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Table 2 Teacher use and mean ratings of the effectiveness of various fraction activities

From: The use and effectiveness of colorful, contextualized, student-made material for elementary mathematics instruction

  

Percentage of respondents

Mean rating of effectiveness

(1: not at all–5: extremely)

Activity

Description

Have used

Would use in the future

Candies

Have students bring in two chocolate bars. Identify fractions, such as 1/2, 1/4, 1/8, as proportions of the candy bars.

60%

90%

3.95 (.84)

Circles

Have students use circles cut into equally sized sectors to represent fractions such as 1/2, 1/4, 1/8.

78%

96%

3.74 (.86)

Cookies

Have students make sets of cookies (either real or paper). Construct sets of cookies with and without chocolate chips to represent fractions such as 1/2, 1/4, 1/8.

56%

89%

3.96 (.88)

Egg Carton

Have students bring in empty egg cartons. Fill egg cartons with different numbers of plastic eggs to represent fractions such as 1/2, 1/4, 1/12.

21%

84%

3.68 (.90)

Kite

Have students make a kite of different colored sections to represent a fraction. Represent common fractions, such as 1/2, 1/4, 1/8, through kites made by different students.

33%

84%

3.57 (.89)

Number Line

Have students make a number line to represent fractions such as 1/2, 1/4, 1/8.

70%

87%

3.30 (.99)

Paper strips

Have students cut strips of paper. Fold the strips into different proportions to represent fractions such as 1/2, 1/4, 1/8.

74%

95%

3.85 (.85)

Pattern blocks

Have students explore a set of pattern blocks and identify fractions, such as 1/2, 1/4, 1/8, as the ratio of a smaller shape to a larger shape.

70%

94%

3.78 (.88)

Pizzas

Have students make pizzas out of paper. Cut the pizzas into equally sized slices to represent fractions such as 1/2, 1/4, 1/8.

67%

93%

3.86 (.82)

Quilts

Have students make paper quilts by coloring (or pasting) equal-sized geometric parts of a square. Identify the fraction (such as 1/2, 1/4, 1/8) which describes the proportion of each color or pattern in a specific square.

23%

85%

3.61 (.90)

  1. Note: Standard deviations appear in parentheses