Mathematics is a rich and beautiful playground of ideas, the apex of human creativity and ingenuity, applicable to all the world around us: humankind's best effort at understanding and describing the universe. Mathematics examinations aren't this. They're uninspiring and trauma-inducing, with an emphasis on routine calculations and easy-to-grade…

Creating assessment questions aligned to standards is a time-consuming task for teachers, but large language models such as ChatGPT can help. Bryan Drost & Char Shryock describe a three-step process for using ChatGPT to create assessments: 1) Ask ChatGPT to break standards into measurable targets. 2) Determine how much time to spend on each…

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…

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…

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…

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 Over the past 100 years, various behaviourist concepts have been superseded by sociocultural and cognitive learning theories, but the entwined areas of assessment in mathematics education…

In a recent article, Crider recommends ending a course with a memorable learning experience, called an epic finale, instead of a final exam. Here, we give the details of epic finales given in four mathematics courses: Discrete Mathematics, Information and Coding Theory, Real Analysis, and Complex Analysis. We describe how to reconfigure a course…

Empirical growth benchmarks, as introduced by Hill, Bloom, Black, and Lipsey (2008), are a well-known way to contextualize effect sizes in education research. Past work on these benchmarks, both positive and negative, has largely avoided confronting the role of vertical scales, yet technical issues with vertical scales trouble the use of such…

Effective mathematics teaching elicits and uses evidence of student thinking to assess progress toward mathematical understanding and adjusts instruction continually to support and extend learning (National Council of Teachers of Mathematics, 2014). However, as teachers march through content in precalculus, they tend to rely heavily on traditional…

Probability is generally considered one of the most challenging areas to teach in mathematics education due to its intricate nature. However, the simulation-based teaching method can increase students' accessibility significantly to the probability problems because it enables students to resolve the problems with minimal mathematical skills. By…

In 2013, the Council of Chief State School Officers (CCSSO), working collaboratively with state education agencies, released a set of criteria for states to use to evaluate and procure high-quality assessments. The mathematics section of the document included five content-specific criteria to evaluate alignment of assessments to college- and…

Ensuring students master their basic facts is a shared priority among teachers, parents, and administrators. As a result, the number of available resources for basic facts instruction, from concrete to virtual, is vast and continues to grow. Basic fact fluency has always been of interest to elementary school teachers and is particularly relevant…

Measures of teacher mathematical knowledge are notoriously difficult to develop (e.g., Orrill et al., 2015). This is in part because of the multidimensional nature of teacher knowledge. As part of two separate projects being undertaken by this research team, we have attempted to write assessments of teacher pedagogical content knowledge (PCK) in…

The concept of financial literacy, which has become popular as a 21st-century skill, is also a new field for mathematics education. Financial literacy, which has taken place in PISA [Program for International Student Assessment] since 2012, has not only been presented as a separate course and has also increased in density in related courses such…

This article presents a didactic situation focused on geometric reasoning using 3D GeoGebra, using the concepts Theory of Didactical Situations (TDS). The objective of this work is to bring a didactic proposal for the teaching of Spatial Geometry, working with the students' geometric perception, oriented and elaborated based on the dialectic of…