This qualitative exploratory case study delves into learners' understanding of differentiation through the first principle and power rule. The study adopted the action, process, object, and schema (APOS) theory as a lens to track learners' understanding of these concepts using the activities, classroom discussion, and exercise (ACE) teaching…

U.S. middle school teachers have struggled to meet the instructional needs of students in the area of mathematics. Teachers' approaches to assessment and instructional strategies remain understudied; such knowledge could help educational leaders to devise strategies to boost student achievement. The purpose of this qualitative study was to examine…

Differentiated Instruction (DI) is a philosophical and pedagogical approach supporting diverse student engagement in learning, but limited research exists in DI in senior-secondary mathematics. Using semi-structured interviews, the perceived use of DI of two senior secondary mathematics teachers was investigated. One of three themes is discussed…

The focus of this research study was to explore math interventions for students with emotional behavioral disorders in secondary settings. The problem that was addressed in this qualitative, descriptive study was that students with emotional behavioral disorders are not receiving effective math interventions in secondary math classrooms, therefore…

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…

Intelligent tutoring systems (ITSs) aim to deliver personalized learning support to each learner, aligning with the educational aspiration of many countries, including China. ITSs' personalized support is mainly achieved by providing individual prompts to learners when they encounter difficulties in problem-solving. The guiding principles and…

Purpose: This study aimed to develop an instructional material in learning pre-calculus that can be used by the Grade 10 students at a school in Cauayan City, Philippines to improve their competency in Mathematics, particularly in Pre-Calculus. Method: The study employed a quasi-experimental research design consisting of two groups, 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…

Scholars and practitioners have called for personalized and widely accessible professional development (PD) for teachers. Yet, a long-standing tension between customizing support and increasing access to such support has hindered the scale-up of high-quality PD for individual teachers. This study addresses this challenge by developing a…

Mastery learning -- the process by which students must demonstrate proficiency with a single topic before moving on -- is well recognized as one of the best ways to learn, yet many teachers struggle or remain unsure about how to implement it into a classroom setting. This study leverages two field experiments to test the efficacy of a program…

Algebra is critical in shaping future mathematics success and is integral to the K-12 curriculum. Despite its inclusion, a common challenge arises as students' progress to higher grades without a solid foundation, resulting in challenging learning experiences. This action research study focuses on the algebraic learning experience of a Grade 7…

All students deserve access to a rich and meaningful math curriculum. This book guides middle and high school teachers toward providing all learners -- including neurodiverse students -- with the support necessary to engage in rewarding math content. Students who receive special education services often experience a limited curriculum through…

Prior studies identified effective, but mainly non-digital, homework aids. This research involved 18 middle school students in a lo-fi prototyping study to integrate traditional homework support tools with intelligent tutoring systems (ITS), leveraging rich log data for personalized learning. Feature investigations in standardized diaries, goal…