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The body matters, in practice. How then might we think about the body in our work in and on professional practice, learning and education? What value is there in realising and articulating the notion of the professional practitioner as crucially embodied? Beyond that, what of conceiving of the professional practice field itself as a living corporate body? How is the body implicated in understanding and researching professional practice, learning and education? Body/Practice is an extensive volume dedicated to exploring these and related questions, philosophically and empirically. It constitutes a rare but much needed reframing of scholarship relating to professional practice and its relation with professional learning and professional education more generally. It takes bodies seriously, developing theoretical frameworks, offering detailed analyses from empirical studies, and opening up questions of representation. The book is organized into four parts: I. ‘Introducing the Body in Professional Practice, Learning and Education’; II. ‘Thinking with the Body in Professional Practice’; III. ‘The Body in Question in Health Professional Education and Practice’; IV. ‘Concluding Reflections’. It brings together researchers from a range of disciplinary and professional practice fields, including particular reference to Health and Education. Across fifteen chapters, the authors explore a broad range of issues and challenges with regard to corporeality, practice theory and philosophy, and professional education, providing an innovative, coherent and richly informed account of what it means to bring the body back in, with regard to professional education and beyond.

Recent work on many problems in additive combinatorics, such as Roth's Theorem, has shown the usefullness of first studying the problem in a finite field environment. Then using the techniques of Bourgain to give a result in other settings such as general abelian groups. The author gives a walk through, including proof, of Roth's theorem in both the one dimensional and two dimensional cases (it would be more accurate to refer to the two dimensional case as Shkredov's Theorem). In the one dimensional case the argument is at its base Meshulam's but the structure will be essentially Green's. Let $F_p^n, p eq 2$ be the finite field of cardinality $N=p^n$. For large N, any subset $A subset F_p^n$ of cardinality$$|A|gtrsim frac{N}{log N}$$ must contain a triple of the form ${x, x+d, x+2d}$ for $x, d in F_p^n, d eq 0$. In the two dimensional case the argument is Lacey and McClain who made considerable refinements to this argument of Green who was bringing the argument to the finite field case from a paper of Shkredov. Let $mathbb F _2^n$ be the finite field of cardinality $N=2 ^{n}$. For all large $N$, any subset $Asubset mathbb F _2^n imes mathbb F _2 ^n$ of cardinality egin{equation*} abs{ A} gtrsim N^2 (log n) ^{-epsilon }, qquad epsilon <,1, end{equation*} must contain a corner $ {(x, y), (x+d, y), (x, y+d)}$ for $x, y, din mathbb F_2^n$ and $d eq 0$.