccalauréat in Morocco. Using informal networks to obtain higher grades, and thereby better futures, cheating is one way youth contest the putative meritocracy of the state to reclaim a sense of control over their lives. Ironically, cheaters develop twenty-first century skills of collaboration, networking and creativity outside the school in order to evade the nation’s formal system of educational sorting. We argue that cheating illuminates the declining effectiveness of the public school in the nation-building project and the simultaneous emergence of the outcomes-oriented ‘neoliberal student’.     

Consensus or dissensus? Stakeholders’ views on the role of play in learning

Across cultures and eras, children have engaged in play as part of the process of growing and maturing into adulthood. Play has been recognized as an effective form of pedagogy to promote learning in the early years. However, beliefs about what play is and how it should be practiced vary across Hong Kong and in other countries. Because Chinese culture places a heavy emphasis on academic achievement, a play-based curriculum has not been widely implemented in the region. Through classroom observations and interviews with key stakeholders in early childhood education, namely parents, teachers, and principals, this study reveals the complexity of views on this matter and uncovers the root cause of the difficulties in supporting play in the Hong Kong kindergartens. These findings may help promote the play-based curriculum in Hong Kong and other countries where play is in crisis.     

Race and sex: teachers' views on who gets ahead in schools?

The research reported here was part of a large study of the impact of age, disability, race and sex on the teaching profession in England. The basic question asked in this research was how do these factors interact with career aspirations and achievements of classteachers, promoted teachers and headteachers? There were three different data sources: a large postal survey drawn from diverse geographic regions across England with over 2000 respondents; face‐to‐face individual interviews with over 100 teachers in 18 case study schools from across all of the main regions of England; discussions with special interest groups of teachers. Not surprisingly, the answer to the above question was complex. Nonetheless, the paper's conclusion highlights some of the noteworthy themes across this broad sample of teachers from primary, secondary and special schools.

Les travaux de recherche décris dans cet article ont fait partie d'une large étude sur l'impact de l'age, des handicaps, de l'origine ethnique et du genre sur les professions de l'enseignement. L'une des questions abordées dans cette recherche était de savoir comment ces facteurs interagissaient avec les aspirations professionnelles et les carrières des enseignants, administratifs et chefs d'établissement. Trois principales sources d'information ont été utilisées: un sondage par courrier de plus de 2000 personnes, couvrant différentes régions géographiques de l'Angleterre; des entretiens individuels avec une centaine d'enseignants de 18 écoles cibles, reparties sur les principales régions de l'Angleterre; des discussions avec des groupes de travail d'enseignants. De manière non surprenante, la réponse à la question ci‐dessus s'est avérée complexe. Néanmoins, cet article met en évidence un ensemble de thèmes significatifs à travers ce large groupe d'enseignants issus du primaire, du secondaire et d'institutions spécialisées.

La investigación que se presenta aquí formó parte de un largo estudio sobre el impacto que tenía la edad, discapacidad, diferencias de etnia y género en la profesión de maestro en Inglaterra. Una de las principales cuestiones a contestar en la presente investigación fue cómo estos factores interactúan en las aspiraciones profesionales de maestros, jefes del departamento y directores, se presentan en este artículo. Hubo tres principales fuentes de datos. Estas incluían: una amplia encuesta por correo la cual tuvo en cuenta diversas regiones de la geografía de Inglaterra, con cerca de unas 2000 personas encuestadas; entrevistas individuales cara a cara a unos 100 maestros en 18 estudios de casos de escuelas a través de todas las principales regiones de Inglaterra; y discusiones con grupos interesantes de maestros. No nos debe sorprender que las respuestas a las preguntas comentadas anteriormente fueran complejas de resolver. De todas formas las conclusiones del artículo dan luz a algunos de los temas significativos a través de la amplia muestra de maestros de escuelas de primaria, secundaria y escuelas especiales.

