In this collaborative, multi-voice paper we tell the story of our design collaboration. By describing the process of one design team of teacher educators, we offer a template of what it means to center teachers' lives and experiences as we design professional development with and for them.

Two studies were conducted to examine and compare the construct validity of scores on the Junior Metacognition Awareness Inventory (JMAI) and problem-solving interview protocols. Participants consisted of 183 middle and high school students attending a university summer program for academically talented youth. Study 1 results indicated that JMAI…

Elementary prospective school teachers (PSTs) often struggle to understand why they need to relearn the mathematics that they think they already know. In this set of replication studies, I address this struggle in 3 ways: First, by increasing and varying the participant pool, I replicate Thanheiser's (2009) study, which shows that PSTs do not yet…

The purpose of this study was to gain insight into 30, first year calculus students' understanding of the relationship between the concept of vertex of a quadratic function and the concept of the derivative. APOS (action-process-object-schema) theory was applied as a guiding framework of analysis on student written work, think-aloud and follow up…

Mathematical abstraction is an important process in mathematical thinking. Also, visualization is a strong tool for searching mathematical problems, giving meaning to mathematical concepts and the relationships between them. In this paper, we aim to investigate the role of visualizations in mathematical abstraction through a case study on five…

This paper reports on a professional development activity (PD) for course leaders, which was designed within the European project Primas (2010-13, www.primas-project.eu). Primas aimed at the implementation of inquiry-based learning (IBL) in day-to-day teaching on a large scale. The focus is on the education of mathematics course leaders in…

Considering that learning belongs primarily to the student, student self-regulation capacity is essential to ensure mathematics learning. Poor self-regulation limits students' mathematical performance and their ability to participate fully in classroom discourse. By enhancing self-regulation it is possible to improve students' equitable…

The importance of developing students' mathematical thinking is frequently highlighted in literature regarding the teaching and learning of mathematics. Despite this importance, most curricula and instructional activities for undergraduate mathematics fail to bring the learner beyond the mathematics. The purpose of this study was to enhance…

Questioning has an important role in teaching mathematics. There is current research about questioning, especially related to class discussion and students' responses. Some researchers suggest teachers pose any kind of questions in mathematics classroom regarding problem solving and mathematical creativity. This research focused on a teacher's…

Engineering design places unique demands on teachers, as students are coming up with new, unanticipated ideas to problems along often unpredictable trajectories. These demands motivate a responsive approach to teaching, in which teachers attend their students' thinking and flexibly adapt their instructional plans and objectives. A great deal of…

Mathematics teachers interact with resources of various kinds in their work in and out of class. The documentational approach of didactics is a theoretical approach that has been elaborated to investigate these interactions and their consequences in terms of teachers' practice and teachers' beliefs in particular. According to this approach, using…

The belief that mathematics ability is a fixed trait is particularly common and may be a key reason for many students' disinterest and underperformance in mathematics. This study investigates how mathematics teaching practices might contribute to students' beliefs about mathematics ability being a fixed or malleable trait (mindset). Through a…

This paper presents findings from a larger research project that provides insight into the attitudes of high-school students who were taught using different types of mathematics curricula when they were in middle school. A total of 44 12th-grade students from 10 high schools in the same urban school district were interviewed. Eighteen (41%) of…

Proportional relationships and geometric similarity are two of the critical topics in school mathematics. Students and even teachers often struggle with recognizing the proportional relationships in geometric similarity problems. The purpose of this study was to investigate preservice middle-grades mathematics teachers' (PSTs) strategies when…

This paper explores the viability and development of the first edition of the researcher's mathematical card game, Groups, as a learning tool for elementary group theory, a topic in abstract algebra. "Groups" was play-tested by six undergraduate students in late 2016 who provided feedback on "Groups" from both utility-centric…