Hands-On: Investigating the role of physical manipulatives in spatial training

Studies show that spatial interventions lead to improvements in mathematics. However, outcomes vary based on whether physical manipulatives (embodied action) are used during training. This study compares the effects of embodied and non-embodied spatial interventions on spatial and mathematics outcomes. The study has a randomized, controlled, pre-post, follow-up, training design (N = 182; mean age 8 years; 49% female; 83.5% White). We show that both embodied and non-embodied spatial training approaches improve spatial skills compared to control. However, we conclude that embodied spatial training using physical manipulatives leads to larger, more consistent gains in mathematics and greater depth of spatial processing than non-embodied training. These findings highlight the potential of spatial activities, particularly those that use physical materials, for improving children's mathematics skills.     

The assessment of creativity for people with autism spectrum disorder

The term “creativity” can conjure various ideas and meanings. It's no surprise that methods for measuring such a concept vary widely and are not without controversy. This is particularly true among people with autism spectrum disorder (ASD), who are a unique yet incredibly diverse group of individuals. This article provides an overview of the assessment of creativity among individuals with ASD. Findings among studies that have sought to determine whether individuals with ASD are more or less creative than their neurotypical peers are mixed, yet the authors propose that intentional development of creativity in all youth, including those with ASD, can be beneficial.     

Integration of addiction recovery and professional identities for counselor trainees

Counselor trainees in recovery from substance use often have a foundational recovery identity; they also develop a professional counselor identity through their training. This study utilized narrative inquiry to explore the integration of professional identity and recovery identity. Resonant threads and narrative tensions emerged from the storied experiences of participants.     

Counselor educator workload and burnout in the era of COVID-19

The COVID-19 pandemic brought disruption to teaching and other aspects of workload in higher education. The current study sampled 126 counselor educators about workload, compassion satisfaction, burnout, and job satisfaction. Results indicated that faculty workload and administrative responsibilities increased for counselor educators during the pandemic without adequate compensation or support.     

Amplifying organisational discourses to the public: Media narratives of Teach For Australia, 2008–2020

Alternative teacher education programmes have emerged in many countries as a new approach to recruiting, educating and placing teachers in underperforming schools. The media plays an important role in framing perceptions of these programmes and their teachers, including in Australia, but this has not been the subject of significant research to date. This study examines how one alternative teacher education programme—Teach For Australia (TFAus)—has been positioned and framed within the news media since its inception. It critically analyses the portrayal of TFAus and concomitant educational discourses to explore their connection to larger issues surrounding teacher education and teaching quality. Drawing on an analysis of 122 print/online media articles, we identify narratives related to prestige, benevolence and the ‘alternative’ nature of the programme, alongside a narrative critical of TFAus. Despite this critical narrative, in investigating and opening up a dialogue on the perceptions and depictions of TFAus, we posit that the programme—although controversial in nature—has generally benefited from print media coverage, advancing its reputation as a major contributor to education reform and champion of educational equity.     

Designing learning environments to promote competent lay engagement with science

An important goal of science education is promoting scientific literacy—the competence to interact with science as laypeople to solve problems and make decisions in their personal and community lives. This is made more challenging in an age of increasing science denialism. In this article, we discuss how to design learning environments for science education that can help students attain scientific literacy. We argue that science curricula should encompass lessons with two distinguishable foci. One focus engages students in understanding the reliability of science. The second focus engages students as laypeople interacting with science in the public sphere. We discuss these two curricular foci, presenting examples from our own work on designing and implementing instruction with the first focus.     

Instructional practices in secondary science: How teachers achieve local and standards-based success

This article reports on analyses of the instructional practices of six middle- and high-school science teachers in the United States who participated in a research-practice partnership that aims to support reform science education goals at scale. All six teachers were well qualified, experienced, and locally successful—respected by students, parents, colleagues, and administrators—but they differed in their success in supporting students' three-dimensional learning. Our goal is to understand how the teachers' instructional practices contributed to their similarities in achieving local success and to differences in enabling students' learning, and to consider the implications of these findings for research-practice partnerships. Data sources included classroom videos supplemented by interviews with teachers and focus students and examples of student work. We also compared students' learning gains by teacher using pre–post assessments that elicited three-dimensional performances. Analyses of classroom videos showed how all six teachers achieved local success—they led effectively managed classrooms, covered the curriculum by teaching almost all unit activities, and assessed students' work in fair and efficient ways. There were important differences, however, in how teachers engaged students in science practices. Teachers in classrooms where students achieved lower learning gains followed a pattern of practice we describe as activity-based teaching, in which students completed investigations and hands-on activities with few opportunities for sensemaking discussions or three-dimensional science performances. Teachers whose students achieved higher learning gains combined the social stability characteristic of local classroom success with more demanding instructional practices associated with scientific sensemaking and cognitive apprenticeship. We conclude with a discussion of implications for research-practice partnerships, highlighting how partnerships need to support all teachers in achieving both local and standards-based success.     

Construction of periodic and solitary wave solutions for the complex nonlinear evolution equations

In this paper, we present a functional variable method for finding periodic wave and solitary wave solutions of complex nonlinear evolution equations in mathematical physics and engineering sciences. The proposed technique is tested on the generalized Zakharov equation and higher-order nonlinear Schrödinger equations. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in applied mathematics.     

Robust observer-based fault estimation and accommodation of discrete-time piecewise linear systems

In this paper a new integrated observer-based fault estimation and accommodation strategy for discrete-time piecewise linear (PWL) systems subject to actuator faults is proposed. A robust estimator is designed to simultaneously estimate the state of the system and the actuator fault. Then, the estimate of fault is used to compensate for the effect of the fault. By using the estimate of fault and the states, a fault tolerant controller using a PWL state feedback is designed. The observer-based fault-tolerant controller is obtained by the interconnection of the estimator and the state feedback controller. We show that separate design of the state feedback and the estimator results in the stability of the overall closed-loop system. In addition, the input-to-state stability (ISS) gain for the closed-loop system is obtained and a procedure for minimizing it is given. All of the design conditions are formulated in terms of linear matrix inequalities (LMI) which can be solved efficiently. Also, performance of the estimator and the state feedback controller are minimized by solving convex optimization problems. The efficiency of the method is demonstrated by means of a numerical example.