Mark Daniels – författare

When discussing the mathematical knowledge of elementary school teachers, the National Council of Teachers of Mathematics concludes that teachers must have a deep understanding of mathematics and be able to easily draw on that knowledge with flexibility in their teaching tasks. Mathematics teachers must understand the big ideas of mathematics and be able to represent mathematics as a coherent and connected endeavor.This inquiry and exploration-based workbook has been designed as a tool for pre-service and in-service mathematics teachers to use as a guidebook for “doing mathematics” and exploring mathematics topics in depth. The lessons chosen for this text serve as a function-based approach that connects important topics in the secondary mathematics curriculum and act as a bridge to university-level mathematics. Whether used as a course text or for individual professional development purposes, this book should be approached from the standpoint of discovery and reflection about the significance of the selected topics. It is the authors’ hope that the explorations contained within serve as vehicles for classroom discussion and presentation of mathematics topics, or as starting points for further investigation.

The discovery-based Constructing Numbers: An Inquiry-Based Capstone Mathematics Course helps students synthesize material from elementary analysis, linear algebra, algebraic structures, and geometry while providing perspective on how mathematical thought has developed.The book opens with the history of numbers. It moves on to cover axiomatic systems, real, complex, and constructible numbers, and an algebraic formulation of field construction. The final chapters are devoted to finite fields, probability, and permutation groups. By actively participating in the exercises and proofs, students learn how the material progresses in a logical way. They master the content by doing the work and presenting their results. Working through Constructing Numbers gives students a deeper understanding of the discipline of mathematics. They understand the importance of moving beyond a strictly mechanical approach to “doing” mathematics and to instead ask “why” mathematical processes are as they are. Intended for one-semester upper-division classes, Constructing Numbers can be used in capstone courses in the major, or classes for pre-service secondary mathematics teachers.

This authoritative and fascinating introduction to the legends of history will reintroduce readers to the cyclopes, Minotaur and centaurs of the Ancient Greeks, as well as shedding light on the wider world of mythology. The Midas Touch includes a stunning array of fascinating tales and gets to grips with the ancient stories of Aboriginal, Sumerian, Egyptian, Mesoamerican, Maori, Greek, Roman, Indian, Norse and Japanese cultures, encompassing legends from the most diverse societies and the most ancient cultures from across the globe.In a concise yet comprehensive format, The Midas Touch is a wonderful evocation of the hugely entertaining stories and characters of mythology.

A masterful introduction to world mythology, shedding light on the impact it has had on cultures past and present and untangling the complex web of deities, monsters and myths.From the signs of the zodiac to literature and art, the influence of world mythology can still be seen in everyday life. With a stunning array of fascinating tales, World Mythology in Bite-sized Chunks gets to grips with the ancient stories of Aboriginal, Sumerian, Egyptian, Mesoamerican, Maori, Greek, Roman, Indian, Norse and Japanese cultures, encompassing legends from the most diverse societies and the most ancient cultures from across the globe.Learn about why Odin, the Father of the Gods in Norse mythology, was so keen to lose an eye, the importance of the Osiris myth of Ancient Egypt, and much more besides.Entertaining, authoritative and incisive, this is an enlightening journey into the fascinating world of mythology.

Gods, Heroes and Monsters retells the ancient stories from around the world, which have been passed down by generation after generation of storytellers, each bringing a clearer understanding of life’s biggest questions.Since the dawn of communication, humankind has looked around itself and used myths and legends to make sense of the world. Imaginative tales of goddesses, heroes, villains and beasts bring understanding to the biggest questions in life: Who made the world? What happens when we die? Where did we come from? How should we live our lives?Gods, Heroes and Monsters invites you to take your place at the campfire that’s been glowing since the first tale was told. Featuring myths and legends from around the world, discover the fascinating variety – and several surprising similarities – of the stories that have been shared for millennia, from one person to another, one lesson at a time.Discover ancient stories on love, death, monsters and spirits and listen to tales of love, revenge and war between the pantheon of gods. Hear the tales of ordinary men and women who have stepped up and overcome life-threatening challenges, from Mulan to Hercules.

Explore the fascinating world of Greek and Roman history in this new entry in the bestselling Bite-Sized Chunks series.Perhaps more than any other period in history, the era of classical antiquity shaped the Western world as we know it today. From the pioneering schools of Greek philosophy to the far-reaching influence of the Roman Empire, so much of what we consider fundamental to our contemporary civilization can trace its roots back to Mediterranean Europe during this time.Divided into eight chapters, each covering an aspect of the classical world – the gods, heroes and monsters, rulers and government, war, art, philosophy, literature and science – this is the perfect primer for any reader looking for an introduction to one of the most captivating periods in history.With dozens of easy-to-digest entries on the most important people, events, art and mythology of the era, accompanied by maps and illustrations, The Classical World in Bite-Sized Chunks gives you everything you need to know about Greek and Roman history in one compelling and compact package.

Explore the fascinating world of Greek and Roman history in this new entry in the bestselling Bite-Sized Chunks series.Perhaps more than any other period in history, the era of classical antiquity shaped the Western world as we know it today. From the pioneering schools of Greek philosophy to the far-reaching influence of the Roman Empire, so much of what we consider fundamental to our contemporary civilization can trace its roots back to Mediterranean Europe during this time.Divided into eight chapters, each covering an aspect of the classical world – the gods, heroes and monsters, rulers and government, war, art, philosophy, literature and science – this is the perfect primer for any reader looking for an introduction to one of the most captivating periods in history.With dozens of easy-to-digest entries on the most important people, events, art and mythology of the era, accompanied by maps and illustrations, The Classical World in Bite-Sized Chunks gives you everything you need to know about Greek and Roman history in one compelling and compact package.

An entertaining and accessible introduction to the fascinating world of Greek and Roman history, covering the people, events, art and mythology that have shaped the Western world.Perhaps more than any other period in history, the era of classical antiquity shaped the Western world as we know it today. From the pioneering schools of Greek philosophy to the far-reaching influence of the Roman Empire, so much of what we consider fundamental to our contemporary civilization can trace its roots back to Mediterranean Europe during this time.Whether you're interested in myths and legends, ancient civilization or classical history, this compact book covers all bases. Divided into eight chapters, each covering an aspect of the classical world – gods, heroes and monsters, rulers and government, war, art, philosophy, literature and science – this is the perfect primer for any reader looking for an introduction to one of the most captivating periods in history.With dozens of easy-to-digest entries on the most important people, events, art and mythology of the era, accompanied by maps and illustrations, The Classical World in Bite-Sized Chunks gives you everything you need to know about Roman and Greek history in one compelling and compact package.Also available: The History of the World in Bite-sized Chunks (9781782437079) World Mythology in Bite-sized Chunks (9781782435754) The History of Europe in Bite-sized Chunks (9781789294163) The Universe in Bite-sized Chunks (9781789295023) The History of Science in Bite-sized Chunks (9781789290714)