The joint influence of personal achievement goals and classroom goal structures on achievement-relevant outcomes

The authors provide an analytic framework for studying the joint influence of personal achievement goals and classroom goal structures on achievement-relevant outcomes. This framework encompasses 3 models (the direct effect model, indirect effect model, and interaction effect model), each of which addresses a different aspect of the joint influence of the 2 goal levels. These 3 models were examined together with a sample of 1,578 Japanese junior high and high school students from 47 classrooms. Results provided support for each of the 3 models: Classroom goal structures were not only direct, but also indirect predictors of intrinsic motivation and academic self-concept, and some cross-level interactions between personal achievement goals and classroom goal structures were observed (indicating both goal match and goal mismatch effects). A call is made for more research that takes into consideration achievement goals at both personal and structural levels of representation. (PsycINFO Database Record (c) 2012 APA, all rights reserved)(journal abstract)

‘Did Ronald McDonald also tend to scare you as a child?’: working to emplace consumption, commodities, and citizen-students in a large classroom setting

So-called ‘radical’ and ‘critical’ pedagogy seems to be everywhere these days on the landscapes of geographical teaching praxis and theory. Part of the remit of radical/critical pedagogy involves a de-centring of the traditional ‘banking’ method of pedagogical praxis. Yet, how do we challenge this ‘banking’ model of knowledge transmission in both a large-class setting and around the topic of commodity geographies where the banking model of information transfer still holds sway? This paper presents a theoretically and pedagogically driven argument, as well as a series of practical teaching ‘techniques’ and tools—mind-mapping and group work—designed to promote ‘deep learning’ and a progressive political potential in a first-year large-scale geography course centred around lectures on the Geographies of Consumption and Material Culture. Here students are not only asked to place themselves within and without the academic materials and other media but are urged to make intimate connections between themselves and their own consumptive acts and the commodity networks in which they are enmeshed. Thus, perhaps pedagogy needs to be emplaced firmly within the realms of research practice rather than as simply the transference of research findings.

Inclusive approaches to teaching and learning mathematics

This chapter explores the role of mentors in supporting pre-service teachers to include all children in mathematics teaching, no matter what their individual needs.

Transreal limits expose category errors in IEEE 754 floating-point arithmetic and in mathematics

The IEEE 754 standard for oating-point arithmetic is widely used in computing. It is based on real arithmetic and is made total by adding both a positive and a negative infinity, a negative zero, and many Not-a-Number (NaN) states. The IEEE infinities are said to have the behaviour of limits. Transreal arithmetic is total. It also has a positive and a negative infinity but no negative zero, and it has a single, unordered number, nullity. We elucidate the transreal tangent and extend real limits to transreal limits. Arguing from this firm foundation, we maintain that there are three category errors in the IEEE 754 standard. Firstly the claim that IEEE infinities are limits of real arithmetic confuses limiting processes with arithmetic. Secondly a defence of IEEE negative zero confuses the limit of a function with the value of a function. Thirdly the definition of IEEE NaNs confuses undefined with unordered. Furthermore we prove that the tangent function, with the infinities given by geometrical con- struction, has a period of an entire rotation, not half a rotation as is commonly understood. This illustrates a category error, confusing the limit with the value of a function, in an important area of applied mathe- matics { trigonometry. We brie y consider the wider implications of this category error. Another paper proposes transreal arithmetic as a basis for floating- point arithmetic; here we take the profound step of proposing transreal arithmetic as a replacement for real arithmetic to remove the possibility of certain category errors in mathematics. Thus we propose both theo- retical and practical advantages of transmathematics. In particular we argue that implementing transreal analysis in trans- floating-point arith- metic would extend the coverage, accuracy and reliability of almost all computer programs that exploit real analysis { essentially all programs in science and engineering and many in finance, medicine and other socially beneficial applications.

