Developing a Learning Progression for Curriculum,Instruction, and Student Learning: An Example from Mathematics Education

Learning progressions have been demarcated by some for science education, or only concerned with levels of sophistication in student thinking as determined by logical analyses of the discipline. We take the stance that learning progressions can be leveraged in mathematics education as a form of curriculum research that advances a linked understanding of students learning over time through careful articulation of a curricular framework and progression, instructional sequence, assessments, and levels of sophistication in student learning. Under this broadened conceptualization, we advance a methodology for developing and validating learning progressions, and advance several design considerations that can guide research concerned with engendering forms of mathematics learning, and curricular and instructional support for that learning. We advance a two-phase methodology of (a) research and development, and (b) testing and revision. Each phase involves iterative cycles of design and experimentation with the aim of developing a validated learning progression. In particular, we gathered empirical data to revise our hypothesized curricular framework and progression and to measure change in students. thinking over time as a means to validate both the effectiveness of our instructional sequence and of the assessments designed to capture learning. We use the context of early algebra to exemplify our approach to learning progressions in mathematics education with a focus on the concept of mathematical equivalence across Grades 3-5. The domain of work on research on learning over time is evolving; our work contributes a broadened role for learning progressions work in mathematics education research and practice.     

The Satisfaction with Job Life Scale Among Immigrants

This article reports the development of a short multi-item measurement scale of satisfaction with job life (SWJLS). This scale evaluates a person’s global assessment of job satisfaction. Two studies are presented for the purpose of establishing the reliability and validity of the SWJLS. The data were gathered among immigrants. The findings of both studies demonstrated that the SWJLS presents adequate psychometric properties. Exploratory and confirmatory factor analyses of the SWJLS evidenced a single underlying dimension. The reliability was highly satisfactory. Corroboration of validity was also yielded between correlations among indicators of well-being and acculturation, and scale scores. The results indicate that the SWJLS is a short and viable instrument to measure job life satisfaction.     

Knowledge Production in Non-European Spaces of Modernity: The Society of Jesus and the Circulation of Darwinian Ideas in Postcolonial Ecuador, 1860–1890

This article is based on a perspective on circulation of knowledge that allows the consideration of science as the result of the encounter between diverse communities. We tell a story that constantly changes places, scales, and cultures in order to stress the importance of networks as an alternative to the centre/periphery trope, which entangles world histories of science. The result is a picture much more complex and intertwined than the one suggested by these simplifying dichotomies. We focus on a case study that illuminates the process of knowledge production in non-European spaces of modernity. The return of the Society of Jesus to the newly independent nation-states of Latin America is the point of departure to analyse the circulation of a specific scientific idea in Ecuador: Darwin’s theory of biological evolution through natural selection. The article follows the paths of three different knowledge makers whose encounters are seen as sites of knowledge production: a religious order, a Latin American nation-state, and a Western European Jesuit-scientist.     

Career adaptability and career entrenchment

Career adaptability constitutes a resource that can help employees to effectively manage career changes and challenges. The goal of this study was to investigate the relationship between the two higher-order constructs of career adaptability and career entrenchment (i.e., the perceived inability and/or unwillingness to pursue new career opportunities), as well as relationships among the dimensions of career adaptability and career entrenchment. We hypothesized a negative relationship between overall career adaptability and career entrenchment, and more differentiated associations among their dimensions. Data for this study came from 404 employees in Brazil. Results of structural equation modeling showed that overall career adaptability weakly negatively predicted overall career entrenchment (standardized effect = − .13), after controlling for age, gender, education, and job tenure. More differentiated findings emerged at the dimension level. Future research should examine the mechanisms and boundary conditions of the relationship between career adaptability and career entrenchment.     

Cardiovascular reactivity in hypertensives: differential effect of expressing and inhibiting emotions during moments of interpersonal stress

This study investigated cardiovascular reactivity of hypertensive adults during periods of emotional stress. Two types of instructions were given at different moments, to the same subject, either to express or to suppress feelings during role-play. Expressing, but not inhibiting, emotions elicited significantly higher reactivity during responding to negative scenes, followed by responding during the positive interactions. Blood pressure increases in both expressing and inhibiting conditions, were also found during the instruction periods. Results indicated that socially demanding situations represent a stressor whose effects may vary depending on whether or not respondents regulate expression of emotions. It is suggested that the difficulty in expressing emotions found in some hypertensive individuals may have the function of controlling or reducing blood pressure reactivity.     

Inter- and intra-group variability in perceptions of behavior among Asian Americans and European Americans

Between-group and within-group differences in perceptions of behavior were examined among 74 Asian Americans and 111 European Americans. Participants rated videotaped interactions of Asian American mothers and daughters. Asian Americans, and a more homogeneous sample of Chinese Americans, perceived less maternal control and more reciprocity than did European Americans. Intra-cultural variations in perceptions were also evident, as within-group analyses revealed differences in perceptions based on the generational status of Asian Americans and the degree of multicultural experience of European Americans. Overall, findings suggest that perceptions of behavior are shaped as much by within-group differences in familiarity and experience with the target culture as by between-group differences in ethnicity. Implications for theories of child socialization, multicultural counseling, and observational research are discussed.