Introduction: In this paper, we present how seventh-grade students become aware of rational numbers during mathematics instruction through the social process of objectification when comparing two magnitudes. Methods: Theoretical elements of the Theory of Objectification and the Onto-Semiotic Approach to Mathematical Instruction and Cognition guide…

The aim of this study is to develop a descriptive framework for teacher educators to assist teachers to plan and realize modelling implementations in their classrooms and for researchers to describe and analyse how modelling is implemented. The planning process and implementations of 12 middle and high school mathematics teachers who conducted…

This quantitative descriptive study, a collaborative effort of the research team and 316 Alabama public high school leaders is significant as it identifies the intervention strategies used in Alabama's public high schools and the school principals' perceived effectiveness of these strategies in improving student performance on the math portion of…

Teachers are implementing flipped instruction in an increasing number of mathematics classes but the research base is not yet well developed on this topic. Many studies of flipped instruction in mathematics have involved a small number of classes utilizing flipped instruction being compared to classes with non-flipped instruction, but this study…

Open Educational Resources (OER) was first introduced in universities as a cost-saving option to traditional textbooks. In 2015, the U.S. Department of Education announced the #GoOpen initiative, challenging school districts nationwide to convert at least one course from traditional curriculum resources to OER. Existing research has focused on the…

Math performance continues to be an important focus for improvement. The most recent National Report Card in the U.S. suggested student math scores declined in the past two years possibly due to COVID-19 pandemic and related school closures. We report on the implementation of a math homework program that leverages AI-based one-to-one technology,…

Curriculum change affords middle leaders opportunities for pedagogical and planning renewal. This paper reports case studies of two schools engaged in preparing for implementation of Version 9 of the Australian Curriculum: Mathematics. Drawing on interview data from a middle leader from each school, Bacchi's question, "What's the problem…

University Teaching Experience for Mathematics Prospective Teachers (UTEMPT), an NSF-funded collaborative project, has implemented an innovative version of early field experiences in order to provide preservice mathematics teachers an opportunity to make a meaningful connection between methods-course-content and teaching practices in a college…

Math Innovation Zones (MIZ) is a strategic grant initiative first introduced by the Texas Education Agency (TEA) in 2018. A novel state-initiative aimed at increasing PreK - 8th grade math proficiency, the highly competitive grant program provides funding to both Texas school districts and open enrollment charter schools using allocations through…

This mixed methods experimental study examined the impacts of the Early College High School model on students' college readiness in mathematics measured by their success in college preparatory mathematics courses in the 9th through 11th grades, and disaggregated for academically prepared and underprepared students. This study looked at the…

Co-teaching is a widely used service delivery model for special education with significant variability in implementation. In this exploratory study, we examine a three-element model for instruction in co-teaching that is meant to reduce this variability and evaluate its implementation by three secondary co-teaching teams. Changes in teacher…

Powerful learning environments (PLEs) are based on a social constructivist theory of learning, providing a stimulating, resource-rich and inquiry-supportive environment for student self-regulated learning. Fidelity of implementation (FOI) for such PLEs is dependent on several factors, the most critical factor being the teacher's belief system,…

Purpose: In intelligent tutoring systems (ITS), learners were often granted limited authority and are forced to obey the decision of the system which might not satisfy their needs. Failure to grant learners sufficient autonomy could yield unexpected effects that hinder learning, including undermining learners' motivation, priming learners'…

Teachers' support in implementing the standards for mathematical practice has been an area of study since the implementation of the Common Core state standards initiative. The research problem was a gap in the literature regarding what teachers perceive as the supports needed to implement the Common Core standards for mathematical practice in the…

Use of online credit recovery is a growing trend across the country, with the hope that expanding credit recovery options through online courses will help students get back on track toward graduation (e.g., Atkins, Brown, & Hammond, 2007; Gemin, Pape, Vashaw, & Watson, 2015). But expanded use of online credit recovery for high school…