Levels of creativity

Distribution (percentage)

Examples from student questionnaires

Level Zero Employing Algorithms

40.4% (N = 23)

Students used a simple algorithm for calculating areas.

The areas calculated were areas of geometrical figures, for example trapezoids, squares, rectangles.

Examples of these calculations may be found in the following questionnaires: [25B], [30b], [28B], [18B], [48B], [37B], [30B]

*the quotes were left out of this part of the table for technical reasons.

Level One Developing a method from a given situation

17.5% (N = 10)

“if you divide it by “Sun Lines” , you get 4 triangles and 4 squares…” [33C]

“…two triangles belong to the heart part…”

“The colored parts are equally divide between the father and the son…” [35C]

“…part A equals part B, part D equals part C, the diagonal line crosses them, so the areas are equal…” [36C]

“…I used the small square as a unit of measurement and saw that the hearts were equal to 5 squares altogether…” [43D]

Level Two Constructing a solution by exploring what is stated in the problem

15.8% (N = 9)

“…I see the cake as a geometrical shape, so I’ll use Euclidian geometry to solve the problem…” [24A]

…I will prove that MDCN is a rectangle..” [26A]

“…EF is parallel to AB…” [51A]

Other verbal solutions

26.3% (N = 15)

“…in order to figure out who ate more, I tried to “fit” the father’s piece into the son’s pieces…” [21D]

“…I cut the son’s piece roughly in the middle…” [6D]

“…after cutting the pieces and trying to overlap them, I could see that the son’s piece…” [7D]