This reflection paper challenges current test scoring practices on the grounds that most wrong-answer selections are thoughtful not random, presenting research supporting this proposition. An alternative test scoring system is presented, described and its outcomes discussed. This new scoring system increases the number of variables considered,…

In the present study we analyze how students reason about or make inferences given a particular hypothesis testing problem (without having studied formal methods of statistical inference) when using Fathom. They use Fathom to create an empirical sampling distribution through computer simulation. It is found that most student´s reasoning rely on…

This paper offers specific implications for teaching and learning and brings into conversation ideas from ethnomathematics (including Western mathematics), postcolonial theory, aesthetics, biology, and Indigenous knowledge in order to propose a new vision for practicing mathematics, what I call mathematx. I build upon the work of sustainability in…

In this paper I take up the questions posed by the conference organisers with respect to what we have learned and where we are going in technology-based research in mathematics education research. I begin by troubling the metaphors of crossroads and intersections and argue--through a wide range of considerations in relation to past research, to…

This paper offers a new way of understanding critical multicultural education through the lens of bi-directional assimilation (Alba & Nee, 2003), which better captures the connection between the pedagogical strategy of multiculturalism, and nation-building in a pluralist society. Bi-directional assimilation is a process of ethnic change…

Distance learning can provide greater access to educational opportunities. However, the quality of teaching and learning in distance learning continues as a challenge due, at least in part, to the demands for more substantive and systemic instructional design to account for the limits imposed by human distance. Interaction has been identified…

Using a critical race lens perspective, this paper aims to analyze how Black and Latinx graduate students of color in STEM fields narrate their experiences in graduate programs. The data suggests that graduate programs have created a colorblind environment that gives the illusion of equality, leaving students of color at a disadvantage when it…

In this paper we will examine mathematics education using practice theory. We outline the theoretical and philosophical ideas that have been developed, and in particular, we discuss the "sayings," "doings," and "relatings" inherent in the teaching and learning practices of mathematics education. This theorising is…

Problem Statement: A revision of literature shows that there are studies focusing on student and teacher perceptions of classroom atmosphere; however, no research has been found to be related to teacher candidates' perspectives on their behaviors in terms of positive classroom atmosphere. As teacher candidates are the main subject and the future…

This lecture argues that the politicisation and instrumentalisation of the university caused by neoliberal frames has as a result the depoliticisation of knowledge and of the academic as individual. This depoliticisation has turned academic freedom into a right to disengage not only from the political fight around these issues but also from the…

Although non-cognitive facets--such as interest, attitudes, commitment, self-concept and so on--of are prevalent in contemporary theoretical modeling of competence, they are often neglected in measurement approaches or measured only by global self-report questionnaires. Based on the well-established experience sampling method (ESM) and following…

Interest in understanding mathematics teaching and learning phenomena, and to develop new and effective methodologies to teach Differential Calculus and Linear Algebra led me to look for ways to dialogue between APOS Theory and other mathematics education theories. This enterprise has facilitated a better understanding of them. Bridges between…

This report discusses the results of semi-structured clinical interviews with ten prospective secondary mathematics teachers who were provided with dynamic images of Ferris wheels. We asked the students to graph the relationship between the distance a rider traveled around the Ferris wheel and the height of the rider from the ground. We focus on…

This report presents dual analyses of an undergraduate student, Cassie, whose work provides nice contrasts between Grounded Theory (GT) analysis and Knowledge Analysis (KA). The analyses highlight particular methodological differences, such as grain size of findings, positioning of novices and more general implications about expert-novice studies.…

Courseware designers aim to innovate information communications technology (ICT) tools to increase learning experiences, spending many hours developing eLearning programmes. This effort gives rise to a dynamic technological pedagogical environment. However, it is difficult to recognise whether these online programmes reflect an instructional…