Testimonio y modelo de una memoria de prácticas docentes en un centro de educación secundaria para la especialidad de Matemáticas.

El present volum recull una selecció de conferències de ponents convidats a les trobades sobre semiimmersió i al congrés internacional TRI-CLIL, sobre aprenentatge integrat de continguts i llengua (AICLE), organitzades pels equips CLIL-SI/GREIP a la Universitat Autònoma de Barcelona, des de l’any 2007 al 2011. Aquestes trobades han girat al voltant de l’ensenyament i l’aprenentatge de matèries curriculars en ‘d’altres llengües’, és a dir, en llengües no presents en l’entorn més immediat de l’alumnat. El volum s’estructura en tres parts. La primera conté quatre capítols en què es tracten temàtiques que constitueixen el rerefons de les propostes de l’AICLE. La segona part conté contribucions que analitzen els processos de construcció del discurs en L2 i de la interacció a classe. La tercera part presenta tres estudis de cas referits a la formació del professorat AICLE. Les col·laboradores i els col·laboradors d’aquest volum són autors de referència amb una àmplia trajectòria en la recerca sobre multilingüisme i educació plurilingüe.

This three-stage new edition of this Spanish course for beginners leads to public examinations. Experienced practitioners and users of !Vaya! have been consulted and their suggestions have been incorporated into this new edition. It has been written to meet the requirements of the National Curriculum and the 5-14 Guidelines. Stages 1, 2 and 3 of !Vaya! Nuevo should prepare students for GCSE/Key Stage 4 examinations and Standard Grade.

Every mathematician (beginner, amateur, and professional alike) thrills to find simple, elegant solutions to seemingly difficult problems. Such happy resolutions are called 'aha! solutions,' a phrase popularized by mathematics and science writer Martin Gardner. Aha! solutions are surprising, stunning, and scintillating: they reveal the beauty of mathematics. This collection includes one hundred problems in the areas of arithmetic, geometry, algebra, calculus, probability, number theory, and combinatorics. The problems start out easy and generally get more difficult as you progress through the book. A few solutions require the use of a computer. An important feature of the book is the discussion of related mathematics that follows the solution of each problem. This material is there to entertain and inform you or point you to new questions.

Henry O. Pollak Chairman of the International Program Committee Bell Laboratories Murray Hill, New Jersey, USA The Fourth International Congress on Mathematics Education was held in Berkeley, California, USA, August 10-16, 1980. Previous Congresses were held in Lyons in 1969, Exeter in 1972, and Karlsruhe in 1976. Attendance at Berkeley was about 1800 full and 500 associate members from about 90 countries; at least half of these come from outside of North America. About 450 persons participated in the program either as speakers or as presiders; approximately 40 percent of these came from the U.S. or Canada. There were four plenary addresses; they were delivered by Hans Freudenthal on major problems of mathematics education, Hermina Sinclair on the relationship between the learning of language and of mathematics, Seymour Papert on the computer as carrier of mathematical culture, and Hua Loo-Keng on popularising and applying mathematical methods. Gearge Polya was the honorary president of the Congress; illness prevented his planned attendence but he sent a brief presentation entitled, "Mathematics Improves the Mind". There was a full program of speakers, panelists, debates, miniconferences, and meetings of working and study groups. In addition, 18 major projects from around the world were invited to make presentations, and various groups representing special areas of concern had the opportunity to meet and to plan their future activities.