Search arXivSearch

arXiv · 2411.03332

Supplementary Private Tutoring and Mathematical Achievements in Higher Education: An Empirical Study on Linear Algebra

Abstract

The present article is an empirical study that investigates the learning situation of linear algebra. Research was performed among 60 science and engineering students from different universities in Zhejiang, Jiangsu, Hubei, and Shandong who were taught by three mathematics teachers in the course of a 3-day short-term training consisting of 24 classes; following this, the effectiveness of short-term training for mathematics curriculum learning in higher education was evaluated based on the IRT measurement model. The results indicate that regardless of the difficulty of the test, short-term training significantly enhances students' mastery of linear algebra knowledge points, and students can accurately perceive their mathematical achievements; the effect observed is not consistent with that of private tutoring (PT) in primary and secondary schools.

Explore related subjects

Keep this discovery

BibTeXRIS

Xuefei Lin, Guangyu Xu, Lei Peiyao, Bin Xiong. 2024-10-23. Supplementary Private Tutoring and Mathematical Achievements in Higher Education: An Empirical Study on Linear Algebra. https://arxiv.org/abs/2411.03332

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Perspectives on the unit distance problem

This is a survey on an old open problem in combinatorics called the unit distance problem, and the field of mathematics around it, called incidence geometry. What do we know about the problem? Why is it difficult? How does it connect with other parts of math?

math.HO

A Categorical Approach to Euclidean Ratios and Proportions

A categorial approach to the non-metric geometry in Books V and VI of Euclid's \textit{Elements} is presented. Specifically, we introduce a diagrammatic syntax that can be overlaid immediately on his diagrams, thus bridging intuitive presentation with fidelity to Euclid's arguments. This syntax makes complicated definitions like V.5, and indeed the arguments throughout books V and VI, including arguments about similar figures, intuitively clear. We show in an appendix that this syntax can be used to solve a puzzle regarding ancient mathematics. Finally, we offer evidence that this approach to Euclidean diagrams is rooted in the Aristotelian tradition itself, and that a similar syntax was utilized, in antiquity, for related questions of numeric and proportions. Thus the syntax is plausibly faithful to Euclid's own thought-world, and not an outside-imposition.

math.HO

Some Early Results by Tutte Regarding the Cycle Double Cover Conjecture in 1948

OpenAI recently announced a proof of the Cycle Double Cover (CDC) Conjecture. Most media reports have characterized it as a 50-year-old open problem. In reality, according to a 1987 letter from Tutte to Fleischner, the Cycle Double Cover Problem has been open for at least 80 years. Two early results regarding the CDC conjecture were established in one of Tutte's 1949 publications.

math.HO