This extensively updated teaching resource provides over 100 engaging, full-color visuals with explanations of how they can be used to stimulate mathematics learning, to explain mathematical concepts, and to assess students' mathematical understanding in grades K-8. Readers are provided with a strong mathematical background, downloadable copies of…

Given the applicability of measurement to real-world problem solving and the importance of measurement understanding to accessing more advanced mathematics, improving instruction on foundational measurement skills for struggling learners is crucial. Although interventions targeting measurement have a smaller research base than other areas of…

Metamodeling ideas move beyond using a model to solve a problem to consider the nature and purpose of a model, such as reasoning about a model's empirical basis and understanding why and how a model might change or be replaced. Given that chemistry relies heavily on the use of models to describe particulate-level phenomena, developing…

Mathematical concepts have been a consensus goal for decades, yet there is little consensus on what is meant by the terms "mathematical concept" and "mathematical understanding." This article attempts to discuss these terms in a way that can be of practical use to teachers. Greater clarity on "mathematical concept"…

This article discusses and elaborates on how concept mapping as a specific instructional strategy helps students to externalize and transform their understanding of qualitative research; and helps instructors to focus on their students' conceptual understanding of qualitative research. The discussion focuses on concept mapping as a learning…

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…

The premiere book in the STEM for Our Youngest Learners Series introduces the Infant Toddler Inquiry Learning Model, a new way to think about how young children (birth-age 3) explore, think, and learn STEM concepts. The book also demonstrates how the Inquiry Teaching Model can guide teachers in implementing STEM experiences for this age group.…

This article describes a hands-on geometric tiling art activity used in two third-grade classes and four fifth-grade classes in a rural public elementary school with class sizes of around 20 students each. The lesson investigates concepts in geometry, number sense, and probability. Examples of student work and takeaways for other teachers…

This bibliometric analysis investigates the impact of Project-Based Assessments (PBAs) on conceptual understanding in STEM education from 2019 to 2024. By examining a dataset of 996 publications, the study highlights significant fluctuations in research outputs and the evolving focus on educational methodologies, particularly noting an…

Math educators must engage students in deep learning and talk spanning shorter, medium, and longer time frames to offer both the structures and language so that secondary English learners can participate fully alongside their classmates. In this article, the authors present: (1) "structure and language" to facilitate full participation…

Learning a second language (L2) is not merely mastering an additional linguistic system, but rather learning a new way of conceptualizing the world. Grammatical development does not always align simultaneously with conceptual development in L2. That explains why L2 learners may produce sentences that are grammatically correct, but pragmatically…

The Periodic Table of Elements is a valuable resource for chemists and all kinds of STEM professionals. However, it can be initially overwhelming and intimidating to some students. This hands-on lesson introduces abstract concepts in the periodic table through a tangible experience with simple toys and household objects. Students collaborate and…

Cyclic voltammetry (CV) is the most popular electrochemical technique for the study of electrode processes. One of the reasons for its popularity is its adjustable timescale which can vary several orders of magnitude simply by varying the rate at which the potential is scanned. Changing the scan rate affects CV features including the current,…

Vectors have important applications both within and outside mathematics, but the concept of vectors is often taught to students in a less-than-engaging way, leading to students feeling inadequate and frustrated. This article describes the use of a mathematical microworld, "Driving with Vectors," to explore vectors using equitable…

This extensively updated teaching resource provides over 100 engaging, full-color visuals with explanations of how they can be used to stimulate mathematics learning, to explain mathematical concepts, and to assess students' mathematical understanding in grades K--8. Readers are provided with a strong mathematical background, downloadable copies…