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…

Many approaches to teaching Newman projections and conformational manipulation rely on lecturing using only two-dimensional representations. While molecular models are recognized as useful learning tools, students are often left to figure out how to use them during the initial learning process. The availability of basic online molecular models…

Using three-dimensional models in chemistry is a common teaching practice aimed at elevating the level of understanding of abstract concepts. However, the experience of using chemical models is still quite passive in terms of students' input, requiring the students to utilize mainly visual, auditory, and some tactile information processing…

A multidisciplinary origami activity that could be used in middle school mathematics and science lessons was designed and implemented. Mathematical purpose of the origami activity is to support students' conceptual understanding and procedural skills related to the concept of fraction. Regarding science, the activity aims to visualize Solar system…

Molecular symmetry is a topic that requires mental manipulation of molecules when searching for symmetry elements and their corresponding symmetry operations. Such mental activities are difficult for students in a traditional classroom where only definitions and demonstrations are provided. Therefore, an exploration-based activity was developed to…

In the field of technology and engineering education, educators are limited by their inability to predict what is coming; as the saying goes, they are preparing their students for jobs that do not even exist yet. Two adaptive approaches can help prepare students for this uncertainty: (1) teaching broad skills that can be applied in new situations;…

The purpose of this article is to describe a couple of challenging mathematical problems that involve paper folding. These problem solving tasks can be used to foster geometric and algebraic thinking among students. The context of paper folding makes some of the abstract mathematical ideas involved relatively concrete. When implemented…

The author showcases a number of readily available and affordable resources that may be used in mathematics classrooms to provide students with concrete learning experiences. Resources, alone, do not provide educational experiences unless they are accompanied by appropriate teaching to ensure rich and connected learning experiences.

Perceptually rich concrete manipulatives benefit mathematics learning. Because students should be challenged to consider connections between two-dimensional (2D) and three-dimensional (3D) perspectives of conics (NCTM 2000), this article describes hands-on teaching techniques that promote this type of student reasoning. This article aims to (1)…

As three-dimensional (3D) printing technology is fast becoming more affordable and accessible, calculus instructors can now consider using 3D printing and 3D printed models to actively engage students in core concepts relating to objects in R[superscript 3]. This article describes three lessons for a multivariable calculus class in which students…

Early childhood provides a time of crucial growth in all developmental domains. Prekindergarten is an optimal time for young children to use objects of play as a medium to explore new cognitive concepts, including mathematical structure. Mathematical structure plays an important role in providing students a means to reason about mathematics,…

Science instruction is a critical aspect of early learning. Teachers can support young children's learning about scientific concepts through the use of the Universal Design for Learning (UDL) framework, which is a proactive approach to instructional planning that helps ensure success for all learners. This teaching techniques article offers…

This work outlines a model for creating momentum for active learning at the departmental level through a Community of Practice. This approach focuses on empowering members of the community by providing easy access to active learning tasks, pacing guide, and teaching tips for the course.

The Tower of Hanoi is an old, popular, and engaging puzzle. It is an exceptional puzzle too considering how effective it can be in engendering multiple valuable outcomes when used as a tool for learning. One of the fundamental goals of mathematics teacher preparation is to enable the prospective teacher to develop mathematical habits of mind and…

Statistics is enjoying some well-deserved limelight across mathematics curricula of late. Some statistical concepts, however, are not especially intuitive, and students struggle to comprehend and apply them. As an AP Statistics teacher, the author appreciates the central limit theorem as a foundational concept that plays a crucial role in…