The focus in this article is on the usefulness of spatial sequencing as a tactic for interpreting a map and organizing our memory of it. This skill is useful whenever some condition varies in a systematic way with distance. When students are asked whether they see a pattern on a map of a topic like wildfires or terrorist activity, some students…

An "analogy" is a statement of relationship. A "spatial analogy" is an analogy based on a spatial relationship that is observed in a location. Spatial analogies can be based on any spatial relationship, including distance, direction, elevation, proximity, enclosure, or position in a pattern, region, or sequence - in short,…

This is the fourth in a series of six articles about how research by psychologists, neuroscientists, robot engineers, and other scientists could help geography educators design better lessons. This article will focus on teaching about regions as narrowly defined: a region is a group of places that have something in common and are close to each…

When students see mathematics as an integrated field of study, they make connections, gain a deeper understanding of mathematical concepts, and see mathematics as a whole rather than disconnected, unrelated ideas. Measurement concepts are the perfect "seed to plant" to show how different mathematical strands integrate within other…

The Minnesota K-12 Academic Standards in Mathematics represent the work of the Mathematics Standards Review Committee who, during the 2021-22 school year, reviewed the 2007 Minnesota K-12 Academic Standards in Mathematics, other states' recently revised standards, current academic research, K-12 instructional best practices and public feedback.…

During the 2021-22 school year, the Mathematics Standards Review Committee reviewed the 2007 Minnesota K-12 Academic Standards in Mathematics, other states' recently revised standards, current academic research, K-12 instructional best practices and public feedback. This review process followed the guidelines in Minnesota Statutes 2023, section…

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)…

Teaching and learning about food and agriculture in an effective, engaging manner is enriched through the use of web mapping tools and spatial data. These tools, enabled by the advent of cloud-based Geographic Information Systems (GIS) technology, bring problem solving, critical thinking, and spatial analysis to every classroom instructor and…

Teaching and learning about political boundaries in an effective, engaging manner can be enriched through the use of webGIS mapping tools and spatial data. WebGIS enabled tools bring problem solving, critical thinking, and spatial analysis to education. Teaching with GIS is conducive to a multi-disciplinary, problem-solving learning environment…

The lesson described in this article meets several needs for Advanced Placement Human Geography (APHG®) teachers. In the interest of preserving time in the classroom, this lesson is intended to be a capstone assignment, allowing students to synthesize several concepts of the APHG® curriculum, such as demography, economic development, and cultural…

Courses: This teaching unit is for intercultural communication but could be used for any course related to globalization, including public speaking, popular culture and communication, or environmental communication. Additionally, the teaching unit is well-suited for other disciplines, including geography, environmental studies, and global studies.…

We consider here a number of ideas for the classroom or lecture theatre associated with the mensuration of solids. In particular, the volumes of various tetrahedra are obtained in an indirect manner (by way of prisms and square-based pyramids). This activity develops problem-solving skills, spatial visualization and a from-first-principles…

Linear algebra students are typically introduced to the problem of how to convert from one coordinate system to another in a very abstract way. Often, two bases for a given vector space are provided, and students are taught how to determine a transition matrix to be used for changing coordinates. If students are successful in memorizing this…

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…