Reasoning is the process of thinking used to make claims and reach conclusions. It is among the first skills that should be taught to students in mathematics lessons and contributes to the creation and development of mathematical foundations. This study identifies evolution and trends in research on mathematical reasoning over the last four…

Students and teachers alike face a dilemma: Why think deeply when we can just take a shortcut by googling something? Why read an article when we can learn from a social media headline? If, as educators, we want to encourage our students to value thoughtfulness and to embrace the effort it takes to reach deep understandings, we must model that…

"Lollipop Logic" employs visual and pictorial clues to introduce and reinforce high-powered thinking for pre-readers. Seven different thinking skills--sequences, relationships, analogies, deduction, pattern decoding, inference, and critical analysis--are presented in a format designed to appeal to gifted young learners. This…

Demonstrating higher-order thinking skills is crucial for thriving in a volatile, uncertain, complex, and ambiguous (VUCA) environment. In science education, inquiry-based learning has increasingly been recognized as a potent approach to stimulate students' higher-order thinking skills. While prior research has shown evidence of its positive…

This study investigates the embodied, symbolic, and formal reasoning of two fourth-year university students while exploring geometric reasoning about the Cauchy-Riemann equations with the aid of "Geometer's Sketchpad (GSP)." These students participated in a teaching activity designed to encourage shifts between embodied, symbolic, and…

Boost young children's problem-solving skills and set them up for long-term success with the second edition of this practical guidebook! Enhanced with new lessons and timely topics--including equity and the use of makerspaces--this book will help you get all children ready for kindergarten by teaching them basic practices of engineering design and…

This research centers on implementing Quantitative Reasoning (QR) within a differential equations course at an urban public community college. As a participant in the Numeracy Infusion for College Educators (NICE) faculty development program, I sought to integrate QR skills into my curriculum. Students in the course were introduced to QR goals…

Interactive digital technologies are playing an increasingly important part in education for enhancing collaborative learning processes and improving engagement. Social annotation (SA) tools and collaborative platforms are an innovative way to involve students to give and take feedback, annotate, and brainstorm on complex topics in science,…

Tangible programming tools (TPTs) are promising teaching aids in programming courses due to their interactivity and ability to enhance early childhood students' computational thinking, spatial reasoning, and executive function skills. However, it remains unclear whether TPTs support these skills simultaneously. This study examines the impact of…

Far too often, our students attain only a superficial level of knowledge that fails to prepare them for deeper challenges in school and beyond. In "Teaching for Deeper Learning," renowned educators and best-selling authors Jay McTighe and Harvey F. Silver propose a solution: teaching students to make meaning for themselves. Contending…

Transform mathematics instruction with the comprehensive mathematical competencies (CMC) framework--a research-based model that integrates seven essential competencies: conceptual and procedural integration, problem solving, logical reasoning, communication, tool use, pattern recognition, and student engagement. Through practical classroom…

This resource has been developed for pre-K-20 educators in order to help students use primary sources to go beyond simple acquisition of content knowledge and rote memorization. The procedures and approaches outlined in this book are designed to help students use primary sources in discipline- and inquiry-based ways to develop and enhance cultural…

Aim/Purpose: This study aimed to develop a model for using social media content to promote 3D thinking of sustainability among students in integrated Mathematics, Language, Arts, and Technology (MLAT) classrooms. Background: Social media is one of the most relevant platforms among students of the 21st century to the extent that connecting it to…

Game-based learning offers a compelling prospect for innovative teaching and student engagement, but popular examples often involve either complex, time-consuming systems that invite high-order thinking, or simpler, quick versions that reward memorization. Far less common are games that fit low-stakes activities (such as concept review) but…

Among teachers, there is a cloud of rumors, confusion, and fear surrounding the rise of artificial intelligence. "AI and the Future of Education" is a timely response to this general state of panic, showing you that AI is a tool to leverage, not a threat to teaching and learning. By understanding what AI is, what it does, and how it can…