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This chapter covers quantum error correction, essential for preserving quantum information in the presence of noise. It introduces the bit-flip and phase-flip codes as foundational error-correction methods, building toward Shor’s code, which corrects general single-qubit errors. Logical qubits are formed by encoding physical qubits to maintain stability. Stabilizer codes are presented as a systematic framework for error correction, enabling fault-tolerant quantum computing. These principles are crucial for creating scalable quantum systems that can perform reliable computations, even in noisy environments, addressing a central challenge in quantum computing’s practical implementation.
This is the fifth edition of Making Sense of Mass Education. It offers a nuanced discussion of emerging problems in an ever-changing world. Changes to the field of education have not slowed since the publication of the fourth edition. Of course, this edition offers an updated contemporary assessment of all the topics addressed in the book, but it also provides an extensive discussion of the important and rapidly changing areas that impact mass education and the professional lives of teachers.
Alien abduction reports often follow a strikingly familiar pattern: lost time, immobilization, floating, bright lights, and invasive procedures. These memories are emotionally intense and vividly detailed—even when the events themselves can’t be verified. This chapter explores how neuroscience might explain why such experiences feel real, even when they may not reflect objective reality. Topics include memory formation and reconsolidation, the vulnerability of memory to suggestion, and the ways cultural narratives can shape the content of extraordinary experiences. It also touches on hypnosis, dissociation, and why some individuals may be more prone to magical thinking or altered states of consciousness. Through this lens, alien encounters are reframed as meaningful phenomena rooted in the brain’s powerful (and sometimes flawed) storytelling machinery—offering insight into how belief systems form around experiences that defy conventional explanation.
This chapter explores classical computation fundamentals, starting with Turing machines as a foundation for defining computability. The universal Turing machine is introduced, emphasizing the theoretical basis for all computable functions. Computational complexity is discussed, differentiating between tractable and intractable problems and explaining complexity classes as a framework for problem-solving. The chapter also covers the circuit model, providing a bridge between theoretical constructs and modern computer architecture. Finally, the concept of reversible computation is introduced, which has implications for energy-efficient processing. Through these topics, the chapter delineates classical computation’s limitations, setting up the motivation to transition into quantum approaches in subsequent chapters.
Sleep paralysis is one of the most terrifying experiences a person can have—and it’s surprisingly common. Cultures around the world describe eerily similar episodes: waking up unable to move, a crushing pressure on the chest, and the overwhelming sense that someone—or something—is in the room. This chapter explores how those experiences may arise from the collision of sleep architecture and perceptual ambiguity. It covers the basic neurobiology of REM sleep, explains what happens when paralysis persists into wakefulness, and investigates how hallucinations can emerge in these liminal states. The chapter also examines the role of the temporoparietal junction in out-of-body experiences and the sensation of a nearby presence. Rooted in both science and cultural context, this chapter offers a grounded explanation for a deeply human phenomenon—one that’s haunted people for centuries and continues to blur the line between brain and belief.
If we’re trying to come up with a theory to explain the sound of footsteps behind you, a feeling of a presence, lights that you can’t explain, or the psychic who knows everything about you, we might be tempted to say that supernatural forces are at work. But we also know that each one of these instances can be easily explained with neuroscience and psychology. This is what I’ve attempted to do in this book.
The Science of the Supernatural might, at first, feel like an oxymoron. I don’t think most people would immediately see the myriad connections between the paranormal and psychology. I didn’t at first, either. I’ve always loved ghost stories, horror movies, and scary novels. I have a distinct memory of lying in my bed as a kid, trying unsuccessfully to go to sleep. I had just read Stephen King’s short story “The Boogeyman.” I remember staring at my closet door, sure that it was slowly creaking open. Certain that the boogeyman was on the other side, waiting to kill me.
Of all the ways humans have chosen to divide themselves, none has a history as problematic as race. This concept has significant implications for almost every aspect of contemporary human conduct, irrespective of what ‘race’ we identify with, or even are deemed to belong to. This is particularly so for the field of education. This chapter looks at the complicated history of race as well as some of the current challenges that exist. In order to describe the complex issues within this important area, a wide range of interrelated terms are used. Probably the most important is the underpinning notion of ‘othering’; that is, thinking about a certain person or group as not ‘one of us’, as the ‘other’.
This chapter introduces quantum computation by comparing classical and quantum computers. Core concepts including qubits, superposition, and entanglement are introduced, setting the stage for deeper exploration. Various quantum computing models are summarized, with a focus on the circuit and topological models. The chapter explains why quantum computing is necessary, especially for tasks beyond classical computing’s limits. It discusses existing quantum platforms and provides an overview of their capabilities and limitations. The chapter also offers a brief historical perspective, touches on computational energy efficiency, and forecasts a quantum future where quantum and classical computing work in tandem. This groundwork provides essential insights into quantum computation’s potential and upcoming chapters’ explorations of algorithmic and theoretical principles.
A quick glance through history demonstrates that it has not always been an unbroken chain of human happiness, to put it mildly. Different individuals, groups and peoples have faced persecution for any number of reasons: where they came from, how they looked, their perceived (dis)ability, who or what they believed in, who they loved, how they identified, the family they were born into, or for no reason at all. It is against this backdrop that our current set of human rights has emerged. While this chapter focuses primarily on children’s rights and their relationship with education and educator obligations, it is necessary to understand the history of rights in order to understand why human rights, and particularly children’s rights, are so important to the work that we do as educators.