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…

Integrating digital pedagogy in mathematics can change teaching and learning. Globally, education institutions adopted digital pedagogy during the coronavirus (COVID-19) pandemic. However, mathematics teachers in rural schools encounter many challenges when embracing digital pedagogy. This article focuses on a study of mathematics teachers'…

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…

This study aimed to investigate the impact of Learning Trajectories (LT[superscript 2])-based games on the mathematical learning of four-year-old kindergarteners. The research employed the ADDIE paradigm, incorporating a pre-test, post-test, and a control group experimental design. The sample group comprised 30 children--15 in the experimental…

In 2016, Illinois initiated a statewide transitional math program to support students to be academically ready in college-level math before graduating from high school. This qualitative study focuses on the perspective of community college faculty and administrators on the statewide implementation of transitional math programs. We find that a…

Elementary teachers are underprepared to teach mathematics, and there is a lack of field-based support for mathematics-specific pedagogies in the elementary grades. To address this theory to practice gap, we developed an innovative model of fieldwork that draws on the expertise of in-service teachers (elementary mathematics specialists [EMSs]) who…

Information about program implementation provides critical information for the interpretation of results from randomized trials. The present study provides an evaluation of the implementation of a Cognitively Guided Instruction mathematics teacher professional development as part of a large scale randomized controlled trial with teachers in first-…

Assessing implementation allows for a better understanding of an intervention's effects and the mechanisms that influence its impact. Two main areas of implementation are: (1) the quality with which an intervention is delivered; and (2) instructors' adherence to the programmed intervention. The current study used data from a kindergarten…

Alternative grading methods, such as standards-based grading, provide students multiple opportunities to demonstrate their understanding of the learning outcomes in a course. These grading methods allow for more flexibility and help promote a growth mindset by embracing constructive failure for students. Implementation of these alternative grading…

In intervention studies, high rates of "implementation fidelity" are important markers of a study's success; however, the definition of implementation fidelity is both complex and dynamic. In this synthesis, we examined the dimensions of implementation fidelity measured and reported in 99 studies in which researchers utilized a…

Evidenced-based mathematics interventions are critical for supporting students with mathematics difficulties. In research and practice, collecting implementation fidelity is important for ensuring that all the core components of the intervention are implemented as designed. Historically, implementation fidelity has been defined as multifaceted,…

Since its first notable appearance in the "Second Handbook of Research on Mathematics Teaching and Learning," the phrase productive struggle has garnered support from a few, yet very influential, educational researchers. However, since the phrase was popularized by Hiroko Warshauer in 2011, examinations of the productive struggle have…

The aim of this study was to develop, implement, and evaluate an intervention program focusing on developing Grade 5 and 6 students' functional thinking. The innovative aspect lies in addressing simultaneously various aspects of function--input--output, covariation, correspondence, and object--in terms of manipulating tasks that involve functional…

Many studies have examined representational abilities, but few have explored the use of lesson study activities based on didactical design research, which integrated STEM to solve problems in higher education. This research aimed to develop a STEM-based blended lecture design that optimized the representation abilities of prospective mathematics…