1.6 Do, talk and record triad The do–talk–record triad (DTR) is a description of what is likely to take place in collaborative mathematics classrooms. It is concerned with observable events, and with the learner rather than the teacher, though many teaching insights flow from it. Although the order of the triad suggests that it should be followed in a particular sequence, this is not necessarily the case. Sometimes talking comes before doing or recording before talking. It also takes time for a learner to move
1.5 Studying the Möbius band Take a long thin strip of paper (preferably squared or graph paper) about 30 cm by 3 cm. Give one end a half twist and then tape it together. This is a Möbius band as shown in Author(s): 1.2.2 Content School mathematics curricula often focus on lists of content objectives in areas like number, arithmetic, statistics, measurement, geometry, trigonometry, and algebra. A typical list of content objectives might contain over one hundred objectives to be introduced or revisited and learned each year. These can be seen as hierarchical in nature but many textbooks do not attempt to organise the objectives in ways that enable the bigger underpinning ideas to become apparent to the pupils. In addit 1.2.1 To know or to do? The so-called ‘content/process’ debate in mathematics involves discussion of the relative importance of content and process in mathematics. It originated as part of a discussion about the nature of mathematics, particularly of school mathematics, and of the purposes for which mathematics is learned. Identifying content and process in mathematics draws attention to the idea that mathematics is a human activity. As a teacher of mathematics in the UK, you are faced with a national curr Learning outcomes After studying this course, you should be able to: understand some current issues in mathematics education, such as the relationship of mathematics content to mathematics processes understand a variety of approaches to the teaching of mathematics such as 'do-talk-record' approach mathematical problems and tasks in a flexible way. Reducing your ecological footprint Culture and Climate Change Future energy demand and supply 2.8 End of course question The writer and campaigner George Monbiot wrote the following (in The Guardian Weekly, 10 February 2000): 'Every time someone in the West switches on a kettle, he or she is helpting to flood Banglades 1.3.1 The vertical 'structure' of the atmosphere The atmosphere is not a simple, uniform slab of absorbing material. On the contrary, it gets progressively 'thinner' or less dense with increasing altitude (height above mean sea level); i.e. the total number of molecules in a given volume of air is lower, and so is the pressure. About 80% of the total mass of the atmosphere is within some 10 km of the surface; 99.9% lies below 50 km. The important corollary is that the key greenhouse gas molecules (H2O and CO2 1.3 Energy flows within the Earth-atmosphere system Before we focus on the enhanced greenhouse effect, we need to refine the schematic representation in Figure 7 and draw in some of the other processes that influence the Earth's temperature - not only at the surface, but also at different levels within the atmosphere. 1.2.2 Bringing in the atmosphere: the natural greenhouse effect As a dam built across a river causes a local deepening of the stream, so our atmosphere, thrown as a barrier across the terrestrial rays, produces a local heightening of the temperature at the Earth's surface. (Tyndall, 1862, quoted in Weart, 2004) Thus, writing in 1862, John Tyndall (Figure 6) described the key to our modern understanding of why the Earth's surface is so much warmer than t 1.3.4 Bringing remote sweatshops within reach continued Another claim made by the movement is that we are all in some way connected to a market system which effectively allows sweatshops to exist in the first place. This is about more than targeting the big brand names and linking them directly to exploitation abroad; rather, it is about piecing together the global market machinery that ties the corporate buyer, the boardroom executive, the factory owner and the consumer into a system which establishes particular lines of responsibility (Ha References 2.4 Summarising conversation as what matters Brian Wynne suggests that fundamental dichotomies associated with environmental matters underpin modern society – society versus nature, the social versus the natural, social knowledge versus natural knowledge, expert knowledge versus lay knowledge (1996, p. 45). The metaphor of conversation helps to move us beyond these dichotomous constructs and allows us to focus more on the integral relationships enmeshed in nature matters, relationships that I would argue are central to environmental r 7.1 Climate models To understand climate change it is necessary to construct climate models, to explore and predict interactions between different factors. Models are tested for accuracy against known sets of data, before being run forward to predict future changes. 5.3.4 Plan testing and validation It is one thing to have a plan; it is another thing to have a plan that you can rely on to work. There is an old military maxim that ‘A plan only gets you into first contact with the enemy. After that, you fly by the seat of your pants’ (Anon). A 1993 IBM report on business continuity planning confirmed this when it revealed that ‘half of the plans failed completely or substantially when they were first tested’ (IBM, 1993, p. 5). The IBM report identified three categories of pla References 4.6 Plants as medicines Plants are already a major source of medicines. In 1990, sales in the USA of prescriptions where material of plant origin was the active ingredient totalled US$141500 million. For many centuries, people around the world have relied on herbal remedies of various kinds in the prevention and cure of ailments and diseases. There are over 211000 medicinal plants named by the World Health Organisation. Although there is some duplication where plants are known by different names in different places, 7 Conclusion One might think of the different interpretations of internationally recognised notions of rights and justice as running along a spectrum, from which we shall now identify four different positions. The first interpretation would argue that, overall, the extension of rights to the international sphere has been benign and effective. It has led and will lead to further successful claims for justice. Evidence for the development of a globa
Task 10 The Möbius band
Concerned about your impact on the environment? Interested in learning how to shape a more sustainable future? This album shows you simple ways to adapt your lifestyle and how to think globally. Five video tracks demonstrate how to assess the ‘ecological footprint’ of your household, examine the effects of personal transport on the environment, and explore how your decisions as food consumers are part of a supply chain stretching across Europe and the rest of the world. They feature an energ
Every generation faces challenges that previous generations could scarcely imagine. Twenty years ago, few people were talking about climate change, now it's one of the most hotly-contested areas in politics.
How do artists, writers, musicians and broadcasters respond when a new subject appears that is as large and significant as this? What kind of novels, plays, paintings, sculptures, movies and music begin to emerge?Author(s):
When you consider that the global annual consumption of primary energy increased more than ten-fold during the 20th Century, the importance of planning future energy supply becomes clear. Future energy demand and supply is a free course that offers an introduction to how this is being undertaken.
First published on Tue, 04 Dec 2018 as
Question 12
