Deborah Nolan is Professor of Statistics and holds the Zaffaroni Family Chair in Undergraduate Education at the University of California-Berkeley, where she has also served as Associate Dean of Mathematical and Physical Sciences. She is a Fellow of the American Statistical Association and the Institute of Mathematical Statistics. This interview…

Muthen and Asparouhov (2012) have proposed and demonstrated an approach to model specification and estimation in structural equation modeling (SEM) using Bayesian methods. Their contribution builds on previous work in this area by (a) focusing on the translation of conventional SEM models into a Bayesian framework wherein parameters fixed at zero…

In the discussion of mean square difference (MSD) and standard error of measurement (SEM), Barchard (2012) concluded that the MSD between 2 sets of test scores is greater than 2(SEM)[superscript 2] and SEM underestimates the score difference between 2 tests when the 2 tests are not parallel. This conclusion has limitations for 2 reasons. First,…

Just as the tree bridges the worlds of earth and air-light, transforming energies so that there is a flow of nutrients between these two worlds, so too teachers can be seen as bridges or mediators between the world of learners and the world of mathematics. In this speech, the author suggests that one of the principal roles for mathematics…

This author became intrigued by the idea that her generation, who had grown up reaping the benefits of second-wave feminism, might differ from previous generations in their attitudes toward women. What was unclear was how this period of progress might have combined with feminist backlash in affecting subsequent generations' responses to typical…

The aim of this series of four articles is to look critically, and in some detail, at the primary strategy approach to written calculation, as set out on pages 5 to 16 of the "Guidance paper" "Calculation." The underlying principle of that approach is that children should use mental methods whenever they are appropriate, whereas for calculations…

Examines the implications of the following ways of computing forensic contest results: (1) sum-of-the ranks; (2) modified sum-of-the ranks; (3) majority rule; and (4) serial elimination. (PD)

The greatest benefit of including leap year in the calculation is not to increase precision, but to show students that a problem can be solved without such presumption. A birthday problem is analyzed showing that calculating a leap-year birthday probability is not a frivolous computation.

After reviewing several assumptions that support the future ubiquitousness of computers in society and in scholarly research, summarizes three interrelated frameworks for developing instructional computing. (GC)

The ubiquity of calculators led to many "computational abuses", when numbers substitute for substance. On the other hand, it resulted in decrease in number oriented dexterity of students. The latter led to a disdain for even simple calculations to work about unfamiliar mathematical problems. As a reaction to the former, the reputation of…

Discussed are the difficulties that entering college freshmen seem to have with mathematics, particularly with fractional forms. A success-oriented program is suggested in which all students are successful. To obtain this goal, a number of alternative routes are discussed such as presenting decimals before fractional forms and the use of the…

Students should be encouraged to focus on a big mathematical idea and to look for connections between problems and solution strategies. This unified view suggests that the students are developing computational fluency with fractions.

Students in the classroom should be provided with engaging activities for improving their computational fluency, making effective use of time, and as a medium of self-motivation. Games such as Contig, the 24 Game, and Number Jumbler are useful for practicing basic facts and computational fluency of mathematics.

Though cognitive science has given psychology a new, more detailed and specific way of expressing models of cognition, correspondingly detailed and precise arguments analyzing and supporting those models have not been forthcoming. Consequently, the new models often fail to meet the traditional criteria of scientific theories. Tools are available…

The conceptual difference between understanding and algorithmic performance is examined first. Then some dilemmas that flow from these distinctions are discussed. (MNS)