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 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…

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…

The purpose of this study was to understand the implementation and impact of the New Teacher Center's (NTC) strategies for scaling its validated induction model to 301 schools in five school districts serving high proportions of students of color and students from low-income households. SRI's evaluation of the implementation and impact of NTC's i3…

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 multi-faceted…

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,…

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…

Planning lessons and in-the-moment improvising during enactment of the plan are two central activities inherent to the practice of teaching. To what extent are these pursuits conflicting or inconsistent? What are the characteristics of improvisation during teaching and what are teachers' possible stances on it? We discuss these questions based on…

This paper examined leadership practices which supported the diffusion of an innovation in a cluster of schools in Singapore, through the lenses of complexity leadership theory (CLT) and ecological leadership. The approach is a qualitative case study, with the unit of analysis bounded by the innovation and a cluster of schools involved in the…

Multitiered systems of support (MTSS) are composed of tiered prevention and intervention in multiple domains. MTSS is often referred to as an umbrella framework that includes both a multi-tiered approach to proactive school-wide behavior (e.g., Schoolwide Positive Behavior Interventions and Supports) and academic supports in reading, writing,…