Fractions as the Coordination of Multiplicatively Related Quantities: A Cross-Sectional Study of Children's Thinking

Although equal sharing problems appear to support the development of fractions as multiplicative structures, very little work has examined how children's informal solutions reflect this possibility. The primary goal of this study was to analyze children's coordination of two quantities (number of people sharing and number of things being shared) in their solutions to equal sharing problems and to see to what extent this coordination was multiplicative. A secondary goal was to document children's solutions for equal sharing problems in which the quantities had a common factor (other than 1). Data consisted of problem-solving interviews with students in 1st, 3rd, 4th, and 5th grades (n=112). We found two major categories of strategies: (a) Parts Quantities strategies and (b) Ratio Quantities strategies. Parts quantities involved children's partitions of continuous units expressed in terms of the number of pieces that would be created. Ratio quantities involved children's creation of associated sets of discrete quantities. Within these strategies, children drew upon a range of relationships among fractions, ratio, multiplication, and division to mentally or physically manipulate quantities of sharers and things to produce exhaustive and equal partitions of the items. Additionally, we observed that problems that included number combinations with common factors elicited a wider range of whole-number knowledge and operations in children's strategies and therefore appeared to support richer interconnections than problems with relatively prime or more basic number combinations.     

Instructional Design Practice: Career Environments,Job Roles,and a Climate of Change

Instructional Design and Technology (IDT) professionals practice their skills in a broad range of career environments and job roles. The resulting collection of competency lists and wide range of practice environments, coupled with the frequent changes that have always characterized the field, produce complexity that is difficult to communicate to IDT students. However, students need to understand these complex aspects of the field so that they can make informed decisions about their career goals and educational direction. This review of the current literature looks at the current issues impacting practice and preparation. It concludes that the path professional academic preparation programs choose will depend on their orientation to instructional design and performance improvement, and whether they see themselves as preparing students for specific career environments or are pursuing a generalist program.     

Changes in instructors' assessment thinking related to experimentation with new strategies

Formative assessment has been recognised as a critical element in teaching for conceptual development. A case study research design was employed to: (1) characterise the assessment thinking of three science instructors at a research‐based university; and (2) examine the complex relationship between instructor thinking and practice by encouraging experimentation with alternative assessment strategies. Interviews, reflective journals, field notes and course documents were the data sources used to create a single case study that documented the development of these university instructors’ assessment thinking during their experimentation with formative assessment strategies. Throughout two semesters of experimentation, the instructors’ assessment thinking became more sophisticated; they grew to view the purpose of assessment less as a summative activity used for the assignment of marks and more as a tool for diagnosing student learning. However, more sophisticated thinking was not associated with revisions in teaching practice based on formative assessment data. Further investigations are needed to more completely understand the nature of assessment thinking and how assessment thinking influences assessment practices. Implications for professional development of university‐level science instructors include personalised experiences through which instructors can become active participants in gathering evidence of student learning that promotes growth in assessment thinking.     

A Path Analysis of Nutrition,Stimulation, and Child Development Among Young Children in Bihar,India

Nutrition plays an important role in the development of a child, particularly in low‐ and middle‐income countries where malnutrition is often widespread. The relation between diet, hemoglobin, nutritional status, motor development, stimulation and mental development was examined in a cross‐sectional sample of 1,079 children 12–18 months of age living in rural Bihar, India. Path analysis revealed associations between (a) length‐for‐age z‐scores and motor development, standardized β (β) = .285, p < .001, and (b) motor and all mental development outcomes (language: β = .422; personal‐social: β = .490; memory: β = .139; and executive function: β = .072, all p < .001). Additionally, stimulation was significantly associated with language scores and hemoglobin concentration with memory. These findings inform interventions aimed at improving child development in Northern India.     

Starting the data conversation: informing data services at an academic health sciences library

Objective

The research obtained information to plan data-related products and services.

Methods

Biomedical researchers in an academic medical center were selected using purposive sampling and interviewed using open-ended questions based on a literature review. Interviews were conducted until saturation was achieved.

Results

Interview responses informed library planners about researchers’ key data issues.

Conclusions

This approach proved valuable for planning data management products and services and raising library visibility among clients in the research data realm.     

Racial identity and academic attainment among African American adolescents

In this study, the relationships between racial identity and academic outcomes for African American adolescents were explored. In examining race beliefs, the study differentiated among (a) importance of race (centrality), (b) group affect (private regard), and (c) perceptions of societal beliefs (public regard) among 606 African American 17-year-old adolescents. Using cluster analysis, profiles of racial identity variables were created, and these profile groups were related to educational beliefs, performance, and later attainment (high school completion and college attendance). Results indicated cluster differences across study outcomes. Also, the relationships between academic attitudes and academic attainment differed across groups. Finally, the paper includes a discussion on the need to consider variation in how minority youth think about group membership in better understanding their academic development.     

Is Peer Interaction Necessary for Optimal Active Learning?

Meta-analyses of active-learning research consistently show that active-learning techniques result in greater student performance than traditional lecture-based courses. However, some individual studies show no effect of active-learning interventions. This may be due to inexperienced implementation of active learning. To minimize the effect of inexperience, we should try to provide more explicit implementation recommendations based on research into the key components of effective active learning. We investigated the optimal implementation of active-learning exercises within a “lecture” course. Two sections of nonmajors biology were taught by the same instructor, in the same semester, using the same instructional materials and assessments. Students in one section completed in-class active-learning exercises in cooperative groups, while students in the other section completed the same activities individually. Performance on low-level, multiple-choice assessments was not significantly different between sections. However, students who worked in cooperative groups on the in-class activities significantly outperformed students who completed the activities individually on the higher-level, extended-response questions. Our results provide additional evidence that group processing of activities should be the recommended mode of implementation for in-class active-learning exercises.     

Assessing Precollege Science Education Outreach Initiatives: A Funder's Perspective

We describe an assessment of the collective impact of 35 grants that the Howard Hughes Medical Institute (HHMI) made to biomedical research institutions in 1999 to support precollege science education outreach programs. Data collected from funded institutions were compared with data from a control group of institutions that had advanced to the last stage of review but had not been funded. The survey instrument and the results reveal outcomes and impacts that HHMI considers relevant for these programs. The following attributes are considered: ability to secure additional, non-HHMI funding; institution buy-in as measured by gains in dedicated space and staff; enhancement of the program director''s career; number and adoption of educational products developed; number of related publications and awards; percentage of programs for which teachers received course credit; increase in science content knowledge; and increase in student motivation to study science.     

Improving the Measurement of Cognitive Skills Through Automated Conversations

Open-ended, short-answer questions, referred to as constructed responses (CR), allow students to express knowledge and skills through their own words. While CRs can reduce the likelihood of guessing correct answers, they also enable students to provide errant responses due to a lack of knowledge or a misunderstanding of the question. Conversation-based assessments (CBAs) require constructing responses to open-ended prompts (similar to CRs), but also leverage natural-language processing to provide adaptive follow-up prompts that target particular information. This work describes an investigation into potential benefits of CBAs as they are compared to a CR approach. Results from 632 middle schoolers indicate that, when compared to CRs, the CBA items allowed 41% of students to provide a more complete response and improve their score.