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The Interconnectedness Of Relational And Content Dimensions Of Quality Instruction: Supportive Teacher-Student Relationships In Urban Elementary Mathematics Classrooms, Dan Battey, Rebecca A. Neal, Luis Leyva, Karlyn Adams-Wiggins May 2016

The Interconnectedness Of Relational And Content Dimensions Of Quality Instruction: Supportive Teacher-Student Relationships In Urban Elementary Mathematics Classrooms, Dan Battey, Rebecca A. Neal, Luis Leyva, Karlyn Adams-Wiggins

Rebecca Neal

Scholars assert that the often-impoverished instructional practices found in urban schools are tied to teachers’ negative relationships with African American and Latiná1 students (Ferguson, 1998; McKown & Weinstein, 2002; McKown & Weinstein, 2008; Morris, 2005; Stiff & Harvey, 1988). However, measures of mathematics instructional quality rarely measure relational elements of instruction. This study responds to such shortcomings by analyzing relational interactions in urban elementary mathematics classrooms in tandem with content instruction of teachers who engage in supportive relationships with African American and Latiná students. This study identified teachers with high quality student performance, content instruction, and supportive …

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Using Competencies To Explain Mathematical Item Demand: A Work In Progress, Ross Turner, Werner Blum, Morgens Niss Aug 2014

Using Competencies To Explain Mathematical Item Demand: A Work In Progress, Ross Turner, Werner Blum, Morgens Niss

Ross Turner

This chapter describes theoretical and practical issues associated with the development and use of a rating scheme for the purpose of analysing mathematical problems—specifically, to assess the extent to which solving those problems calls for the activation of a particular set of mathematical competencies. The competencies targeted through the scheme are based on the mathematical competencies that have underpinned each of the PISA Mathematics Frameworks. The scheme consists of operational definitions of the six competencies (labelled as communication; devising strategies; mathematisation; representation; using symbols, operations and formal language; and reasoning and argument), descriptions of four levels of activation of …

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The Development Of A Single Scale For Mapping Progress In Mathematical Competence, Ross Turner, Gayl O'Connor Dec 2004

The Development Of A Single Scale For Mapping Progress In Mathematical Competence, Ross Turner, Gayl O'Connor

Gayl O'Connor

The authors’ intention is to develop a progress map that describes increasing mathematical competence. The main purpose of this chapter is to describe the means by which the research team has been able to use the data from a longitudinal testing program to build and refine a picture of growth in mathematical competence. In this chapter, conceptualisation of the underlying variable to be measured in developing a mathematical progress map is considered, and approaches to its development are discussed. The approach adopted is described and the results of the application of that methodology to the data generated through this research …

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