Tales from three countries: reflections during COVID-19 for mathematical education in the future

How can school mathematics prepare citizens for a democratic society? Answers to this question are not static; they change as society and its problems change. The SARS-CoV-2 pandemic with its corresponding disease COVID-19 presents such a problem: what is needed to navigate this complex situation that involves, among other things, mathematics? Using the essay genre, we use three narratives from three countries—Italy, the USA (California), and Germany—to reflect on the goals of teaching mathematics during this crisis and examine aspects of each country’s standards for mathematics education. These three stories are framed by the authors’ backgrounds, experiences, interests, their country’s situation, and response to the pandemic. We first present the three narratives and then examine common issues across them that might provide insights beyond this current crisis, for preparing students to become active citizens. In particular, we focus on three issues: (1) developing a positive mindset toward mathematics to engage with and reflect on real-world problems, (2) improving interdisciplinary connections to the sciences to better understand how science professional practices and insights are similar or different from everyday practices, and (3) considering interpersonal and collective matters beyond the individual.

     

Impacts of an Early Childhood Mathematics and Science Intervention on Teaching Practices and Child Outcomes

abstract

This randomized controlled trial examined effects of the MyTeachingPartner-Math/Science intervention on the quality and quantity of teachers’ mathematics and science instruction, and children’s mathematics and science outcomes in 140 pre-kindergarten classrooms. Teachers participated in the intervention for two years with consecutive cohorts of children. Results from Year 1 are considered experimental, however due to high levels of attrition, results from Year 2 are considered quasi-experimental. Across both years, intervention teachers exhibited higher quality and quantity of instruction. In Year 1, there were no significant effects of the intervention on children’s outcomes. In Year 2, children in intervention classrooms made greater gains in teachers’ ratings of mathematics and science skills and performed better on a spring assessment of science skills. These results have implications for designing and evaluating professional development aimed at supporting children’s mathematics and science knowledge and skills.     

Interactive effects of guilt and moral disengagement on bullying,defending and outsider behavior

We examined the moderating effect of guilt on the associations between moral disengagement and bullying, defending and outsider behaviors in a sample of 404 students (203 boys; M_age = 11.09 years; SD = 1.48). Bullying, defending and outsider behavior were assessed through peer nominations, whereas guilt and moral disengagement were assessed by self-reports. Results showed that moral disengagement was associated with high levels of bullying and low levels of defending. Guilt was negatively associated with bullying and positively with defending. A moderating effect for guilt was also found: increasing levels of moral disengagement contributed to more bullying and outsider behavior, and to less defending, among students with low levels of guilt. The current research broadens the extant literature, showing the combined effects of guilt and moral disengagement on bullying-related behaviors.     

From Retrieval Status Values to Probabilities of Relevance for Advanced IR Applications

Information Retrieval systems typically sort the result with respect to document retrieval status values (RSV). According to the Probability Ranking Principle, this ranking ensures optimum retrieval quality if the RSVs are monotonously increasing with the probabilities of relevance (as e.g. for probabilistic IR models). However, advanced applications like filtering or distributed retrieval require estimates of the actual probability of relevance. The relationship between the RSV of a document and its probability of relevance can be described by a normalisation function which maps the retrieval status value onto the probability of relevance (mapping functions). In this paper, we explore the use of linear and logistic mapping functions for different retrieval methods. In a series of upper-bound experiments, we compare the approximation quality of the different mapping functions. We also investigate the effect on the resulting retrieval quality in distributed retrieval (only merging, without resource selection). These experiments show that good estimates of the actual probability of relevance can be achieved, and that the logistic model outperforms the linear one. Retrieval quality for distributed retrieval is only slightly improved by using the logistic function.     