Die hier präsentierte Forschungsarbeit war Teil einer umfassenden Studie, die sich mit der Auswirkung von Alter, Behinderung, ethnischer Herkunft und Geschlecht auf den Lehrberuf in England auseinandersetzt. Die wesentliche Frage, die in dieser Forschungsarbeit gestellt wurde, lautete wie folgt: wie wirken sich genannte Faktoren auf Karriereaspirationen und Leistungen von Klassenlehrern, beförderten Lehrern und Schulleitern aus? Die Daten wurden aus drei Hauptquellen bezogen; dazu gehören: eine umfassende, geographisch breitgefächerte Postumfrage in England, auf die über 2000 Befragte antworteten; persönliche Gespräche mit über 100 Lehrern aus 18 zu Fallstudien herangezogenen Schulen in den Haupregionen Englands; und Diskussionen mit Lehrern, die bestimmte Interessengruppen vertreten. Die Antwort zu der oben genannten Frage war erwartungsgemäss komplex. Nichtsdestoweniger werden in dieser Arbeit einige der Themen hervorgehoben, die Lehrer aus dem Primär‐, Sekundär‐ und Sonderschulbereich für besonders erwähnenswert hielten.     

Structuralism’s relevance in a post-structural era: Re-visiting research on multicultural curricular studies

At the current historical juncture in which differences and inequalities are surfacing greater than ever in the world, societies, and schools, the main goal of this essay is to revisit the aspects of structuralism that can potentially contribute productively to understanding the invisible structures and forces that everyone carries (mostly unknowingly) with them at all times and in all places including in multicultural curricular and social justice work. By doing so, this essay also attempts to dispute with liberal humanistic notions of the self (teachers and students) in multicultural curricular studies that continues to support the dominant framework of curriculum. This essay is grounded on the idea that progressive change is predicated on (although never guaranteed by) uncovering and understanding as fully as possible the social, political, and economic organization of the world, which is always mediated by individual selves who are located within the world in specific ways.     

Teachers’ views on effective classroom management: a mixed-methods investigation in Western Australian high schools

Teachers’ views about teaching, learning and school experiences are important considerations in education. As the central participants in classroom interactions, students and teachers naturally have strong views about what it takes to manage learning and surrounding behaviours effectively. With this in mind and because we believe that ignoring the thinking of either of these stakeholders would be to the detriment of teaching and teacher education, we focused on hearing and understanding teachers’ voices about teaching, learning and classroom management. Our aim was to further clarify teachers’ perspectives on how educators create quality learning environments as well as gathering their views of various disciplinary interventions, their perceptions of challenging students and their sense of efficacy for classroom management in order to inform both policy and practice in teacher education. A survey was conducted with 50 secondary school teachers to capture their views on their classroom experiences. Follow up interviews with teachers identified by students as effective in their classroom management provided consistent reports that effective classroom managers build positive relationships with their students, manage their classrooms by establishing clear boundaries and high expectations, and engage students in their learning.

     

Monitoring comprehension in a foreign language: Trait or skill?

Metacognition and Learning - Success in higher education is highly dependent on students’ ability to efficiently read and comprehend large amounts of text in the speaker’s first/native...     

Parental entrepreneurship in public education: a social force or a policy problem?

Parental involvement in public education is an expression of joint responsibility between parents and the state in which parents are expected to comply with current educational policy. Moreover, parents are often perceived as reactive, whereas the educational administration is seen as proactive, mainly by reducing barriers and establishing mechanisms for parental involvement. Referring to proactive involvement in which parents practice noncompliance while fighting the system, this study conceptualizes ‘parental entrepreneurship.’ The practical aspects of parental entrepreneurship are analyzed based on three well-known manifestations: homeschooling, the integration of children with special needs, and parental cooperatives within early childhood education and care. Parental entrepreneurship further exemplifies the blurry boundaries between parents and administration as regards children’s education and demonstrates that the entrepreneurial role parents may play in reforming formal public education. Parental entrepreneurship also illuminates the ongoing renegotiation of the foundations of the social contract between parents and the government, primarily in relation to professionalism, legitimacy, and authority.     

