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Assessing The Impact Of Picture Books In Primary Grades Mathematics Instruction, Jessica Stone
Assessing The Impact Of Picture Books In Primary Grades Mathematics Instruction, Jessica Stone
Doctoral Dissertations
This study documents an educational field experiment evaluating the effects of picture books on primary students’ mathematical achievement and their dispositions towards mathematics. The study involved 136 primary grade students from one elementary school in the southeastern region of the United States. The student population had an overrepresentation of students from minority backgrounds (91%), low socioeconomic status (93%) and English Language Learners (47%). During the 18-week treatment period, teacher participants from the treatment group received bi-weekly collaborative professional development regarding the use of picture books in mathematics instruction. The teachers in the control group followed their district’s mathematics curriculum.
To …
On Tensor Autoequivalences Of Graded Fusion Categories, Ian Swenson Marshall
On Tensor Autoequivalences Of Graded Fusion Categories, Ian Swenson Marshall
Doctoral Dissertations
Fusion categories generalize the representation theory of finite groups. The simplest examples of fusion categories come from finite groups, their representations, and their cohomology. In general, it is useful to examine group theoretical features of fusion categories such as groups of (isomorphism classes of) tensor invertible objects, and gradings by finite groups. Indeed, every fusion category has a maximal pointed subcategory (generated by tensor invertible objects) and a universal grading by a finite group. We use such features to study tensor autoequivalences.
Pointed fusion categories: categories for which all simple objects are tensor invertible, provide our prototype for graded fusion …