This multiple case study explores how two elementary mathematics teachers made themselves and their students comfortable with the teacher delegating authority to students while also positioning them with agency. I conducted three Video-Stimulated Recall (VSR) interviews and pre- and post-semi-structured interviews with each teacher to understand…

There is rising concern in research and practice to improve early years mathematics education as initial mathematical mastery sets the foundation for future academic success. In response to these concerns, this study used observational data from 20 kindergarten classrooms to understand current pedagogies teachers use for mathematics. In…

The COVID-19 pandemic shifted higher education online, drawing attention to synchronous learning and instruction on digital communication platforms. Learner-centered teaching practices in the tertiary level, such as mathematical discussions, have been shown to benefit student learning. The interactions involved in online synchronous mathematical…

This exploratory study reports on how students activated learner-controlled scaffolding and navigated through sequences of connected problems in a digital learning environment. A design experiment was completed to (re)design, iteratively develop, test, and evaluate a digital version of an instructional unit focusing on binomial distributions and…

The purpose of this exploratory study was to determine whether learning preferences of secondary students identified with concomitant learning disabilities (LD) and emotional disturbance (ED) align with the instructional method with which they best learned mathematics. Responses to a preference survey given before and after instruction were…

The Common Core has brought a sharp shift in what it means to be mathematically literate. Becoming mathematically literate is now as much a matter of acquiring mathematical practices as of acquiring any defined set of content standards. This more ambitious definition of literacy presents a challenge not only for students, but also for teachers who…

Seamless Learning shall initiate human learning processes that exceeds lesson and classroom limits. At the same time this approach fosters a self-regulated learning, by means of inspirational, open education settings. Advanced learning materials are easily accessible via mobile digital devices connected to the Internet. In this study it was…

The growing national attention to students' learning trajectories (LTs) renews the opportunity to explore the ways that teachers may use students' thinking in their instruction. In this article, we examine teachers' learning of two frameworks, one for students' thinking in a particular domain and one for broad student-centered instructional…

We designed a video-based course to develop preservice teachers' vision of ambitious instruction by decomposing instruction to learn to attend to student thinking and to examine how particular teaching moves influence student learning. In this study, we examine the influence that learning to systematically analyze ambitious pedagogy in the course…

This paper describes the results of a two-semester-long study of the effects of student-centered instruction on Precalculus courses. We also describe our teaching approaches centering around students, which include a mixture of lectures, student presentations, group work, discussion, and guided investigations. Students were taught with either the…

This study examined how a task-focused, year-long mathematics professional development program influenced elementary school teachers' knowledge, beliefs, and practices. Participants completed 84 h of professional development over 13 months that were focused on exploring, modifying and implementing cognitively-demanding mathematical tasks.…

This two-group, pretest-posttest, quasi-experimental study compared secondary students' learning of Algebra II materials over a 4-week period when identical instruction by the same teacher was delivered through either embedded blended learning (treatment group; n?=?32) or a live-lecture classroom (control group; n?=?24). For both groups,…

The flipped classroom approach was implemented across three semesters of a College Algebra course. This paper is part of a larger design and development research study and focuses on student perceptions of the flipped classroom teaching approach. Qualitative methodology was used to describe how students perceived the instruction of their College…

This article investigates why students reported liking a student-driven learning design better than a highly guided design despite equivalent gains in knowledge assessments in both conditions. We created two learning designs based on the distinction in the literature between student-driven and teacher-led approaches. One teacher assigned each of…

The art of teaching freshmen students is undergoing a rapid paradigm change. Classical forms of teaching are not applicable any more and an unmanageable offer of new multimedia tools and concepts is glutting the market. Moreover, compared to previous courses, the class size triples. In view of these challenges, we implemented a new teaching…