The preparation experiences of elementary mathematics specialists: examining influences on beliefs,content knowledge,and teaching practices

Many in the field of mathematics education call for elementary schools to have elementary mathematics specialists (EMSs) who provide needed mathematical expertise and support for children and teachers. EMSs serve as a reasonable, immediate alternative to the challenges generated by elementary teachers needing improved mathematical knowledge for teaching in the classroom. However, limited inquiry has explored how to best prepare EMSs and how program features and learning activities influence their development. This mixed-method study identifies some of the interrelated benefits from a K-5 Mathematics Endorsement Program designed to prepare EMSs through examining changes in mathematical beliefs, specialized content knowledge (SCK), and classroom teaching practices during the program. Data (n = 32) were collected over the 2-semester program via belief surveys, a content knowledge assessment, observations of teaching practices, and individual interviews from elementary teachers participating in the program. The findings show some changes in beliefs can be made relatively quickly, other shifts in beliefs take more time and continued support, and changes in SCK and adoption of various aspects of standard-based pedagogy require considerably greater opportunities to learn. The described program features and learning experiences provided a context for these changes and offer considerations for EMS preparation programs.     

Introducing teaching cases with face-to-face and computer-mediated discussion: Two multi-classroom quasi-experiments

Two studies were conducted in multisection introductory child and adolescent development classes to determine effects of introducing abbreviated teaching case studies that were then discussed either in face-to-face or online formats. Students receiving teaching case studies in either format in both classes showed improved ability to critically analyze probe and final cases compared to control participants. Both case study groups in the child development class also showed increased application of psychological concepts in analyzing new cases. No differences in course knowledge were expected as a function of condition and none were found. Hypothesized case-related increases in efficacy for teaching also were not observed. Results were interpreted as supporting a case analysis approach in educational psychology classes and use of online methods for presentation and discussion of abbreviated cases.     

Gesture as a window on children's beginning understanding of false belief

Given that gestures may provide access to transitions in cognitive development, preschoolers' performance on standard tasks was compared with their performance on a new gesture false belief task. Experiment 1 confirmed that children (N=45, M age=54 months) responded consistently on two gesture tasks and that there is dramatic improvement on both the gesture false belief task and a standard task from ages 3 to 5. In 2 subsequent experiments focusing on children in transition with respect to understanding false beliefs (Ns=34 and 70, M age=48 months), there was a significant advantage of gesture over standard and novel verbal-response tasks. Iconic gesture may facilitate reasoning about opaque mental states in children who are rapidly developing concepts of mind.     

Prospective Elementary Mathematics Specialists’ developing instructional practices: support and mentorship during an authentic residency

Journal of Mathematics Teacher Education - This case study explored Prospective Elementary Mathematics Specialists’ (PEMSs) pedagogical practices during a K-5 Mathematics Endorsement (K-5 ME)...     

Analysing Creative Design Process: A Set of Tools to Understand Activity in its Socio-cultural and Historic Context

Previous theoretical frameworks used to research and explain creative design processes tend to privilege individual expression and not address the context in which the process occurs. This is problematic due to the ways in which creative activities are embedded in and shaped by socio-cultural and historic contexts. In this article we focus on the ways in which cultural historic activity theory (CHAT) and its analytical activity systems can be used to reveal creative processes in context. We draw on the tools and concepts of CHAT and data from a study of visual communication design (VCD) students and lecturers situated within a transnational higher education (TNHE) context at a university in China. An analytical framework was constructed to research practices used in creative design process learning. The dynamic nature of CHAT offers design process research methods a set of analytical tools to capture the powerful parts played by artifacts and interactions within specific sociocultural and historic learning contexts.     

The role of high school racial composition and opportunities to learn in students' STEM college participation

We analyze longitudinal data from students who spent their academic careers in North Carolina (NC) public secondary schools and attended NC public universities to investigate the importance of high school racial composition and opportunities to learn in secondary school for choosing a science, technology, engineering, and mathematics (STEM) major. We consider school racial composition and opportunities to learn as contexts that shape students' decisions regarding college majors. Results of cross‐classified hierarchical logistic models indicate that attending schools with predominantly White students is negatively associated with declaring a STEM major and with graduating with a STEM major irrespective of students' own race. The finding suggests that for students in North Carolina, attending racially isolated White high schools is related to a decrease in adolescents' participation in STEM during college.     

Students’ Occupational Aspirations: Can Family Relationships Account for Differences Between Immigrant and Socioeconomic Groups?

Immigrant background and disadvantaged socioeconomic background are two key predictors of poorer school achievement in Europe. However, the former is associated with higher while the latter is associated with lower aspirations. This study asks whether family relationships account for this difference. Data come from 5,926 students in Germany and Sweden, eliciting indicators of family background and relationships at age 14–15 years (2011) and occupational aspirations 1 year later. High aspirations were found among students of non-European background and students with higher parental occupational status. Structural equation models showed that while immigrant families had greater parental aspirations and encouragement, family cohesion, and parental monitoring, only parental aspirations mediated the effects of family background.     

Phonemic Representation and Early Spelling Errors in Bilingual Children

The relationship between linguistic experience and phonemic representations in spelling was investigated in two groups of Mandarin–English bilingual children (aged 5–6 years) who spoke mostly Mandarin-L1 (n = 23) or mostly English-L1 (n = 27) at home. A 60-item cloze task including high- and low-frequency words with word-initial and word-final target phonemes that are either common to Mandarin and English (/f/ and /p/), or found only in English (/v/ and /b/), was developed and administered to both groups. With performance for a neutral control phoneme /m/ matched, spelling accuracy for the common phonemes was equivalent but the Mandarin-L1 children's performance for /v/ and /b/ was significantly poorer than that of their English-L1 classmates in low-frequency words. For both groups, performance on word-final targets was poorer for English-only phonemes than common phonemes. If early literacy development depends on stored phonological representations of the first language, these findings have implications for language minority communities.     

Relationship Reciprocation Modulates Resource Allocation in Adolescent Social Networks: Developmental Effects

Adolescence is characterized as a period of social reorientation toward peer relationships, entailing the emergence of sophisticated social abilities. Two studies (Study 1: N = 42, ages 13–17; Study 2: N = 81, ages 13–16) investigated age group differences in the impact of relationship reciprocation within school‐based social networks on an experimental measure of cooperation behavior. Results suggest development between mid‐ and late adolescence in the extent to which reciprocation of social ties predicted resource allocation. With increasing age group, investment decisions increasingly reflected the degree to which peers reciprocated feelings of friendship. This result may reflect social‐cognitive development, which could facilitate the ability to navigate an increasingly complex social world in adolescence and promote positive and enduring relationships into adulthood.