This paper reports on a novel corequisite design and implementation for College Algebra at Florida International University. The corequisite course uses online, just-in-time, prerequisite assignments delivered on an open-educational platform. Students get help from near-peer learning assistants inside a math emporium environment. The course…

This article provides teachers with a toolkit for assessing students in the context of data-based individualization (DBI) in mathematics. Assessing students is a critical component of DBI because it provides teachers with information about what they may need to modify in their instructional programs. In this article, we provide teachers with…

Throughout the learning process, English learners should meaningfully engage with both their peers and the mathematics. How do mathematics teachers provide the "just-right" supports for English learners to insure this happens? What scaffolds are best? How do teachers make adjustments to these scaffolds based on the needs of the…

Many teachers reported improved skills in using technology as a direct result of teaching virtually during the pandemic (Bushweller, 2020). The authors wondered which uses of technology would continue as teachers transitioned back into face-to-face classrooms. Recognizing that mere incorporation of technology into instruction does not guarantee…

Data-based individualization (DBI) is a framework that allows educators to make timely and informed decisions about student progress in academics or behavior. In this article, we focus on the DBI framework as applied to math intervention within a tiered support model for students experiencing math difficulty. We review how DBI starts with an…

Teachers have long struggled with the tension between ensuring a rigorous education for all their students and the reality that students arrive at the start of a school year with vastly different skills and conceptual understandings. The tension can be even more acute in math, which relies heavily on students mastering foundational concepts in…

When the pandemic forced schools across the country to close their doors in March 2020, many district and school leaders worked quickly to plan for and address students' "unfinished learning." How would they support students who had been exposed to content, but had not yet had a chance to master it? Research supports two ways schools can…

The author presented a math task asking all his 3rd graders to find ways to count seven sets of eight donuts, arranged in grids of two-by-four. He hoped this task would lead students toward fluency in single-digit multiplication, albeit in a manner that was inherently personalized learning, with students choosing their own methods to reach an…

Generalizing patterns is an important feature of algebraic reasoning that is accessible to students across grade-levels because it connects their numerical reasoning to algebraic reasoning. In this article, the authors describe how teachers can use the game Crack the Code to introduce generalizing to their students or can extend students'…

The mathematics performance of students identified with emotional and behavioral disorders (EBD) is poor. Students identified with EBD require individualized instruction aligned with their unique academic and behavioral needs. One way that teachers can efficiently identify core mathematics deficits and provide individualized instruction is through…

When discussing mobile learning (or M-Learning), many educators tend to focus on the affordances of the technology. In this article, the authors feature the M-Learning Framework as a way to view the effective use of mobile devices. The framework includes three key features: (1) authenticity; (2) personalization; and (3) collaboration. These…

This article describes an example of differentiating instruction (DI) involving middle school students from a five-year project funded by the National Science Foundation. In one phase of the project, a classroom teacher and the research team differentiated instruction for a class of 18 seventh-grade students during a 26-day unit on proportional…

Artificial intelligence (AI) has transformative potential to support the education of students with moderate to severe intellectual disabilities (M/SID) and their teachers. Although research and evidence-based practices (EBPs) are integral to fostering positive student learning outcomes, educators face challenges in effectively implementing these…

In this paper we review selected significant developments in the use of digital technology in the teaching and learning of mathematics over the last five years. We focus on a number of important topics in this field, including the evolvement of STEAM and critical making as well as the process of redefining learning spaces in the transformation of…

The Program for International Assessment of Adult Competencies, better known as PIAAC, developed a numeracy assessment framework that was used internationally to assess adults' numeracy skills. The assessment gauged adults' (aged 16-65 years) numeracy skills across a full range, from adults with very low levels of numeracy to college level math…