Investigating stratification, language diversity and mathematics classroom interaction

Research on the socio-political dimensions of language diversity in mathematics classrooms is under-theorised and largely focuses on language choice. These dimensions are, however, likely to influence mathematics classroom interaction in many other ways than participants’ choice of language. To investigate these influences, I propose that the notions ofheteroglossia, orders of indexicality and scale-jumping, can provide new theoretical tools with which to understand the links between classroom interaction and broader social patterns of marginalisation. To illustrate the utility of these ideas, I include some analysis of an episode observed in a sheltered elementary school second language mathematics classroom in Canada.

O curso de literacia da informação da NOVA Escola Doutoral: The road to information literacy

Descrevem-se as diversas fases do “Projeto para uma Estratégia de Literacia Informacional na NOVA” com vista à implementação de uma estratégia transversal de literacia da informação que abrangesse todas as Unidades Orgânicas da NOVA e o modo como a sua orientação de topo, dinâmica, metodologia e objetivos conduziram, posteriormente, à inclusão de um curso de Literacia Informacional no programa da NOVA Escola Doutoral. Realçando que a implementação do curso de Literacia Informacional nesse projeto passou a constituir um dos poucos exemplos de oferta formativa e de efetiva concretização de um projeto de intervenção curricular e pedagógica ao nível da literacia da informação no ensino superior em Portugal, promovendo a colaboração entre colegas e indo ao encontro de uma transferência de saberes e de uma partilha de competências abertas à colaboração de doutorandos e orientadores, enunciamse os objetivos do curso de Literacia Informacional e de cada módulo que o constitui e os resultados esperados ao nível do ensino e da aprendizagem. Conclui-se que a diversificação dos percursos formativos em contexto universitário, em estreita convergência com outras aprendizagens ao nível sociocultural, confere aos bibliotecários a responsabilidade de desempenhar um papel ativo no ensino e na promoção e consolidação das competências transversais dos estudantes, contribuindo a literacia da informação para o sucesso académico também ao nível do ensino superior.

Steps to success : family-friendly guide for fourth grade : mathematics

This document is designed to: provide examples of the standards, skills, and knowledge your child will learn in mathematics and should be able to do upon exiting fourth grade ; suggest activities on how you can help your child at home ; offer additional resources for information and help.

Steps to success : family-friendly guide for third grade : mathematics

This document is designed to: provide examples of the standards, skills, and knowledge your child will learn in mathematics and should be able to do upon exiting third grade ; suggest activities on how you can help your child at home ; offer additional resources for information and help.

Steps to success : family-friendly guide for fifth grade : mathematics

This document is designed to: provide examples of the standards, skills, and knowledge your child will learn in mathematics and should be able to do upon exiting fifth grade ; suggest activities on how you can help your child at home ; offer additional resources for information and help.

Methodologies for investigating relationships between concept development and the development of problem solving abilities

This paper is the second in a pair that Lesh, English, and Fennewald will be presenting at ICME TSG 19 on Problem Solving in Mathematics Education. The first paper describes three shortcomings of past research on mathematical problem solving. The first shortcoming can be seen in the fact that knowledge has not accumulated – in fact it has atrophied significantly during the past decade. Unsuccessful theories continue to be recycled and embellished. One reason for this is that researchers generally have failed to develop research tools needed to reliably observe, document, and assess the development of concepts and abilities that they claim to be important. The second shortcoming is that existing theories and research have failed to make it clear how concept development (or the development of basic skills) is related to the development of problem solving abilities – especially when attention is shifted beyond word problems found in school to the kind of problems found outside of school, where the requisite skills and even the questions to be asked might not be known in advance. The third shortcoming has to do with inherent weaknesses in observational studies and teaching experiments – and the assumption that a single grand theory should be able to describe all of the conceptual systems, instructional systems, and assessment systems that strongly molded and shaped by the same theoretical perspectives that are being used to develop them. Therefore, this paper will describe theoretical perspectives and methodological tools that are proving to be effective to combat the preceding kinds or shortcomings. We refer to our theoretical framework as models & modeling perspectives (MMP) on problem solving (Lesh & Doerr, 2003), learning, and teaching. One of the main methodologies of MMP is called multi-tier design studies (MTD).

Action research for contexts of change and inequality

Undoubtedly, the past half-century has witnessed an escalation of changes in the social, political, economic and educational structures in many societies around the world. Some have seen change as a challenge and hope while, for many others, it is a source of concern and worry. Some have adopted change with gusto, while for many it is something to be resisted. Some say we live in a world and times with an increasing awareness that “times are changing”, while for some “the more things change, the more they stay the same”.

