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,…

The learning of "basic facts"--single-digit combinations for addition, subtraction, multiplication, and division--has long been a focus of elementary school mathematics. Many people remember completing endless worksheets, timed tests, and flash card drills as they attempted to "master" their basic facts as children. However,…

The Leading for Mathematical Proficiency (LMP) Framework (Bay-Williams et al.) has three components: (1) The Standards for Mathematical Practice; (2) Shifts in classroom practice; and (3) Teaching skills. This article briefly describes each component of the LMP framework and then focuses more in depth on the second component, the shifts in…

Providing appropriate language support is important for all students and essential to the success of English Language Learners (ELLs), struggling readers, and students with learning disabilities. In a mathematics classroom, the support includes the ongoing development of everyday vocabulary--such as names of fruit and actions such as skipping--and…

In commemoration of the 100th volume of the "Mathematics Teacher," the Editorial Panel of "Teaching Children Mathematics" invited the author to read and reflect on an article published in "MT" in 1912. Her article compares the current approach to number and algebra content to that presented by Shipley. In addition, the article discusses the change…

Shares the results of some of the algebraic-thinking pattern problems presented in "Principles and Standards for School Mathematics." (KHR)