Thought that, the = Did not understand rule for dividing = the logic of the two fractions was: = rule: ‘multiply Used incorrect rule: reciprocals of both 38.0 and Dividend Divisor’. 4 ÷ 2 Did not understand Thought that, the = the logic of the rule for dividing = rule: fractions was: to = multiply divisor = by the reciprocal Used incorrect rule: of dividend. 30.8 Thought that, the = rule for dividing = 12 18.1 two fractions was: Used incorrect rule: ‘multiply reciprocals of both = = and Dividend Divisor Thought that Used incorrect rule: Did not understand and numerators = the rule for are denominators dividing fractions. divided separately as for the case of fractions. Generally, as in the table, the failure rate on these items ranged from 38.0% to 18.1%. Failure to obtain correct answers was due to the incorrect use of the rule for dividing fractions. While the correct rule was to multiply the dividend by the reciprocal of the divisor that is:, some respondents either multiplied the reciprocals of dividend and divisor, or multiplied the dividend by reciprocal of the divisor, that is ×. It was also noted that, there were respondents (18.1%) who divided the
38.0 = = = Used incorrect rule: Did not understand the logic of the rule: Thought that, the rule for dividing two fractions was: ‘multiply reciprocals of both Dividend and Divisor’. 30.8 4 ÷ 2 = = = = Used incorrect rule: Did not understand the logic of the rule: Thought that, the rule for dividing fractions was: to multiply divisor by the reciprocal of dividend. 18.1 = = 12 = = Used incorrect rule: Used incorrect rule: = Did not understand the rule for dividing fractions. Thought that, the rule for dividing two fractions was: ‘multiply reciprocals of both Dividend and Divisor Thought that numerators and denominators are divided separately as for the case of fractions. Generally, as in the table, the failure rate on these items ranged from 38.0% to 18.1%. Failure to obtain correct answers was due to the incorrect use of the rule for dividing fractions. While the correct rule was to multiply the dividend by the reciprocal of the divisor that is:, some respondents either multiplied the reciprocals of dividend and divisor, or multiplied the dividend by reciprocal of the divisor, that is ×. It was also noted that, there were respondents (18.1%) who divided the
Victor_Mwesiga_%2D_PhD.docx