Department of Mathematics and Statistics
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Strøby Egede, Vedbæk-Bøgebakken and Relationships among Scandinavian Mesolithic Skeletal Material
(Cambridge University Press, 2024-12-06)This paper derives from new work onMesolithic human skeletal material from Strøby Egede, a near coastal site in eastern Sjælland, with two foci. The first confirms sex identifications from original work carried out in 1986. ... -
This is Us: Latent Profile Analysis of Canadian Teachers’ Burnout during the COVID-19 Pandemic
(Canadian Society for the Study of Education, 2022)During the initial wave of the COVID-19 pandemic, 1,930 Canadian teachers were surveyed about their burnout and resilience levels, as well as their job demands and resources. Latent profile analysis revealed that teachers ... -
Transformational Leadership Approaches and Their Influence on Teacher Resilience During the COVID-19 Pandemic
(North American Business Press, 2022)With stress documented beyond inherent levels in our initial research with Canadian teachers during the COVID-19 pandemic, this case study moves beyond the consideration of individual strategies to reduce burnout, toward ... -
Planning for Teacher Recovery from the COVID-19 Pandemic: Adaptive Regulation to Promote Resilience
(Rivera Open, 2021-06-25)Increased job demands coupled with insufficient resources, typically result in job strain which can lead to burnout. However, in a series of studies conducted with Canadian teachers during the COVID-19 pandemic, the findings ... -
Teachers' Voices: Pandemic Lessons for the Future of Education
(University of Windsor, 2021-05-26)In late 2019 and early 2020, governments around the world closed educational institutions due to the COVID-19 pandemic. A similar response occurred in Canada and resulted in a sudden pivot by teachers from classroom-based ... -
Latent Profile Analysis of Manitoban Teachers' Burnout during the COVID-19 Pandemic
(University of Winnipeg, 2021-03) -
COVID-19’s Second Wave: How are teachers faring with the return to physical schools?
(Canadian Education Network, 2020-11-20) -
Opportunity solving: Ordinary people doing extraordinary things, every day
(Canadian Education Network, 2020-10-16) -
It’s okay to be okay too. Why calling out teachers’ “toxic positivity” may backfire
(Canadian Education Network, 2020) -
Canadian teachers' attitudes toward change, efficacy, and burnout during the COVID-19 pandemic
(Elsevier, 2020-11-19)Canadian teachers (N = 1626) took part in a longitudinal, national survey conducted at two points early in the COVID-19 pandemic. Results indicated that teacher efficacy, attitudes toward change, and perceptions of ... -
Characterization of the lengths of binary circular words containing no squares other than 00, 11, and 0101
(2020-05-19)We characterize exactly the lengths of binary circular words containing no squares other than 00, 11, and 0101. -
On avoidability of formulas with reversal
(EDP Sciences, 2018-02-13)While a characterization of unavoidable formulas (without reversal) is well-known, little is known about the avoidability of formulas with reversal in general. In this article, we characterize the unavoidable formulas ... -
Squares and overlaps in the Thue-Morse sequence and some variants
(EDP Sciences, 2006)We consider the position and number of occurrences of squares in the Thue-Morse sequence, and show that the corresponding sequences are 2-regular. We also prove that changing any finite but nonzero number of bits in the ... -
Avelines's Hole: An Unexpected Twist in the Tale
(University of Bristol Spelaeological Society, 2019)Aveline’s Hole is the largest known Early Mesolithic cemetery in Britain, previously thought to have no evidence for subsequent burial activity. Thus, it came as some surprise when the results of a recent ancient human DNA ... -
Supporting Teachers in Times of Change: The Job Demands- Resources Model and Teacher Burnout During the COVID-19 Pandemic
(RedFame, 2020-10)Burnout in teachers has been broadly investigated, but no studies have investigated burnout in teachers during a pandemic. The current study is based on a survey of 1278 Canadian teachers and examined whether the Job ... -
Extremal words in morphic subshifts
(Elsevier, 2014-01-22)Given an infinite word x over an alphabet A, a letter b occurring in x, and a total order \sigma on A, we call the smallest word with respect to \sigma starting with b in the shift orbit closure of x an extremal word of ... -
Growth rate of binary words avoiding xxxR
(Elsevier, 2016-01)Abstract Consider the set of those binary words with no non-empty factors of the form xxx^R. Du, Mousavi, Schaeffer, and Shallit asked whether this set of words grows polynomially or exponentially with length. In this ... -
Unary patterns under permutations
(Elsevier, 2018-06-04)Thue characterized completely the avoidability of unary patterns. Adding function variables gives a general setting capturing avoidance of powers, avoidance of patterns with palindromes, avoidance of powers under coding, ... -
Avoiding three consecutive blocks of the same size and same sum
(Association of Computing Machinery, 2014-04)We show that there exists an infinite word over the alphabet {0,1,3,4} containing no three consecutive blocks of the same size and the same sum. This answers an open problem of Pirillo and Varricchio from1994. -
Binary Words Avoiding xxRx and Strongly Unimodal Sequences
(2015-09-14)In previous work, Currie and Rampersad showed that the growth of the number of binary words avoiding the pattern xxxR was intermediate between polynomial and exponential. We now show that the same result holds for the ...
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