Expand-contract plasticity on the real line

The article deals with plastic and non-plastic sub-spaces $A$ of the real line ${\mathbb{R}}$ with the usual Euclidean metric $d$. It investigates non-expansive bijections, proves properties of such maps and demonstrates their relevance by hands of examples. Finally, it is shown that the plasticity property of a sub-space $A$ contains at least two complementary questions, a purely geometric and a topological one. Both contribute essential aspects to the plasticity property and get more critical in higher dimensions and more abstract metric spaces

Two new examples of Banach spaces with a plastic unit ball

We prove that Banach spaces ℓ1 ⊕2 R and X ⊕∞ Y , with strictly convex X and Y , have plastic unit balls (we call a metric space plastic if every non-expansive bijection from this space onto itself is an isometry)

Cognitive Pocket Method Application in Education of Children with ASD

A description of the author’s Cognitive Pocket Method is given, which is primarily intended for work with children with autism spectrum disorders and, generally, involves parents or tutor individual lessons with a child. The Cognitive Pocket Method allows to adjust the auditory perception, respectively — the understanding of oral speech, and teach to read as well. Also the method subsequently provides to the wards education and communication techniques. The method can be used with normotupical children and adults, it is used both at home and in the specialist’s environment, which includes application in the group of children. Alongside with the solution of the main tasks associated with auditory perception, the Cognitive Pocket Method trains attention, memory (including motor), visual skills (depth of field, eye control of hand actions), coordination, fine motor skills, touch, motor planning

About the Book «SPEECHLESS» by Rosemary Crossley

The technique of Facilitated Communication, created by the Australian teacher Rosemary Crossley, is described in her book «SPEECHLESS». Present article is devoted to this book and the issue of facilitated communication, which provides opportunities for communication to non-speaking people with severe multiple developmental disorders, including autism. Translation from English by E.G.Zavarzina-Memm