In this article, the authors share a variety of ways to formatively assess basic fact fluency. The define fluency, raise some issues related to timed testing, and then share a collection of classroom-tested ideas for authentic fact fluency assessment. This article encourages teachers to try a variety of alternative assessments from this sampling,…

With the implementation of Response to Intervention (RtI) throughout the United States and the strong evidence that validates the use of RtI as a way of supporting struggling students, teachers need ways to understand and reach tier 2 students within their classrooms. One approach to gaining a better understanding of students' misconceptions is…

As beginning teachers start to recognize the complexity of teaching mathematics in elementary school classrooms and how their new vision for teaching mathematics creates new challenges, they experience discomfort--a healthy awareness that much is to be learned. Brousseau (1997) notes that changes in the roles that are implicitly assigned to the…

Developing deep knowledge and understanding of mathematics is a lifelong process, and building the foundation for teachers' development must begin in preservice preparation and continue throughout one's professional life. While teaching mathematics content courses and methods courses, the authors have found that preservice elementary school…

To assess students' developing literacy, teachers regularly listen as individuals read. Similarly, listening to students talk about their mathematical reasoning is a powerful way for teachers to assess students' problem-solving abilities and mathematical understanding. Traditional paper-and-pencil tests have long been the main avenue to evaluate…

To better understand how teachers can capitalize on the power of story problems, Jacobs and Ambrose analyzed teacher-student conversations in problem-solving interviews. They identified eight categories of teacher moves that, when timed properly, were productive in advancing mathematical conversations. (Contains 2 tables.)

Investigates whether student interviews provide teachers with a more detailed, accurate, and complete picture of children's mathematical understanding and whether this knowledge helps teachers improve the way they teach mathematics. Shows how to use student interviews as a guide to further instruction. (KHR)

Describes how teachers can use clinical interviewing techniques to bring out the mathematician in at-risk students. Illustrates typical aspects of the mathematical experiences of low-achieving students, and reveals how the teacher-clinician's use of interviewing strategies uncovered each child's thinking. (ASK)

This article describes the results of a year-long exploration of first graders' tool use. It also showcases instructional activities designed to link tool use with quantitative understanding. (Contains 3 figures.)