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Exploring Copyright while Making Memes
No full textCopyright, fair use, and open licensing are essential terms for preservice teachers in what is often referred to as the information age. Digital resources abound, and it seems so easy to copy, paste, screenshot, download, or stream. This lesson invites preservice teachers to consider whether they are permitted to use everything found online, even if resources are used only in their classrooms
Issue Introduction
No full textWelcome to the second issue of the Journal of Technology-Integrated Lessons and Teaching (JTILT). This journal publishes international, peer-reviewed, technology-rich lessons, activities, and materials for teachers! These resources are freely available for adaptation, use, and dissemination through a Creative Commons, Attribution-NonCommercial-ShareAlike 4.0 International license (CC-BY-NC-SA 4.0)
On positive and positive partial transpose matrices
No full textA block matrix is positive partial transpose (PPT) if both and are positive semi-definite. This class is significant in studying the separability criterion for density matrices. The current paper presents new relations for such matrices. This includes some equivalent forms and new related inequalities that extend some results from the literature. In the end of the paper, we present some related results for positive semi-definite block matrices, which have similar forms as those presented for PPT matrices, with applications that include significant improvement of numerical radius inequalities
‘Mamas If Your Daughters Grow Up to Be Cowboys, So What?’: Women Refiguring Rurality and Class in Country Music
No full textDrawing on the burgeoning fields of rural studies and working-class studies, this essay examines contemporary country music by female artists. Namely, it considers rurality and class in the music of artists Miranda Lambert, Kacey Musgraves, and Mickey Guyton. While country music scholars have long attended to how rurality and class function in country music by men, country music scholarship has largely disregarded these concepts in the music of female country artists. Whereas male country artists typically reference rurality and the working-class as a means of identification, Lambert, Musgraves, and Guyton reference these social constructs to interrogate, destabilize, and refigure. In crafting multilayered responses to contemporary dialogues on rurality and the working-class, these women not only call attention to country music’s premises, but they also produce variations of rurality and class
Taking the Great Leap Forwards: Teaching Woody Guthrie in the College Classroom
No full textThis essay explores the work of Woody Guthrie and other folk artists who have followed in his tradition of documenting working-class people’s experiences in song. In addition to outlining the creation of the Teaching Woody Guthrie Faculty Learning Collective–a group of teacher-scholars, activists, and musicians who are dedicated to collaborating across disciplines to illustrate Woody Guthrie’s relevance in today’s precarious world–the essay includes suggested curriculum to teach folk music and political activism in the college classroom.
 
Chibber, V. (2022). Class Matrix: Social Theory after the Cultural Turn. Harvard University Press.
No full textSchor, J. (2020). After the Gig: How the Sharing Economy Got Hijacked and How to Win It Back. University of California Press.
No full textLinear systems of Diophantine equations
No full textGiven free modules of finite rank over a principal ideal domain , we give a procedure to construct a basis of from a basis of assuming the invariant factors or elementary divisors of are known. Given a matrix of rank , its nullspace in is a free -module of rank . We construct a free submodule of of rank naturally associated with and whose basis is easily computable, we determine the invariant factors of the quotient module and then indicate how to apply the previous procedure to build a basis of from one of
Constructions of cospectral graphs with different zero forcing numbers
No full textSeveral researchers have recently explored various graph parameters that can or cannot be characterized by the spectrum of a matrix associated with a graph. In this paper, we show that several NP-hard zero forcing numbers are not characterized by the spectra of several types of associated matrices with a graph. In particular, we consider standard zero forcing, positive semidefinite zero forcing, and skew zero forcing and provide constructions of infinite families of pairs of cospectral graphs, which have different values for these numbers. We explore several methods for obtaining these cospectral graphs including using graph products, graph joins, and graph switching. Among these, we provide a construction involving regular adjacency cospectral graphs; the regularity of this construction also implies cospectrality with respect to several other matrices including the Laplacian, signless Laplacian, and normalized Laplacian. We also provide a construction where pairs of cospectral graphs can have an arbitrarily large difference between their zero forcing numbers
Sign patterns of rational matrices with large rank II
No full textIt is known that, for any real m-by-n matrix A of rank n-2, there is a rational m-by-n matrix which has rank n-2 and sign pattern equal to that of A. We prove a more general result conjectured in the recent literature.