Mathematical Modeling in the Elementary Grades: Developing and Testing an Assessment

Mathematical modeling is a high-leverage topic, critical for college and career readiness, participation in STEM education, and civic engagement. Mathematical modeling involves connecting real-world situations, phenomenon, and/or data with mathematical models, and in this way applies across various STEM disciplines, including mathematics, engineering, and science. Although research has begun to explore mathematical modeling instruction in the elementary grades, questions remain about how to assess student learning at the elementary level. We addressed this need by designing an assessment of mathematical modeling competencies for students in grades 3 through 5. Informed by international research, our assessment includes a hybrid structure to assess mathematical modeling competencies holistically (as students engage in the complete modeling process) and atomistically (as students engage in different components of the modeling process, including making sense of phenomena and real-world situations, setting up and operating on mathematical models, and interpreting results in relation to the real-world context). We conducted student interviews, followed by two rounds of pilot testing to inform item development and ensure acceptable psychometric properties. The final assessment included 13 items (9 multiple choice, 3 open-response, and 1 complete modeling task). We describe our assessment development process, and provide sample assessment items and detailed coding rubrics. We summarize quantitative analyses which established high reliability and low standard error for our assessment, supporting its use for grades 3 to 5. Implications of our framework and assessment for mathematical modeling instruction and future research on STEM learning are discussed.

     

Universities,dependency and the market: innovative lessons from Kenya

Higher education in developing nations is typically viewed from a dependency perspective – institutions are seen as merely recipients of Western knowledge, aid and reform efforts. Nevertheless, universities in both the centre and the periphery are dealing with tensions between protecting the public good and embracing neoliberal values based on a market approach to higher education. In the USA and Europe these competing interests are typically cast as mutually exclusive. Our study on the market approach to higher education in Kenya, however, suggests that public and private interests can be complementary, contributing to a re-envisioning of the traditional mission of higher education. This article seeks to examine more fully the nature of reform efforts at two universities in Kenya, to elucidate lessons for universities undergoing market-oriented reform in the West and to suggest a reciprocal relationship between institutions in Africa and Europe, upending the centre-periphery paradigm.     

Accelerating the College and Career Readiness of Diverse K–5 Literacy Learners

Given the increasing demand for a well-educated American workforce, college and career readiness has become a significant educational priority. New educational initiatives, including the Common Core State Standards for English Language Arts, are being developed and implemented to prepare students for success in postsecondary education and the workplace. In this article, we discuss how college and career readiness standards have transformed expectations for literacy instruction in K–5 classrooms, especially for students from diverse cultural and linguistic backgrounds. Given that students of color have been historically underserved in schools, we contend that these children need more equitable and enriched opportunities to learn academic literacies, content knowledge, and communication skills to achieve their future college aspirations and career goals. To that end, we offer key principles (i.e., community-oriented classrooms, close reading of complex texts, content-rich inquiry, and cultural connectedness) that elementary educators can use to design engaging learning environments and robust literacy lessons that advance the college and career readiness of all students.     

Identity‐trajectory: Reframing early career academic experience

Our longitudinal qualitative research program examining doctoral student, post‐PhD researcher and new lecturer experience is situated in an international literature documenting how early career academics learn through experience. In common with others, our work is framed within an identity perspective. What makes our view of identity distinct is a biographical focus: emphasizing individual agency; situating academic work within the personal arena; and encompassing transitions across roles. This paper demonstrates how the construct of ‘identity‐trajectory' which links a narrative approach with identity construction contributes to understanding how early career academics learn through experience and navigate their journeys.     

Youth exposure to violence prevention programs in a national sample

This paper assesses how many children and youth have had exposure to programs aimed at preventing various kinds of violence perpetration and victimization. Based on a national sample of children 5–17, 65% had ever been exposed to a violence prevention program, 55% in the past year. Most respondents (71%) rated the programs as very or somewhat helpful. Younger children (5–9) who had been exposed to higher quality prevention programs had lower levels of peer victimization and perpetration. But the association did not apply to older youth or youth exposed to lower quality programs. Disclosure to authorities was also more common for children with higher quality program exposure who had experienced peer victimizations or conventional crime victimizations. The findings are consistent with possible benefits from violence prevention education programs. However, they also suggest that too few programs currently include efficacious components.     

Upset among youth in response to questions about exposure to violence,sexual assault and family maltreatment

To assess whether youth are upset by being asked questions about sensitive kinds of abuse, victimization, family maltreatment, and sexual victimization in the course of standard epidemiological surveys. A national sample of youth aged 10–17 were interviewed on the telephone by experienced interviewers as part of the National Survey of Children Exposed to Violence. At the end they were asked whether answering questions had upset them. Of the youth interviewed, 4.5% reported being at all upset and 0.8% reported being pretty or a lot upset. However, only a minority of those upset, .3% of the total sample, said they would not participate again had they known about the content. But even in this group, the regret about participation was mostly due to the length of the survey, not the types of questions being asked. Thus, asking about exposure to abuse and sensitive kinds of victimization in standard interview surveys is associated with low levels of respondent upset due to the nature of the questions.     

Effects of inter-limb asymmetries on physical and sports performance: a systematic review

The prevalence of inter-limb asymmetries has been reported in numerous studies across a wide range of sports and physical qualities; however, few have analysed their effects on physical and sports performance. A systematic review of the literature was undertaken using the Medline and SPORT Discus databases, with all articles required to meet a specified criteria based on a quality review. Eighteen articles met the inclusion criteria, relating participant asymmetry scores to physical and sports performance measures. The findings of this systematic review indicate that inter-limb differences in strength may be detrimental to jumping, kicking and cycling performance. When inter-limb asymmetries are quantified during jumping based exercises, they have been primarily used to examine their association with change of direction speed with mixed findings. Inter-limb asymmetries have also been quantified in anthropometry, sprinting, dynamic balance and sport-specific actions, again with inconsistent findings. However, all results have been reported using associative analysis with physical or sport performance metrics with no randomised controlled trials included. Further research is warranted to understand the mechanisms that underpin inter-limb differences and the magnitude of performance changes that can be accounted for by these asymmetries.     

Team Shared Cognitive Constructs: A Meta‐Analysis Exploring the Effects of Shared Cognitive Constructs on Team Performance

Sharing similar cognitive structures among team members is one key element for the collective to solve problems and work more efficiently (DeChurch & Mesmer‐Magnus, 2010). Research has shown that team cognition is positively associated with team performance in both organizational and educational settings. Team shared cognition constructs are relatively new constructs and have been identified in the literature as team mental models, shared mental models, information sharing, transactive memory systems, cognitive congruence, and group learning. Cannon‐Bowers and Salas (2001) called for better measures of shared cognition to be developed, partially through the integration of shared cognition measures across disciplines. The purpose of this meta‐analysis is to look at these six team cognition constructs in an effort to help identify which measure, if any, results in predicting team performance best. Results indicated that information sharing was statistically significant compared to team mental memory and group learning, and marginally significant compared to transactive memory systems. Additionally, shared mental models and cognitive congruence showed higher associations with performance compared to team mental models, group learning, and transactive memory systems.