We introduce the "Whitehead complex", a one-complex associated to a finite regular cover of the rose and show that it is connected if and only if the fundamental group of the associated cover is generated by its intersection with the set of elements in proper free factors of the fundamental group of the rose. The Whitehead complex admits…

The study investigates how the 2×2 configuration of homogeneous and heterogeneous distributions of extraversion and prior knowledge influences group outcomes, including satisfaction, performance, and stability. Based on the standard deviation of extraversion and prior knowledge, groups were established to test experimentally, what form of grouping…

This study examines the efficacy of a redesigned induction session to enhance and sustain student connectedness, addressing ongoing concerns relating to student isolation. We socially engineered the group formation process prior to students undertaking a group activity at undergraduate business induction sessions. The intention of the activity was…

Cohort scheduling intentionally places students in the same sections of several classes (e.g., biology, algebra, and writing) with a consistent peer group and is typically done for small groups (<30 students) to enable better interaction among students. The goal of this study was to compare cohort scheduling to traditional scheduling methods…

In this preregistered within-teacher randomized controlled trial (n = 84), we tested the effects of grouping English learners (ELs) in homogeneous groups (all ELs) versus heterogeneous groups (ELs and non-ELs) on language, reading comprehension, and argumentative writing. Findings indicated no significant main effects of grouping. However,…

This study aimed to investigate the relationship between Iranian EFL learners' interpersonal and intrapersonal intelligence and their speaking ability. To achieve this aim, 30 Iranian EFL learners whose level of proficiency was intermediate participated in this study. The participants' general English knowledge was measured via Oxford Quick…

Background/purpose: This study aimed to investigate the impact of pedagogical variation on student academic achievement in science among basic school students in Jordan. Specifically, it compared the Traditional Method (TM) and the Homogenous Groups Method (HGM) to address the need for improved teaching strategies that cater to students' learning…

'Group work' is a vague description of an instructional activity, because many factors shape its character and effect on students. One important factor is group formation, that is, how groups are formed by the instructor. In this paper, we sought to better understand the variation of group work with respect to group formation by addressing: How do…

Purpose: The purpose of this study was to develop the augmented reality (AR) educational program combined with the instructional guidance for supportive learning, which enhanced the thinking process cooperative discussion and problem-solving skills in chemistry subject. Design/methodology/approach: The method used the quasi-experimental research…

Objective: The study examines how Korean American and immigrant youth interpret the Black-White binary in U.S. history and social studies curricula. Method: Task-based interviews were conducted with 23 Korean-heritage students from two Midwestern cities. The study used Asian Critical Theory (AsianCrit) and sociocultural theory as frameworks for…

Drawing on interviews with parents of public-school students in who joined learning pods for the 2020-21 school year, this paper argues that the COVID-19 pandemic may have had a narrowing effect on the worlds of children in ways that increase their socio-spatial isolation along vectors of race and class. Interviews with parents who started…

University First Year Seminar (FYS) programs are diverse in their content and pedagogy. Yet all seek to assist first-year students in the difficult college transition. The purpose of this pilot study was to evaluate if grouping similar academic majors into the existing First Year Seminar (FYS) courses would improve social connectedness, use of…

High-achieving minority students have fewer friends than their majority counterparts. Exploring patterns of friendship formation in the Add Health data, we find strong racial homophily in friendship formations as well as strong achievement homophily within race. However, we find that achievement matters less in cross-racial friendships. As a…

In-class group work activities are found to promote the interpersonal skills of learners. To support the teachers in facilitating such activities, we designed a learning analytics-enhanced technology framework, Group Learning Orchestration Based on Evidence (GLOBE) using data-driven approaches. In this study, we implemented the algorithmic group…