### Emerging Horizons, Part Four. Derek’s Story: More Than Words

Michael Lang & Catherine Laing
This fourth installment of the Emerging Horizons series explores Derek’s digital storytelling (DST) experience (please see the introductory editorial, Crafting Meaning, Cultivating Understanding, to access the documentary film on which the series is based). In contrast to other workshop participants, Derek’s primary goal for his digital story was to convey a specific, pre-determined meaningful moment from his cancer experience in a more compelling manner. Building from the image system Derek utilized in his digital story,...

### Emerging Horizons, Part Three. Kelsey’s Story: Breaking Cancer’s Grasp

Michael Lang & Catherine Laing
This third installment of the Emerging Horizons series explores Kelsey’s digital storytelling (DST) experience (please see the introductory editorial, Crafting Meaning, Cultivating Understanding, to access the documentary film on which the series is based). In addition to providing a compelling exploration of a relatively common occurrence of Adolescent and Young Adult (AYA) cancer survivors, delayed diagnosis, Kelsey’s involvement in the film illustrated the potential for DST to help participants explore, name, and represent their inner...

### Mobilizing Knowledge

Brenda M Stoesz & Brandy Usick
We present the first issue of the fifth volume of the Canadian Perspectives on Academic Integrity (CPAI). This issue features the second invited historical article about contract cheating and presents the proceedings from the 2022 Academic Integrity Inter-Institutional Meeting (AIIIM).

### Pens for hire: Part 2

Geoffrey E. Buerger
This is part two of a three part invited article series examining the historical evolution of the contract cheating industry. As far back as the aftermath of the First World War there were small commercial operators serving the wants of students who preferred to purchase essays rather than write them. Occasionally, as described in part one of this series, these were exposed by journalists and once even taken to court by local authorities. By the...

### Getting off the beaten path: Authentic assessments that enhance teaching, learning and academic integrity

Lisa Vogt & Brenda Mercer
Getting off the beaten path will introduce participants to a variety of high-impact authentic assessment strategies to open the door for academic integrity to flourish. This session will begin by discussing the importance of aligning learning outcomes with authentic assessments to create space for diverse student experiences and abilities. From there we will explore a variety of hands-on learning approaches such as conferencing, collaboration, and refreshing your assignments to promote student engagement and realistic applications...

### Contributions to Discrete Mathematics, Vol. 17 No. 1 (2022)

Metric properties of incomparability graphs with an emphasis on paths...109-141 Homothetic covering of convex hulls of compact convex sets...31-37 Spirals in Periodic Tilings...142-157 A note on the fully degenerate Bell polynomials of the second kind...13-30 Kn(λ) is fully {P5,C6}-decomposable ...1-12 Some relational structures with polynomial growth and their associated algebras II. Finite generation....70-108 Pushes in words-a primitive sorting algorithm...56-69 The endomorphisms monoids of Helm graph and its generalization...38-55

### High School is Over … Now What? Examining Students Plans for After High School

Lauren Goegan, Devon Chazan & Lia Daniels
A new group of Grade12 students graduates from high school each year. This is an important time for young adults because they must make decisions for what life after high school will look like. The purpose of this study was twofold: (a) to investigate what decisions students in Alberta are making for after high school, and (b) to examine how such decisions are linked to students’ motivation in the form of underlying causality orientations as...

### Affect, Motivation, and Engagement in the Context of Mathematics Education: Testing a Dynamic Model of Their Interactive Relationships

Shanshan Hu & Xin Ma
The present analysis aimed to test the dynamic (interactive) model of affect, motivation, and engagement (Linnenbrink, 2007) in mathematics education with a nationally representative sample. Self-efficacy, self-concept, and mathematics anxiety were indicators of pleasant and unpleasant affect. Intrinsic and extrinsic motivation were indicators of mastery and performance approach. Educational persistence and cognitive activation were indicators of behavioral and cognitive engagement. The 2012 Programme for International Student Assessment (PISA) supplied a sample of 4,978 students from...

### Establishing Rapport in Higher Education Classrooms

Joshua Fitzgerald & John Hooker
Teacher-student rapport has been discussed in previous research, but the communicative behaviors that foster it have yet to be identified. The current study looked at several teacher communicative behaviors to determine which are the best predictors of rapport building. The results suggest that students feel rapport is most influenced by a socially supportive teacher. Using humor and demonstrating homophily aid in building rapport as well. These findings suggest that teachers should strive to be socially...

