Characteristics of students who benefit from high-quality mathematics instruction

The present study examined characteristics of students who took advantage of the opportunity to learn Algebra II from a highly skilled teacher. In particular, student information was gathered concerning: (a) the amount of mathematics students knew prior to the class, (b) their motivation for learning mathematics, (c) the number and types of interactions they had with the teacher during class, (d) degree of self-regulation, and (e) general aptitude. A model for achievement was used that suggests both opportunity and propensity are important (i.e., students must be willing and able to take advantage of opportunity). Support for the model was found. Propensity to take advantage of a highly favorable opportunity accounted for almost sixty percent of the variance in achievement. In particular, students who were self-regulated, had strong mathematics backgrounds, and had low levels of frustration benefited more from high-quality instruction.     

School Choice and the Polarization of Public Schools in A Global City: A Bourdieusian GIS Approach

ABSTRACT

Over the past three decades, urban sociologists have shed light on the intensifying social inequality between the wealthiest and poorest neighborhoods in global cities; yet limited research has been done to illuminate the relationships between urban polarization and school choice (i.e., where parents choose schools for their children). This study sociospatially examines the patterns of secondary school choice in the global city of Toronto to illuminate the relationship between urban polarization and school choice. In doing so, this study combines Pierre Bourdieu’s sociospatial theory with a geographic information systems (GIS) approach. Overall, we found that popular schools and schools with specialized choice programs tend to be located in high-status neighborhoods, defined as neighborhoods with residents in the top 20% of family income, home prices, education attainment, and representation from the dominant culture. We also show that mobile students who choose popular schools or highly sought-after specialized programs tend to come from advantaged neighborhoods. Meanwhile, local students who choose a regular school in their neighborhood tend to come from low-status neighborhoods. With a new interdisciplinary approach, this study contributes to a more spatialized understanding of how social inequality and polarization account for school choice.     

Using Variables in School Mathematics: Do School Mathematics Curricula Provide Support for Teachers?

This study employed content analysis to examine 3 popular middle-grades mathematics curricula in the USA on the support they provide for teachers to implement concepts associated with variables in school mathematics. The results indicate that each of the 3 curricula provides some type of support for teachers, but in a varied amount and quality. More specifically, whereas the University of Chicago School Mathematics Project (UCSMP) curriculum provides support for teachers on several aspects of using variables in school mathematics, the support found in the Connected Mathematics 2 and the Math Connects curricula focused mainly on one conception of variables—namely, the use of variables as quantity that varies in the Connected Mathematics 2 curriculum and the use of variables as specific unknowns in the Math Connects curriculum. Overall, the UCSMP curriculum provides the most support for teachers, followed by the Connected Mathematics 2 curriculum, with the Math Connects curriculum recording the least support for teachers to enact variable concepts. It is worth pointing out that, although the 3 curricula collectively provide guidance for teachers to implement variable ideas within meaningful real-world contexts, the supports identified in the respective curriculum were not sufficient in addressing all of the areas that are essential for teaching the many concepts associated with variables in school mathematics effectively. Recommendations for curriculum developers and for international researchers with interest in the roles of variables in school mathematics are provided.     

The Future of Student Self-Assessment: a Review of Known Unknowns and Potential Directions

Educational Psychology Review - This paper reviews current known issues in student self-assessment (SSA) and identifies five topics that need further research: (1) SSA typologies, (2) accuracy, (3)...     

Disciplinary Literacies and Learning to Read for Understanding: A Conceptual Framework for Disciplinary Literacy

This article presents a framework and methodology for designing learning goals targeted at what students need to know and be able to do in order to attain high levels of literacy and achievement in three disciplinary areas—literature, science, and history. For each discipline, a team of researchers, teachers, and specialists in that discipline engaged in conceptual meta-analysis of theory and research on the reading, reasoning, and inquiry practices exhibited by disciplinary experts as contrasted with novices. Each team identified discipline-specific clusters of types of knowledge. Across teams, the clusters for each discipline were grouped into 5 higher order categories of core constructs: (a) epistemology; (b) inquiry practices/strategies of reasoning; (c) overarching concepts, themes, and frameworks; (d) forms of information representation/types of texts; and (e) discourse and language structures. The substance of the clusters gave rise to discipline-specific goals and tasks involved in reading across multiple texts, as well as reading, reasoning, and argumentation practices tailored to discipline-specific criteria for evidence-based knowledge claims. The framework of constructs and processes provides a valuable tool for researchers and classroom teachers' (re)conceptualizations of literacy and argumentation learning goals in their specific disciplines.     

Teacher–child interaction in Chinese kindergartens: an observational analysis

The goals of this research were to describe the daily life of children and teachers in Chinese kindergarten programmes, to better understand how teacher–child interactions affect both teachers and children. The main assumption guiding this research was that teacher–child interaction is one of the most important processes in early childhood education. A clear understanding of typical teacher–child interactions may help to improve teachers’ support of children’s learning and development. In‐depth field observations of 12 Chinese teachers in six classrooms were conducted using a participant‐observer approach. Five hundred and eighty‐nine teacher–child interaction cases were observed and described. An inductive content analysis of the cases resulted in the creation of nine functional categories for teacher‐initiated interactive behaviours and nine functional categories for child‐initiated interactive behaviours. In this paper, we describe these functional interaction categories and report on their relative frequency in the Chinese kindergarten classrooms involved in this study. Teacher and child interactive behaviours are complementary, depending on the shared meaning of the interaction. Some differences were found in the interactive behaviours of older and younger children with their teachers. We discuss the results in the cultural context of China and conclude that careful and systematic observation and analysis of early childhood classroom interaction is essential for better understanding and improvement of teaching practices.     

Mild head injury as a source of developmental disabilities.

The hospital-reported incidence of mild head injury among children indicates a prevalence of 2% to 3% in high-school-aged adolescents (14 to 18 years). Yet, our survey of 616 high school adolescents suggests that light and mild head injury (not necessarily leading to hospital admission) is almost 10 times this level. Despite the common notion that such injury is generally benign, we found significant relationships in our sample between reported head injury and hyperactivity, stuttering, mixed handedness, and dislike of mathematics.     

Preparing for re-entry; A program for the sojourning student

A visitor to a new country is assaulted by many changes, both environmental and cultural. Expecting things to be different the visitor is shocked by what he/she finds, thus the term culture shock. A second shock, possibly more traumatic, awaits the international sojourner upon his or her arrival home. The experiences of the returnee typically do not match his or her expectations. Frequently, the individual returning home is not anticipating adjustment difficulties. Compounding the problem is the fact that re-entry has not been widely recognized or researched and thus, little has been done to help individuals to prepare for it.Focusing on international students, who by definition return home, this paper refers to a wide range of social, cultural, political, educational and professional difficulties. The many variables which determine the extent of re-entry shock are identified and discussed. A group program is suggested as one strategy for assisting those about to return home. The results of a pilot study of such a program illustrate how it can be a powerful force to minimize the disorientation and shock of re-entry.This paper serves as a challenge to all those who are responsible or work with international students. Re-entry preparation is also a prerequisite if individuals, institutions, corporations, home countries and host countries are to maximize the benefits and minimize the problems of studying or working abroad.