Concept-Based Mathematics

Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of math, it’s time for a new approach. When

Create a thinking classroom that helps students move from the factual to the conceptual Concept-Based Inquiry is a framework for inquiry that promotes deep understanding. The key is using guiding

Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms. It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals. The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Löwenheim-Skolem Theorems, elementary submodels, model completeness, and applications to algebra. This chapter also continu

「珍妮芙的著作是市面上思想最先進的數學教學資源之一。在強調概念為本課程設計的核心原理之同時，她平易近人的解釋和簡明的示例展現出如何引導學生獲得深入的概念性理解。這本書啟發了數學的思維！」──洛薏絲．蘭寧（LoisA.Lanning），《設計概念為本的英語文課程》作者「本書充滿引人入勝的評量示例、討論問題、研究文獻以及專屬數學主題的學習資源，瓦梭是涵蓋以上基礎的大師。任何一位數學老師或教學教練閱讀本書後，都很難不受到啟發，獲得立即可以應用在課堂的點子、評量與教學單元。對世界各地每位希望將數學帶進學生生活的教師，本書不啻一大福音。身為IB工作坊主持人暨教學教練，我希望這本書成為伸手可及的常備參考書。」──阿勒瑟斯．威金斯(AlexisWiggins)，IB工作坊主持人暨顧問提供學生數學內容與數學運算之間的連結——讓學生瞬間理解數學如果你的中學學生懼怕數學或對於學習數學感到挫折，是時候採用新方法了！當你教會學生概念而不是死背步驟，你讓他們看到數學本質的優美和實用——也幫助他們發現自己與生俱來的數學能力。本書是重整裝備的藍圖，幫助老師用深入、清晰和有意義的方式教授數學，並藉由概念透鏡幫助學生學會高階層次的思考技能。珍妮芙．瓦梭為你展示如何規劃課程單元、吸引學生投入、進行理解的評量、進而融入科技，並進一步為你導覽理想的概念為本課堂。本書提供的實用工具包括：●從算術到微積分的示例●探究任務、教學單元計畫實例、單元規劃表、模板與活動●搭配學生作品示範的評量示例●各國教育工作者的簡要經驗分享●搭配本書專屬的教學資源網站，提供學習指導、模板、範例、討論問題和其他專業成長活動每個人都有理解數學的能力，本書特別把艾瑞克森和蘭寧所提出有關概念為本課程與教學的論述延伸到數學領域，用來幫助學生獲得深入理解與世界各地課綱標準所期待的技能，讓他們為21世紀的職場做好準備。

The activity book is organized into 15 theme-based units around topics that kindergarteners enjoy, such as dinosaurs, pirates, and toys. Each unit focuses on a grammar concept and punctuation concept,

The thoroughly revised Study Guide is based on new assessment principles.A Concept Map gives students a tour of each chapter; Learning Objectives and self-tests are also included. Exercises include quizzes in various question formats (with answer key), graphical concept models, key terms, and Critical Thinking questions based on the Critical Thinking Skills in the text.

Give your preschooler a strong computer science foundation with Smart Start: Beginning Coding Stories and Activities. Children will learn important coding concepts with engaging stories and practice activities. Based on the K-12 Computer Science Framework, this dynamic early learning series helps children understand coding concepts to develop a strong foundation in computer science, including computational thinking, problem solving, and critical thinking. Each full-color activity book is organized into eight themed units around one coding concept and includes: - Coding stories that demonstrate what coders do and include an audio read-aloud feature - Concept pages that connect coding concepts to real-world situations - Practice activities that reinforce important coding rules - Review pages for every coding concept practiced - Coding projects with print-based games and puzzles - Mini coding handbook with key terms Computer science concepts and skills help early learners become critical

Give your kindergartner a strong computer science foundation with Smart Start: Beginning Coding Stories and Activities. Children will learn important coding concepts with engaging stories and practice activities. Based on the K-12 Computer Science Framework, this dynamic early learning series helps children understand coding concepts to develop a strong foundation in computer science, including computational thinking, problem solving, and critical thinking. Each full-color activity book is organized into eight themed units around one coding concept and includes: - Coding stories that demonstrate what coders do and include an audio read-aloud feature - Concept pages that connect coding concepts to real-world situations - Practice activities that reinforce important coding rules - Review pages for every coding concept practiced - Coding projects with print-based games and puzzles - Mini coding handbook with key terms Computer science concepts and skills help early learners become critica

