62 research outputs found
Mathematics in different settings: plenary panel.
When we think about the title “Mathematics in different settings”, a number of questions arise. For example:
• How many mathematics are there – one or many? Is there a mathematics that is “prior to”, or independent of, any setting?
• What (who) is it that makes settings “different”? And how does this relate to social differences among people?
• What is an appropriate typology of different settings – for research or for curriculum design purposes? Relatedly, we might ask: who decides what is “important”?
• What is the nature of relations among policy arrangements, research and educational institutional settings?
• How are different settings represented in mathematics teaching and assessment?
• What is the relationship of mathematics education researchers to any setting
Teachers and didacticians: key stakeholders in the processes of developing mathematics teaching
This paper sets the scene for a special issue of ZDM-The International Journal on Mathematics Education-by tracing key elements of the fields of teacher and didactician/teacher-educator learning related to the development of opportunities for learners of mathematics in classrooms. It starts from the perspective that joint activity of these two groups (teachers and didacticians), in creation of classroom mathematics, leads to learning for both. We trace development through key areas of research, looking at forms of knowledge of teachers and didacticians in mathematics; ways in which teachers or didacticians in mathematics develop their professional knowledge and skill; and the use of theoretical perspectives relating to studying these areas of development. Reflective practice emerges as a principal goal for effective development and is linked to teachers' and didacticians' engagement with inquiry and research. While neither reflection nor inquiry are developmental panaceas, we see collaborative critical inquiry between teachers and didacticians emerging as a significant force for teaching development. We include a summary of the papers of the special issue which offer a state of the art perspective on developmental practice. © 2014 FIZ Karlsruhe
O lugar das matemáticas na Licenciatura em Matemática: que matemáticas e que práticas formativas?
Mathematics teaching development as a human practice: identifying and drawing the threads
This article was published in the journal, ZDM Mathematics Education [© FIZ Karlsruhe] and the definitive version is available at: http://dx.doi.org/10.1007/s11858-012-0437-7The didactic triangle links mathematics,
teachers and students in a consideration of teaching–
learning interactions in mathematics classrooms. This
paper focuses on teachers and teaching in the development
of fruitful learning experiences for students with mathematics.
It recognises primarily that teachers are humans
with personal characteristics, subject to a range of influences
through the communities of which they are a part,
and considers aspects of teachers’ personhood, identity and
agency in designing teaching for the benefit of their students.
Teaching is seen as a developmental process in
which inquiry plays a central role, both in doing mathematics
in the classroom and in exploring teaching practice.
The teacher-as-inquirer in collaboration with outsider
researchers leads to growth of knowledge in teaching
through development of identity and agency for both
groups. The inclusion of the outsider researcher brings an
additional node into the didactic triangle
The sleep EEG spectrum is a sexually dimorphic marker of general intelligence
The shape of the EEG spectrum in sleep relies on genetic and anatomical factors and forms an individual “EEG fingerprint”. Spectral components of EEG were shown to be connected to mental ability both in sleep and wakefulness. EEG sleep spindle correlates of intelligence, however, exhibit a sexual dimorphism, with a more pronounced association to intelligence in females than males. In a sample of 151 healthy individuals, we investigated how intelligence is related to spectral components of full-night sleep EEG, while controlling for the effects of age. A positive linear association between intelligence and REM anterior beta power was found in females but not males. Transient, spindle-like “REM beta tufts” are described in the EEG of healthy subjects, which may reflect the functioning of a recently described cingular-prefrontal emotion and motor regulation network. REM sleep frontal high delta power was a negative correlate of intelligence. NREM alpha and sigma spectral power correlations with intelligence did not unequivocally remain significant after multiple comparisons correction, but exhibited a similar sexual dimorphism. These results suggest that the neural oscillatory correlates of intelligence in sleep are sexually dimorphic, and they are not restricted to either sleep spindles or NREM sleep
Mathematics teacher change in a collaborative environment: to what extent and how
This article reports on a study into how collaborative contexts influence the professional development of an early-career primary teacher, Julia. We describe the process of change by which Julia manages to make her planning to teach mathematics more flexible so as to adapt to student difficulties, and we analyse the role that joint reflection plays in promoting this change. In order to understand the how of this influence, we carried out an analysis of the interactions within the group from Julia’s point of view, following a dialogical approach to discourse. We believe that it is in and through the interactions that Julia constructs her interpretation of the opinions, critiques and suggestions expressed. This interpretation conditions the extent of her involvement and moulds the influence of the context on her professional development. The presence of skilled collaborators (Day, 1993) proved decisive in promoting this development
Critical Theorising from Studies of Undergraduate Mathematics Teaching for Students’ Meaning Making in Mathematics
Response to Part II: Emerging issues from lesson study approaches in prospective mathematics teacher education
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