While coaching is a well-documented form of professional development to support teachers' instructional practices in mathematics, limited research exists on how coaches can support teachers in differentiating their mathematics instruction. Hence, as part of this retrospective case study, we explored how one instructional coach leveraged a coaching…

This study employed student choice and tiered worksheets as strategies of differentiated instruction on Quadratic Equations in addressing students' non-compliance with assignments in a flipped classroom. In each lesson, students choose among the instructional materials with guide questions to assist them in focusing on key areas during the…

Three iterative, 18-episode design experiments were conducted after school with groups of 6-9 middle school students to understand how to differentiate mathematics instruction. Prior research on differentiating instruction (DI) and hypothetical learning trajectories guided the instruction. As the experiments proceeded, this definition of DI…

In order to transform mathematics classrooms for students with disabilities, teachers must design based on learners at the margins. Universal Design for Learning (UDL) is a framework built on these principles (Meyer et al., 2014), but lacks a robust process through which educators can reimagine mathematics. We theorize that when educators merge…

This paper looks at the popularity of after-school mathematics by focusing on the Kumon and Russian School of Mathematics models. In 1954, Toru Kumon, a high school math teacher in Japan, designed a series of math worksheets to help improve the test scores of his son Takeshi, a second grader. Toru's goal was to teach Takeshi how to learn…

This study investigated personalization as an innovation that can be used to impact college mathematics achievement. In the reported study, similar tasks using personalized data and teacher-selected data were implemented in courses in both 4-year and 2-year colleges. Pre- and posttests and student work were analyzed to examine the impact of…

The issue of slow learners has remained a concern for educators due to the burdens on school systems and the social and academic consequences to the learners themselves. An understanding of learning behaviours and cognitive characteristics of slow learners together with their social and educational environment facilitates appropriate intervention…

Innovation in instructional technology has contributed to the rapid implementation of technology-driven instructional platforms, particularly in developmental math coursework. Prior research has shown that instructional environment and classroom experience influence student development and outcomes. Consequently, when courses transition to…

In this study, two teacher educators, one special education faculty and one mathematics education faculty, examined ways to infuse educational theory into their practice to develop preservice teachers' ability to meet the demands of the 21st century classroom. The study took place at an urban university in the southeastern United States where the…

School reform efforts are reflected in the Common Core State Standards (CCSS) and increasingly impact potential for differentiation of instruction, which is critical in effectively educating students with varying achievement and learning needs. Although CCSS were developed to establish a ubiquitous foundation of educational expectations by grade…

Pathblazer is a supplemental, online intervention program that helps struggling learners in grades K-8 achieve grade-level proficiency in mathematics and reading. It offers students individualized learning progression paths with fun, motivating content that addresses skill and concept gaps. Using existing student data or results from a screener,…

In China, the "2001 Kindergarten Education Guidelines (Trial)", or "New Outline", delineates what constitutes high-quality, developmentally appropriate practices in all early childhood education curriculum domains, including mathematics. The "New Outline" is known for advocating a child-centered, play-based approach…

This study investigated whether a four-week intensive professional development workshop for math teachers was effective in improving their knowledge and skills of mathematics concepts and technology, as well as improving their attitudes toward integrating technology into teaching math. Instruments for data collection included a pre- and post- test…

The purpose of this action research project report was to increase student motivation and engagement. There seemed to be an increasing disconnect between student potential and performance, especially among gifted math and beginning music students. Two teacher researchers carried out this research with 25 fifth-grade students at two different sites…

College students enrolling in the calculus sequence have a wide variance in their preparation and abilities, yet they are usually taught from the same lecture. We describe another pedagogical model of Individualized Additional Instruction (IAI) that assesses each student frequently and prescribes further instruction and homework based on the…