Verbal and Numerical Ability: Their Correlation with Mathematical Modeling Ability

Ketut Sarjana, Ni Made Intan Kertiyani
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Abstract

This study focuses on analyzing the relationship between verbal and numerical abilities in the ability to make mathematical models. The population of this study is junior high school students who use the 2013 curriculum in Mataram City. The research sample was taken with a stratified cluster sampling system. The sample used was 411 students. Data were taken using 3 tests, namely verbal ability test, numerical ability, and ability to make mathematical models. The data was collected using descriptive statistics and inferential statistics, namely multiple linear regression analysis. Descriptive statistics show that more than half of the respondents are in the medium or high category for the three abilities tested. Furthermore, based on the results of inferential statistics, it is found that verbal and numerical abilities have a significant effect on the ability to make mathematical models. The relationship between the three variables, namely Y=0.355X1+0.204 X2-5.446, where Y is the score of the ability to make mathematical models, X1 is the score of verbal ability and X2 is the score of numerical ability. Together, verbal and numeric abilities affect the ability to make mathematical models by 61.2%. Meanwhile, the verbal ability has a direct effect on the ability to make mathematical models at 35.5%. The numerical ability has a direct effect on the ability of mathematical models by 56.6%. The findings imply that enhancing both verbal and numerical abilities at the same time can boost the effectiveness of mathematical models more effectively than enhancing each ability separately.
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语言和数字能力:与数学建模能力的关系
本研究的重点是分析语言能力和数字能力在数学建模能力中的关系。本研究的研究对象为马塔拉姆市使用2013年课程的初中生。研究样本采用分层整群抽样法。使用的样本是411名学生。数据采用3项测试,即语言能力测试、数字能力测试和数学模型制作能力测试。数据收集采用描述性统计和推理统计,即多元线性回归分析。描述性统计表明,超过一半的受访者在三种能力测试中处于中等或高水平。此外,基于推理统计的结果发现,语言和数字能力对数学模型的制作能力有显著影响。三个变量之间的关系Y=0.355X1+0.204 X2-5.446,其中Y为数学模型制作能力得分,X1为语言能力得分,X2为数值能力得分。语言和数字能力共同影响了61.2%的数学建模能力。同时,语言能力对数学模型制作能力的直接影响为35.5%。数学能力对数学建模能力有56.6%的直接影响。研究结果表明,同时提高语言和数字能力比单独提高每项能力更能有效地提高数学模型的有效性。
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