The Development of Teacher Knowledge in Support of Student Mathematical Inquiry

Abstract

Applying the Mathematical Knowledge for Teaching framework, we discuss the components of teacher knowledge that might be useful in supporting mathematical inquiry, and examine ways in which we strive to develop this knowledge within a middle grades mathematics program for undergraduate students who are prospective teachers. Using sample activities from multiple courses in the program, we offer general principles of instruction for supporting mathematical inquiry at all grade levels. We contend that an awareness and application of the multiple facets of mathematical knowledge for teaching can be critical to supporting mathematical inquiry across the K-16 spectrum.     

Resilience in Context: A Brief and Culturally Grounded Measure for Syrian Refugee and Jordanian Host‐Community Adolescents

Validated measures are needed for assessing resilience in conflict settings. An Arabic version of the Child and Youth Resilience Measure (CYRM) was developed and tested in Jordan. Following qualitative work, surveys were implemented with male/female, refugee/nonrefugee samples (N = 603, 11–18 years). Confirmatory factor analyses tested three‐factor structures for 28‐ and 12‐item CYRMs and measurement equivalence across groups. CYRM‐12 showed measurement reliability and face, content, construct (comparative fit index = .92–.98), and convergent validity. Gender‐differentiated item loadings reflected resource access and social responsibilities. Resilience scores were inversely associated with mental health symptoms, and for Syrian refugees were unrelated to lifetime trauma exposure. In assessing individual, family, and community‐level dimensions of resilience, the CYRM is a useful measure for research and practice with refugee and host‐community youth.     

A Person-Centered Approach to Students' Evaluations of Perceived Fear Appeals and Their Association With Engagement

A person-centered approach was employed to investigate how students' evaluation of perceived teacher utility value messages, i.e., fear appeals, as a threat and as a challenge, combined within individuals and how these combinations related to student engagement. Two studies were conducted with students in their final two years of secondary education. Empirically distinct clusters emerged at two time points in the academic year. Evaluating the message in the fear appeal at a higher level of challenge than threat was beneficial. Unexpectedly, high threat was associated with high engagement, as long as high challenge was also present, however, this combination was also related to high emotional disaffection. Moderate threat combined with moderate challenge had the most detrimental relationship with student engagement. Educational interventions should aim to increase the likelihood of a challenge evaluation.     

Component skills affecting elementary students’ informational text comprehension

This study was conducted to examine the factors that influence informational text comprehension and to determine how these vary for students with higher and lower component skills. The sample included 177 students in grades 3–5. Regression analyses were used to predict informational text comprehension with decoding efficiency, vocabulary knowledge, prior knowledge, and intrinsic motivation. This model, that also included age and grade as control variables, explained 62.5 % of the variance in informational text comprehension. Each component skill explained unique variance, and vocabulary knowledge accounted for the largest portion. Next, we examined whether the factors contributed differently to informational text comprehension for students with higher and lower component skills. Overall, the regressions were better predictors for students with higher than those with lower component skills. For students with lower component skills, motivation and vocabulary were consistent predictors, whereas vocabulary and decoding efficiency were consistent predictors for students with higher component skills. The findings indicate multiple factors are important for informational text comprehension, particularly vocabulary, and research should examine this topic for different types of readers.     

Bottling fog? The quest for instructional management

Elsewhere, the authors have unpacked instructional leadership and have documented that such leadership is associated with more effective schools. Indeed, there has been for a considerable time nearly universal acceptance that learning-centered leadership should provide the central platform on which leadership is enacted. In this paper, a less sanguine narrative is provided on instructional management. Specifically, it documents that for all the evidence and recognition of importance, learning-focused leadership remains a small domain of action for leaders at the school and district levels. It then focuses on both the culture of the profession of school administration and the nature of schooling to explain why in the face of considerable energy and effort only marginal improvements have been realized in deepening instructional leadership. It closes with an analysis of possible paths going forward.     

Schedule-induced polydipsia contrast in the rat

Schedule-induced polydipsia was studied using a behavioral contrast paradigm. Food pellets were delivered to food-deprived rats on a response-independent FT 1-min schedule. Licking on a tube produced water on a MULT FR 10 FR 10, MULT FR 10 EXT, or MIXED FR 10 EXT for three rats (Experiment 1) and on a MULT VI VI, MULT VI EXT, or MIXED VI EXT schedule for three other rats (Experiment 2). On the FR schedules, rats could drink more water by increasing lick rates, but on the VI schedules the amount of drinking was fixed by the schedule parameters and was relatively unaffected by lick rates. Relative to MULT FR FR, positive polydipsia contrast was clearly demonstrated on MULT and MIXED FR EXT; but relative to MULT VI VI, contrast was not demonstrated on MULT and MIXED VI EXT. These data suggest that polydipsia contrast occurs only if increased licking permits increased drinking.     

Impact of sustained professional development in STEM on outcome measures in a diverse urban district

Sustained professional development can support STEM (Science, Technology, Engineering, and Mathematics) reform. The authors describe a 3-year study of sustained professional development for 3 diverse urban schools across the salient factors of fidelity of implementation of project-based learning, development of professional learning communities, and student achievement. Qualitative and quantitative data were collected. The students who experienced the greatest fidelity of implementation exhibited the greatest gains (d = 1.41–2.03) on standardized test scores, while those with the lowest fidelity of implementation exhibited negative gains (d = –0.16 to –0.08). Qualitative data indicated teachers perceived there were multiple benefits from the implementation of project-based learning.     

Confirmatory factor analyses comparing parental involvement frameworks with secondary students

Given the lack of research on measurement models used to operationalize parental involvement with secondary students, the goal of this research is to examine the measurement properties of the three‐domain conceptualization of parental involvement including school‐based involvement, home‐based involvement, and academic socialization, compared to a more nuanced six domain conceptualization school‐based (1) school/parent communication, (2) attending school activities, home‐based (3) home activities, (4) homework help, academic socialization, (5) parent–child communication about education, and (6) parental aspirations for child's education. When comparing the fit among the models, the six‐factor model had best fit indices and indicated varied correlations among the subdomains. The six‐factor model allowed for more nuanced variations among the subdomains that may be helpful when assessing parental involvement with high school students.     

How Do Academic Departments Impact Student Satisfaction? Understanding the Contextual Effects of Departments

Using multilevel modeling to analyze survey data from more than 1,300 alumni from a large research university, this study examines the impact that academic departments have on student satisfaction and development. Controlling for individual characteristics, we found that characteristics of departments such as faculty contact with students, research emphasis, and proportion of female undergraduates had a significant impact on satisfaction with education in the major and the perceived impact that college had on skill development.