Meta-morphs: – being a mediator of the ‘thin’ place and ‘thin’ experience in the HE classroom. A paper on the experience of creating transformations in HE teaching and learning

The research which underpins this paper began as a doctoral project exploring archaic beliefs concerning Otherworlds and Thin Places in two particular landscapes - the West Coast of Wales and the West Coast of Ireland. A Thin Place is an ancient Celtic Christian term used to describe a marginal, liminal realm, beyond everyday human experience and perception, where mortals could pass into the Otherworld more readily, or make contact with those in the Otherworld more willingly. To encounter a Thin Place in ancient folklore was significant because it engendered a state of alertness, an awakening to what the theologian John O’ Donohue (2004: 49) called “the primal affection.” These complex notions and terms will be further explored in this paper in relation to Education. Thin Teaching is a pedagogical approach which offers students the space to ruminate on the possibility that their existence can be more and can mean more than the categories they believed they belonged to or felt they should inhabit. Central to the argument then, is that certain places and their inhabitants can become revitalised by sensitively considered teaching methodologies. This raises interesting questions about the role spirituality plays in teaching practice as a tool for healing in the twenty first century.

Bizzy Break! The effect of a classroom-based activity break on in-school physical activity levels of primary school children

The school has been identified as a key setting to promote physical activity. The purpose of this study was to evaluate the effect of a classroom-based activity break on in-school step counts of primary school children. Data for 90 children (49 boys, 41 girls, 9.3 ± 1.4 years) from three Irish primary schools is presented. In each school one class was randomly assigned as the intervention group and another as controls. Children's step counts were measured for five consecutive days during school hours at baseline and follow-up. Teachers of the intervention classes led a 10 min activity break in the classroom each day (Bizzy Break!). Mean daily in-school steps for the intervention at baseline and follow-up were 5351 and 5054. Corresponding values for the control group were 5469 and 4246. There was a significant difference in the change in daily steps from baseline to follow-up between groups (p < .05). There was no evidence that girls and boys responded differently to the intervention (p > .05). Children participating in a daily 10 min classroom-based activity break undertake more physical activity during school hours than controls.

Teaching and learning Chinese: heritage language classroom discourse in Montreal

This paper explores issues of teaching and learning Chinese as a heritage language in a Chinese heritage language school, the Zhonguo Saturday School, in Montreal, Quebec. With a student population of more than 1000, this school is the largest of the eight Chinese Heritage Language schools in Montreal. Students participating in this study were from seven different classes (grade K, two, three, four, five, six, and special class), their ages ranging from 4 to 13 years. The study took place over a period of two years between 2000 and 2002. Focusing on primary level classroom discourse and drawing on the works of Vygotsky and Bakhtin, I examine how teachers and students use language to communicate, and how their communication mediates teaching, learning and heritage language acquisition. Data sources include classroom observations, interviews with students and their teachers, students’ writings, and video and audio taping of classroom activities. Implications for heritage language development and maintenance are discussed with reference to the findings of this study.

Making the tacit explicit: children's strategies for classroom writing

A key highlight of this study is generating evidence of children ‘making aware the unaware’, making tacit knowledge explicit. The research explores the levels of awareness in thinking used by eight 7–8 year-old children when engaged in school-based genre writing tasks. The focus is on analysing children’s awareness of their thought processes, using a framework originally devised by Swartz and Perkins (1989), in order to investigate ways in which children can transform their tacit knowledge to explicit within the writing process. Classroom ‘think aloud’ protocols are used to help children ‘manage their knowledge transfer’, to speak the unspoken. In their framework Swartz and Perkins distinguish between four levels of thought that they view as hierarchical and ‘increasingly metacognitive.’ However, there is little evidence in this study to show that levels of awareness in thinking are increasingly progressive and observations made during the study suggest that young writers move in and out of the suggested levels of thinking during different elements of a writing task. The reasons for this may depend on a number of factors which are noted in this paper. Evidence does suggest children in this age group are consciously aware of their own and others’ thought processes both with and without adult prompting. By using collaborative talk, their awareness of these thought processes is highlighted enabling the co-construction and integration of new ideas into their existing knowledge base.