Question

Can moving their hands help children learn math? This question was investigated in a study. Eighty-five children in the third and fourth grades who did not answer any questions correctly on a test with six problems of the form 3 + 2 + 8 = ___ + 8 were participants in an experiment. The children were randomly assigned to either a no-gesture group or a gesture group. All the children were given a lesson on how to solve problems of this form using the strategy of trying to make both sides of the equation equal.

Answer 1

Answer:

Impact of gesture learning on students performance (correct answers) can  be done through Hypothesis Testing

Explanation:

The hypothesis test is to check that impact of learning with gesture, increases or not the average number of correct answers by students.

Let : Group 1 = No gesture ; Group 2 = Gesture

Group 1 : no. = n1 , mean = u1 , standard deviation = σ1

Group 2 : no. = n2 , mean = u2 , standard deviation = σ2

Null Hypothesis [H0] : Mean (Group1) = Mean (Group2)

Alternate Hypothesis [H2] : Mean (Group 1) < Mean (Group 2)

Let level of significance α = 5% = 0.05

Test t statistic = ( u1 - u2 )

                    √ [ σ$1^2$ / n1 + σ $2^2$ / n2 ]

If calculated value of this 't' > tabulated 't' i.e usually 1.96 at α = 0.05 or if p value < 0.05 :  We reject the null hypothesis & conclude that Mean (Group 1) < Mean (Group 2). This implies that theory learning with gesture implies higher average correct responses

If calculated value of this 't' < tabulated 't' i.e usually 1.96 at α = 0.05 or if p value > 0.05 :  We don't reject the null hypothesis & conclude that Mean (Group 1) = Mean (Group 2). This implies that theory learning with gesture doesn't imply higher average correct answers