The potential and challenges for mathematics teaching and learning in the digital age

The underlying theme of my Presidential address was to outline the evidence of the importance of mathematics and some of the challenges that need to be faced if we are to increase participation in the subject. The first, overarching and enduring challenge is the invisibility of the subject. Most people just do not understand what the subject is about and why they are studying it for so many hours over so many years. I will point to some dangers if we do not rise to the challenge. The second challenge is to acknowledge, and then to address the complexities of teaching and learning mathematics: it is not a matter of mere exposition of procedures. It is perhaps appropriate for my IMA Presidential address to quote from a message from HRH The Duke of Edinburgh, President of the IMA in 1976-77, who acknowledged in the proceedings of the Second International Congress on Mathematical Education (ICME2) held in Exeter, 1974, that mathematics was ‘vitally important for everyone in this technological age, and then went on to argue that ‘any advance in the techniques of teaching is to be welcomed’ since: “those fortunate beings who find mathematics a joy and a fascination will probably get on, whatever the standard of teaching. It requires real genius to light a flicker of understanding in the minds of those to whom mathematics is a clouded mystery.” (ICME2 proceedings, 1974, emphasis added). This remark seems even more relevant now over 40 years later, not only concerning the importance of mathematics, but also the explicit recognition of the challenge of teaching for engagement. My claim is that using computers in carefully designed ways can help us address these challenges

Коллективизация и азербайджанское село

This chapter argues that there are contrary views regarding the mathematical needs of employees in workplaces, and this results in confusion around debate on the issue. The problem has been exacerbated by the ubiquity of information technologies and the widespread automation of routine procedures, which have resulted in little if any trace of the mathematical processes going on. Following a short survey of research in the field, we summarize recent research that has identified a particular difficulty in terms of widespread pseudo-mathematical interpretation of symbolic output in workplaces. Such interpretations are shown to impede communication, but can be challenged by developing relevant techno-mathematical literacies among employees. Effective strategies for developing techno-mathematical literacies relevant to specific work sectors are described

Research On and Activities For Mathematically Gifted Students

This Topical Survey offers a brief overview of the current state of research on and activities for mathematically gifted students around the world. This is of interest to a broad readership, including educational researchers, research mathematicians, mathematics teachers, teacher educators, curriculum designers, doctoral students, and other stakeholders. It first discusses research concerning the nature of mathematical giftedness, including theoretical frameworks and methodologies that are helpful in identifying and/or creating mathematically gifted students, which is described in this section. It also focuses on research on and the development of mathematical talent and innovation in students, including connections between cognitive, social and affective aspects of mathematically gifted students. Exemplary teaching and learning practices, curricula and a variety of programs that contribute to the development of mathematical talent, gifts, and passion are described as well as the pedagogy and mathematics content suitable for educating pre-service and in-service teachers of mathematically gifted students. The final section provides a brief summary of the paper along with suggestions for the research, activities, and resources that should be available to support mathematically gifted students and their teachers, parents, and other stakeholders

Outcome of hospitalization for COVID-19 in patients with interstitial lung disease. An international multicenter study

Rationale: The impact of coronavirus disease (COVID-19) on patients with interstitial lung disease (ILD) has not been established. Objectives: To assess outcomes in patients with ILD hospitalized for COVID-19 versus those without ILD in a contemporaneous age-, sex-, and comorbidity-matched population. Methods: An international multicenter audit of patients with a prior diagnosis of ILD admitted to the hospital with COVID-19 between March 1 and May 1, 2020, was undertaken and compared with patients without ILD, obtained from the ISARIC4C (International Severe Acute Respiratory and Emerging Infection Consortium Coronavirus Clinical Characterisation Consortium) cohort, admitted with COVID-19 over the same period. The primary outcome was survival. Secondary analysis distinguished idiopathic pulmonary fibrosis from non–idiopathic pulmonary fibrosis ILD and used lung function to determine the greatest risks of death. Measurements and Main Results: Data from 349 patients with ILD across Europe were included, of whom 161 were admitted to the hospital with laboratory or clinical evidence of COVID-19 and eligible for propensity score matching. Overall mortality was 49% (79/161) in patients with ILD with COVID-19. After matching, patients with ILD with COVID-19 had significantly poorer survival (hazard ratio [HR], 1.60; confidence interval, 1.17–2.18; P = 0.003) than age-, sex-, and comorbidity-matched controls without ILD. Patients with an FVC of <80% had an increased risk of death versus patients with FVC ≥80% (HR, 1.72; 1.05–2.83). Furthermore, obese patients with ILD had an elevated risk of death (HR, 2.27; 1.39−3.71). Conclusions: Patients with ILD are at increased risk of death from COVID-19, particularly those with poor lung function and obesity. Stringent precautions should be taken to avoid COVID-19 in patients with ILD

From curriculum design to enactment in technology enhanced mathematics instruction—Mind the gap!

A 3-year study of 209 mathematics teachers in England implementing Cornerstone Maths curriculum units for lower secondary mathematics that embed dynamic technology provides a rich data set on teachers’ curriculum enactments. Focusing on the curriculum unit on linear functions, we report gaps between teachers’ planned and actual curriculum enactments, which are to be expected. By focusing on the ‘at scale’ and individual teacher outcomes, the research reveals new insights into the complexities of technology integration in mathematics instruction. For example, the case of Amy serves to highlight how a teacher’s intended enactment is challenging in reality, whilst providing worthwhile classroom experience that supported the emergence of professional knowledge for teaching mathematics with technology

Pivotal role of connective tissue growth factor in lung fibrosis: MAPK-dependent transcriptional activation of type I collagen.

