Practical Online Assessment of Mathematical Proof

Influence of a function's coefficients and feedback of the mathematical work when reading a graph in an online assessment system

This paper shows the results of an experiment applied to 170 students from two Chilean universities who solve a task about reading a graph of an affine function in an online assessment environment where the parameters (coefficients of the graphed affine function) are randomly defined from an ad-hoc algorithm, with automatic correction and automatic feedback. We distinguish two versions: one of them with integer coefficients and the other one with decimal coefficients in the affine function. We observed that the nature of the coefficients impacts the mathematical work used by the students, wher…

Evaluating the use of e-assessment in a first-year pure mathematics module

This article presents the findings of a case study which introduced online quizzes as a form of assessment in pure mathematics. Rather than being designed as an assessment of learning, these quizzes were designed to be an assessment for learning; they aimed to academically support students in their transition from A-Level mathematics to university-level pure mathematics by providing an extrinsic motivation to engage them with their learning material early on and to emphasise the small details within proofs, such as defining notation, which are not necessarily emphasised by written homework ass…

态度因素在数学在线评价中的作用--以本科STEM学生为例

The role of attitudinal factors in mathematical on-line assessments: a study of undergraduate STEM students

本研究探讨学生的态度，使用实质性的在线评估，需要数学的答案。我们的目标是了解什么是更有效的电子评估，支持在高等教育环境中的数学学科的学习设计的重要方面。为此，我们分析了各种态度因素对这种评估之间的一个横截面的一年级学生在英语大学的影响。这些学生以前都接触到在线评估包含大量的数学工作，包括测试和反馈的代数结构，他们的答案。他们提供了详细的在线反馈，因此，我们专门研究了形成性反馈对教育技术使用的影响。我们的研究结果表明，学生发现在线反馈比传统的反馈更愉快和有用。“态度”和“享受”是影响其使用意向的两个最重要的因素。我们的研究结果还表明，即使是这个数字化的一代，在使用计算机和支持使用信息技术的可用性的信心是重要的因素，有效地利用在线评估。

数字化背景下数学教育测评方法的发展

Development of Testing Methodology in Mathematics Education in the Context of Digitalization

本文提出基于Moodle的创新测评系统，通过逐步验证和互动练习提升评估结构和反馈质量，结合经典测验理论分析测试可靠性，提高评估透明度和概念理解。

fnf-Learning Mathematics

This study concerns the use of e-learning in the mathematics education system, shedding the light on its advantages and disadvantages, analyzing its applicability either partially or totally, and discussing the ways of improvement. From mathematical perspectives, theories are developed to test the courses tendency to online transformation. This leads to a new trend of learning, the offline-online-offline learning (fnf-learning), it merges e-learning mode with the traditional orientation of education. The derivation of the new trend is based on the learning approaches and study levels, this mak…

根据维基百科、MathWorld和DLMF在线图书馆的数学知识网络结构

The network structure of mathematical knowledge according to the Wikipedia, MathWorld, and DLMF online libraries

我们研究了维基百科（仅限于其数学部分），MathWorld和DLMF的网络结构。我们从几个全局和局部网络理论特征的角度来处理这三个在线数学库，为每一个提供适当的值或分布，以及比较，如果可能的话，还包括整个维基百科或网络。我们确定了所有三个库的一些区别特征，其中大多数可以追溯到库的共享性质，涉及到一个非常专业的领域。在这些特征中，在每个对应的有向图中存在非常大的强连接分量，完全不存在描述局部特征分布的任何明确的幂律，以及一些局部特征（例如，强调中心性），可以用来有效地搜索库中的关键字。