The Impact of a Professional Development Program on Teachers' Mathematical Knowledge for Teaching,Instruction, and Student Achievement

In this paper, we describe findings from a three-year evaluation of a well-developed mathematics professional development program that is commercially available on a wide scale. The professional development is designed to improve teachers' mathematical knowledge for teaching and to enable them to elicit more student thinking and reasoning during mathematics lessons. Specifically, it focused on helping teachers (a) learn more mathematics, (b) understand how children learn math, (c) use formative assessment to develop insight into what specific students know and do not know, and (d) develop effective classroom instructional strategies that enable student problem solving. Participants included 105 fourth- and fifth-grade teachers teaching in 19 low-income schools within a single district. Teachers were randomly assigned within schools either to a “business as usual” control group or to receive the professional development. The training consisted of a week-long summer institute and four to six in-service days during the school year. The training was run by full-time trained associates. We find some limited evidence of positive impacts on teachers' mathematical knowledge for teaching, but no effects on instructional practice or student outcomes.     

Students’ fraction comparison strategies as a window into robust understanding and possible pointers for instruction

As part of individual interviews incorporating whole number and rational number tasks, 323 grade 6 children in Victoria, Australia were asked to nominate the larger of two fractions for eight pairs, giving reasons for their choice. All tasks were expected to be undertaken mentally. The relative difficulty of the pairs was found to be close to that predicted, with the exception of fractions with the same numerators and different denominators, which proved surprisingly difficult. Students who demonstrated the greatest success were likely to use benchmark (transitive) and residual thinking. It is hypothesised that the methods of these successful students could form the basis of instructional approaches which may yield the kind of connected understanding promoted in various curriculum documents and required for the development of proportional reasoning in later years.     

The Psychological Contracts of Undergraduate University Students: Who Do They See as Exchange Partners,and What Do They Think the Deals Are?

The relationship between students and their academic institution is based on exchange. However, we have limited knowledge regarding how many exchanges students perceive, who (or what) the perceived exchange partners are, and what the perceived terms of those exchanges contain. To address this gap, we utilized a mixed-method approach to explore and describe the psychological contracts of two sets of undergraduate university students: newly entering freshman, and experienced university students. Results clearly demonstrated that students perceive numerous psychological contracts relevant to their education with a variety of partners both inside and at the boundaries of the institution. Results also demonstrated that these contracts are qualitatively and quantitatively distinct. The overarching implication of these findings is that students navigate a web of diverse exchange partners, and it would be a mistake for educators and researchers to focus exclusively on one or few relationships presupposed to be most important.     

Dietary supplements

For the athlete training hard, nutritional supplements are often seen as promoting adaptations to training, allowing more consistent and intensive training by promoting recovery between training sessions, reducing interruptions to training because of illness or injury, and enhancing competitive performance. Surveys show that the prevalence of supplement use is widespread among sportsmen and women, but the use of few of these products is supported by a sound research base and some may even be harmful to the athlete. Special sports foods, including energy bars and sports drinks, have a real role to play, and some protein supplements and meal replacements may also be useful in some circumstances. Where there is a demonstrated deficiency of an essential nutrient, an increased intake from food or from supplementation may help, but many athletes ignore the need for caution in supplement use and take supplements in doses that are not necessary or may even be harmful. Some supplements do offer the prospect of improved performance; these include creatine, caffeine, bicarbonate and, perhaps, a very few others. There is no evidence that prohormones such as androstenedione are effective in enhancing muscle mass or strength, and these prohormones may result in negative health consequences, as well as positive drug tests. Contamination of supplements that may cause an athlete to fail a doping test is widespread.     

Characteristics of the start in women's World Cup skeleton

This study characterizes key elements of the start in elite female World Cup skeleton athletes. The top 20 female competitors in three World Cup races were videotaped within a calibrated space to allow the following components of the start to be quantified: (1) acceleration (velocity at 15-m mark, time to 15-m mark), (2) capacity (time to load, total number of steps to load), and (3) load (velocity at 45-m mark). A correlation analysis was used to establish the relationship between the variables of interest and overall start time (15- to 65-m mark). Velocity at the 15-m mark accounted for 86% of the variance in overall start time at St. Moritz and 85% at Sigulda. A stepwise regression analysis revealed that approximately 89% of the variation in start time could be explained by velocity at the 15-m mark, time to load, and velocity at the 45-m mark. Of the variables analysed in this study, rapid acceleration to attain a high velocity at the 15-m mark was the most important component of a fast overall start time. The importance of the time to load and velocity at the 45-m mark vary according to the different track characteristics.     

Television History

SATURDAY MIGHT: A BACKSTAGE HISTORY OF SATURDAY MIGHT LIVE by Doug Hill and Jeff Weingrad (New York: Beech Tree Books/Morrow, 1986—$17.95)

THE SOAP OPERA ENCYCLOPEDIA by Christopher Schemering (New York: Ballantine Books, 1985—$8.95, paper)

WARNER BROS. TELEVISION: EVERY SHOW OF THE FIFTIES AND SIXTIES EPISODE-BYEPISODE by Lynn Woolley, et al. (Jefferson, NC: McFarland & Co., 1985—$25.95)

THE HISTORY OF AMERICAN BANDSTAND by Michael Shore with Dick Clark (New York: Ballantine Books, 1985—$12.95, paper)

A COLLECTOR'S GUIDE TO TV MEMORABILIA by Anthony Slide (Wallace-Homestead Book Co., 580 Waters Edge, Lombard, IL 60148—$13.95, paper)     

A Review of “Fields of Green: Restorying Culture,Environment, and Education”

This essay describes an educational initiative that used environmentally themed (green) hip-hop to stimulate learning in an environmental science classroom. Students were then challenged to compose their own green hip-hop and their lyrics demonstrated skills that have thematic consistency around what is called a Critical Ecological Literacy (CEL). An analysis of more than 200 creative pieces collected from eight runs of this curriculum over four years shows that CEL can be used as a guiding concept for the creation of curriculum targeting urban areas and racially diverse learners. Several examples of this student-produced green hip-hop are shared to delineate elements of CEL that can help educators evaluate student learning as well as their own teaching materials.