In this dissertation I explore instructors' work with instructional tasks as they plan to introduce various representations of derivatives. Drawing on the notion of "framing" from sociology, I adopt a situative lens to study calculus instructors' planning of instructional tasks. I rely on Herbst and Chazan's (2012) notion of…

The purpose of this meta-analysis was to investigate the effectiveness of the use of games as part of mathematics instruction on academic achievement in grades Kindergarten to 12 in the United States. There were 17 studies selected for investigation published from 2010 to 2023 that focused on game-based learning and mathematics. This meta-analysis…

The increasing amount of available subjective text data in internet such as product reviews, movie critiques and social media comments provides golden opportunities for information retrieval researchers to extract useful information out of such datasets. Topic modeling and sentiment analysis are two widely researched fields that separately try to…

English Learners (ELs) enrollment in the U.S. public schools continues to increase. ELs have various linguistic needs including listening, reading, speaking, and writing English. Often this group of students does not perform well academically on state assessments since these assessments are normally written in English and require substantial…

This research study examined the process by which non-English speaking students, whose first language is Arabic, learn mathematics in English. Teachers' adaptation was investigated to reflect the effect of change in instructional methods. The effect of communication between teachers, and exchanging ideas about the efficient practice procedure to…

The purpose of this study was to develop and validate an assessment tool entitled the Algebra Curriculum Based Measure (ACBM) with the intent of measuring preschool children's sorting and classifying skills based on one attribute (color, shape, and size) and two attributes (color and shape) simultaneously; and their ability to explain their…

Continuity is a central concept in calculus. Yet very few students seem to understand the nature of continuity. The research described was conducted in two stages. Students were asked questions in multiple choice and true/false format regarding function, limit and continuity. These results were used to identify participants as strong, weak or…

The goal of this work is to provide instructors with detailed information about their classes at each assignment during the term. The information is both on an individual level and at the aggregate level. We used the large number of grades, which are available online these days, along with data-mining techniques to build our models. This enabled…

A learning center in the southeastern part of the United States used the Singapore mathematics curriculum (SMC) to support student learning of a wide range of mathematics skills. However, a study had yet to be conducted to gain an understanding about the administration and implementation of the program. This case study was conceptually based on…

Teachers face new challenges when they teach a more rigorous mathematics curriculum than one to which they are accustomed. The rationale for this particular study originated from watching teachers struggle with understanding mathematical content and pedagogical practices. Mathematics coaches can address teachers' concerns through sustained,…

With the pressure in education to develop a 21st century learner with higher-level thinking skills, many educators connected previous state curriculum to the Common Core State Standards (CCSS). Missouri's Department of Education experts paired the previous state's curriculum known as the Missouri Grade Level Expectations (MO GLEs) with a…

Al-Kashi's 1427 "Key to Arithmetic" had important use over several hundred years in mathematics teaching in Medieval Islam throughout the time of the Ottoman Empire. Its pedagogical features have never been studied before. In this dissertation I have made a close pedagogical analysis of these features and discovered several teaching…

This study characterizes how a cohort of 33 middle and secondary mathematics preservice teachers' inferential reasoning changed while enrolled in a statistics course designed for future teachers. Changes in inferential reasoning from pre- to post-assessments are analyzed and further elucidated by midcourse clinical interviews conducted with a…

Prior research on students' uses of technology has suggested it can be used to support students' development of formal justifications and proofs. The ways in which these technologies influence the construction of arguments and proofs remain uncertain. Furthermore, research has not been conducted that compares the arguments students develop while…

Representational fluency (RF) includes an ability to interpret, create, move within and among, and connect tool-based representations of mathematical objects. Taken as an indicator of conceptual understanding, there is a need to better support school algebra students' RF in learning environments that utilize both computer algebra systems…