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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. Children in the gesture group were also taught to point to the first two numbers on the left side of the equation with the index and middle finger of one hand and then to point at the blank on the right side of the equation. This gesture was supposed to emphasize that grouping is involved in solving the problem. The children then practiced additional problems of this type. All children were then given a test with six problems to solve, and the number of correct answers was recorded for each child. Summary statistics read from a graph in the paper are given below. n x No gesture Gesture 42 1.2 43 2.4 0.3 0.4 Is there evidence to support the theory that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses? Test the relevant hypotheses using a = 0.01. (Use a statistical computer package to calculate the P-value. Use no gesture gesture. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.) t= df= P-value= State your conclusion. Fail to reject Ho. We do not have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. O Fail to reject Ho. We have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. Reject Ho. We do not have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. O Reject Ho. We have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses.

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. Children in the gesture group were also taught to point to the first two numbers on the left side of the equation with the index and middle finger of one hand and then to point at the blank on the right side of the equation. This gesture was supposed to emphasize that grouping is involved in solving the problem. The children then practiced additional problems of this type. All children were then given a test with six problems to solve, and the number of correct answers was recorded for each child. Summary statistics read from a graph in the paper are given below. n x No gesture Gesture 42 1.2 43 2.4 0.3 0.4 Is there evidence to support the theory that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses? Test the relevant hypotheses using a = 0.01. (Use a statistical computer package to calculate the P-value. Use no gesture gesture. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.) t= df= P-value= State your conclusion. Fail to reject Ho. We do not have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. O Fail to reject Ho. We have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. Reject Ho. We do not have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. O Reject Ho. We have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 68CR
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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. Children in the gesture group were also taught to point to the first two numbers on the left side of the equation with the index and middle finger of one hand and then to point at the blank on the right side of the equation. This gesture was supposed to emphasize that grouping is involved in solving the problem. The children then practiced additional problems of this type. All children were then given a test with six problems to solve, and the number of correct answers was recorded for each child. Summary statistics read from a graph in the paper are given below. n X S No gesture Gesture 42 43 1.2 2.4 0.3 0.4 Is there evidence to support the theory that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses? Test the relevant hypotheses using α = 0.01. (Use a statistical computer package to calculate the P-value. Use "no gesture μgesture Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.) t = df = P-value = State your conclusion. Fail to reject Ho. We do not have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. Fail to reject Ho. We have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. Reject Ho We do not have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. ○ Reject Ho. We have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses.
Transcribed Image Text: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. Children in the gesture group were also taught to point to the first two numbers on the left side of the equation with the index and middle finger of one hand and then to point at the blank on the right side of the equation. This gesture was supposed to emphasize that grouping is involved in solving the problem. The children then practiced additional problems of this type. All children were then given a test with six problems to solve, and the number of correct answers was recorded for each child. Summary statistics read from a graph in the paper are given below. n X S No gesture Gesture 42 43 1.2 2.4 0.3 0.4 Is there evidence to support the theory that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses? Test the relevant hypotheses using α = 0.01. (Use a statistical computer package to calculate the P-value. Use "no gesture μgesture Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.) t = df = P-value = State your conclusion. Fail to reject Ho. We do not have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. Fail to reject Ho. We have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. Reject Ho We do not have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. ○ Reject Ho. We have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses.
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