An Example of Inquiry in Linear Algebra: The Roles of Symbolizing and Brokering

Abstract

In this paper we address practical questions such as: How do symbols appear and evolve in an inquiry-oriented classroom? How can an instructor connect students with traditional notation and vocabulary without undermining their sense of ownership of the material? We tender an example from linear algebra that highlights the roles of the instructor as a broker, and the ways in which students participate in the practice of symbolizing as they reinvent the diagonalization equation A = PDP^?1.     

When Students Grade Their Teachers: A Validity Analysis of the Tripod Student Survey

This article develops a validity argument for the use of the Tripod student survey of instructional practices to assess teacher effectiveness in summative teacher evaluations and professional development decisions. This paper expands upon previous research in three ways: (a) it draws from current validity thinking to examine the evidence for separate summative and formative purposes of the Tripod survey, (b) it takes advantage of a large, multiple measure data set collected by the Measures of Effective Teaching Project, and (c) it accounts for both the multilevel nature of school data and contextual classroom features. Preliminary evidence was found for a two-dimensional structure, representing classroom management (Control) and academic support (Support). The Control and Support Tripod scores are fairly reliable and correlated with classroom observation ratings and teacher value-added scores. However, caution is suggested in interpreting these results as an endorsement for use in high-stakes teacher evaluations.     

Peer Groups as a Context for School Misconduct: The Moderating Role of Group Interactional Style

Peer group interactional style was examined as a moderator of the relation between peer group school misconduct and group members' school misconduct. Participants were 705 students (M_age = 11.59 years, SD = 1.37) in 148 peer groups. Children reported on their school misconduct in fall and spring. In the winter, group members were observed in a limited‐resource task and a group conversation task, and negative and positive group interactional styles were assessed. Multilevel modeling indicated that membership in groups that were higher on school misconduct predicted greater school misconduct only when the groups were high on negative or low on positive interactional style. Results suggest that negative laughter and a coercive interactional style may intensify group effects on children's misconduct.     

Risk and protective factors for poor school adjustment in lesbian,gay, and bisexual (LGB) high school youth: Variable and person‐centered analyses

This study examined the relations between school climate and school adjustment among 101 lesbian, gay, and bisexual (LGB) high school students and the moderating influence of social support on those relations. Students completed surveys to assess three aspects of the school climate (the school's exclusion/inclusion of LGB people, personal victimization in school for being LGB, and social support from teachers) as well as social support from family and close friends. Criterion variables were GPA, school belonging, and discipline problems. School climate variables explained significant amounts of variance in all criterion variables, after controlling for prior GPA, and there were no moderating effects of parent or friend support. Cluster analyses revealed one small group (n = 14) of highly vulnerable youth who were the least adjusted, most victimized, and least supported. Implications for teachers, counselors, and future research are discussed. © 2005 Wiley Periodicals, Inc. Psychol Schs 42: 159–172, 2005.     

“Women and the environmental are together”: using Participatory Rural Appraisal to examine gendered tensions about the environment

Environmental education research (EER) rarely includes women’s perspectives. This means that in environmental education research, an entire knowledge source is largely ignored. This study employed a methodology called Participatory Rural Appraisal, a methodology new to the field of EER, of Kenyan teachers from the Maasai Mara region to understand the tensions around environmental views. The purpose of this work was to examine, through the use of a participatory methodology, the conceptions of the environmental of these teachers and to uncover gendered tensions. The analysis included a continuous, thematic review that included the participants during the analysis. The findings included the following themes: Why are people doing what they are doing? Who is or is not acting? How do we move forward? This research documented gendered tensions such as the burdens of responsibility, the power imbalance disadvantaged women feel regarding solving environmental issues, and the blame that is directed at both men and women as a result of these burdens and power imbalances. This methodology provided a way for participants to understand each other’s viewpoints in layered ways, and pointed to gender issues throughout that sometimes caused blame. However, it also helped the participants think about how to work together.     

ADAPTING A METHODOLOGY FROM MATHEMATICS EDUCATION RESEARCH TO CHEMISTRY EDUCATION RESEARCH: DOCUMENTING COLLECTIVE ACTIVITY

In this report, we adapt and extend a methodology for documenting the collective production of meaning in a classroom community. A cornerstone of the methodological approach that we develop is a close examination of classroom discourse. Our efforts to analyze the collective production of meaning by examining classroom interaction are compatible with the relatively recent emphasis in mathematics and science education research that focuses on how communities of learners establish ideas through discourse and inquiry. The methodological approach we take builds on and extends an approach from mathematics education that uses Toulmin’s argumentation model to document and analyze students’ conceptual progress. Our modification introduces a new criterion for empirically demonstrating when particular ways of reasoning become part of the normative practices of the community. An example from an undergraduate course in physical chemistry is used to illustrate the methodology.     

Detailed description of Division I ice hockey concussions: Findings from the NCAA and Department of Defense CARE Consortium

Objective:Since concussion is the most common injury in ice hockey,the objective of the current study was to elucidate risk factors,specific mechanisms,and clinical presentations of concussion in men’s and women’s ice hockey.Methods:Ice hockey players from 5 institutions participating in the Concussion Assessment,Research,and Education Consortium were eligible for the current study.Participants who sustained a concussion outside of this sport were excluded.There were 332(250 males,82 females)athletes who participated in ice hockey,and 47(36 males,11 females)who sustained a concussion.Results:Previous concussion(odds ratio(OR)=2.00;95%confidence interval(95%CI):1.02‒3.91)was associated with increased incident concussion odds,while wearing a mouthguard was protective against incident concussion(OR=0.43;95%CI:0.22‒0.85).Overall,concussion mechanisms did not significantly differ between sexes.There were specific differences in how concussions presented clinically across male and female ice hockey players,however.Females(9.09%)were less likely than males(41.67%)to have a delayed symptom onset(p=0.045).Additionally,females took significantly longer to reach asymptomatic(p=0.015)and return-to-play clearance(p=0.005).Within the first 2 weeks post-concussion,86.11%of males reached asymptomatic,while only 45.50%of females reached the same phase of recovery.Most males(91.67%)were cleared for return to play within 3 weeks of their concussion,compared to less than half(45.50%)of females.Conclusion:The current study proposes possible risk factors,mechanisms,and clinical profiles to be validated in future concussions studies with larger female sample sizes.Understanding specific risk factors,concussion mechanisms,and clinical profiles of concussion in collegiate ice hockey may generate ideas for future concussion prevention or intervention studies.     

The Effect of Mobile Support Devices on the Anxiety and Self‐Efficacy of Hospital Float Staff

Floating is the act of staff moving from one unit to another based on the needs of the patients in a hospital. Many staff who float to different units express negative feelings, including anxiety and lack of self‐efficacy. However, floating is an economical and efficient method to use staff across the hospital, especially with current staffing shortages in the United States. This study investigated how the use of mobile performance support devices may help reduce anxiety and increase self‐efficacy for staff who float to different units. With access to multiple resources available on mobile devices, Bandura's social learning theory and self‐efficacy concept set the framework through modeling, observing, and imitating others in order to reproduce certain behaviors and tasks and believe in one's capability to perform. A quantitative study incorporating the retrospective pretest‐posttest design was conducted using the population of float staff, both nurses and respiratory therapists, from Children's Medical Center of Dallas. Both the State‐Trait Anxiety Inventory and General Self‐Efficacy Scale, along with a basic demographic tool, were used to explore anxiety and self‐efficacy in relation to the use of mobile performance support devices. Findings can be used to alleviate the negative feelings of staff toward the idea of floating.