Structural questions about the undergraduate political science major have spurred debates in the field for more than thirty years. Today, resurgent growth of unusually sharp threats to American democracy fuel familiar curricular questions with new urgency. However, the combined effects of inertia, bureaucratic hurdles, and resource constraints…

Situated in sociocultural theories of language and literacy, the authors describe an approach to teaching nonfiction text to emergent bilinguals (EBs) through the strategic use of a reading protocol. The protocol focuses on "where" reading text is positioned in a learning sequence and "how" students engage with these texts.…

The study of mathematics is often described as the science of patterns (Resnik 1981), and the cognitive tasks involving the search, recognition, and assessment of patterns are fundamental to learning mathematics. Patterning activities lead students to a better understanding of dependent relations among representations, create a transparent way for…

Our work focuses on the transition from high school to university in the field of calculus. In France, recursive sequences are studied as one of the classical exercises in both institutions. Their studies use different theorems and notions, such as functions, convergence, monotonicity, induction, etc. The work expected at this transition requires…

A multi-perspective, exploratory framework applicable to all critical thinking, creative and communication acts, 3D-Briefing synthesizes meticulous enquiry questions with a user-focused, equitable stance toward meaning production. It scaffolds identification, interpretation, evaluation, reflection and action in a user-empowered, three step process…

A key motivational tactic in undergraduate mathematics teaching is to launch topics with fundamental questions that originate from surprising or remarkable phenomena. Nonetheless, constructing a sequence of tasks that promotes students' own routes to resolving such questions is challenging. This note aims to address this challenge in two ways.…

The Personal Responsibility Education Program (PREP), authorized by Congress in 2010, is one of the largest federally funded programs designed to prevent adolescent pregnancy and sexually transmitted infections and prepare youth for successful transition to adulthood. PREP legislation requires grantees to incorporate into their programs content on…

The purpose of this article is to present and discuss two recommended sequences of learning the areas of polygons, starting from the area of a rectangle. Exploring the algebraic derivations of the two sequences reveals that both are valid teaching progressions for introducing the area formula for various polygons. Further, it is suggested that…

We designed a sequence of courses for the DataCamp online learning platform that approximates the content of a typical introductory statistics course. We discuss the design and implementation of these courses and illustrate how they can be successfully integrated into a brick-and-mortar class. We reflect on the process of creating content for…

Classroom methods that facilitate student learning from iteration have received little attention from scholars. Iterative learning requires students to repeat a problem-solving task in new contexts each time applying lessons from previous applications. Iterative learning formats improve students' learning outcomes and help instructors ensure that…

Many mathematics departments have instituted transition-to-proof courses for second semester sophomores to help them learn how to construct proofs and to prepare them for proof-based courses, such as abstract algebra and real analysis. We have developed a way of getting students, who often stare at a blank piece of paper not knowing what to do, to…

An investment in early childhood education pays off when the benefits continue into adulthood. Although many recent preschool interventions have had positive, short-term effects on young children's language, literacy, mathematics, executive function, and social-emotional development, studies show that related gains in cognitive and academic skills…

A primary goal of introductory statistics courses is to develop a student's ability to think statistically. To motivate students to this end, the literature suggests that statistics courses use exercises that are relevant and familiar to students. Work in educational psychology highlights the importance of connecting new concepts to pre-existing…

A problem sequence is presented developing the basic properties of the set of natural numbers (including associativity and commutativity of addition and multiplication, among others) from the Peano axioms, with the last portion using von Neumann's construction to provide a model satisfying these axioms. This sequence is appropriate for…

When projects are the spine of a course, they are systematically sequenced one after the other, and they do the heavy lifting of the course. They teach its core content and skills. The author has been testing this model of course design for several years, aiming for experiential learning that is tied to deep rather than superficial learning of…