Long-Term Prediction from Topic-Level Knowledge and Engagement in Mathematics Learning

Andres Felipe Zambrano, Ryan S. Baker
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Abstract

During middle school, students’ learning experiences begin to influence their future decisions about college enrollment and career selection. Prior research indicates that both knowledge gained and the disengagement and affect experienced during this period are predictors of these future outcomes. However, this past research has investigated affect, disengagement, and knowledge in an overall fashion – looking at the average manifestation of these constructs across all topics studied across a year of mathematics. It may be that some mathematics topics are more associated with these outcomes than others. In this study, we use data from middle school students interacting with a digital mathematics learning platform, to analyze the interplay of these features across different topic areas. Our findings show that mastering Functions is the most important predictor of both college enrollment and STEM career selection, while the importance of knowing other topic areas varies across the two outcomes. Furthermore, while subject knowledge tends to be the most relevant predictor for general college enrollment, affective states, especially confusion and engaged concentration, become more important for predicting STEM career selection.
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从主题层面的知识和数学学习的参与度进行长期预测
在初中阶段,学生的学习经历开始影响他们未来关于大学入学和职业选择的决定。先前的研究表明,这一时期所获得的知识以及所经历的脱离和情感都是这些未来结果的预测因素。然而,以往的研究是以整体的方式来研究情感、脱离和知识的,即研究一年数学学习中所有主题的这些建构的平均表现。可能有些数学课题比其他课题与这些结果更有关联。在本研究中,我们利用初中学生与数字数学学习平台互动的数据,分析了这些特征在不同主题领域的相互作用。我们的研究结果表明,掌握函数是预测大学入学和 STEM 职业选择的最重要因素,而了解其他主题领域的重要性在这两种结果中各不相同。此外,虽然学科知识往往是与普通大学入学率最相关的预测因素,但情感状态,尤其是困惑和专注力,对于预测 STEM 职业选择变得更加重要。
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