### A Qualitative Investigation of the Factors that Enhance, Impede, and Require Attention for the School Success and Engagement of At-Risk Newcomer Students

Julien Elia, Julie Cohen, Anusha Kassan, Hieu Ngo, Kelli Stevens & David Marulanda
Little is known about best practices to support newcomer students with a history of emotional, behavioral, or learning challenges in their pursuit of school success and engagement. The Enhanced Critical Incident Technique was employed to explore the helping, hindering, and desired practices among nine teachers who have successfully supported at-risk newcomer youth in their educational pursuits in Canada. Results revealed 64 helping and 43 hindering factors as well as 27 wish list items related to...

### Teachers as Reflective Practitioners: From Individualism to Vygotskian Social Constructivism

The paper presents a critical review of major works on reflective practice in teaching that mainly define reflection as a technical and isolated process, taking place in an individual’s mind. Critiquing the cognitive nature of reflective practice promoted in mainstream research, the paper directs attention to the increasing recognition of sociocultural factors in teacher professional learning, and highlights the significance of reflection as a social practice. Starting with the ideas of John Dewey on reflective...

### A new mathematical model for tiling finite regions of the plane with polyominoes

Marcus Garvie & John Burkardt
Contributions to Discrete Mathematics, Vol. 15 No. 2 (2020)

### Emerging Horizons, Part Seven. Mike's Story: Lessons Learned

Michael James Lang & Catherine M Laing
This seventh and final instalment of the Emerging Horizons series brings all the experiences of the participants in the film together with my own (ML) as the digital storytelling (DST) facilitator to discuss three of the many lessons learned from this research project (please see the introductory editorial to the series, Crafting Meaning, Cultivating Understanding, to access the film). The article summarizes the interpretations of the film in both written and digital story form, explores...

### Flag vector pairs, fatness, and their bounds for 4-polytopes

Jin Hong Kim & Park Nari
Contributions to Discrete Mathematics, Vol. 16 No. 3 (2021)

### Degree conditions of nearly induced matching extendable graphs

Longshu Wu & Qin Wang
Contributions to Discrete Mathematics, Vol. 16 No. 3 (2021)

### Direct and inverse problems for restricted signed sumsets in integers

Jagannath Bhanja, Takao Komatsu & Ram Krishna Pandey
Contributions to Discrete Mathematics, Vol. 16 No. 1 (2021)

### Binomial transforms of the balancing and Lucas-balancing polynomials

Nazmiye Yilmaz
Contributions to Discrete Mathematics, Vol. 15 No. 3 (2020)

### Two properties of maximal antichains in strict chain product posets

Shen-Fu Tsai
Contributions to Discrete Mathematics, Vol. 15 No. 3 (2020)

### Spoilers, Triggers, and the Hermeneutics of Ignorance

A hermeneutics of ignorance may, at first, appear to be a contradiction in terms. Yet, ignorance and stupidity remain a pressing issue in the realm of today’s public discourse. The form this takes concerns, not the actual intelligence of people per se, but rather the use of the denomination of ‘stupidity’ as an active framing of debate, or the use of perceived ignorance to strategically organise individuals, publics and audiences. This offers a challenge to...

### Death, Dying, and Credibility in Long-Term Care: How Healthcare Aides Were the Voiceless Other During the COVID-19 Pandemic

Katherine Stelfox
Abstract Confronted by an unprecedented number of deaths in Long-Term Care (LTC) during the COVID-19 pandemic, society had no choice but to engage in a public discourse about the state of death and dying in LTC, and the staff who were caring for residents: healthcare aides. Despite being places where older adults die, death and dying has largely been hidden within LTC homes, serving to complicate and conceal healthcare aides’ experiences at a time when...

### Diameter 3

Miodrag Sokic
Contributions to Discrete Mathematics, Vol. 15 No. 2 (2020)

### $Q_4$-Factorization of $\lambda K_n$ and $\lambda K_x(m)$

Oğuz Doğan
Contributions to Discrete Mathematics, Vol. 15 No. 2 (2020)

### Partitioning the $5\times 5$ array into restrictions of circles

Robert Dawson
Contributions to Discrete Mathematics, Vol. 15 No. 1 (2020)

### Sun toughness and $P_{\geq3}$-factors in graphs

Sizhong Zhou
Contributions to Discrete Mathematics, Vol. 14 No. 1 (2019)

### On the classification of automorphisms of trees

Samuel Coskey & Kyle Beserra
Contributions to Discrete Mathematics, Vol. 14 No. 1 (2019)

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