In this study, the readiness for the study of arithmetics, especially for the multiplication facts is investigated. There is a great difference between the effect of teaching before a child become mentally ready for the arithmetic and the effect of teaching after the readiness is nearly achieved. Therefore, curriculum should be made along with the psychological growth of children. Children may not be willing to meet each unit in the course of study unless they are not mentally ready for it.
1) Purpose: This study has two purposes: the first is to decide the most adequate time for the study of the multiplication facts in accordance with the physical and psychological growth. The second is to analyse the factors related to the arithmetic readiness.
2) Method: The method of this study consists of comparative experiments and the subjects are the second and third grade children of eight elementary schools in Tokyo City and in Gifu Prefecture. A thousand and forty-six subjects in total were divided into four homogeneous groups in respect to intelligence and knowledge in primary arithmetics. Only difference among them is the time of beginning of the experiments. Group I began from the second term of the second grade (September), Group II, from the third term of the second grade (January), Group III, from the first term of the third grade (April), and Group IV, from the first term of the third grade (June). These group were taught by the same method, on the same materials by 22 teachers for each group. Then the First Foundation Test, The Second Foundation Test, Pretest, Final Test and Retention Test were given in the following order.(Fig. I) In order to analyse other factors which may give effect to arithmetical readiness, the investigator administered the New Tanaka Intelligence Test B, Guess-Who-Test, Self-Diagnosis-Test, Preference-Test, Memory-Abilities-Test, Home-Environment-Test and so forth.
To establish a criterion for adequate mastery of the multiplication facts learning, the standard of the Committee of Seven on Grade Placement of Arithmetic topics in U. S. A., was adopted. The standard is “Adequate mastery means the degree of mastery which enables more than 80% of children to pass the retention test which is administered after six weeks.”
3) Results: Mental age for the multiplication facts learning which enables three-fourths of the children to reach 80 percent mastery is found to be eight years and one months (the 2nd term of the 2nd grade). This age is considered as the most adequate level at which teaching of multiplication facts can be begun. It is recommended, therefore, Japanese children can be taught six months earlier than as they are with the present curriculum.
The factors which are relevant to the arithmetic readiness are as follow:
1) The intelligence to be needed for arithmetic learning.
2) The speed of reaction (response)
3) The function of vision or visual organ.
4) The function of hearing or auditory organ.
5) The home environment.
6) The emotional adjustment.
7) The patience tendency.
8) The faculty of remembering (memory)
9) Interest in arithmetic learning
10) Experience of arithmetic learning (arithmetic readiness)
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