Historical timelines : analyzing multimodal text design

The recent focus on literacy in Social Studies has been on linguistic design, particularly that related to the grammar of written and spoken text. When students are expected to produce complex hybridized genres such as timelines, a focus on the teaching and learning of linguistic design is necessary but not sufficient to complete the task. Theorizations of new literacies identify five interrelated meaning making designs for text deconstruction and reproduction: linguistic, spatial, visual, gestural, and audio design. Honing in on the complexity of timelines, this paper casts a lens on the linguistic, visual, spatial, and gestural designs of three pairs of primary school aged Social Studies learners. Drawing on a functional metalanguage, we analyze the linguistic, visual, spatial, and gestural designs of their work. We also offer suggestions of their effect, and from there consider the importance of explicit instruction in text design choices for this Social Studies task. We conclude the analysis by suggesting the foci of explicit instruction for future lessons.

Internet chatrooms : e-space for youth of the risk society

"This book focuses on issues in literacy and technology at the K-12 level in a holistic manner so that the needs of teachers and researchers can be addressed through the use of state-of-the-art perspectives"

Year 8, 9 and 10 students’ understanding and access of percent knowledge

This paper reports on Years 8, 9 and 10 students’ knowledge of percent problem types, use of diagrams, and type of solution strategy. Non- and semi-proficient students displayed the expected inflexible formula approach to solution but proficient students used a flexible mixture of estimation, number sense and trial and error instead of expected schema based methods.

Interdisciplinary modelling

This article examines one approach to promoting creative and flexible use of mathematical ideas within an interdisciplinary context in the primary curriculum, namely, through modelling. Three classes of fifth-grade children worked on a modelling problem, The First Fleet (Australia’s settlement), situated within the curriculum domains of science and studies of society and environment. Reported here are the cycles of development displayed by one group of children as they worked the problem, together with the range of models created across the classes. Children developed mathematisation processes that extended beyond their regular curriculum, including identifying and prioritising key problem elements, exploring relationships among elements, quantifying qualitative data, ranking and aggregating data, and creating and working with weighted scores. Aspects of Goldin’s (2000, 2007) affective structures also appeared to play an important role in the children's mathematical developments.

The ability of economic thinking : the “nature” versus “nurture” debate

In their studies, Eley and Meyer (2004) and Meyer and Cleary (1998) found that there are sources of variation in the affective and process dimensions of learning in mathematics and clinical diagnosis specific to each of these disciplines. Meyer and Shanahan (2002) argue that: General purpose models of student learning that are transportable across different discipline contexts cannot, by definition, be sensitive to sources of variation that may be subject-specific (2002. p. 204). In other words, to explain the differences in learning approaches and outcomes in a particular discipline, there are discipline-specific factors, which cannot be uncovered in general educational research. Meyer and Shanahan (2002) argue for a need to "seek additional sources of variation that are perhaps conceptually unique ... within the discourse of particular disciplines" (p. 204). In this paper, the development of an economics-specific construct (called economic thinking ability) is reported. The construct aims to measure discipline-sited ability of students that has important influence on learning in economics. Using this construct, economic thinking abilities of introductory and intermediate level economics students were measured prior to the commencement, and at the end, of their study over one semester. This enabled factors associated with students' pre-course economic thinking ability and their development in economic thinking ability to be investigated. The empirical findings will address the 'nature' versus 'nurture' debate in economics education (Frank, et aI., 1993; Frey et al., 1993; Haucap and Tobias 2003). The implications for future research in economics education will also be discussed.

Mentors report on their own mentoring practices

There are only two ways to implement reform in an education system, namely through inservice education of existing teachers and preservice teacher education. Implementing the Australian Curriculum will require targeting both teachers and preservice teachers. Classroom teachers in their roles as mentors have a significant role to play for developing preservice teachers. What mentors do in their mentoring practices and what mentors think about mentoring will impact on the mentoring processes and ultimately reform outcomes. What are mentors’ reports on their mentoring of preservice teachers in science and mathematics? This mixed-method study presents mentors’ reports on their mentoring of primary preservice teachers (mentees) in mathematics (n=43) and science (n=29). Drawing upon a previously validated instrument (Hudson, 2007), this instrument was amended to allow mentors to report on their perceptions of their mentoring. A questionnaire elicited extended written responses that focused on: (1) the mentors’ rapport with their mentees, (2) successful mentoring strategies, (3) aspects that may lead the mentee to feel unsuccessful, and (4) ways to enhance their mentoring skills. Mentors claimed they mentored teaching mathematics more than science. However, 20% or more indicated they did not provide mentoring practices for 25 out of 34 survey items in the science and 9 out of 34 items in the mathematics. Educational reform will necessity mentors to be educated on effective mentoring practices so the mentoring process can be more purposeful. Indeed, mentors who have knowledge of such practices may address the potential issues of more than 20% of mentees not receiving these practices. These mentors also claimed that professional development on effective mentoring can enhance their skills. To ensure the greatest success for an Australian Curriculum will require targeting mentors for professional development in order to assist mentees’ development into the profession.