Education has always been and will continue to be the key that unlocks doors of opportunity and success for all. Our national test scores, over the last several decades, reveal that a majority of America's students are failing to meet academic benchmarks and standards, thus limiting the possibilities for opportunity. Mathematics, in particular,…

Developing and supporting understanding of the meaning of multiplication and multiplicative relationships in students with mathematics learning disabilities requires carefully designed instruction that emphasizes strategic representation use. This article discusses three ways in which teachers can incorporate multiple representations within…

This book provides an introduction to what it means to be numerate, and how numeracy can best be developed and nurtured in children and in adults. It also presents a cohesive coverage of numeracy development from early childhood to adulthood. This book draws on international research and practice to provide a comprehensive overview on the topic.…

The ideas of computational thinking (CT) and computer science (CS) are increasingly being integrated into K-12 education. Yet, insufficient attention exists regarding access and exposure of CT and CS for students with disabilities. In this Technology in Action, the authors sought to present an argument--as well as actual activities--for teachers…

Developing and supporting understanding of the meaning of multiplication and multiplicative relationships in students with mathematics learning disabilities requires carefully designed instruction that emphasizes strategic representation use. This article discusses three ways in which teachers can incorporate multiple representations within…

The mechanisms of dissemination of the counting frames in the teaching of mathematics in Spain during the nineteenth century are studied. José Mariano Vallejo and Pablo Montesino proposed them in order to facilitate an arithmetic initiation based on intuition, following Pestalozzi's proposals. The diffusion channels considered were pedagogical…

Machine learning and other artificial intelligence (AI) technologies are predicted to play a transformative role in primary education, where these technologies for automation and personalization are now being introduced to classroom instruction. This article explores the rationales and practices by which machine learning and AI are emerging in…

Mathematics is a core component of cognition. Unfortunately, most young children and teachers cannot access research-based early childhood mathematics resources. Building on a quarter-century of research, we are developing and evaluating an innovative, integrated, intelligent, and interactive system of technologies based on empirically validated…

The math curriculum of the Montessori system of education for children ages 3-12 is distinctive, incorporating multiple manipulatives and educational practices which have theoretical and empirical support in research. However, studies investigating the math achievement and learning of Montessori students and alumni have not consistently found…

The math curriculum of the Montessori system of education for children ages 3-12 is distinctive, incorporating multiple manipulatives and educational practices which have theoretical and empirical support in research. However, studies investigating the math achievement and learning of Montessori students and alumni have not consistently found…

In contemporary society, students' analytical thinking and reasoning skills are crucial for their future development. The fourth grade (ages 9-10) is a critical stage for cultivating higher-level cognitive skills in students. Mathematics plays a significant role during this period, serving as a fundamental tool for fostering students' analytical…

"Elementary and Middle School Mathematics" illustrates how children in PreK to 8th grade learn math, and then shows the most effective methods of teaching math using problem-based activities. Examples of real student work and common challenges help you visualize developmentally appropriate mathematics instruction and assessment that…

We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students' misconceptions. But what if instead of focusing on what students don't know or haven't mastered, we identify their mathematical strengths and build…

The use of technology affords opportunities for prospective teachers to engage in actions that are proximal to the work of teaching. The authors designed a task in which prospective teachers (n = 95) at four institutions created an animation or depiction of a classroom scenario using one of two technology platforms: GoAnimate or…

The aim of this study is to examine the application process of preservice primary school teachers in primary schools within the scope of teaching practice course. In addition, the aim of this study is to evaluate the preservice teachers' mathematics teaching competencies by the practice teachers in their schools. For the purpose of the study,…