Often mathematical instruction for students with disabilities, especially those with learning disabilities, includes an overabundance of instruction on mathematical computation and does not include high-quality instruction on mathematical reasoning and problem solving. In fact, it is a common misconception that students with learning disabilities…

In this article, Libby reflects on her experiences as a teacher, wife and mother while working at a school in Far North Queensland. In sharing these aspects of her identity, she effectively demonstrated one of the ways in which non-Indigenous educators can begin to connect with and address the learning needs of Indigenous students.

Project-based learning (PBL) in the science classroom provides an opportunity for students to investigate socioscientific issues that are current, authentic, and relevant. In a typical PBL unit, the teacher designs a narrative plan and acts as a facilitator who helps gather and organize student ideas. The framework of the Next Generation Science…

"Mathematical Thinking: From Assessment Items to Challenging Tasks" is a compilation of 36 problem-based lessons that encourage students to engage in productive struggle and deep thinking. Its 36 full-length lessons for grades 2-8 are each inspired by an actual test item from the National Assessment of Educational Progress (NAEP).…

This report follows up on the book "Leapfrogging Inequality: Remaking Education to Help Young People Thrive," published in 2018 by the Center for Universal Education (CUE) at the Brookings Institution. The book argued the importance of education leapfrogging--creating transformative shifts rather than incremental evolution by harnessing…

There have been many recent policy and program changes in K-12 education across the United States, particularly in area of mathematics. Changes, such as the Common Core State Standards for Mathematics and standards-aligned year-end summative assessments, require an increase in student-centered, cognitively demanding activities in the classroom.…

Students who demonstrate conduct problems pose ongoing challenges for teachers. Therefore, prevention programs that all families and teachers of young children can use to promote social and emotional learning, emotion regulation, and problem solving are of great interest to researchers and practitioners alike. This article describes the Incredible…

Sometimes teachers just have to go for it. Breathe and expect the unexpected. A leap of faith can be quite liberating, especially for a new Headteacher of a "Requires Improvement" school. Watching staff and children work tirelessly to improve, the author realised that teachers had to be risk takers, problem-solvers and learners, just as…

Data-driven decision making is central to improving success of children. Actualizing the use of data is challenging when addressing the social, emotional, and behavioral needs of children across different types of early childhood programs (i.e., early childhood special education, early childhood family education, Head Start, and childcare).…

To help middle school students make better sense of decimals and fraction, the author and an eighth-grade math teacher worked on a 90-minute lesson that focused on representing repeating decimals as fractions. They embedded experimentations and explorations using technology and calculators to help promote students' intuitive and conceptual…

Success in math is important to all students; it provides them with college and career options in the fields of science, technology, engineering, and mathematics. In the middle grades, students build upon the critical skills taught in elementary school and prepare for entry into algebra, which is considered a gateway to later achievement in school…

Many classical problems in elementary calculus use Euclidean geometry. This article takes such a problem and solves it in hyperbolic and in spherical geometry instead. The solution requires only the ability to compute distances and intersections of points in these geometries. The dramatically different results we obtain illustrate the effect…

The Bernoulli brothers, Jacob and Johann, and Leibniz: Any of these might have been first to solve what is called the Bernoulli differential equation. We explore their ideas and the chronology of their work, finding out, among other things, that variation of parameters was used in 1697, 78 years before 1775, when Lagrange introduced it in general.

Although the theory that creativity requires blind variation and selective retention (BVSR) is now more than a half-century old, only recently has BVSR theory undergone appreciable conceptual development, including formal three-parameter definitions of both creativity and sightedness. In this article, these new developments are for the first time…

Even mentioning data analysis puts many educators on edge; they fear that in data discussions, their performance will be judged. And, the authors note, it's a human trait to look for the source of a problem in the behavior of people involved rather than the system surrounding those people--what some call the Fundamental Attribution Error. When…