Exploring the association between self-efficacy and future utility beliefs in mathematics: A practical tutorial on...

Area of Science:

• Educational Psychology
• Mathematics Education

Background:

• A strong association exists between students' beliefs in the future utility of mathematics and their mathematics self-efficacy.
• This relationship is crucial for understanding student motivation and academic achievement in STEM fields.

Purpose of the Study:

• To re-examine the association between future utility beliefs and mathematics self-efficacy.
• To visually explore this relationship using correspondence analysis on a large-scale dataset.

Main Methods:

• Utilized data from 21,444 ninth-grade students from the 2009 High School Longitudinal Study (HSLS09).
• Employed simple correspondence analysis to visualize the association between variables.
• Interpreted a two-dimensional correspondence plot summarizing the statistical association.

Main Results:

• The first two axes of the correspondence plot captured nearly 99% of the significant association.
• Students with strong beliefs in mathematics' future utility demonstrated higher performance.
• Students lacking belief in future utility showed lower mathematics performance.

Conclusions:

• Mathematics ability is significantly associated with a student's perception of its future importance.
• Reinforces the importance of fostering students' understanding of mathematics' real-world applications.
• Suggests that interventions aimed at enhancing future utility beliefs may improve mathematics self-efficacy and performance.