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Phil Gersmehl – Geography Teacher, 2024
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…
Descriptors: Geography Instruction, Geography, Maps, Map Skills
Phil Gersmehl – Geography Teacher, 2024
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,…
Descriptors: Geography, Map Skills, Geography Instruction, Maps
Mathematics Teaching Reimagined: Seven Competencies to Foster Robust Student Learning and Engagement
Nathan D. Lang-Raad – Solution Tree, 2025
Transform mathematics instruction with the comprehensive mathematical competencies (CMC) framework--a research-based model that integrates seven essential competencies: conceptual and procedural integration, problem solving, logical reasoning, communication, tool use, pattern recognition, and student engagement. Through practical classroom…
Descriptors: Mathematics Instruction, Competence, Mathematics Skills, Elementary Secondary Education