The aim of this study is to reveal and evaluate the attending and interpreting skills of student thinking of prospective teachers, as well as their instructional suggestions as responding skills. The current study was conducted with 29 prospective mathematics teachers (PMTs) within a qualitative design in the context of probability. First, three…

This article reports on a national survey of post-secondary mathematics instructors (n = 458) of mathematics courses designed for elementary teachers. The article links the use of various instructional practices to instructor characteristics. Specifically, there were statistically significant differences in reported use of class time depending on…

In this article, the authors share their favorite "Construct It!" activity, which focuses on rate of change and functions. The initial approach to instruction was procedural in nature and focused on making use of formulas. Specifically, after modeling how to find the slope of the line given two points and use it to solve for the…

Statistics anxiety is a reality among many students that may affect their academic and professional lives. Although there are instructional strategies proven to demonstrate advanced statistical concepts, a method to mitigate statistics anxiety in introductory courses is lacking. This research examines the effectiveness of three interventions used…

Purpose: Research shows that postsecondary students are largely unaware of the impact of algorithms on their everyday lives. Also, most noncomputer science students are not being taught about algorithms as part of the regular curriculum. This exploratory, qualitative study aims to explore subject-matter experts' insights and perceptions of the…

Teacher education programs are pivotal in the professional preparation and formation of pre-service secondary mathematics teachers (PSMTs), but there appears to be a lack of understanding of how best to prepare PSMTs for the profession. The purpose of this study was to examine and monitor changes over time in PSMTs' views about approaches to…

This study addressed the challenge of connecting elementary teacher candidates' course work and fieldwork in order to foster a cohesive experience in learning to teach mathematics. In this study, a Mediated Field Experience was designed for five elementary teacher candidates in their internship setting. The study utilized qualitative methods to…

Construct maps and related item type frameworks, which respectively describe and identify common patterns in student reasoning, provide teachers with tools to support instruction built upon students' intuitive thinking. We present a methodological approach--embedded within common assessment development processes--for developing such construct maps…

This paper explores student emotion and learning experiences fostered by lecturing-style instruction in Real-Analysis problem-centered lessons. We focus on two lessons that were taught by two reputable instructors and involved challenging, mathematically-related problems the students did not understand. Nonetheless, one lesson evoked negative…

Although research highlights the importance of analyzing the geometric work of teachers, there are few validated instruments in this line. This study presents the processes of design and validation of a forced-choice questionnaire that allows the characterization, from a theoretical basis, of how geometry teachers organize their teaching practice.…

This article describes the outcomes of using a scaffolded set of two digital, simulation-based approaches to support secondary mathematics and science preservice teachers (PSTs) in learning to facilitate argumentation-focused discussions. The researchers investigated PST and teacher educator (TE) impressions of the experience and collected…

The aim of this study is to reveal the impact of Inquiry-Based Learning (IBL) on students' ability to come up with the rules of divisibility themselves and on their academic achievement in the 8th grade Mathematics course as well as to obtain students' views on the learning and teaching process, through the use of a mixed-methods sequential…

The presented article is dedicated to a new way of teaching substitution in algebra. In order to effectively master the subject matter, it is necessary for students to perceive the equal sign equivalently, to learn to manipulate expressions as objects, and to perceive and use transformations based on defining their own equivalences. According to…

For educators, identifying and characterising problems in their teaching practice is essential for triggering inquiries into their practice. Knowing what educators consider problematic is essential for generating strategies for situated approaches to help teacher educators manage their problems and promote professional learning. In this study, we…

Preservice elementary teachers' attitudes towards mathematics are often negatively influenced by their K-12 education. Accordingly, teacher educators must allow preservice elementary teachers to experience mathematical instruction differently to change their attitudes toward mathematics and their conceptions about what it means to teach and learn…