Give your first grader a strong computer science foundation with Smart Start: Beginning Coding Stories and Activities. Children will learn important coding concepts with engaging stories and practice activities. Based on the K-12 Computer Science Framework, this dynamic early learning series helps children understand coding concepts to develop a strong foundation in computer science, including computational thinking, problem solving, and critical thinking. Each full-color activity book is organized into eight themed units around one coding concept and includes: - Coding stories that demonstrate what coders do and include an audio read-aloud feature - Concept pages that connect coding concepts to real-world situations - Practice activities that reinforce important coding rules - Review pages for every coding concept practiced - Coding projects with print-based games and puzzles - Mini coding handbook with key terms Computer science concepts and skills help early learners become critical

The IBMYP Mathematics Study Guide Level 3 is tailor-made for students in their third year of IBMYP studies and aims to build a solid foundation for further studies in Mathematics. Written by our highl

IGCSE Mathematics Study Guide id designed for students taking the Ed-excel/ CIE IGCSE Mathematics examination. Following the latest IGCSE topic areas, including number properties, algebra, geometry, t

IBMYP Mathematics Study Guide Level 4 is tailor-made for students in their fourth year of IBMYP studies and aims to build a solid foundation for further studies in Mathematics. Written by our highly e

The Mathematics: Modeling Our World curriculum is founded on the principle that mathematics is a necessary tool for understanding the physical and social worlds in which we live. This is not the same

《數學小史》用親切易懂的語言，帶領讀者走進數學的歷史長河，從古埃及與巴比倫時期，一路走到現代密碼學與數學理論的發展。書中不只介紹牛頓、帕斯卡等熟悉的名字，也細細描寫中國、阿拉伯、日本等地的數學成就，更特別介紹女性數學家的貢獻。這是一本融合人文與科學的溫暖數學故事書，適合對數字與知識充滿好奇的你。A lively, accessible history of mathematics throughout the ages and across the globeMathematics is fundamental to our daily lives. Science, computing, economics—all aspects of modern life rely on some kind of maths. But how did our ancestors think about numbers? How did they use mathematics to explain and understand the world around them? Where do numbers even come from?In this Little History, Snezana Lawrence traces the fascinating history of mathematics, from the Egyptians and Babylonians to Renaissance masters and enigma codebreakers. Like literature, music, or philosophy, mathematics has a rich history of breakthroughs, creativity and experimentation. And its story is a global one. We see Chinese Mathematical Art from 200 BCE, the invention of algebra in Baghdad’s House of Wisdom, and sangaku geometrical theorems at Japanese shrines. La

Mo Willems, #1 New York Times bestselling, award-winning author-illustrator, tackles a BIG concept in this hilarious nonfiction picture book about the relationship between size and scale. Are YOU big? A simple question sends readers to the far reaches of the universe. From an average-size kid . . . to a hot air balloon . . . to a storm cloud . . . to the M100 Galaxy, size is a matter of perspective. Bold text, expressive art, and real-world science come together in this original Mo Willems STEAM-based, early-learning concept book.

Proportionality is a German, and thus continental European, concept in public law that is applied by both the Court of Justice of the European Union (CJEU) and the European Court of Human Rights (ECtH

The book provides the reader with a multifaceted picture of mathematics education in Israel, put into an international perspective where relevant. It is intended to give an overview of a wide range of

Enhance students' critical-thinking skills in grades K-12 using high-interest mathematics content. This classroom resource provides leveled text-dependent questions to support students as they examine

In 1859, German mathematician Bernhard Riemann presented a paper to the Berlin Academy that would forever change mathematics. The subject was the mystery of prime numbers. At the heart of the presenta

?This book is the result of a joint venture between Professor Akio Kawauchi, Osaka City University, well-known for his research in knot theory, and the Osaka study group of mathematics education, foun

IBMYP Mathematics Level 5 Study Guide is tailor-made for students in their final year of IBMYP studies and provides a solid foundation for further studies in the IB program. Written by our highly expe

Mathews (California State U.-Fullerton) and Howell (Westmont College) present a textbook for students in mathematics, physics, and engineering at the junior or senior undergraduate level who have comp

Take to the skies with this handy journal featuring rarely-seen concept art from Porco Rosso, Studio Ghibli’s fantasy film about a bounty hunter under a mysterious spell—and his ace flying adventures.Complete with full-color artwork on the front and back covers, five interior spreads of concept art, and spot illustrations throughout, this journal is the perfect keepsake for Studio Ghibli fans and animation enthusiasts of all ages.

