This commentary was written by ChatGPT, an artificial intelligence language model developed by OpenAI. It was conceived by the first author as a test for how the advent of predictive language modeling will create opportunities and challenges for researchers and teachers in mathematics education. The paper consists of a commentary that was written…

In this article, the authors share the instructional moves that a fifth-grade teacher, made to simultaneously develop the mathematical reasoning of multilingual learners and the mathematics register required to write a multiplication story. The teacher incorporated tasks in her lessons that fostered students' mathematical reasoning consistent with…

One perceived advantage of computer-based testing is that accessibility tools can be embedded within the testing format, allowing students with disabilities to use them when necessary to remove unique barriers within testing. However, an important assumption is that students activate and use the tools when needed. Initial data from large-scale…

In numerous studies, intelligent tutoring systems (ITSs) have proven effective in helping students learn mathematics. Prior work posits that their effectiveness derives from efficiently providing eventually-correct practice opportunities. Yet, there is little empirical evidence on how learning processes with ITSs compare to other forms of…

In this paper duality between real world phenomenon and mathematics will be discussed. This duality exists for many years which considerably remarked in the history of mathematics curriculum. One of the good potential for filling the gap between real world phenomenon and mathematical ideas would be modelling tasks which require performing the…

This paper presents results from research that investigated the participation and attrition rate of male and female candidates in two post-secondary mathematics courses (Pure Mathematics and Applied Mathematics). The data for this study consisted of the course results over five years from 2013-2017 for 15,220 candidates (N = 19,585) from 71…

This action research study examines the use of professional development to build the self-efficacy of secondary math teachers in culturally responsive mathematics teaching (CRMT), with the hope to address achievement gaps of Black and Hispanic students. Seven math teachers from a school division in Southwest Virginia participated in a 9-week…

Students determined to be underprepared for college-level mathematics would be enrolled in a sequence of developmental mathematics courses before taking their college-level mathematics course. Students who started in the lowest level of developmental mathematics had a twenty percent chance of completing their college-level mathematics credits…

The classroom is the primary site for learning. A vital feature of classroom learning is the division of educational content into various disciplines. While disciplinary differences could substantially influence the learning process toward success, little is known about the neural mechanism underlying successful disciplinary learning. In the…

The mathematics performance of students identified with emotional and behavioral disorders (EBD) is poor. Students identified with EBD require individualized instruction aligned with their unique academic and behavioral needs. One way that teachers can efficiently identify core mathematics deficits and provide individualized instruction is through…

Connections is one of the Process Standards set forth by the National Council of Teachers of Mathematics (NCTM 2000), whereby teachers provide students with learning opportunities to "recognize and apply mathematics in contexts outside of mathematics." Similarly, the Standards for Mathematical Practice (NGA Center and CCSSO 2010) call…

Dude Perfect has one of the most popular YouTube channels in the United States. The task in this article is one of several activities the author has integrated into mathematics lessons in ways that engage students and that are connected to Dude Perfect videos (Stohlmann 2019). The author describes how he planned and implemented purposeful…

The purpose of this study was to investigate the tessellation performance of 8th-grade students and factors affecting their performance. Student performances have been examined in two dimensions: identification and completion of tessellation. In this context, a diagnostic test containing two main questions with the content of determining whether…

In this article, the author describes how to help develop students' conceptual understanding of fractions through the tactical card-based game Nearest to One. Nearest to One promotes number-sense based strategies for comparing fractions, such as benchmarking (e.g., Is the fraction greater or less than one-half?) and building to the next whole,…

In this edition's Discovery, the problem of interpreting the term "mean" is discussed with examples of the different kinds of mean. Mathematics teachers should therefore use the term "arithmetic mean" when introducing measures of central tendency in statistics. Some various definitions of the term "average" and sports…