Author Pam Harris argues that teaching real math--math that is free of distortions--will reach more students more effectively and result in deeper understanding and longer retention. This book is about teaching undistorted math using the kinds of mental reasoning that mathematicians do. Memorization tricks and algorithms meant to make math…

Existing research has revealed key factors influencing mathematical flexibility, defined as the capacity to understand, generate, and apply a variety of strategies in solving mathematical problems. However, there is currently a lack of an integrated theoretical framework to systematically consolidate various sources of individual differences in…

Strategies are proposed that promote use of an Integrated Applied Mathematics (IAM) approach to enhance teaching of advanced problem-solving and analysis skills. Three scenarios of 1-dimensional transport processes are presented that support using Error Function analyses when considering short time/small penetration depths in finite geometries.…

Purpose: This study aims to examine the perceptions of students about learning science and physics using the engineering design process (EDP). Design/methodology/approach: The study employed a mixed-methods research design: The quantitative session features a pre-post-test control group study. In the qualitative aspect, the study conducted…

How can we prepare students for a world where data-driven decision-making shapes nearly every aspect of life? "Data Minds: How Today's Teachers Can Prepare Students for Tomorrow's World" helps K-8 educators infuse data literacy into everyday lessons across disciplines, without overwhelming existing curricula. Data literacy is an ability…

The authors wondered if there was a way to support their reluctant Grades 4, 5, and 6 students in contributing their starting points and strategies and advancing their collective knowledge. They wanted to ensure that the students had the space to develop and take ownership of the strategies they produced through a visual representation of ideas…

Many teaching strategies exist to develop critical thinking with students. Art students engage with critical thinking in a "Connected Art" workshop, implemented in three diverse Higher Education (HE) learning environments. Participants are interdisciplinary adult learners in the UK, Germany and Spain. Using joint practice development,…

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…

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…

Students learn mathematics best when they actively explore problems, connect solution methods, and synthesize ideas at just the right moment. Yet in many classrooms, this balance tips too quickly toward telling students how to solve problems, leaving less room for them to do the real mathematical work. "Teaching Mathematics Through Problem…

Seeds of Algebraic Thinking comes from the Knowledge in Pieces (KiP) perspective of learning. KiP is a systems approach to learning that stems from the constructivist idea that people learn by building on prior knowledge. As people experience the world, they acquire small, sub-conceptual knowledge elements. When people engage in a particular…

This systematic review of reviews is an exploratory study that aims to synthesize the myriad of reviews about Problem-Based Learning (PBL) to provide a consensus regarding the definition, components, effectiveness, and most common areas of application of PBL. This will provide educators and policymakers with a robust framework to enhance…

Mastering mathematics is often challenging for many students; however, the rise of artificial intelligence (AI) offers numerous advantages, including enhanced data analysis, automated feedback, and the potential for creating more interactive and engaging learning environments. Despite these benefits, there is a need for comprehensive reviews that…

In "Equity Learning Communities," Daniel Reinholz recommends sustained, collaborative professional development group meetings as a launchpad for higher education instructors to enhance classroom equity and inclusivity. In Reinholz's approach, community members make use of debrief sessions, collaborative problem solving, and empirical…

Students with disabilities often face significant challenges in developing mathematical problem-solving skills, which are critical for academic success. Traditional problem-solving interventions have primarily focused on skill acquisition, leading to issues with knowledge application in real-world contexts. Enhanced Anchored Instruction (EAI)…