Poor Reading: A Deficit in Skill-Automatization or a Phonological Deficit?

This study examined whether the characteristic reading speed impairment of German dyslexic children results from a general skill-automatization deficit sensu Nicolson and Fawcett (1990) or from more specific deficits in visual naming speed and phonological skills. The hypothesized skill-automatization deficit was assessed by balancing, peg moving, and visual search. Rapid "automatized" naming tasks served as measures of impaired visual naming speed, and the phonological deficit was assessed by speech perception, phonological sensitivity, and phonological memory tasks. Dyslexic German children and age-matched control children (all boys) were tested at the end of Grade 2 and as participants of a longitudinal study also at the beginning of Grade 1. No evidence for a skill-automatization deficit was found, as the dyslexic children did not differ at all on the balancing tasks and little on the other nonverbal skill tasks. However, the dyslexic children showed impaired visual naming speed and impaired phonological memory performance that were observed not only in Grade 2 but also before learning to read. Overall, the findings support the conclusion that, even in regular orthographies, difficulties in learning to read are due to a phonological deficit and not to a general skill-automatization deficit.     

Comparisons of ‘Education Reform’ in Britain and the USA: a new era?

ABSTRACT

This paper compares and contrasts the origins, objectives and outcomes of the New Right education reform movements in Britain and the USA. It considers whether the education reforms will create a new era for schools, in terms of diversity of public and private provision and social, sexual and racial differentiation. This is despite the emphasis on quality or excellence in education as opposed to equality of educational opportunity. The origins of the reform movements are to be found in both the politics and economic developments of the ‘social democratic’ or ‘liberal’ bipartisan political consensus. The objectives of the reforms are to deal with declining international competitiveness and the raising of educational standards through consumer or parental choice. The outcomes are likely not to be a general raising of standards but rather a bifurcation in terms of a complex mix of class, race and gender.     

Student Discourse on Tokokyohi (School Phobia/Refusal) in Japan: Burnout or empowerment?

Tokokyohi (school phobia/refusal) has been steadily increasing in Japan since the 1980s. It is causing an exodus of students from schools, thus creating a legitimation crisis of the education system. This paper examines this phenomenon by focusing on its various discourses. Four types of adult discourse are discussed: the psychiatric (tokokyohi as mental illness); the behavioural (tokokyohi as laziness); citizens' (tokokyohi as resistance to school); and socio-medical (tokokyohi as physical and psychological burnout). These are compared with the student discourse drawn from autobiographical accounts of tokokyohi. This paper argues that tokokyohi is a process in which students who burn out in the extremely demanding and alienating school system try to empower themselves in their search for subjectivity.     

Expansion of special education and promotion of inclusive education in China: conflict or cooperation? Stakeholders' views

A key objective of inclusive education is to provide learners with special educational needs with an environment that fosters a sense of belonging. They lose the sense of belonging when they feel being separated from the rest of society. Segregation is, however, a logically necessary method and means of the pursuit of inclusion. The focus of this study was to uncover the experiences and views of Chinese stakeholders regarding the possible conflict between expansion of special education (i.e., segregation, exclusion) and promotion of inclusive education (i.e., inclusion, mainstreaming). We conducted in-depth interviews with nine academics, administrators, and practitioners to better understand the possible impact of inclusive education on regular education. The main finding is that special education can be provided in four forms which the participants argued is an advantage to meet the needs of all learners. They argued that giving home education for learners with high severity, attending special education schools and mainstreaming schools are rehabilitation methods to prepare learners for full integration should they prove successful. The study contributes to a broader understanding of how special education is provided in China and its potential effects on regular education (e.g., challenges in teacher preparation, lack of resources).     

