Exploiting unexpected situations in the mathematics classroom

The professional development of mathematics teachers needs to support teachers in orchestrating the mathematics classroom in ways that enable them to respond flexibly and productively to the unexpected. When a situation arises in the classroom which is not connected in an obvious way to the mathematical learning intentions of the lesson, it can be challenging for the teacher to improvise so as to craft this situation into an opportunity for doing and learning mathematics. In this study, as teacher-researcher I maintained a record of unexpected situations as they arose in my own secondary mathematics classroom. Details are given of four unexpected situations which I found ways to exploit mathematically, and these are analysed to highlight factors which may enhance a mathematics teacher’s preparedness for dealing with the unexpected. The results of this study indicate that deviating from the intended lesson to exploit an unexpected situation in which students have shown some interest can lead them into enjoyable and worthwhile mathematical engagement

Not a limitless resource: ethics and guidelines for destructive sampling of archaeofaunal remains

Publisher's version (útgefin grein)With the advent of ancient DNA, as well as other methods such as isotope analysis, destructive sampling of archaeofaunal remains has increased much faster than the effort to collect and curate them. While there has been considerable discussion regarding the ethics of destructive sampling and analysis of human remains, this dialogue has not extended to archaeofaunal material. Here we address this gap and discuss the ethical challenges surrounding destructive sampling of materials from archaeofaunal collections. We suggest ways of mitigating the negative aspects of destructive sampling and present step-by-step guidelines aimed at relevant stakeholders, including scientists, holding institutions and scientific journals. Our suggestions are in most cases easily implemented without significant increases in project costs, but with clear long-term benefits inthe preservation and use of zooarchaeologicalmaterial.his work was supported by the Icelandic Research Fund grant no. 162783-051, Finnish Academy grant no. SA286499, the European Union’s Horizon 2020 research and innovation programme under the Marie SkłodowskaCurie grant agreement no. 749226 and Estonian Research Council grant nos. PRG29 and IUT 20-7.Peer Reviewe

Ancient DNA from the skeletons of Roopkund Lake reveals Mediterranean migrants in India

Situated at over 5,000 meters above sea level in the Himalayan Mountains, Roopkund Lake is home to the scattered skeletal remains of several hundred individuals of unknown origin. We report genome-wide ancient DNA for 38 skeletons from Roopkund Lake, and find that they cluster into three distinct groups. A group of 23 individuals have ancestry that falls within the range of variation of present-day South Asians. A further 14 have ancestry typical of the eastern Mediterranean. We also identify one individual with Southeast Asian-related ancestry. Radiocarbon dating indicates that these remains were not deposited simultaneously. Instead, all of the individuals with South Asian-related ancestry date to ~800 CE (but with evidence of being deposited in more than one event), while all other individuals date to ~1800 CE. These differences are also reflected in stable isotope measurements, which reveal a distinct dietary profile for the two main groups

Innovation und Trends für Mobiles Lernen

Der Beitrag zeigt aktuelle Trends im Bereich der mobilen und ubiquitären Lerntechnologien auf, welche die klassischen Konzepte von Mobilem Lernen erweitern: a) Mobiler und allgegenwärtiger Zugang zu Lerninhalten b) unterbrechungsfreie Lernunterstützung oder "Seamless Learning Support", die nahtlose Integration von Lernunterstützung in gemischten Lernszenarien, c) Smartphones und Sensoren im Mobilen Lernen, d) Mobile Gaming und mobile Augmented Reality und e) situierte eingebettete Displays. Anhand dieser Trends werden die Konsequenzen für das didaktische Design und darunter liegende Lernkonzepte diskutiert

Reconstructing the Deep Population History of Central and South America

We report genome-wide ancient DNA from 49 individuals forming four parallel time transects in Belize, Brazil, the Central Andes, and the Southern Cone, each dating to at least 9,000 years ago. The common ancestral population radiated rapidly from just one of the two early branches that contributed to Native Americans today. We document two previously unappreciated streams of gene flow between North and South America. One affected the Central Andes by 4,200 years ago, while the other explains an affinity between the oldest North American genome associated with the Clovis culture and the oldest Central and South Americans from Chile, Brazil, and Belize. However, this was not the primary source for later South Americans, as the other ancient individuals derive from lineages without specific affinity to the Clovis-associated genome, suggesting a population replacement that began at least 9,000 years ago and was followed by substantial population continuity in multiple regions

Perspectives from a Predominantly African American Community about Biobank Research and a Biobank Consent Form

Minority populations have been underrepresented in clinical trials, as well as in research biobanks that are created to conduct research with participants’ biospecimens and related medical and research data. Biobank research raises issues about informed consent and privacy and the confidentiality of participants’ personal data. Our study involved three focus groups of 10 adults each that were conducted in a medically underserved, predominantly African American community to elucidate questions and concerns regarding an institutional biobank. Transcripts from the discussion were qualitatively analyzed. Three main themes that arose from the focus groups included the importance of trust, the importance of the community in research, and suggestions to improve trust. The concerns identified in this study provide a starting point for future research to help research institutions become more trustworthy to the communities they serve.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/173054/1/eahr500134-sup-0001-S1.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/173054/2/eahr500134.pd