Undergraduate students' understanding of function continuity has not been explored broadly in previous research. The relevant findings in the literature are predominantly concerned with calculus students' understanding and misconceptions of continuity. Many of these misunderstandings are tied to the relationships which continuity has with limits…

This action research study examined the effects of professional development on teaching for conceptual understanding in Algebra I. "Conceptual knowledge refers to knowledge of the underlying structure of mathematics-the relationships and interconnections of ideas that explain and give meaning to mathematical procedures" (Eisenhart et…

Recent studies show that English learning students are a growing population within the United States school system. Language barriers have been shown to negatively influence reading scores as well as math scores, and math scores are a predictor of future academic success in many subject areas. This qualitative action research study demonstrates…

Teachers' daily instructional practices are a critical component in creating a rich and meaningful educational experience for students. Thus, factors that inform instructional practices are of particular importance and interest to education researchers and other stakeholders. Beliefs about teaching and learning are a known factor influencing…

U.S. society perceived some Asian immigrants as a model minority, even assuming that Asian students would be good at mathematics. However, the narratives and experiences of Korean immigrant parents and their children were not discussed in these perspectives. The purpose of this study is to understand the interactions and reasoning of Korean…

The Common Core State Standards for Mathematics (CCSSM) highlight the importance of students' conceptual understanding, mathematical reasoning, and problem solving in order to prepare students for college and careers. However, the success of this reform effort largely depends on how teachers actually design and implement instruction based on the…

Many students enter high school with persistent algebraic misconceptions that limit their success in mathematics and, by extension, limit potential educational attainment and future earnings. The purpose of this study was to assess the effectiveness of a warm conceptual change based intervention on remediating algebraic misconceptions held by…

Adults are prone to treating percents, one representational format of rational numbers, as novel cases of natural number. This suggests that percent values are not differentiated from natural numbers; a conceptual shift from the natural numbers to the rational numbers has not yet occurred. This is most surprising, considering people are inundated…

With the national trend to link student achievement results with teacher evaluation ratings, it is critical for teachers to examine and interpret children's assessment results collaboratively. This study explored how the clinical interview process can be integrated into a professional learning experience to support teachers in identifying…

This study was designed to determine whether or not the use of focused professional development using a checklist based on the Common Core State Standards Mathematical Practices impacted students' math scores as measured by an assessment that requires the use of the practices. Additionally, the researcher sought to determine whether or not the use…

The purpose of this study was to examine elementary teachers perspectives on the impact that Lesson study participation had on their knowledge and teaching of mathematics. The study explored teachers perspectives of how Lesson study participation affected their mathematical content knowledge and pedagogical-content knowledge. Lesson study is a…

Number Concepts; Measurement; Geometry; Probability; Statistics; and Patterns, Functions and Algebra. Procedural Errors were further categorized into the following content categories: Computation; Measurement; Statistics; and Patterns, Functions, and Algebra. The results of the analysis showed the main sources of error for 6th, 7th, and 8th…

The purpose of this study was to determine (1) strategies students use when solving composition problems and the difficulties they encounter; (2) conceptions and/or misconceptions students have with respect to composition of functions; and (3) the effect of using dynamic visualization during instruction on students' understanding of composition of…

This study examined the improvement of students' comprehension of geometric concepts through analytical writing about their own misconceptions using a reflective tool called an ERNIe (acronym for ERror aNalyIsis). The purpose of this study was to determine whether the ERNIe process could be used to correct geometric misconceptions, as well as how…