A hypothetical framework to characterize statistical knowledge for teaching (SKT) is described. Empirical grounding for the framework is provided by artifacts from an undergraduate course for prospective teachers that concentrated on the development of SKT. The theoretical notion of "key developmental understanding" (KDU) is used to identify…

Preservice Secondary Mathematics Teachers (PSMTs) were surveyed to identify if they could connect early-secondary mathematics content (Grades 7-9) in the Common Core State Standards for Mathematics (CCSSM) with mathematics content studied in content courses for certification in secondary teacher preparation programs. Respondents were asked to…

This article describes how a Brier score analysis can be used as an evaluative tool to estimate the predictive accuracy of a course placement policy that was established based on professional or subjective judgment. The policy being evaluated uses the score received on the mathematics portion of the SAT examination as the primary mechanism to…

This article is devoted to practical aspects of teaching and learning of probability at university. It presents the difficulties and attitudes of first-year university science and engineering students towards using paradoxes and counterexamples as a pedagogical strategy in teaching and learning of probability. It also presents a student's point of…

A challenging problem in some developing countries such as Nigeria is inadequate training of students in effective problem solving using the core concepts of their disciplines. Related to this is a disconnection between their learning and socio-economic development agenda of a country. These problems are more vivid in statistical education which…

A procedure modelling ideal classical and quantum gases is discussed. The proposed approach is mainly based on the idea that modelling and algorithm analysis can provide a deeper understanding of particularly complex physical systems. Appropriate representations and physical models able to mimic possible pseudo-mechanisms of functioning and having…

Weber (2009) suggested that counterexamples can be generated by a syntactic proof production, apparently contradicting our earlier assertion (Alcock & Inglis, 2008). Here we point out that this ostensible difference is the result of Weber working with theoretical definitions that differ slightly from ours. We defend our approach by arguing that…

The purpose of this study is to investigate the effect of using web-based curricula on seventh grade students' achievement in mathematics in King Abdullah School in Irbid, Jordan. The researcher followed the equivalent pre/post T-test two group designs. To achieve the aim of the study, a pre/post-test was constructed to measure students'…

College students (N = 151) completed three in-class mathematics assignments that varied with respect to the order of short, medium, and long multiplication problems, including a short-to-long order, a long-to-short order, and a random order. Problem order within assignments did not significantly affect work accuracy, completion time, or assignment…

The purpose of this note is to give a construction method for measures of central tendency and dispersion of a set of data on the basis of some symmetric multivariate functions and distance functions. Several examples regarding the known and new measures are presented. (Author/MM)

Two mathematical brainteasers, with solutions depending on involved trial-and-error processes, are shown to have ingenious solutions. (MP)

Approaches the representation of quantum mechanics through Hilbert space postulates. Demonstrates that if the representation is to be accurate, an evolution operator of the form of a Hamiltonian must be used. (CP)

The author presents three methods for dealing with the problem of the number of tosses of a fair coin needed to obtain two consecutive heads. (MN)

A problem illustrating how physics and mathematics complement one another when analyzing problems of the physical world is described. (JT)

A variation of the classical birthday problem is considered. A BASIC program is included in the article. (DT)