The empirical data in this study are from a series of two lessons on measurement implemented in seven classes with 119 six-year-old students in Sweden. Both problem solving and problem posing were shown to be important in early mathematics when students in this study worked on one problem-solving task and one problem-posing task on measurement. As…

This book assists teachers in providing curriculum to identify gifted students of diversity in the early years, without the formal use of traditional measures of ability. Appropriate for small and large group settings, the pedagogical tools and lessons in this book provide young students with teaching and learning experiences designed to uncover…

Productive struggle is an essential part of mathematics instruction that promotes learning with deep understanding. A video scenario is used to provide a glimpse of productive struggle in action and to showcase its characteristics for both students and teachers. Suggestions for supporting productive struggle are provided.

Problem solving is a critical component of academic and social emotional learning. It is a life-long skill. For young children, opportunities to make choices and problem solve lay the foundation for later development of self-determination (Palmer et al., 2012). However, young children may not have the experience or ability to resolve problems…

This article details the development of design principles to support teachers in planning for a Community-Based Mathematical Modeling task with a focus on social justice in the elementary grades. By reflecting on the dilemmas we encountered in the design and enactment of the tasks, we developed five design principles that allowed us to address…

We present an investigation of the infinite sequences of numbers formed by calculating the pairwise averages of three given numbers. The problem has an interesting geometric interpretation related to the sequence of triangles with equal perimeters which tend to an equilateral triangle. Investigative activities of the problem are carried out in…

When professors teach complex topics like trademarks in a business law or legal environment class, the delivery is often too abstract. Textbooks tend to focus on black-letter basics of trademark law, ignoring strategic considerations. Experienced managers know that the strongest trademarks (legally speaking) do not necessarily sell products. These…

Recent intervention research has demonstrated success in raising the achievement level of students who are struggling with mathematics. This practice guide, developed by the What Works Clearinghouse™ (WWC) in conjunction with an expert panel, distills this contemporary mathematics intervention research into six easily comprehensible and practical…

In "Responsive Circles," author JR Entsminger equips educators with practical strategies to address conflict and improve student behavior through restorative practices. The book emphasizes using responsive circles to repair harm, foster empathy, and address student conflict while reducing reliance on traditional punishment. It also…

Research has shown there are algebra concepts elementary teachers can introduce that help prepare elementary students for the eventual transition to algebra (e.g., the relational interpretation of the equal sign). "Early algebra" refers to the use of informal approaches to introduce such concepts to elementary students. "Strip…

This open access book maps the role of challenge-based learning (CBL) in the transformation of higher education pedagogy, towards being sector-informed as well as student-driven. CBL democratises the process of learning by repositioning students as drivers, who are empowered to make decisions on course content, assess needs in the real world and…

Giving young people opportunities to grapple with injustices and complex social problems can inspire them to build a better world. In this bestselling book, two experienced social studies educators lay out their vision for an elementary social studies education that will help young people find value in learning about the world as they consider how…

Family-school collaboration has proven benefits for students' social, emotional, behavioral, and academic functioning, yet many schools struggle to create and sustain effective partnerships with families. This timely resource provides an equity-focused, culturally responsive framework for embedding family collaboration within multi-tiered systems…

Mathematics assessments should allow all students opportunities to demonstrate their knowledge and skills as problem solvers. Looking at textbook word problems, the authors share a process for revising them using Universal Design for Learning (UDL). Outlined in detail here are problems for kindergarten, grades 5 and 7, and high school (algebra).

The placement of children with disabilities in schools has been a long-standing discussion in education and human rights forums, including the United Nations (UNESCO, 1994, 2023). Education for all children is a key goal highlighted in the United Nations' Sustainable Development Goals (SDGs). In support of ensuring pupils can learn alongside their…