Libro de texto del alumno para la asignatura de Matem+ticas Orientadas a las Ense-anzas AcadZmicas de 41/4 de ESO. Estructurado en 15 temas con explicaciones te-ricas seguidas de ejemplos resueltos y multitud de ejercicios

A work by John Locke about education.

Mathematics was only one area of interest for Gerolamo Cardano ― the sixteenth-century astrologer, philosopher, and physician was also a prolific author and inveterate gambler. Gambling led Cardano to the study of probability, and he was the first writer to recognize that random events are governed by mathematical laws. Published posthumously in 1663, Cardano's Liber de ludo aleae (Book on Games of Chance) is often considered the major starting point of the study of mathematical probability. The Italian scholar formulated some of the field's basic ideas more than a century before the better-known correspondence of Pascal and Fermat. Although his book had no direct influence on other early thinkers about probability, it remains an important antecedent to later expressions of the science's tenets.

A Deleuzian reading of Whitehead and a Whiteheadian reading of Deleuze open the possibility of a critical aesthetics of contemporary culture. In Without Criteria, Steven Shaviro proposes and explores a philosophical fantasy: imagine a world in which Alfred North Whitehead takes the place of Martin Heidegger. What if Whitehead, instead of Heidegger, had set the agenda for postmodern thought? Heidegger asks, “Why is there something, rather than nothing?” Whitehead asks, “How is it that there is always something new?” In a world where everything from popular music to DNA is being sampled and recombined, argues Shaviro, Whitehead's question is the truly urgent one. Without Criteria is Shaviro's experiment in rethinking postmodern theory, especially the theory of aesthetics, from a point of view that hearkens back to Whitehead rather than Heidegger. In working through the ideas of Whitehead and Deleuze, Shaviro also appeals to Kant, arguing that certain aspects of Kant's thought pave the way for the philosophical “constructivism” embraced by both Whitehead and Deleuze. Kant, Whitehead, and Deleuze are not commonly grouped together, but the juxtaposition of them in Without Criteria helps to shed light on a variety of issues that are of concern to contemporary art and media practices.

Lesson study is a popular professional development approach in Japan whereby teachers collaborate to study content, instruction, and how students solve problems and reach for understanding in order to improve elementary mathematics instruction and learning in the classroom. This book is the first comprehensive look at the system and process of lesson study in Japan. It describes in detail the process of how teachers conducted lesson study--how they collaborated in order to develop a lesson, what they talked about during the process, and what they looked at in order to understand deeply how students were learning. Readers see the planning of a mathematics lesson, as well as how much content knowledge the teachers have. They observe students' problem solving strategies and learn how Japanese teachers prepare themselves to identify those strategies and facilitate the students' discussion. Written for mathematics teachers, educational researchers, school administrators interested in teachers' professional development, and professional developers, this landmark volume provides an in-depth understanding of lesson study that can lead to positive changes in teachers' professional development and in teaching and learning in the United States.

This book argues that modelling should be a component of all school curricula that aspire to provide ‘authentic science education for all’. The literature on modelling is reviewed and a ‘model of modelling’ is proposed. The conditions for the successful implementation of the ‘model of modelling’ in classrooms are explored and illustrated from practical experience. The roles of argumentation, visualisation, and analogical reasoning, in successful modelling-based teaching are reviewed. The contribution of such teaching to both the learning of key scientific concepts and an understanding of the nature of science are established. Approaches to the design of curricula that facilitate the progressive grasp of the knowledge and skills entailed in modelling are outlined. Recognising that the approach will both represent a substantial change from the ‘content-transmission’ approach to science teaching and be in accordance with current best-practice in science education, the design of suitable approaches to teacher education are discussed. Finally, the challenges that modelling-based education pose to science education researchers, advanced students of science education and curriculum design, teacher educators, public examiners, and textbook designers, are all outlined.