Understanding the Language Demands on Science Students from an Integrated Science and Language Perspective

This case study of a science lesson, on the topic thermal expansion, examines the language demands on students from an integrated science and language perspective. The data were generated during a sequence of 9 lessons on the topic of ‘States of Matter’ in a Grade 7 classroom (12–13 years old students). We identify the language demands by comparing students' writings with the scientific account of expansion that the teacher intended the students to learn. The comparison involved both content analysis and lexicogrammatical (LG) analysis. The framework of Systemic Functional Linguistics was adopted for the LG analysis. Our analysis reveals differences in the meaning and the way LG resources were employed between the students' writings and the scientific account. From these differences, we found the notion of condition-of-use for LG resources to be a significant aspect of the language that students need to appropriate in order to employ the language of school science appropriately. This notion potentially provides a means by which teachers could concurrently address the conceptual and representational demands of science learning. Finally, we reflect on how the complementary use of content analysis and LG analysis provides a way for integrating the science and language perspectives in order to understand the demands of learning science through language.     

Analog of parental empathy: Association with physical child abuse risk and punishment intentions

Objectives

Current research has been inconsistent in corroborating that parents’ compromised empathy is associated with elevated physical child abuse risk, perhaps in part because of an emphasis on dispositional empathy rather than empathy directed at their own children. Research has also relied on self-reports of empathy that are susceptible to participant misrepresentation. The present study utilized an analog task of parental empathy to investigate the association of parental empathy toward one's own child with physical child abuse potential and with their tendency to punish perceived child misbehavior.

Methods

A sample of 135 mothers and their 4–9 year old children were recruited, with mothers estimating their children's emotional reactions using a behavioral simulation of parental empathy. Mothers also provided self-reports on two measures of child abuse potential, a measure of negative attributions and expected punishment of children using vignettes, as well as a traditional measure of dispositional empathic concern and perspective-taking.

Results

Findings suggest that parental demonstration of poorer empathic ability on the analog task was significantly related to increased physical abuse potential, likelihood to punish, and negative child attributions. However, self-reported dispositional empathy exhibited the pattern of inconsistent associations previously observed in the literature.

Conclusions

Parental empathy appears to be a relevant target for prevention and intervention programs. Future research should also consider similar analog approaches to investigate such constructs to better uncover the factors that elevate abuse risk.     

Learning with immigrant children,families and communities: the imperative of early childhood teacher education

Abstract

This article reports on a longitudinal study spanning over 5 years, involving the design and implementation of an early childhood teacher education program model that engages a critical-ecological theoretical approach, a funds of knowledge perspective, and design-based methodology. This project aimed to promote equitable education for all children, and especially for young immigrant children encountering situations of oppression within the national and local educational contexts in Arizona. In this teacher education program, families, community members, researchers, pre-service teachers and teachers worked together to develop new modes of curricular activity, new spaces, new relationships, and new forms of movement among participants, as well as new circulations of literacy artefacts.     

Inspiring vanguards: the Woods Hole experience

Twice a year, the National Library of Medicine and Marine Biological Laboratory co-sponsor a fellowship in Biomedical Informatics for librarians, clinicians, and other health professionals in Woods Hole, MA. The fellowship is designed to inspire participants to become "agents of change" at their institution and to broaden their scope of knowledge for biomedical informatics. This paper discusses the field of biomedical informatics and explores the results of an informal survey from the librarians who participated in the fall session of 2005.     

Challenges in embedding numeracy throughout the curriculum in three Queensland secondary schools

The Australian Curriculum identified seven General Capabilities, including numeracy, to be embedded in all learning areas. However, it has been left to individual schools to manage this. Whilst there is a growing body of literature about pedagogies that embed numeracy in various learning areas, there are few studies from the management perspective. A social constructivist perspective and a multiple case study approach were used to explore the actions of school managers and mathematics teachers in three Queensland secondary schools, in order to investigate how they meet the Australian Curriculum requirement to embed numeracy throughout the curriculum. The study found a lack of coordinated cross-curricular approaches to numeracy in any of the schools studied. It illustrates the difficulties that arise when teachers do not share the Australian Curriculum cross-curricular vision of numeracy. Schools and curriculum authorities have not acknowledged the challenges for teachers in implementing cross-curricular numeracy, which include: limited understanding of numeracy; a lack of commitment; and inadequate skills. Successful embedding of numeracy in all learning areas requires: the commitment and support of school leaders, a review of school curriculum documents and pedagogical practices, professional development of teachers, and adequate funding to support these activities.