In this participatory research, two pre-service teachers (PSTs) and a mathematics teacher educator (MTE) collaboratively analyzed multiple voices that influence syllabi from elementary mathematics teaching methods courses. Findings suggest syllabi fall along a continuum from harmonious to dissonant orchestration of the voices of past and present…

If we envision a future for Black young learners where their full humanity is honoured and educators facilitate rigorous science, technology, engineering, and mathematics (STEM) learning experiences that are justice-focused, "we must disrupt systemic racism now." In this article we discuss how anti-Blackness is pervasive in science and…

This article reports on the findings of manipulative analyses performed by preservice and in-service teachers in an early childhood teacher education program mathematics methods course. The activities are intended to model and promote mathematical analyses for better discrimination between mathematics manipulatives by early childhood teachers.…

In this paper, we argue that to prepare pre-service teachers for doing complex work of teaching like leading classroom mathematics discussions requires an implementation of different pedagogies of teacher education in deliberate ways. In supporting our argument, we use two frameworks: one curricular and one pedagogical. The curricular framework is…

As it is already observed by mathematicians and educators, there is a discrepancy between the formal techniques of mathematical logic and the informal techniques of mathematics in regards to proof. We examine some of the reasons behind this discrepancy and to what degree it affects doing, teaching and learning mathematics in college. We also…

This paper builds on Grossman's notion of approximations of practice as scaled-down opportunities for preservice teachers to learn to teach by doing. The authors propose the use of media rich, collaborative web-authoring tools for preservice teachers to create, complete, or edit scenarios in which they practice particular activities of teaching,…

Vocabulary understanding is a major contributor to overall comprehension in many content areas, including mathematics. Effective methods for teaching vocabulary in all content areas are diverse and long standing. Teaching and learning the language of mathematics is vital for the development of mathematical proficiency. Students' mathematical…

Traditional lecturing is the dominant method of teaching mathematics in undergraduate mathematical courses in many countries, whereas active student-centered approaches such as inquiry-based learning have been shown in some instances to be more effective. Most teaching resources (inquiry-based tasks) available at the tertiary level are related to…

This paper explores the use of a mediated field experience (MFE) for teacher candidates in a middle school setting, a small laboratory school. This work focuses on adjustments made for the MFE to function in an online environment during remote instruction caused by a worldwide pandemic. Teacher candidates completed a learning cycle focused on…

This study compared content knowledge for teaching mathematics differences between elementary pre-service teachers in a traditional versus an experimental mathematics methods course. The experimental course replaced 20 minutes of traditional methods, each class, with an intervention of elementary mathematics content. The difference between groups…

This commentary highlights the contribution that careful and systematic analyses of curriculum or content standards can make to questions and issues important in the mathematics education field. We note the increased role that curriculum standards have played as part of a standards-based education reform strategy. We also review different methods…

This paper adopts a rhetorical perspective in order to examine language about children in the discourse of mathematics education through a study of metaphor. Previous research has tended to emphasize the notion of "beliefs", which locates responsibility for problematic conceptions of children within the heads of individuals, particularly…

In his "Proofs and Refutations," Lakatos identifies the "Primitive Conjecture" as the first stage in the pattern of mathematical discovery. In this article, I am interested in ways of reaching the "Primitive Conjecture" stage in an undergraduate classroom. I adapted Realistic Mathematics Education methods in an…

An elementary mathematics teacher once argued that she and her students held four Rights of the Learner in the classroom: (1) the right to be confused; (2) the right to claim a mistake; (3) the right to speak, listen and be heard; and (4) the right to write, do, and represent only what makes sense. Written as an emerging framework to promote…

The paper deals with the problems of the relationship between the practice of STEM education, which focuses only on scientific disciplines, knowledge, skills and abilities, and opposing views according to which educational practices consisting of scientific or academic disciplines such as STEM and educational practice focus on morality, values and…