Four elementary school instructors offer insights into their classrooms, their unique professional roles, and their leadership approaches as they reflect on their journey to advance teacher and student mathematics learning. They note a "teacher leader" serves as an example to other educators and strives to impact student learning;…

In this article, fourth-grade teacher Tabetha Finchum describes how a program called Arizona Master Teacher of Mathematics (AZ-MTM), a Noyce grant funded through the National Science Foundation, helped boost her confidence and broaden her understanding of the philosophies, curricula, and instructional decisions being implemented by other teachers.…

Findings from an extensive four-year program with a single cohort of elementary and early middle school mathematics instructors highlight several important themes that can inform other efforts in developing teacher leaders. The authors describe the Arizona Master Teachers of Mathematics (AZ-MTM) program as an example that supports the development…

The improvement of mathematics teaching and learning is a complicated undertaking. It relies on teacher understanding of math curriculum in addition to awareness of how children acquire mathematics concepts. It also depends on teachers' abilities to translate these understandings into learning tasks and instructional routines, as well as the…

In this article Penny Cataldo, a veteran early childhood mathematics teacher, describes her experience as a first time early childhood math coach. In contrast to her role as a teacher, as a math coach she was expected to lend her "expertise" to her fellow early childhood colleagues and help them develop their math practice. After…

The authors elucidate what they saw as three important challenges to overcome along the path to becoming elementary school mathematics teacher leaders: marginal interest in math, low self-confidence, and teaching in isolation. To illustrate how these challenges were mitigated, they focus on the stories of two elementary school teachers--Laura and…

In the course of transitioning from classroom teacher to math instructional coach, Tara Zuspan identified critical themes and lessons she had learned. She focused her efforts on building relationships, partnering with the principal, understanding the process of change, and providing teachers with opportunities to collaborate. These intentional…

This is a story about teachers engaging in mathematics teacher leadership. The focus is on the teachers' learning, and the purpose is to illuminate the process. The setting is a semester-long graduate class called Teacher Leadership in Mathematics Education, and the characters are elementary and middle school teachers. Those in this group…

This article shows how to modify classroom evaluation items to avoid four potential difficulties that limit a teacher's insight into students' mathematical understanding by addressing these issues: (1) poor choice of numbers; (2) implausible or inappropriate contexts; (3) inclusion of graphics that do not help make learning visible; and…

How can teachers engage students in learning essential mathematics? The National Council of Teachers of Mathematics recommends using "contexts that promote problem solving, reasoning, communication, making connections, and designing and analyzing representations" (NCTM 2006, p. 11). Understanding the Process Standards (NCTM 2000) enables teachers…

The National Council of Teachers of Mathematics (NCTM) continues to emphasize the importance of early statistical learning; data analysis and probability was the Council's professional development "Focus of the Year" for 2007-2008. Such a focus is needed, especially given the results of the statistics items from the 2003 NAEP. As Shaughnessy…

Technology has the potential to make complex and abstract mathematical ideas more accessible to students, especially to those who have difficulties with challenging curricular concepts (NCTM 2000, NCTM 2008). What one sometimes forgets is that technology is a tool and, like any tool, can be used productively only in the hands of a skilled…

The National Council of Teachers of Mathematics (NCTM) and the Australian National Curriculum encourage the integration of literacy and numeracy, and "Teaching Children Mathematics" ("TCM") regularly includes articles on incorporating picture books into the mathematics program. Marston has developed a new framework (2010) to assist teachers in…

Asked to complete a decimal-ordering task, several preservice teachers were unable to arrange the values from smallest to largest. Even more surprising to the authors were the number who could solve this task correctly but could not justify their solution by representing each decimal in an area model using a decimal grid. Their preservice teachers…

According to the author, much of their math teaching is through pictures and words. They write number sentences, they draw geometric figures, and they talk about math. The representations they use--numbers, shapes, operators, and mathematics vocabulary--make it possible for them to learn and communicate mathematical ideas. These representations…