Fractions are used in geometry for understanding geometric equations such as the area of a triangle (A= ½ b*h) and in determining ratios between various geometric objects or shapes. ... As previously mentioned, it is important to meet the students where they are at in terms of geometrical understanding. The van Heile levels break geometric understanding into three levels; 3 levels. ... In these observations, use geometric constructivists activities such as learning centers and mathematics games and manipulatives to reveal the students' van Heile level. ...

• Word Count: 4145
• Approx Pages: 17
• Grade Level: Undergraduate

An Integration of Mathematical and Multicultural Viewpoints Flatland, a novel written in the early 1900s by mathematician, social philosopher and head of the City of London School Edwin Abbot Abbot, is a wonderful novel that, on the surface, is a cute little story about some geometric shapes who live in a two dimensional world called Flatland, but underneath is full of strong statements about racism and social structure - gender equity in particular. ... The Flatland society consists of regular shapes - lines, triangles, squares, heptagons, hexagons, all the way to circles. ...

• Word Count: 1407
• Approx Pages: 6
• Grade Level: Undergraduate