Partially automated assessment is implemented via the 'Printable worksheet' mode in the Numbas e-assessment system to create a mathematical modelling worksheet which is individualised with random parameters but completed and marked as if it were a non-automated piece of coursework, preserving validity while reducing the risk of academic misconduct…

Evidence shows that to improve student persistence in mathematics, we must change our course design to encourage students to have a growth mindset. By using standards-based grading, students earn grades based on their actual learning, so they are motivated to persist with difficult topics until they achieve understanding. Mastery-based testing has…

Many math educators are grappling with ways to make their instruction more culturally responsive to improve their students' feelings of belonging, perceptions of relevance, and academic learning outcomes. To learn more about how to facilitate the application of innovative and promising practices in math classrooms, a continuous improvement…

Academic integrity at our small Canadian college is informed by several key frameworks and centred around teaching, learning, and proactive education. Mathematics assessments were quickly moved through various learning environments over the past year, showing that some assessment design strategies were no longer feasible if they instead centred on…

During the 2020 COVID-19 lockdowns, one of the primary challenges faced by mathematics educators was maintaining assessment integrity when replacing invigilated assessments with online assessments. These assessments presented students with the opportunity to engage in misconduct in a manner that ordinarily would not exist. This was particularly…

Many universities use diagnostic tests to assess incoming students' preparedness for mathematics courses. Diagnostic test results can help students to identify topics where they need more practice and give lecturers a summary of strengths and weaknesses in their class. We demonstrate a process that can be used to make improvements to a mathematics…

A critical aspect of the development of culturally relevant classroom assessments is the design of tasks that affirm students' racial and ethnic identities and community cultural practices. This paper describes the process we followed to build a shared understanding of what culturally relevant assessments are, to pursue ways of bringing more…

Big Ideas can be seen as overarching concepts that occur in various mathematical topics and strands within a syllabus. Within our project on Big Ideas in School Mathematics, we developed instruments to measure two Big Ideas: Equivalence and Proportionality. The instruments we developed seek to assess students' ability to see these Big Ideas as…

This technical assistance paper provides policy and guidance to individuals with test administration responsibilities in adult education programs. There are four important reasons for creating a data-driven accountability system for adult education programs: (1) WIOA mandates that states develop a data-driven accountability system to establish and…

Full-information item analysis provides item developers and reviewers comprehensive empirical evidence of item quality, including option response frequency, point-biserial index (PBI) for distractors, mean-scores of respondents selecting each option, and option trace lines. The multi-serial index (MSI) is introduced as a more informative…

Calculus is traditionally tested, at least in part, by a closed book written examination taken under secure conditions. In March 2020, two-thirds of the way through a vector calculus course, our institution went into lockdown and all teaching and assessment had to shift online. While some teachers insisted that remotely written non-proctored…

This article describes the application of technology to the van Hiele Model for Geometric Thought to increase the van Hiele levels in an undergraduate Euclidean geometry course. Following the model with activities and phase-based instruction, students showed significant gains in the van Hiele levels in five different sections over the course of…

Rangahau Matauranga o Aotearoa / New Zealand Council for Educational Research (NZCER) is refreshing the PAT mathematics assessments. As the owners and administrators of PATs and strong proponents of Te Tiriti o Waitangi, NZCER has a responsibility to ensure our assessments evolve and reflect the unique context of Aotearoa New Zealand. The…

Australia participated in the eighth cycle of the Trends in International Mathematics and Science Study (TIMSS). TIMSS is an international sample study that assesses the mathematics and science achievement of Year 4 and Year 8 students every 4 years. Australia has participated in all cycles of TIMSS since it commenced in 1995 and over this 28-year…

Behaviourism proposes successful learning to be dependent on the performance of conditioned behaviours that are distinctly observable and objectively measurable. Over the past 100 years, various behaviourist concepts have been superseded by sociocultural and cognitive learning theories, but the entwined areas of assessment in mathematics education…