Mark Humphries Bücher

Mathematics for the International Student Mathematics SL (Third Edition)

The story of a neural impulse reveals the intricate workings of our brains. When we see the last cookie and think about taking it, a neural impulse travels through our brain in just 2.1 seconds. During this time, billions of neurons communicate, sending "spikes" of voltage through sensory and motor regions. These spikes enable all our actions—talking, eating, running, seeing, planning, and deciding. Mark Humphries explores the journey of a spike through a brief reaction, detailing what occurs in our brain and what we understand about spikes, as well as the mysteries that remain. Drawing on decades of neuroscience research, Humphries investigates how spikes are generated, transmitted, and how they spur action. He addresses intriguing questions: Why are most neurons silent? What triggers spontaneous spikes without external input? Why do many spikes fail to reach their intended targets? Humphries presents a new perspective on the brain, suggesting that spontaneous spikes perform essential computations that help us predict outcomes, enabling quick perceptions, decisions, and reactions vital for survival. By following a single electrical response, he sheds light on the extraordinary capabilities of our brains.

MYP 5 (Standard) has been designed and written for the IB Middle Years Programme (MYP) Mathematics framework. The textbook covers the Standard content outlined in the framework and includes some extension topics.This book may also be used as a general textbook at about 10th Grade (or Year 10) level in classes where students are preparing for the study of mathematics at a standard level in their final two years of high school.The textbook and interactive software provide an engaging and structured package, allowing students to explore and develop their confidence in mathematics.The book contains a variety of exercises, ranging from basic to advanced, to cater for a range of student abilities and interests. The material is presented in a clear, easy-to-follow format, free from unnecessary distractions, while every effort has been made to contextualise questions so that students can relate concepts to everyday use.Each chapter begins with an Opening Problem, offering an insight into the application of the mathematics that will be studied in the chapter. Important information and key notes are highlighted, while worked examples provide step-by-step instructions with concise and relevant explanations. Discussions, Activities, Investigations, Puzzles, and Research exercises are used throughout the chapters to develop understanding, problem solving, and reasoning, within an interactive environment.

Mathematics 10E MYP 5 Extended , Third Edition