This paper compares and contrasts the experiences of two parents who have chosen to homeschool their children in mathematics despite having difficulties with mathematics at school themselves. It describes the strategies these two parents used to overcome their lack of content knowledge and/or mathematics anxiety and are illustrative examples of…

Researchers have argued that integrating early algebra into elementary grades will better prepare students for algebra. However, currently little research exists to guide teacher preparation programs on how to prepare prospective elementary teachers to teach early algebra. This study examines the insights and challenges that prospective teachers…

This article is a report on the findings of three case studies that focused on elementary teachers' in-the-moment noticing across a month of instruction. Extending Jacobs and her colleagues' framework (Jacobs, Lamb, and Philipp, 2010), this articles categorizes the mediums (i.e., written accounts, verbal interactions, physical strategies) by which…

In this essay, the authors share some of their journey as they seek to make sense of what it might mean to prepare secondary mathematics preservice teachers to teach mathematics for social justice. The focus on how to prepare mathematics teachers to critically consider the world around them and to further develop the dispositions to become agents…

Every day students from across the United States enter their math classrooms, take their seats, sit passively as their teachers teach the content, and then go home only marginally prepared to solve the problems their teachers assigned. Although the challenges of teaching are universal and as old as Methuselah, the advantage today is that educators…

Teacher education based on "reflective practice" consists of observing, analysing and reflecting on teacher performance in order to improve professional practice. This article presents the results of an evaluation of a programme on mathematics teaching carried out using reflective practice. It was targeted at 284 teachers in various…

Many stakeholders have long argued that teachers should use data from their own teaching as a way to improve their performance. The first chapter of this dissertation is a summary of the literature that advises mathematics teachers about what data they should gather and how they should use those data to improve instruction. The literature is…

The goal of this study was to investigate understanding of inservice elementary school teachers in Taiwan about number sense, teaching strategies of number sense and the development of number sense of students; and the profile of integrating number sense into mathematical instruction , and teaching practice. Data was gathered through interviews of…

The National Mathematics Advisory Panel, established under the Bush Administration, was created to improve teaching and learning of mathematics in the United States. One component of the study was focused on teachers and professional development opportunities. They found that the majority of professional development studies available were mostly…

Recognizing and responding to students' thinking is essential in teaching mathematics, especially when students provide incorrect solutions. This study examined, through a teaching scenario task, elementary preservice teachers' interpretations of and responses to a student's work on a task involving reflective symmetry. Findings revealed that a…

This study attempts to explain the substantial differences in mathematical achievement of elementary students in a Delaware school district by analyzing the level of content and pedagogical knowledge of elementary math teachers. I examined tenth graders' longitudinal state test results in mathematics and found that performance in the primary years…

This booklet focuses on effective mathematics teaching. Drawing on a wide range of research, it describes the kinds of pedagogical approaches that engage learners and lead to desirable outcomes. The aim of the booklet is to deepen the understanding of practitioners, teacher educators, and policy makers and assist them to optimize opportunities for…

The plethora of data that confronts teachers on a daily basis requires that they know more than simply being able to calculate. It demands that they understand the context in which the mathematical ideas are embedded and what those ideas are telling them in relation to that context. Also, it necessitates that they are prepared to question how…

Elementary school mathematics teaching begins with the teacher's understanding of the mathematical content to be taught. The teacher knows how to "do" the mathematics, i. e., understands the concepts and truths concerning that mathematics. The teacher then decides how to present the mathematics. Based on the students' background in mathematics,…

Provides examples of the mathematics explored in a project that involved teachers in seminars in which they solved problems that focused on algebraic thinking across the grades. Presents the project as a model for staff development for teachers across grade levels. (DDR)