Analogy is a powerful learning mechanism for children to learn novel, abstract concepts from only limited input, yet also requires cognitive supports. My dissertation sought to propose and examine number lines as a mathematical schema of the number system to facilitate both the development of rational number understanding and analogical reasoning.…

Motivation and engagement are often barriers to literacy for adolescent readers. Traditionally, the graphic novel has been seen as easy to read and a resource that only has value for students with language difficulties or learning challenges. This qualitative case study investigated how middle school readers' ability to make meaning contributed to…

This work is an exploration of upper elementary students' sense making around four conventional representations of function: equations with algebraic notation, Cartesian graphs, function tables, and natural language. The cornerstone to the empirical work is a task called the Function Puzzle, where students are given 16 cards representing four…

The purpose of this qualitative study was to explore the experiences of undergraduate college students attending a public and a private university in the State of Kuwait to understand how they develop their understanding and valuing of information literacy and information literacy standards. Data from student and faculty interviews and student…

The purpose of this qualitative study was to explore the experiences of undergraduate college students attending a public and a private university in the State of Kuwait to understand how they develop their understanding and valuing of information literacy and information literacy standards. Data from student and faculty interviews and student…

Design research methodology is used in this study to develop an empirically-substantiated instruction theory about students' development of functional thinking in the context of geometric growing patterns. The two research questions are: (1) How does students' functional thinking develop in the context of geometric growing patterns? (2) What are…