March 2020 changed the world of learning. Ever since, students have been relying on remote lecturers, virtual fellow students, and electronic learning material. For many, this greatly differs from how they used to learn before and even though technology is incremental to students' everyday life, many are not familiar with using technology for…

The paper is the result of extensive research carried out among Czech students and focuses on a conception of infinity. The questionnaire survey was taken by 861 students ranging from grades 7 to 13. The aim of the research was to describe the development of students' conceptions of infinity. These conceptions are built on the intuitive phenomenon…

The growing body of empirical studies on discourse in mathematics education have drawn on, broadly, sociocultural or situated views of learning but do not make issues of power central and/or explicit. For this reason, then, we situate the present analysis within the intersection of two bodies of literature: professional development focused on…

We present an analysis of three 9th grade integrated mathematics lessons in which a group of teachers and researchers redesigned a sequence of lessons with the goal of engaging a linguistically diverse group of students in productive and powerful discussions (Herbel-Eisenmann et al. 2013). The three lessons were part of a design experiment. Two…

This article explores teaching practices described in NCTM's [National Council of Teachers of Mathematics'] "Principles to Actions: Ensuring Mathematical Success for All." Investigating and mitigating implicit bias in questions are discussed in this article, which is another installment in the series.

In this multicase study (Stake, 2005), I studied a semester-long online implementation of the "Mathematics Discourse in Secondary Classrooms" (Herbel-Eisenmann, Cirillo, et al., 2017) (MDISC) teaching professional development (T-PD)--slightly modified for the university context--which I offered to three mathematics-teaching graduate…

The paper describes one problem solving strategy -- the Use of false assumption. The objective of the paper is to show, in accordance with Phylogenesis and Ontogenesis Theory, that it is worthwhile to reiterate the process of development of the concept of a variable and thus provide to pupils one of the ways helping them to eliminate usual…

In mathematics classrooms, teachers are often the authority as a knower of mathematics. To support students to develop their identity as doers of mathematics, teachers need to decenter the authority and to place students in a more powerful position as autonomous thinkers. Building on the work of Herbel-Eisenmann and colleagues (2013), this paper…

By applying a conversation analytic approach to analyze the fine-grained manifestation of authority in classroom interaction, we examine the interaction between a teacher and a student while the student presented a solution at the whiteboard. This case highlights the complexity of shared authority and the ways that authority is construed by…

This article describes two heuristic strategies for problem solving: the "use of false assumption" strategy and the "use of double false assumption" strategy. Both of these strategies have their roots deep in history. In this article, we define these two strategies and illustrate their use in a problem developed by Frances…

Public media both reflects and shapes societal perceptions and attitudes. Teachers and others around students in mathematics classrooms have expectations for the students, projected with what appears in these media. We are most concerned about the expectations placed on students who are identified with minoritized groups--particularly students who…

Understanding how mathematics preservice teachers (M-PSTs) learn about issues of equity is essential to addressing the inequities that persist in mathematics education. In this article, we use (Gutiérrez, in: Herbel-Eisenmann, Choppin, Wagner, Pimm (eds) Equity in discourse for mathematics education: theories, practices, and policies, Springer,…

This paper examines turn-by-turn interactions [Wagner, D., & Herbel-Eisenmann, B. (2014). Mathematics teachers' representations of authority. "Journal of Mathematics Teacher Education," 17(3), 201-225. doi:10.1007/s10857-013-9252-5] in mathematics professional development, looking specifically at facilitators' positioning of…

We designed grip strength standards for youth by back-extrapolating cutpoints based on weakness at age 65. Existing standards, based on insufficient bone mineral content (BMC), were also compared in a nationally representative sample. Altogether, 6837 participants (n = 2199 [less than or equal to] 18.9 years of age) from the National Health and…

We identify storylines about youth from minoritized cultures and/or languages in Norwegian news media to identify positionings made available to migrated and Indigenous mathematics students in this public discourse. Our search from 2003-2020 in a Norwegian media database including newspapers, journals, tabloids, etc., identified 1896 articles,…