It may sound strange, but in today's mathematics classroom, teachers are encouraged to have students struggle. This struggle, however, is not what might come to mind upon first hearing the word. The struggle I refer to here is what researchers have termed "productive struggle," which is present when students must persevere in solving…

At a research university near the east coast, a college algebra class has been restructured into two large lectures a week, an active recitation size laboratory once a week, and an extra day devoted to active group work called Supplemental Practice (SP). SP was added as an extra day of class where the SP leader has students work in groups on a…

Given growing systemic investment in the designing of new learning spaces, researching the relationships between physical space and learning and teaching processes is imperative. Researching innovative learning spaces is challenging, therefore the aim of this paper is to demonstrate a pedagogical characterization based on a three-dimensional…

Covariational reasoning and the creation and interpretation of graphs of covariational situations are important skills in math and science. Unfortunately, research shows that students often struggle to make meaningful connections between graphs and the covariational situations they represent. Educational activities designed to help students…

This article explores the effectiveness of the pedagogical practices associated with the cognitive load theory and the van Hiele theory, which are two theories from cognitivism and constructivism perspectives, respectively. Following a quasi-experiment, the quantitative analysis of 157 high school students' responses to pre, post, and retention…

Novice programmers need well-designed instruction and assessment informed by research and critical perspectives to conquer the historical challenges associated with completing introductory computer programming courses successfully. These issues include high dropout and failure rates, the struggle to acquire and retain basic programming knowledge,…

This study contributes to team science and competency development by comparing demonstrated teamwork skills by engineering students participating in disciplinary and cross-disciplinary team projects. Teamwork skills are key competencies necessary to solve complex technical challenges in the workplace. Despite prior efforts to enhance these…

Spanish educational curriculum adopts a mathematical process-based approach, which encompasses problem solving, reasoning and proof, communication, connections and representation. A fundamental role in the integration of these processes in mathematics teaching is played by teachers' professional practice of designing tasks. According to this, our…

Playfulness as a learning technique is applied into the present research in a group of adult learners. Initially, a game scenario was designed and implemented for the subject of microeconomics. Following a qualitative research methodology, through observation and interviews with ten participants before and after the playful activity, the results…

This study examines secondary mathematics teachers' anticipations of student responses related to a series of cognitively demanding mathematics tasks from multiple mathematical domains presented in the context of voluntary and asynchronous online professional development modules. We analyze 283 anticipations made by 127 teachers to 17 mathematics…

Scheduling of practice to create a spacing effect has been observed to lead to superior retention of L2 vocabulary and grammar. Two of the various methods of scheduling L2 task practice discussed widely in recent times are interleaving and blocking. In a desirable difficulty framework, both of these methods have been recommended for task…

Concept-heavy courses such as Biochemistry in life and physical science curricula are challenging for many college-aged students. It is easy for students to disengage in a lecture and not learn the subject matter while in class. To improve student learning and participation, we employed a flipped format for the first half of the course and…

Form-Focused Instruction (FFI) has been extensively studied, yet past experimental results are often inconsistent or even contradictory. Overly simplistic examinations of grammatical complexity and learner characteristics (e.g., L2 English proficiency) may have fueled the confusion, limiting understanding of how different FFI techniques can be…

Over a century of research on postsecondary learning has documented that students often struggle with the academic literacy demands of college. Academic literacy tasks are the subset of all academic tasks that involve reading and writing and are rooted within larger cultural practices. These demands are challenging, complex, and varied, so…

Learning-by-teaching is a generative learning strategy in which students are asked to teach what they are learning to others (Fiorella & Mayer, 2015). In this study, college students watched a multimedia lesson on chemical synaptic transmission with instructions that afterward they would explain the materials by making a lecture video…