Decades of research point to the value and importance of spatial skills and have demonstrated the malleability, durability, and teachability of spatial skills across the lifespan. Teachers and caregivers can apply this research in their classrooms or homes through a wide range of strategies. In this article, we offer specific, engaging activities…

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)…

Research suggests that embodying mathematical concepts through movement supports improvements in students' spatial fluency, communication, collaboration, critical thinking, and problem-solving skills (Alibali and Nathan 2012; Cone and Cone 2011; Sarama and Clements 2009). This article describes a dance-based strategy that middle school mathematics…

The Framework for K-12 Science Education and the Next Generation Science Standards (NGSS) underscore the importance of including engineering design process (EDP) within the science curriculum. The Framework and the NGSS raised engineering design to the level of scientific inquiry in an attempt to prepare a STEM-literate workforce for the 21st…

Developing students' strengths while teaching the content required by national and state standards in science, technology, engineering, and mathematics (STEM) is challenging for classroom teachers. In the Cultivating Diverse Talent in STEM (CDTIS) project, the assessment results found in strength-based reports gave teachers the tools needed to…

Middle school students need opportunities to craft informal mathematical arguments beyond justification of steps in an algorithm. Pentominoes provide an excellent vehicle for such activity. In this article, the authors describe an exploration with pentominoes that engaged a group of ninth-grade students in proportional reasoning, dilation, and…

Some years back, the author found the following problem in a spatial puzzle book: how many ways can you put four blocks together, face to face (with no vertical rotation symmetry)? He gave each student just four blocks and they collectively tried combinations to eventually agree on the answer of 15. He used to think it was a halfway decent task,…

Studies have found that movement can have a positive effect on the linguistic and intellectual capabilities of the brain, proving that physical fitness is related to academic performance. By allowing elementary students to move around and be involved in physical activity at school, the brain is able to make stronger connections with the material…

Familiar toys can be used to scaffold young children's learning about basic physics as well as guide scientific inquiry. Teachers looking for resources to engage young children and develop science inquiry skills need look no further than the toy box. In this two-part activity, children first construct a Lego® car and use it to explore the effects…

This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This…

Measurement is an important component of K-grade 12 mathematics curricula. The concepts of area and perimeter of polygons are first introduced in third grade and serve as the basis for teaching in the upper grades. Without a strong understanding of measurement, students will struggle to meaningfully grasp three-dimensional measurement concepts…

The United States is dependent on innovations in science, technology, engineering, and math (STEM) fields for the growth of its economy and improvements to quality of life, but too few students are prepared for them. To help meet the challenges in filling the STEM pipeline, teachers of gifted elementary students can nurture important talents,…

Geometry is the branch of mathematics that addresses spatial sense and geometric reasoning. Students begin to understand geometry through direct interaction with their physical world. Because it is the study of the physical attributes of the environment, geometry has relevance for every student; the world becomes a big classroom. As students see,…

"Improving Mathematics in the Early Years and Key Stage 1" reviews the best available evidence to offer five recommendations for developing the maths skills of 3-7-year olds. Recommendations include integrating maths into different activities throughout the day -- for example, at registration and snack time -- to familiarise children…

Elementary students find it difficult to connect the apparent motion of objects in the sky with how celestial objects actually move in the solar system. As a university astronomy education researcher, the author has been investigating methods to help children learn astronomy through workshops and summer camps at science museums and planetariums.…