This empirical study aims to demonstrate how Dispositional Learning Analytics can contribute in the investigation of the effectiveness of didactical scenarios in authentic settings, where previous research has mostly been laboratory based. Using a showcase based on learning processes of 1080 students in a blended introductory quantitative course,…

The ability of 616 students (grades 4-9) to apply the ratio concept in a simple measurement and prediction task was investigated. Responses were classified into 11 categories. Results showed those not using proportional reasoning had access to alternate procedures that reflected individual cognitive style rather than Piagetian developmental level.…

This study investigated the relationship between Kagan's reflective-impulsive dimensions and three levels of mathematical achievement test performance: computation, concepts, and problem solving. Two hypotheses were formulated: (1) there should be a positive correlation between the index of reflectivity and each of the Metropolitan mathematics…

This study focuses on the mental processes used during estimation. This research: (1) developed an operational definition of estimation; (2) created an instrument to identify exceptionally good estimators; (3) collected performance level data on 1187 subjects; (4) constructed interview problems and developed protocols to identify the thinking…

Mathematics success or failure is noted as possibly related to the way in which material is presented rather than to the subject itself. Teachers are encouraged to have pupils complete a questionnaire that is designed to measure their mathematical "state of health." Instructors are told to identify learning styles. (Author/MP)

A description is given of several theories of learning styles. The implications for mathematics education are discussed; special attention is given to corrective teaching. (MK)

Explores how to use Gardner's Multiple Intelligence theory to help students' master multiplication. Focuses on helping children use their different intelligence strength to attain conceptual understanding of multiplication, develop their own thinking strategies for harder facts, and build mastery through practice and problem solving. (KHR)

A semiotic perspective on mathematical activity provides a way of conceptualizing the teaching and learning of mathematics that transcends and encompasses both psychological perspectives focussing exclusively on mental structures and functions, and performance-focussed perspectives concerned only with student's behaviours. Instead it considers the…

An investigation of the relationship of the analytic/non-analytic and the reflective/impulsive cognitive styles of sixth grade students and their use of focusing strategies on a concept attainment task in mathematics was conducted. Fifty-one sixth grade students were identified as reflective or impulsive according to their performance on the…

This report summarizes a number of exploratory and pilot studies undertaken to investigate the relationship of individual differences among college mathematics students to discovery and expository instruction, and to Personalized Systems of Instruction (PSI). Research in education has often attempted to demonstrate the superiority of one type of…

The model described is designed to provide the educational diagnostician with data relative to an individual's content deficiencies in mathematics, mathematics cognitive style, and educational cognitive style. A diagnosis of these three factors requires consideration of cognitive, affective, and psychomotor concerns. The diagnostic mapping of an…

Presented is a discussion of the nature of individual differences in the learning of mathematics, which leads to a review of field-dependent and field-independent cognitive styles. Field-dependence-independence is noted as an important variable in school learning and a study is cited that investigated the relationship between pupil success at…

Presented are 13 articles which contain abstracts and analyses of research reports related to mathematics education. The first article considers six working papers, on a variety of topics, from E. G. Begle and the Stanford Mathematics Education Study Group. Of the remaining reports, two deal with problem solving, five with some aspect of learning…

Responds individually to Shoenfeld's objections that Ohlsson, Ernst, and Rees' model is unclear; that the hypotheses about learning are unjustified; that the models have not been tested against extant data; and that it is unclear whom the model models. (MDH)

Develops and validates an instrument for determining student preferences for multiple representations of functions and establishes baseline data for future research. Students showed preferences for representations of functions which varied between contextualized and noncontextualized settings. Students' preferences for the two settings were more…