School of Information and Physical Sciences, University of Newcastle, Newcastle, NSW, Australia.
National Institute for Applied Statistics Research Australia (NIASRA), University of Wollongong, Wollongong, NSW, Australia.
PLoS One. 2023 Mar 6;18(3):e0282696. doi: 10.1371/journal.pone.0282696. eCollection 2023.
It has long been understood that there exists a strong association between a student's belief in the future utility of mathematics and their self-efficacy in mathematics. This study re-examines this association by studying these variables based on data collected from a sample of 21,444 ninth-grade students who participated in the 2009 High School Longitudinal Study (HSLS09). The nature of the association between future utility beliefs of students in mathematics and self-efficacy of students in mathematics is explored visually using the simple correspondence analysis technique. The main feature that will be utilised from this technique is a two-dimensional graphical display, referred to as a correspondence plot. By studying the HSLS09 data, the first two axes of such a plot summarised nearly 99% of the statistically significant association that exists between a student's beliefs in the future utility of mathematics and their mathematics self-efficacy. It is shown visually that students who strongly believe in the future importance of studying mathematics also perform strongly in the subject, while those who do not believe that there is any future utility from studying mathematics do not perform well at it. This study, therefore, suggests that mathematics ability is associated with a student's perception of its future importance.
长期以来，人们一直认为学生对数学未来用途的信念与他们对数学的自我效能感之间存在着很强的关联。本研究通过研究 2009 年高中纵向研究（HSLS09）中 21444 名九年级学生样本中收集的数据，重新检验了这种关联。通过使用简单对应分析技术，直观地研究了学生对数学未来用途的信念和学生对数学的自我效能感之间的关联。这种技术的主要特征是二维图形显示，称为对应图。通过研究 HSLS09 数据，该图的前两个轴总结了学生对数学未来用途的信念与他们的数学自我效能感之间存在的近 99%的统计显著关联。直观地表明，强烈相信学习数学的未来重要性的学生在该学科上表现也很强，而那些不认为学习数学有任何未来用途的学生则表现不佳。因此，本研究表明，数学能力与学生对其未来重要性的感知有关。
