This research explores the use of guided notes in a post-secondary calculus course and the extent to which use enhanced students' success in a first year calculus course. Guided notes have been previously shown to be perceived as helpful to learning by students, and one study showed that the use of guided notes improved pass rates in a first year…

Mathematical giftedness (MG) is an intriguing phenomenon, the nature of which has yet to be sufficiently explored. This study goes a step further in understanding how MG is related to expertise in mathematics (EM) and general giftedness (G). Cognitive testing was conducted among 197 high school students with different levels of G and of EM. Based…

Undergraduates pursue degrees in disciplines in which they hold an affect or possess an interest. Math and science majors possess a positive affect for mathematics; however, to maximize the number of math majors, it is important to boost the motivation of non-math majors to learn mathematics. This study examines the relationships between…

Early math skills are the strongest predictors of later math achievement in school. This two-wave study addressed three research questions about the role of families in fostering these skills in preschool-aged children. First, how do families talk about math at home? Second, how do these conversations vary across families with different…

This study of the relationships between mathematical ability and success and retention in a general chemistry course was conducted at an open-enrollment university whose mission is to provide a quality education to a culturally and economically diverse student body. We studied the correlation between the demonstrated level of mathematical ability…

This study tests the hypothesis that dyslexia and dyscalculia are associated with two largely independent cognitive deficits, namely a phonological deficit in the case of dyslexia and a deficit in the number module in the case of dyscalculia. In four groups of 8- to 10-year-olds (42 control, 21 dyslexic, 20 dyscalculic, and 26…

We examine the correlations between the national IQs of Lynn and Vanhanen (Lynn, R. and Vanhanen, T. (2002). "IQ and the wealth of nations". Westport, CT: Praeger. Westport, CT: Praeger, Lynn, R. and Vanhanen, T. (2006). "IQ and global inequality". Athens, GA: Washington Summit Books.) and educational attainment scores in math and science for 10-…

Background: The internal/external frame of reference (I/E) model by Marsh (1986) assumes intra-individual dimensional comparisons in which students compare their own achievements in one subject with their achievements in other subjects. These comparison processes should lead to negative paths from achievement in one subject (e.g. maths) on…

The internal/external (I/E) frames of reference model proposed by H. Marsh (1986, 1990) points to the relativistic nature of academic self-concept formation. It argues that students compare their own academic ability to that of their peers in an external comparison, and they compare their own verbal skills to their mathematics skills in an…