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Kayla Lock – ProQuest LLC, 2023
The ideas of measurement and measurement comparisons (e.g., fractions, ratios, quotients) are introduced to students in elementary school. However, studies report that students of all ages have difficulty comparing two quantities in terms of their relative size. Students often understand fractions such as 3/7 as part-whole relationships or…
Descriptors: Abstract Reasoning, Thinking Skills, Calculus, Measurement
Barbara Villatoro – ProQuest LLC, 2023
Authors of calculus texts often include graphs in the text with the intent that the graph depicts relationships described in theorems and formulas. Similarly, graphs are often utilized in classroom lectures and discussions for the same purpose. The author or instructor includes function graphs to represent quantitative relationships and how a pair…
Descriptors: Calculus, Graphs, Concept Formation, Mathematical Concepts
Frank, Kristin Marianna – ProQuest LLC, 2017
Researchers have documented the importance of seeing a graph as an emergent trace of how two quantities' values vary simultaneously in order to reason about the graph in terms of quantitative relationships. If a student does not see a graph as a representation of how quantities change together then the student is limited to reasoning about…
Descriptors: Logical Thinking, Graphs, Calculus, College Students
Nagle, Courtney Rose – ProQuest LLC, 2012
The limit concept plays a foundational role in calculus, appearing in the definitions of the two main ideas of introductory calculus, derivatives and integrals. Previous research has focused on three stages of students' development of limit ideas: the premathematical stage, the introductory calculus stage, and the transition from introductory…
Descriptors: Mathematics Education, Calculus, Mathematical Concepts, High School Students
Stringer, Eddy W., III. – ProQuest LLC, 2011
Data suggests that a significant loss of African American students from STEM majors occur between their freshmen and sophomore year. This attrition corresponds to the time period when students encounter the calculus sequence. For this reason, calculus persists as a serious barrier preventing African American students from entering STEM fields.…
Descriptors: African American Students, Males, Two Year College Students, STEM Education
Ratliff, Bobby Kevin – ProQuest LLC, 2009
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…
Descriptors: Test Items, Visualization, Concept Formation, Calculus
Sturges, Linda W. – ProQuest LLC, 2010
The present study investigated the extent to which providing students with individualized performance feedback informed and directed their learning behavior. Individualized performance feedback was delivered to students using curriculum-based measurement progress indicators, either as a visual representation of ongoing performance in the form of a…
Descriptors: Feedback (Response), Study Habits, Curriculum Based Assessment, Self Efficacy