OBJECTIVE: Connective tissue growth factor (CTGF; CCN2) is overexpressed in systemic sclerosis (SSc) and has been hypothesized to be a key mediator of the pulmonary fibrosis frequently observed in this disease. CTGF is induced by transforming growth factor beta (TGFbeta) and is a mediator of some profibrotic effects of TGFbeta in vitro. This study was undertaken to investigate the role of CTGF in enhanced expression of type I collagen in bleomycin-induced lung fibrosis, and to delineate the mechanisms of action underlying the effects of CTGF on Col1a2 (collagen gene type I alpha2) in this mouse model and in human pulmonary fibroblasts. METHODS: Transgenic mice that were carrying luciferase and beta-galactosidase reporter genes driven by the Col1a2 enhancer/promoter and the CTGF promoter, respectively, were injected with bleomycin to induce lung fibrosis (or saline as control), and the extracted pulmonary fibroblasts were incubated with CTGF blocking agents. In vitro, transient transfection, promoter/reporter constructs, and electrophoretic mobility shift assays were used to determine the mechanisms of action of CTGF in pulmonary fibroblasts. RESULTS: In the mouse lung tissue, CTGF expression and promoter activity peaked 1 week after bleomycin challenge, whereas type I collagen expression and Col1a2 promoter activity peaked 2 weeks postchallenge. Fibroblasts isolated from the mouse lungs 14 days after bleomycin treatment retained a profibrotic expression pattern, characterized by greatly elevated levels of type I collagen and CTGF protein and increased promoter activity. In vitro, inhibition of CTGF by specific small interfering RNA and neutralizing antibodies reduced the collagen protein expression and Col1a2 promoter activity. Moreover, in vivo, anti-CTGF antibodies applied after bleomycin challenge significantly reduced the Col1a2 promoter activity by approximately 25%. The enhanced Col1a2 promoter activity in fibroblasts from bleomycin-treated lungs was partly dependent on Smad signaling, whereas CTGF acted on the Col1a2 promoter by a mechanism that was independent of the Smad binding site, but was, instead, dependent on the ERK-1/2 and JNK MAPK pathways. The CTGF effect was mapped to the proximal promoter region surrounding the inverted CCAAT box, possibly involving CREB and c-Jun. In human lung fibroblasts, the human COL1A2 promoter responded in a similar manner, and the mechanisms of action also involved ERK-1/2 and JNK signaling. CONCLUSION: Our results clearly define a direct profibrotic effect of CTGF and demonstrate its contribution to lung fibrosis through transcriptional activation of Col1a2. Blocking strategies revealed the signaling mechanisms involved. These findings show CTGF to be a rational target for therapy in fibrotic diseases such as SSc

Identifying causation in hypersensitivity pneumonitis: a British perspective

Background Establishing whether patients are exposed to a ‘known cause’ is a key element in both the diagnostic assessment and the subsequent management of hypersensitivity pneumonitis (HP). Objective This study surveyed British interstitial lung disease (ILD) specialists to document current practice and opinion in relation to establishing causation in HP. Methods British ILD consultants (pulmonologists) were invited by email to take part in a structured questionnaire survey, to provide estimates of demographic data relating to their service and to rate their level of agreement with a series of statements. A priori ‘consensus agreement’ was defined as at least 70% of participants replying that they ‘Strongly agree’ or ‘Tend to agree’. Results 54 consultants took part in the survey from 27 ILD multidisciplinary teams. Participants estimated that 20% of the patients in their ILD service have HP, and of these, a cause is identifiable in 32% of cases. For patients with confirmed HP, an estimated 40% have had a bronchoalveolar lavage for differential cell counts, and 10% a surgical biopsy. Consensus agreement was reached for 25 of 33 statements relating to causation and either the assessment of unexplained ILD or management of confirmed HP. Conclusions This survey has demonstrated that although there is a degree of variation in the diagnostic approach for patients with suspected HP in Britain, there is consensus opinion for some key areas of practice. There are several factors in clinical practice that currently act as potential barriers to identifying the cause for British HP patients

Major lung complications of systemic sclerosis

Systemic sclerosis (SSc) is associated with high mortality owing to internal organ complications, and lung disease is the leading cause of SSc-associated death. The most notable lung complications in SSc are fibrosis and pulmonary arterial hypertension (PAH). A major challenge for the management of lung disease in SSc is detecting those patients with severe pathology and those patients who are likely to benefit from available treatments. In the past few years, strategies for managing lung fibrosis and pulmonary hypertension, including PAH, have greatly progressed. For lung fibrosis, the tools to assess risk of progression and severity of the disease have been refined. Clinical trial results support the use of immunosuppression, including high-intensity regimens with autologous stem cell transplantation. New trials are underway to test other potential therapies including treatments that are approved for use in idiopathic lung fibrosis. For PAH, identifying individuals at high risk of disease development is critical. In addition, individuals who have borderline elevation of pulmonary arterial pressure need to be appropriately managed and followed up. Many approved drugs targeting PAH are now available, and results from large-scale clinical trials provide robust evidence that various treatments for SSc-associated PAH are associated with good long-term outcomes