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Atkin and Swinnerton-Dyer conjectured a simple characterization of those Fuchsian groups whose modular forms have integral Fourier coefficient. It has a natural and far-reaching generalization, which we will call the vASD conjecture, to vector-valued modular forms. We confirm vASD conjecture for...
The influence of contextual factors on assistive technology strategies for mathematics learning in students with physical impairmentsDownload
Performance of students with physical impairments in mathematics are often limited because of the use of hands-on strategies using manipulatives (e.g., blocks or Cuisenaire rods) to learn early concepts. Two assistive technology (AT) strategies have been used by students to handle manipulatives,...
East Asian students consistently rank among the best internationally in mathematics. This inquiry examined relationships between East Asian cultural values and mathematics achievement of East Asian students in international assessments. I also examined relationships between Singaporean junior...
Mathematics Intervention for Children with Prenatal Alcohol Exposure and Fetal Alcohol Spectrum DisorderDownload
Individuals with fetal alcohol spectrum disorders (FASD) experience deficits in behavior, cognition, and academic functioning resulting from prenatal alcohol exposure (PAE). Although receiving intervention for developmental disabilities is a strong protective factor against negative outcomes in...
The affine vertex superalgebra A=L^1(D(2,1;-v/w)) plays a key role as the geometric Langlands kernel VOA for SVOAs associated to so(3), osp(1|2) and other rank one Lie superalgbras. Since D(2,1;a) is an extension of the direct sum of 3 copies of sl(2), A can be naturally realized as an...
Mathematics and the English Language Learner
Increased immigration and a move for greater inclusion in Canadian English language mainstream classrooms has led to increased numbers of English-Language Learning (ELL) students in our core subject-area secondary mathematics classrooms. The increasing number of ELL students in these classrooms...
This article presents notes that Russell made while reading the works of Gottlob Frege in 1902. These works include Frege’s books as well as the packet of offprints Frege sent at Russell’s request in June of that year. Russell relied on these notes while composing “Appendix A: The Logical and...
Ferrofluids are liquids with a magnetic colloid suspended by Brownian motion which become magnetized in the presence of an external magnetic field. They have recently garnered a lot of interest due to their wide range of applications in industry and biomedicine. For example, ferrofluids are used...
A great majority of children in Canada and the United States from Grades 2-6 fail to solve equivalence problems (e.g., 2 + 4 + 5 = 3 + __) despite having the requisite addition and subtraction skills. The goal of the present study was to determine the relative influence of two variables,...