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…

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…

The Math Kangaroo is one of the biggest international mathematics competitions. In Finland, the number of participants has been around 15,000 in recent years. In this research, we considered Finnish fourth to ninth graders' performance in the Math Kangaroo Finland 2011, 2015 and 2019. We investigated the following problems: What kind of…

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…

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…

Various factors at the individual and school levels contribute to the impairment of academic achievement. We examined whether academic class composition, measured as average class achievement and class heterogeneity (variance in achievement within class), moderates the associations of inattentiveness and hyperactivity/impulsivity with academic…

The question of grouping students into homogeneous and heterogeneous groups is not new, but it does not find an unambiguous answer in the literature, especially in mathematics. In this paper, we address the question of whether grouping students into homogeneous and heterogeneous groups in mathematics improves their knowledge. The quasi-experiment…

This paper proposes a new theory of Conditional Social Equality (CSE) which in some ways challenges the theory of cumulative advantage/disadvantage (CAD), which postulates that inequalities and social divisions necessarily increase over time. Using evidence from informal learning groups in Men's Sheds in three countries, we conclude that some…

This research aims to examine the effect of birth month on student achievement as well as social and spiritual development in the classroom. We designed this research as a mixed embedded experimental design, one of the mixed research designs. For the experimental group, first-grade students in a primary school in Aziziye District of Erzurum…

The incorporation of collaborative work in the educational field grows day after day, as does the research associated with this topic. One of the most recurring problems faced by teachers who want to employ this learning strategy is the good students' group formation since this task can be complex both conceptually and computationally, especially…

Courses: Small Group Communication, Online Groups and Communities. Objectives: The objectives of this activity are to expose students to common-bond and common-identity group dynamics, including the differences between memberships, as well as member motivations, goals, and outcomes.

This research is a large study over an extended period of time involving hundreds of general chemistry students and multiple instructors at the US Naval Academy. The purpose was to investigate whether a combination of clicker content and confidence questions would improve the performance and metacognition of students of different achievement…

Conceptualizations of competence that permeate applied linguistics systematically fail to account for the role of racialization in language learning and assessments thereof. To interrogate the racialization of linguistic competence, we first examine its discursive emergence in conjunction with the ideological construction of linguistic homogeneity…

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…