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…

Helping students learn how to interpret themes in text can be, without a doubt, challenging. Students benefit from knowing different aspects/textual elements within stories to look for when constructing themes. In this teaching and learning guide, we share seven concrete ways to help students anchor their theme thinking. These seven elements can…

Biological interactions and associations underlie life's processes at every level of organization. Here, we present a classroom activity that allows students to visualize and understand the connections within almost any biological system, from cell functions to ecological relationships. We recommend that instructors implement this activity to…

In this paper we propose a universal curricular framework that is intended to aid K-6 schoolteachers holistically and humanistically developing their students' computational thinking (CT) skills (e.g. algorithmic thinking, abstraction, decomposition, generalization, patterns recognition, evaluation, and logical thinking). This framework, which can…

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…

As more chemical engineering students enter careers beyond the field, students need more guidance in applying their problem solving skills to a challenges beyond the plant or refinery. Since Fall 2019, we have implemented case-based learning across our Material and Energy Balances course to help students practice chemical engineering thinking as a…

Students at the elementary level should have opportunities to critique the world through mathematics and to see themselves as capable doers of mathematics. The lesson described in this article prompted students to consider how to use mathematics to organize an emergency evacuation. In this article, the authors show how small changes to a task…

Principal Salome Thomas-EL is "crazy about the kids" in his school. He's "curious about them and the lives they lead" at home and in the community. He is committed to being a "consistent adult" they can rely on and to maintaining a "culture of love and support for every child." In this inspirational and…

Too often, mathematics and science are taught in isolation from each other and from meaningful problems that matter to students. This book draws on the authors' experiences with teacher colleagues, including time spent in their classrooms co-developing and refining lessons. The core of their approach is to encourage learners to pursue solutions to…

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…

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…

As a genre, science fiction is uniquely suited for highlighting and modeling the basic tenets of critical pedagogy, that branch of educational philosophy and theory devoted equally to 1) exposing the hidden power structures embedded in educational practice and 2) articulating equitable and sustainable alternatives. The science fiction novum --…

This article elaborates three important practices that a kindergarten teacher used to support students' mathematics discourse: (1) establishing expectations that support mathematical discourse; (2) eliciting student thinking; and (3) narrating student thinking. The authors use vignettes from a kindergarten classroom to elaborate the nature of…

Electromagnetism (E&M) is often challenging for students enrolled in introductory college-level physics courses. Compared to mechanics, the mathematics of E&M is more sophisticated and the representations are more abstract. Furthermore, students may lack productive intuitions they had with force and motion. In this article, we explore the…

Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. "Figuring Out Fluency in Mathematics Teaching and Learning" offers educators the inspiration to develop a deeper understanding of procedural fluency, along with…