Relationships between mathematical knowledge for teaching and teaching practice: the case of proof

Teachers of mathematics orchestrate opportunities for interactions between learners and subject matter. Therefore, mathematics teachers need rich, multidimensional content knowledge for teaching mathematics, which incorporates knowledge of the subject matter, students, and teaching. Studying this mathematical knowledge for teaching (MKT) necessitates more than a unidirectional assessment. In this study, the mathematical knowledge for teaching reasoning and proving of two secondary mathematics teachers was investigated through classroom observations and clinical assessments. Results indicate that using MKT as a frame for examining classroom practice, in addition to assessing the MKT a teacher possesses in a clinical setting, provides an in-depth and innovative method for investigating MKT. The comparison of the two cases also identifies student positioning as a key mediating factor between MKT and opportunities to learn. Implications for using MKT as a lens for examining practice in teacher education are discussed.     

Leadership identity in a small island developing state: the Jamaican context

While the role of leadership in improving schools is attracting more worldwide attention, there is a need for more research investigating leaders’ experiences in different national contexts. Using focus-group and semi-structured interview data, this paper explores the background, identities and experiences of a small group of Jamaican school leaders who were involved in a leadership development programme. By drawing on the concepts of culture, socialisation and identity, the paper examines how the participants’ journeys of becoming and being school leaders are influenced by national-level societal and cultural issues, experienced at a local level. The findings suggest that in becoming school leaders, the participants perceived that they had a strong sense of agency in attempting to change the social structures within the institutions they lead and in the surrounding local communities, which in turn, they hope, will have a lasting effect on the nation as a whole.     

Perceived Parental Influence on Mathematics Learning: A Comparison Among Students in China and Australia

This paper explores the perceived parental influence (PPI) on mathematics learning among over 700 students across three year levels (Years 5, 7, 9) in China and Australia. It was found that the PPI of students was less strong as year levels increased in both countries. Students in China had stronger perceived parental encouragement and higher perceived parental educational expectation than students in Australia. The PPI of students from different home language backgrounds was also investigated. Students in China demonstrated stronger perceived parental encouragement and parental expectation than English speaking students and other language speaking students in Australia, and they also demonstrated stronger perceived parental expectation than Chinese speaking students in Australia, and similar perceived parental encouragement. Within the three groups of students in Australia, Chinese speaking students and other language speaking students demonstrated similar levels of perceived parental encouragement and expectation, but they both demonstrated a higher level of perceived parental encouragement and expectation than English speaking students. Possible reasons for the similarities and differences between the different groups of students were discussed.     

Factor analysis of the metropolitan readiness test on first-grade children

The factor composition of the Metropolitan Readiness Test was investigated, using 1st-grade subjects in a suburban school district. In this analysis, a total battery score was supported, as well as a second factor believed to represent a language dimension of the test. None of the MRT's other content areas (auditory, visual, or quantitative abilities) or a distinct prereading measure were identified for this sample.     

ERASMUS: THE EUROPEAN COMMUNITY'S HIGHER EDUCATION ACTION PROGRAMME IN ITS FIRST YEAR

On 14 May 1987, the Education Ministers of the Twelve reached agreement on the European Community Action Scheme for the Mobility of University Students (ERASMUS). With a total of 85 million ECU** ** One ECU is worth approximately $ 0.8131 United States dollars. View all notes earmarked for its initial phase (1 July 1987 to 30 June 1990), the programme will aim at encouraging increased student and staff mobility throughout the European Community by means of the creation of a European University Network, the award of grants to individual students, arrangements for the mutual recognition of qualifications and courses or parts of courses, and a range of additional supporting measures. In the following article, the authors will examine, in some detail, the Actions provided for in the Programme, which was formally adopted by the Council on 15 June 1987.

     

Using Art Media During Prewriting: Helping Students with Dysgraphia Manage Idea Generation Before Encoding Text

Many students struggle with writing skills. This study focuses on three students (second and fourth grades) who were classified with a learning disability by their school. These children had writing goals and objectives (i.e., characteristics of having dysgraphia) included in their Individual Education Plan. In a single case design format, each student was taught the Ask, Reflect, Text (ART) mnemonic strategy to help improve story content and quality. The components of ART include students Ask themselves a series of seven questions; the students then Reflect on their answers and illustrate their story-content responses with art media (e.g., paints, colored markers, play dough); and from this prewrite illustration, students generate their Text. All participants improved greatly in story content. They also improved in story quality but to a lesser extent.     

A study of the difficulties of care and support in new university teachers’ work

This paper discusses some findings from a small‐scale qualitative study involving ‘new’ teachers in a medium sized, regional English university. Using Grounded Theory methods to inform and guide the research, the study explores participants’ views on working as both teachers and researchers whilst also managing considerable amounts of ‘caring work’ with a diverse body of students who often need academic and pastoral support in excess of that assumed within the university academic timetables or support networks. The voices of these teachers suggest that care is an overlooked aspect of university teachers’ work, yet it plays an important part in maintaining their and their students’ sense of scholarly endeavour. Further, our findings suggest that within the university at large there is a ‘discourse of difference’ in the way that many academics conceptualize and represent the student body and students’ needs to be supported. This discourse impacts on the development of new teachers’ identities and aspirations. Some implications of these findings for implementing strategies for supporting teachers to develop both academic and pastoral roles within universities are discussed.