This position paper examines the phenomenon of the McNamara Fallacy to analyse flawed conceptions of "success" in mathematics learning, normalised assessment structures and their implications for mathematics education. The established presence of the McNamara Fallacy and the ramifications of this statistical fallacy provide a foundation…

This article explores the implementation of Olga Torres's Rights of the Learner (Torres's RotL) framework in a 100-level undergraduate mathematics course, particularly focusing on assessment practices. Torres's RotL framework offers a means to center students' voices, mathematical thinking, and humanity in the classroom. The article delves into…

In Intelligent Tutoring Systems (ITS), methods to choose the next exercise for a student are inspired from generic recommender systems, used, for instance, in online shopping or multimedia recommendation. As such, collaborative filtering, especially matrix factorization, is often included as a part of recommendation algorithms in ITS. One notable…

There are many choices for learning mathematics for engineering students with courses available in face-to-face, blended and fully online modalities. Students are demanding more flexibility in their programs, however the temptation to misuse this flexibility to avoid mathematical studies until it is too late can be an unfortunate side effect. A…

The paper applies Goffman's frame analysis and ethnomethodology to student performance on mathematical word problems. In educational research, frame analysis has usually been limited to primary frames. Instead, in this paper I focus on the kind of secondary frame that Goffman calls 'utilitarian make-believe'. The data consist of a fragment of…

The Common Core State Standards for mathematics promote ideals about learning mathematics by providing specific standards focused on conceptual understanding and incorporating practices in which students must participate to develop conceptual understanding. Thus, how we define learning is pivotal because our current definition isn't aligned with…

This article addresses the conceptual question "what is lesson study?" as an issue that arises in the context of the globalisation of lesson study as a method for improving teaching and learning beyond its presumed origins in the Japanese education system. To what extent can adaptations of the method in different national settings be…

The authors of this article consider Western teaching and learning alongside Confucian teaching and learning through reviewing the literature. The paper emphasizes that we must teach lower order thinking skills first before we teach higher order thinking skills, and confirms that rote learning and memorization precede critical thinking and…

The results from tests set as part of a large mathematics teaching development project are explored using both quantitative and qualitative methods to seek differences in performance between boys and girls. The outcome appears to confirm the theory developed from earlier research into gender differences that there might be a tendency for girls to…

This article presents a review of the "Process Assessment of the Learner-Second Edition" (PAL-II), an individual or group-administered instrument designed to assess the cognitive processes involved in academic tasks in kindergarten through sixth grade. The instrument allows the examiner to identify reasons for underachievement and…

This mixed-methods study investigates the effects of student attitudes and behaviours on the outcomes of learning mathematics with computer tools. A computer tool was used to help students develop the mathematical concept of function. In the whole sample (N = 521), student attitudes could account for a 3.4 point difference in test scores between…

This paper investigates how monitoring the time spent on a question in a test of basic mathematics skills can provide insights into learning processes, the quality of test takers' knowledge, and cognitive demands and performance of test items that otherwise would remain undiscovered if the usual test outcome of accuracy only format…