Even when using mixed-ability grouping--grouping students so that students with a range of mathematical thinking work together--there is potential to position some students as more capable than others. In this article, the authors describe two approaches to mixed-ability grouping, providing examples of how teachers using those approaches describe…

The transformation of China's education reform from extensive to connotative development involved a shift from characteristically exogenous and late development to endogenous and spontaneous development. The mechanism behind the shift from rationalism to universalism has resulted in tension between extension and intension in the process of…

Knowledge-making in universities is shaped by conventions that neglect and/or suppress less conventional kinds of knowledge that may hold viable solutions to society's problems. Knowledge always has political interests, and close-up research on knowledge-making can liberate marginalized ideas, by exposing how they push against and beyond…

Culturally sustaining pedagogy (CSP) that builds on and sustains students' cultural and linguistic practices is important for students' academic achievement and identities. While CSP is applicable to any content area, a critical time to incorporate it is during differentiated reading groups--small-group contexts that provide explicit code-based…

Over three decades ago, National Council of Teachers of Mathematics (NCTM, 1991) proposed that "for students to develop the ability to formulate problems, to explore, conjecture, and reason logically, to evaluate whether something makes sense, classroom discourse must be founded on mathematical evidence" (p. 34). As math interventionists…

Purpose: The purpose of the current application paper is to integrate previous literature with recent results from practitioners on effective practices for utilizing small groups in the leadership classroom. Design/methodology/approach: We use these integrated findings to innovate practice on maximizing the role of undergraduate teaching…

This activity leverages the use of a single case study to explain conflict mapping and find an optimal solution to the complicated challenges posed by the situation in Nauru, an island country that is now participating in seabed mining operations. In groups, students are given a chance to participate in two discussions: one within their respective…

In this invited Viewpoint, Sharon Walpole tracks her thinking about feasible, effective, small-group differentiated instruction. She acknowledges political pressures and the focus on science of reading. She describes the attractiveness and feasibility of guided reading. She then identifies some salient criticisms of the assessments, texts, and…

Data literacy enables teachers to use information collected about students and their learning to take data-informed instructional action. This article outlines two approaches developed by teachers to provide teaching targeted to the immediate needs of specific students that moved beyond "gap-filling". The pre-teaching and "fresh…

This paper introduces a process of reading, reflection, and discussion used by two white faculty teaching at predominately white institutions to address challenges to equity in their introductory astronomy courses. The conversations focused on the context of large introductory courses, where individual instructors may lack resources and agency to…

The educational benefit of the traditional didactic lecture to learners in Higher Education is hotly debated. Given increasing student numbers, existing technical set ups and many logistical concerns, lectures remain the norm in many Higher Education Institutions (HEIs). In this personal view piece, we discuss the benefits, opportunities, and…

This article examines the ways in which interdisciplinary small groups were used in a school setting in order to drive students' "joyful engagement and" literacy instruction. Drawing from the work of Dr. Gholdy Muhammad in "Cultivating Genius" (2020) and "Unearthing Joy" (2023) we designed and implemented a summer…

The algebraic group Spin[subscript 3 × 3] arises from spinning collections of the numbers 1-9 on a 3×3 game board. The authors have been using this group, as well as a corresponding online application, to introduce undergraduate students to core concepts in group theory. We discuss the benefits of using this deceptively simple, toy-like puzzle in…

Understanding how farmers prefer to learn is critical for the development and delivery of successful extension programming. Therefore, Michigan State University Extension specialists conducted an interactive hands-on demonstration workshop (Potato University) addressing pressing issues to Michigan potato production at the Michigan Winter Potato…

Centers for teaching and learning (CTLs) have increasingly been attending to diversity, equity, inclusion, justice, and access (DEIJA), offering myriad programs for instructors to learn how to make their teaching more welcoming and effective for all students. Yet considerations of disability continue to lag behind in higher education, and…