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Download full textOlson, Jo Clay; Cangelosi, Richard; Madrid, Silvia; Cooper, Sandra; Hartter, Beverly – North American Chapter of the International Group for the Psychology of Mathematics Education, 2011
The goal of this study was to understand errors that student make when simplifying exponential expressions. College students enrolled in four college mathematics courses were asked to simplify and compare such expressions. Quantitative analysis identified three persistent errors: interpreting negative bases, negative exponents, and parentheses.…
Descriptors: College Students, College Mathematics, Mathematics Skills, Error Patterns
McCulloch, Allison W.; Kenney, Rachael H.; Keene, Karen Allen – North American Chapter of the International Group for the Psychology of Mathematics Education, 2011
This paper reports on a mixed methods study of 111 AP calculus students' self-reports of their graphing calculator use, comfort, and rationale when choosing between mathematical solutions produced with and without a graphing calculator. [For the complete proceedings, see ED585874.]
Descriptors: Calculus, Graphing Calculators, Advanced Placement, Problem Solving
Selden, John; Selden, Annie – Online Submission, 2004
In this paper, we will discuss the way various features of consciousness interact with each other and with cognition, specifically, the cognition of mathematical reasoning and problem solving. Thus we are interested in how consciousness and cognition "work," in a somewhat mechanistic way, rather than in larger philosophical questions about…
Descriptors: Problem Solving, Mathematics Skills, Schemata (Cognition), Guidelines
Porter, Mary K.; Masingila, Joanna O. – 1995
This study examined how engaging calculus students in Writing to Learn Mathematics affected the types of conceptual and procedural errors that the students made on their examinations. Students in two sections of an introductory college calculus course in Fall 1994 were the respondents in this study. A classification system was developed that…
Descriptors: Calculus, Cognitive Structures, College Mathematics, College Students
