This article provides an initial comparison of the Principles and Standards for School Mathematics and the Common Core State Standards for Mathematics by examining the fundamental notion of slope. Each set of standards is analyzed using eleven previously identified conceptualizations of slope. Both sets of standards emphasize Functional Property,…

Increased reading difficulty of mathematics assessment items has been shown to negatively affect student performance. The advent of high-stakes testing, which has serious ramifications for students' futures and teachers' careers, necessitates analysis of reading difficulty on state assessment items and student performance on those items. Using…

This article argues that, as teachers struggle to implement curriculum reform in mathematics, an explicit discussion of philosophy of mathematics is missing from the conversation. Building on the work of Ernest (1988, 1991, 1994, 1998, 1999, 2004), Lerman (1990, 1998, 1999), the National Council of Teachers of Mathematics (1989, 1991, 2000), Davis…

This paper is based on a presentation given at National Council of Teachers of Mathematics (NCTM) in 2005 in Anaheim, California. It explicates the developmental stages of the child as posited by Piaget. The author then ties each of the stages to developmentally appropriate mathematics instruction. The implications in terms of not imposing…

Even though there is much research related to the teaching and learning of K-12 mathematics, there are few studies in the literature related to university professors' teaching. In this research report, I investigated how three professors of mathematics education structure their graduate level curriculum courses. The results show that three factors…

The purpose of this paper is to describe and reflect on the changes in the new elementary mathematics teacher education curriculum in Turkey. It is our goal to share the revised teacher education curriculum with the outside mathematics teacher education community. The paper is organized around four major sections: An overview of the teacher…

The ability to integrate technology into instruction is among the characteristics of a competent mathematics teacher. Research indicates that the vast majority of teachers in Turkey believe the use of computers in education is important, but have limited knowledge and experience on how to use technology in their instruction. This paper describes…

Learning how to use mathematics curriculum materials to create learning opportunities is an important part of the work of teaching. This paper presents findings from a study involving 15 elementary preservice teachers enrolled in, first, a content and, then, a methods course, and discusses the extent to which three curriculum interventions…

Today's technology standards (International Society for Technology in Education, 2000) challenge teacher education programs across the nation to address the need to produce computer literate teachers who are confident in their ability to choose and incorporate instructional technology into their classroom teaching. The purpose of this paper is to…

In this article, the author's intent is to begin a conversation centered on the question: How might mathematics educators ensure that gatekeeping mathematics becomes an inclusive instrument for empowerment rather than an exclusive instrument for stratification? In the first part of the discussion, the author provides a historical perspective of…