This study explores learning vector addition and demonstrating the understanding of vector addition. Vector addition is a key skill in mathematics and science education, but there is a limited amount of research that focuses on this topic. My study investigates how an instructional design framework "concreteness fading" can be used for…

Adaptive reasoning is one of five components students use to develop mathematical expertise and become mathematically proficient. When students adapt their reasoning they are logically thinking about the mathematical relationships between concepts and adapting their thinking to solve problems. Three Act Math Tasks are popular math problems used in…

Teachers' beliefs are importantly linked to teachers' classroom actions and, ultimately, to student achievement. Although much is known about general education teachers' beliefs about how children learn mathematics and mathematics instruction, there is little known about special education teachers' beliefs. This study then examined special…

Most students begin their university studies with adequate mathematical skills to succeed in general chemistry. However, students have a demonstrated difficulty with the application of math in a chemistry context. The ability to apply skills to new contexts is known as transfer, and understanding and enhancing transfer of graphing skills into the…

Drill and practice is a well-received approach to repeatedly train learners' skills through a series of exercises and to reward them with corrective feedback. However, drill-based training may not improve learners' performance if its exercises are badly designed (e.g., not fun, not relevant to the learning goal, and becoming too difficult or too…

This study examines the use of Spanish as the language of instruction with Spanish dominant EL students in a 9th grade Algebra 1 classroom. The study documents conceptions of mathematical symbols at the start and at the end of the academic year of two groups of students; one receiving primary language instruction and another receiving sheltered…

Elaborative interrogation, which prompts students to answer why-questions placed strategically within informational text, has been shown to increase learning comprehension through reading. In this study, elaborative interrogation why-questions requested readers to explain why paraphrased statements taken from a reading were "true."…

The purpose of this study was to discover what teaching strategies were utilized by Special Day Class (SDC) teachers to prepare their 9-12 grade students to pass a course in Algebra 1 and the mathematics section of the California High School Exit Exam (CAHSEE). This study used a mixed methodology involving a quantitative survey and qualitative…

The purpose of this action research case study was to explore attitudes and beliefs regarding strategies to improve math placement scores for low-socioeconomic community college students at an urban campus. Using a pragmatic worldview, qualitative techniques were used to gather data to explore this problem at a single community college located in…

This study evaluated the influence of general and mathematics-specific classroom instructional quality on the mathematical development of a sample of Head Start preschool children. It also examined whether children's age, pre-test mathematical knowledge, and English language learner status influenced the quality of their curricular…

The American Association of Colleges and Universities reports that over 50% of the students entering colleges and universities are academically under prepared; that is, according to Miller and Murray (2005), students "lack basic skills in at least one of the three fundamental areas of reading, writing, and mathematics" (paragraph 4). Furthermore,…