The purpose of this mixed methods study was to investigate the implementation of a researcher-created numberless word problem instructional unit designed to introduce second-grade students to word problems in the semantic category of "compare with the word more, smaller unknown." The 10-day instructional unit incorporated three elements:…

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…

Models, created using different modeling techniques, usually serve different purposes and provide unique insights. While each modeling technique might be capable of answering specific questions, complex problems require multiple models interoperating to complement/supplement each other; we call this Multi-Modeling. To address the syntactic and…

Proper Names appear at the heart of several debates in philosophy and the cognitive sciences. These include "reference", "intentionality", and the nature of "belief" as well as "language acquisition", "cognitive development", and "memory". This dissertation follows a cognitive approach to the philosophical problems posed by proper names. It puts…

This study reports how 24 grade 4-6 students in one elementary and middle school interpreted formal and informal representations of variables. While interpretations for variables represented as letters (e.g., x and y) have been well established for students in algebra classes and beyond, little research into elementary school students'…

The purpose of this phenomenological study was to describe how Colombian adult English language learners (ELL) select and use language learning strategies (LLS). This study used Oxford's (1990a) taxonomy for LLS as its theoretical framework. Semi-structured interviews and a focus group interview, were conducted, transcribed, and analyzed for 12…