The aim of this study was to examine how pre-service teachers performed in tasks related to three specific aspects of curricular noticing. The participants completed a two-part written task in which they solved three pattern generalization problems and sequenced them for teaching purposes. Inductive content analysis was used to analyze the…

Mathematics pre-service teachers (PSTs) need opportunities to learn best practices in teaching mathematics, e.g., productive struggle. Productive struggle happens when students work through challenging problems that are not straightforward. This paper describes mathematics PSTs' engagement with productive struggle in a mathematics methods course.…

In 2014 NCTM advocated for productive struggle by expressing the need for teachers to allow their students the time necessary to grapple with their mathematical "uncertainties." We posit pre-service teachers need opportunities to productively struggle when learning and applying their mathematical understanding in order to understand how…

Due to the increasing popularity of STEM education, preservice preparation colleges have also become more important for training teachers. This study involved (25) preservice teachers completing STEM-based lesson plan training sessions during a mathematics teaching methods course. This study seeks to describe and gather opinions regarding the…

The main purpose of this study was to describe the development and use of a flowchart for preservice chemistry teachers' problem solving on the First Law of Thermodynamics. Twenty-seven undergraduate preservice chemistry teachers attending a Physical Chemistry course participated in this study. The responses of the participants to the set of test…

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 study used units coordination as a theoretical lens to investigate how whole number and fraction reasoning may be related for preservice teachers at the conclusion of a math methods class. The study contributes quantitative evidence that units coordination provides a common foundation for both mathematical knowledge for teaching whole number…

This essay highlights the value of an applied methodology course in program evaluation in the education doctorate program by exploring several benefits that it offers to enhance a doctoral student's ability to solve complex problems of practice. Observations and recommendations are made based on designing and teaching two cohorts of EdD students…

Mathematical writing is one way for primary students to communicate their mathematical thinking. Research in the field of writing has shown that to become an effective teacher of writing, preservice teachers must have experience engaging in the kinds of writing given to their students. The study reported in this paper explored how 27 preservice…

First-year elementary pre-service teachers usually conduct field observations but are barely offered opportunities to engage in well-structured teaching situations. In the current study, we implemented mixed-reality simulations (MRS) in a mathematics methods course to improve elementary pre-service teacher's abilities to elicit, question, and…

The analysis of word problem types and schema-based diagrams are assumed useful for helping students and thus, important for preservice teachers to learn in their preparation programs. Drawing on pre-and post-assessments and videotaped demonstrations, this study analyzed elementary preservice teachers' understanding of addition and subtraction…

Prospective and practicing elementary teachers have historically demonstrated anxiety about mathematics, which can affect their mathematics teaching and their students' math anxiety. Yet, developing productive dispositions prior to teacher preparation programs is rarely addressed in the research. We propose mindset messaging in mathematics courses…

This article describes how one PDS Partnership met the challenges and demands of the Covid-19 pandemic and how these challenges impacted all members of our partnership. Creating a virtual third space was a learning curve for all of us and took collaborative problem solving and support for one another. Each of the challenges of creating a virtual…

This paper details an exploratory study of ten elementary preservice teachers (PSTs) involvement in the problem-solving process in a mathematics methods course. The dynamic, messy and nonlinear nature of this process was demonstrated by discussing PSTs' solution process of an open box construction problem. Effective approaches to solve this…

This paper presents research that exists at the crossroad of scholarly practice and scholarly inquiry. We outline the process in the design, enactment, and empirical examination of an elementary methods course activity, Exploring and Supporting Student Thinking (ESST), which engaged 18 elementary prospective teachers (PTs) in two sessions of…