Reading outcomes at a national level have remained stagnant for more than two decades. One reason why is that the field has struggled with how to address poor reading comprehension when reading words is not the problem. Another is that limited insight into the causes of poor comprehension performance is offered by traditional reading comprehension…

Let's say you are a Grades 3-5 teacher in search of an activity sheet on different fraction notations. A search in May 2022 on the popular resources sharing site TeachersPayTeachers (TpT) yielded 2,832 results, 105 of which were free. With so many options, how would you go about choosing a resource for your students? What would factor into your…

The purpose of this article is to share how one teacher implemented exploratory writing within a mathematics lesson to support her third graders in making sense of fractions and communicating their mathematical ideas. The author defines exploratory writing, then describes the teacher's lesson while also presenting a general overview about how to…

To meet the growth in learner diversity in today's classroom, a new paradigm for improving the precision and accuracy of "personalization" is critical to address the needs of students who are held back by traditional pathways designed for the mythical "average" learner. In response to this challenge, Digital Promise Global has…

Because reading is not a natural process like language, young learners must be taught to read. Knowledge about how the reading brain develops has critical implications for understanding which teaching methods to use and helps reconceptualize previous debates. In this excerpt from "Reader Come Home: The Reading Brain in a Digital World",…

Authentic, "messy data" contain variability that comes from many sources, such as natural variation in nature, chance occurrences during research, and human error. It is this messiness that both deters potential users of authentic data and gives data the power to create unique learning opportunities that reveal the nature of science…

Anthropological approaches to studying the contextual specificity of mathematical thought and practice in schools can productively inform descriptions and analyses of mathematical practices within and across different teaching and learning contexts. In this paper I argue for an anthropological methodological orientation that takes into…

As students progress from working with whole numbers to working with integers, they must wrestle with the big ideas of number values and order. Using objects to show positive quantities is easy, but no physical negative quantities exist. Therefore, when talking about integers, the author refers to number values instead of number quantities. The…

The Common Core State Standards for Mathematics (CCSSI 2010) expect second grade students to "fluently add and subtract within 20 using mental strategies" (2.OA.B.2). Most children begin with number word sequences and counting approximations and then develop greater skill with counting. But do all teachers really understand how this…

In 2008, the research center "Individual Development and Adaptive Education" was constituted by the Goethe University, the German Institute for International Educational Research, and the Sigmund Freud Institute, all located in Frankfurt am Main, Germany (http://www.idea-frankfurt.eu). The research of the center focuses on the…

Equivalence is mostly associated with the strand of Number and Algebra and is fundamental in both of the substrands. Equivalence is considered a key and foundational concept of algebra, and whereas an assumption might be made that equivalence is a relatively "easy" concept; studies have shown that when asked to balance an equation such…

Early elementary school students are expected to solve twelve distinct types of word problems. A math researcher and two teachers pose a structure for thinking about one problem type that has not been studied as closely as the other eleven. In this article, the authors share some of their discoveries with regard to the variety of…

There is a growing body of research that provides evidence that today's late adolescents and college-age students have been affected in many ways, some adversely, by growing up in the ever-increasing technology-driven world--one in which they have been living, playing and communicating. The purpose of this article is to present recent research…

In this "FastFacts," a state's Department of Education requests information from the Center on Enhancing Early Learning Outcomes (CEELO) on how the research defines skills in social-emotional development, approaches to learning, and executive function, to inform planned revisions to the early childhood indicators of progress for children…

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…