# Geometry & spatial reasoning

## Introduction

Geometry originates from Greek  ge or gaia meaning earth or land and metria meaning measuring, or measurement of earth or land. Today geometry’s big ideas include the study of spatial properties and relations of points, lines, surfaces, solids, and higher dimensional quantities. Their shapes, variables or invariables, definitions, & proofs.

Analytic geometry is the combination of geometry and algebra.

Relative position is used to locate objects in space with distance and directions.

## Knowledge base & tools for mathematical literacy

### Knowledge base

Mathematical knowledge base with concepts necessary for learners to conceptualize to become mathemtically literate and misconceptions that must be over come. Particularly important for geometry and spatial reasoning are:

### Tools to facilitate literacy in geometry & spatial reasoning & tools to achieve it

Background information for learning and teaching.

## Activities to facilitate geometry & visual spatial literacy

### Puzzles & challenges, with work sheets

• Pythagoras theorem - Explanation sheet to justify a2 + b2 = c with 1. Area model & 2. lengths of sides model
• Relative position & topology - Work sheet to identify: in, on, out, for 3d & 2d pictures, & draw the 5 shapes. Age: preschool - first grade
• Tessellation - Work sheet: How to make a tessellation
• Triangles - properties, kinds, angles, sides, and relationships
• Ruler and compass constructions
• Cross sections

## Tangram puzzle sets and tables

Other math knowledge bade & activities pages

Process dimensions:

Content dimensions:

Geometry is the science of correct reasoning on incorrect figures.

Shape with sides in a pattern that never repeats!

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