When investigating primary geometry, students are commonly only presented with ‘traditional’ shapes. This limits their understanding of the properties of these shapes.
For example, many teaching resources and children’s books always show triangles like this:
|Shapes should be presented in varying orientations. Additionally, a variety of shape examples should be used. Young students need to see that not all triangles are equilateral. By seeing a range of shapes, they learn to recognize the properties of triangles, not just equilateral triangles.|
Another issue for Kindergarten is squares and rectangles. True definitions are complicated for this grade level, and not really our goal anyway. We do want students to realize that a square is a special kind of rectangle. This rhyme typifies the approach:
If it’s the same size everywhere, it’s not just a rectangle; it’s a square!