Teaching the partial products algorithm with the concrete representational abstract sequence and the strategic instruction model

Elementary standards include multiplication of single-digit numbers and students advance to solve complex problems and demonstrate procedural fluency in algorithms. The ability to illustrate procedural fluency in algorithms is dependent on the development of understanding and reasoning in multiplication. Development of multiplicative reasoning provides the foundation for advanced mathematics and algebraic reasoning. For students who struggle in mathematics, instruction in multiplication algorithms should ensure conceptual understanding so that students have a foundation for success in advanced mathematics. The concrete representational abstract (CRA) sequence addresses conceptual understanding and the strategic instruction model (SIM) supports procedural knowledge. The current pilot study combined these methods to teach elementary students the partial products algorithm. Twelve students in grades four and five participated in the study, receiving instruction from teachers in their school during an intervention period. Within a pre-experimental design, using pre- and postintervention data, students showed a significant change in performance. The article will describe and show how teachers implemented the CRA-SIM interventions and discuss implications for practice.     

Unemployment and social class stigmas

Western economies have seen a shift away from a model of job security to a model of work precarity. Cycles of unemployment are a defining feature of the new precarious economy. Given these cycles of unemployment, it becomes imperative to explore the barriers to reemployment. The present study uses stigma communication to explore the intersection of two barriers to reemployment: the stigmatization of unemployment and social class position. Analysis of 40 interviews revealed that the meaning of unemployment changed depending on the perceived social class of an unemployed person. Participants described typical unemployed people as pathologically lazy and unmotivated. Upper class unemployed people were stigmatized as a product of privilege. Middle class unemployed people were relatively unstigmatized. The typical unemployed person merged with the typical unemployed lower class person, suggesting that the dominant meaning of unemployment assumes that unemployment is a lower class phenomenon that is preventable if the lower class person would work harder.     

Complementary and alternative therapies

Complementary and alternative therapies are increasingly used by many pregnant women in the United States; however, limited research is available on many therapies. The number of studies should increase with the establishment of the National Center for Complementary and Alternative Medicine by the National Institutes of Health. This column reviews recent studies of both herbal medicines and alternative therapies used in pregnancy.     

The professionalisation of teaching: teacher training and education reform in Austria, 1867–1914

This article examines Austria’s efforts to reform teacher education during the period of the Dual Monarchy, 1867–1914. It offers insight into the role of teachers in Austrian society and how this role changed over time. It demonstrates that, during this period, teaching became an institutionalised and professionalised occupation. This process of professionalisation brought teachers firmly under state control, leading to conflict between teachers and the Austrian educational bureaucracy. This process also led to the development of a robust network of teachers’ associations to represent the interest of Austrian teachers and to contribute to their professional development. This article utilises documents from the Austrian educational bureaucracy, printed curriculum and pedagogical journals to illustrate that Austrian teacher training reforms offer crucial insight into the development of public education in the late nineteenth century.     

父亲的眼睛

儿子酷爱橄榄球运动,父亲则长期做儿子的铁杆支持者。正是来自父亲源源不断的支持和鼓励,使儿子终于抓住机会证明了自己。     

Critical factors that influence a young person’s journey toward sustainable employment

International Journal for Educational and Vocational Guidance - This article examines the employment trajectories of 50 young job seekers to gain insight into the critical factors that influence a...     

Food sharing in albino rat pups: Does familiarity breed contempt?

The present experiment investigated the effects of kinship and familiarity upon food sharing in pairs of albino rat pups. Five pairs of rats from each of the following groups were tested: (1) familiar siblings, (2) nonfamiliar siblings, (3) familiar nonsiblings, and (4) nonfamiliar non-siblings. A small food portion was used, necessitating not only close physical contact, but also cooperation in the sense that both pups were required to remain relatively immobile in order for both to feed simultaneously. Results indicated more frequent sharing among unfamiliar pups, whether related or not. Results also indicated that food sharing increased in frequency among all four groups over the 5-day testing period, suggesting that cooperation in the form of food sharing can develop, or increase in frequency, over time in albino rat pups.