Articulating syntactic and numeric perspectives on equivalence: the case of rational expressions

Our study concerns the conceptual mathematical knowledge that emerges during the resolution of tasks on the equivalence of polynomial and rational algebraic expressions, by using CAS and paper-and-pencil techniques. The theoretical framework we adopt is the Anthropological Theory of Didactics (Chevallard 19:221–266, 1999), in combination with semiotic aspects from the instrumental approach to tool use. The analysis we present is based on interviews carried out with a 10th grade student who participated in our research. Our findings highlight the mathematical knowledge (technological discourse) constructed in the process of confronting, differentiating, and articulating the several mathematical techniques and theoretical ideas (pertaining to the numeric perspective and the syntactic perspective on algebraic equivalence) related to the designed equivalence tasks.     

Cognitive style of gifted and average readers

Thirty gifted and 30 average readers were selected from a population of 300 eighth, tenth, and twelfth grade students in small towns or rural areas in Kansas. Students were classified as field independent or field dependent. It was found that gifted and average readers used the same reading strategies but there were significant differences in how frequently some strategies were used. There were also significant differences in how frequently some strategies were used by field independent and field dependent readers. Gifted readers scored significantly higher than average readers on the Hidden Figures Test. No significant differences in the frequency of reading strategy use were found between field independent gifted readers and field dependent gifted readers or between field independent and field dependent average readers.     

Reducing Student Bias Against Older Adults Through the Use of Literature

Human services educators must address the issue of students’ bias toward older adults to encourage interest and meet the growing need for professionals in the field. The use of literature can challenge students’ preconceptions of older adults while innovative teaching methods can guide their development of more tolerant views and introduce them to a field that they may have previously given little consideration. Based on a model of cultural competence development, teaching strategies, learning objectives, literature, and an evaluation are suggested.     

Associations Between School Readiness and Obesity‐ and Inflammation‐Related Biomarkers in Low‐Income Preschoolers Within the Healthy Kids Study

Previous research suggests obesity is negatively related to cognitive functioning and academic outcomes in addition to physical health. However, not much is known about this association in early childhood or potential physiological underpinnings. Biomarkers related to obesity have been associated with cognition, in particular the adipokine leptin, and pro‐inflammatory cytokines including interleukin‐6 (IL‐6), tumor necrosis factor‐alpha (TNF‐alpha) and C‐reactive protein (CRP). These associations may be further exacerbated for children who experience early life stress. With a sample of low‐income preschoolers, the current study examined associations between obesity‐related biomarkers and aspects of behavioral and cognitive school readiness. Partial correlations controlling for child age show hypothesized negative associations between pro‐inflammatory cytokines and school readiness, while leptin was positively associated with cognitive school readiness and body mass index (BMI) z‐score. Findings suggest connections between obesity, physiology, and school readiness need further examination, but may have implications for early childhood education and health interventions.     

Interactive Training Model: Enhancing Beginning Counseling Student Development

The authors propose the Interactive Training Model (ITM), a full classroom role play experience, as a method for helping student counselors develop essential interviewing and counseling skills and self‐awareness as required by the 2009 Council for Accreditation of Counseling and Related Educational Programs Standards. This pre‐post, quasiexperimental study involving 45 master's‐level students indicated that those who participated in the ITM made greater gains in supervisee development compared with those who participated in a traditional peer feedback model. Narrative student feedback regarding the use of ITM in an essential skills course is presented, and implications for counselor education are discussed.     

Selection of School Counselor Candidates: Future Directions at Two Universities

A new vision of school counseling asserts that counselors must address all children and must orient counseling services toward the primary mission of schools: to educate young people and to support their healthy development. Two universities that are working to prepare new vision school counselors have changed their recruitment and selection procedures to attract increased numbers of candidates who can be optimally trained to fulfill the requirements of this vision. The authors describe criteria and procedures used to select graduate students who have the greatest promise of becoming leaders, advocates, and change agents in schools to promote student learning and achievement.