‘We are the professionals’: a study of teachers’ views on parental involvement in school

The study examines teachers’ attitudes and experiences regarding home–school cooperation. Teachers constitute a powerful group in school compared with parents, and this relationship is interpreted through Bourdieu’s concept of social field, as a power relation. The empirical analyses are based on a mixed‐methods approach with survey and qualitative interviews among teachers in Norway. The results show that while teachers experience the interaction in a positive way, they try to limit parents’ influence through emphasising their own professionalism, thus leaving parents with the role as supporters. Teachers who relate to well‐educated parents are especially conscious of maintaining a distance towards the parents in order to keep them in their place.     

Homeschooling in Brazil: A Matter of Rights or a Political Debate?

ABSTRACT

This article presents an analysis of the right to education in Brazil in light of the growing number of Brazilian families practicing homeschooling. The debate is recent in Brazil. Here we present an analysis of international literature on homeschooling, Brazilian literature on the right to education, and an appraisal of lawsuits against Brazilian families for teaching their children at home. In light of truancy regulations and the evolution of a right to education in Brazil, homeschooling creates legal and political challenges.     

Teachers’ intercultural competence: a requirement or an option in a culturally diverse classroom?

This paper reports an exploratory study of the development of intercultural competence (IC) in elementary school teachers in Catalonia, Spain, utilising mixed-method quantitative and qualitative assessments. Through enrolment in a teacher training activity, the starting point was the administration of the Intercultural development inventory (IDI) to assess IC. Later, a discussion group was held to reflect on the results of the evaluation and to discuss educational practices in the face of cultural diversity. The quantitative IDI findings indicated that, regardless of the presence of foreign origin students at schools, participant teachers overestimate their level of intercultural sensitivity; there is a tendency to emphasise similarities in all cultures, which can minimise significant cultural differences. Nevertheless, the teachers became interested in cultural diversity after considering their potentially controversial and problematic educational context. Beyond admitted limitations of this study, inherent to small-scale methodological approach, our practice-based reflective proposal highlights obstacles and potentialities for managing cultural diversity in the classroom. These findings support the conclusion that IC is distributed throughout members of a community rather than being strictly an individual attribute. At the same time, the study thus demonstrates a mixed-method training design as an effective means of developing and assessing IC.     

Limitations on the human capital transferability of adult migrants in Spain: Incentive or barrier for a new investment in education?

Many empirical studies on immigrant integration document the benefits of an education acquired in the country of destination. In this article; we study how the degree of human capital transferability affects an immigrant's chances of studying in Spain. We used data from the Spanish Labour Force Survey (2008–2015) for a sample of adults aged 18–55 who had left the educational system. The main findings show that natives are the ethnic group with the highest likelihood of re-enrolling in education. Amongst immigrants, those with fewer limitations on human capital transferability also invest more. These results question the predictions of the Immigrant Human Capital Investment model which expect that immigrants whose human capital depreciates upon arrival and those who can obtain a higher return on a new investment in education are therefore more likely to study. Moreover, the effect of skill transferability differs depending on the type of obstacle and the kind of education. Immigrants with less linguistic and cultural familiarity with the host country are less likely to undertake non-formal education than formal education. However, when the transferability obstacles are related to administrative requirements and legal restrictions, the probability of investing in non-formal education is higher. We conclude that immigrants with low skill transferability are not only less well integrated in the labour market upon arrival, but are also less able to redress that disadvantage through a new investment in education.     

The Bat'a Company in Zlín: a shoe company or a school company?

The first part of the study focuses on the characteristics and analysis of Zlín as an example of a company town. Life in the company town is characterised as a means of forming ‘a new man’ in Bat'a’s Zlín. The second section analyses the aims of worker education in Bat'a’s Zlín (in the so-called Bat'a school of work) and highlights the methods and conditions of education for young men and women, focusing on the area of company education. The third part deals with the question of rationalisation (or scientific management) – an extended concept in the production, social and economic areas of interwar Czechoslovakia – in the context of Bat'a’s Zlín. Attention is given to the technocratic movement and to the problems of psycho-technology and its application in the production process and employee selection in the Bat'a Company.