A bright, fun first concepts book featuring sweet mice characters and simple, yet clever die-cuts, Little Mouse Learns: SHAPES explains the concept of shapes to young children.A bright, fun first concepts book featuring sweet mice characters and simple, yet clever die-cuts to explain the concept of shapes. In this innovative die-cut title, children will learn the concept of shapes through bright, fun illustrations featuring Little Mouse and other friendly animal characters.The peep-through holes help children engage with the title and encourage sensory development and exploration, and bold colours bring these books to life.This is the first title in a series of first concept books in the Little Mouse Learns series:Book 1: OPPOSITESBook 2: COLOURSBook 3: SHAPESBook 4: NUMBERS​These board books are great for young children as they introduce them to these basic but important concepts in a friendly, fun, and accesible way!

A bright, fun first concepts book featuring sweet mice characters and simple, yet clever die-cuts, Peep-through: OPPOSITES explains the concept of opposites to young children.A bright, fun first concepts book featuring sweet mice characters and simple, yet clever die-cuts to explain the concept of opposites. In this innovative die-cut title, children will learn the concept of opposites through bright, fun illustrations featuring Little Mouse and other friendly animal characters.The peep-through holes help children engage with the title and encourage sensory development and exploration.This is the first title in a series of first concept books in the Little Mouse Learns series:Book 1: OPPOSITESBook 2: COLOURSBook 3: SHAPESBook 4: NUMBERS

A bright, fun first concepts book featuring sweet mice characters and simple, yet clever die-cuts, Little Mouse Learns: NUMBERS explains the concept of numbers to young children.A bright, fun first concepts book featuring sweet mice characters and simple, yet clever die-cuts to explain the concept of numbers. In this innovative die-cut title, children will learn the concept of numbers through bright, fun illustrations featuring Little Mouse and other friendly animal characters.The peep-through holes help children engage with the title and encourage sensory development and exploration.This is the first title in a series of first concept books in the Little Mouse Learns series:Book 1: OPPOSITESBook 2: COLORSBook 3: SHAPESBook 4: NUMBERS

兩河流域的算術泥板、搜尋引擎、巡航定速…數學早已是人類文明進程中的要角。斯德哥爾摩大學最年輕的博士Stefan Buijsman以趣味十足，引人入勝的筆法，向讀者解釋生活中無處不在的數學概念，及數學與哲學、心理學、歷史背後的關聯。Thousands of years ago the inhabitants of Mesopotamia became the first to use numbers. Since then, mathematics has been unstoppable. It's behind almost everything, from search-engines to cruise-control, from coffee-makers to timetables.But now that we hardly ever need to do arithmetic, how relevant is mathematics to everyday life? Pluses and Minuses demonstrates the role mathematics plays in human endeavour. It answers questions such as: What is life without numbers? Is the usefulness of mathematics mere chance? How can we get a grip on uncertainty? Stefan Buijsman's richly entertaining guide makes connections between philosophy, psychology and history, while explaining the wonderful world of mathematics for absolutely everyone.Born in 1995, Stefan gained a master's degree in philosophy in Leiden at the age of eighteen, after which he moved from Sweden to work on a PhD. Wi

Build early mathematics skills like counting, number recognition, understanding relative quantity and size, and more with Number Circus!. This large, sturdy lift-the-flap book teems with humorous vign

This classic by one of the 20th century's most prominent mathematicians offers a concise introduction to set theory. Suitable for advanced undergraduates and graduate students in mathematics, it emplo

Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and r

Well-written and accessible, this classic introduction to stochastic processes and related mathematics is appropriate for advanced undergraduate students of mathematics with a knowledge of calculus an

First book-length reference collection of research examining the unique opportunities and challenges presented by task-based language learning and teaching in Asia.

Table of Contents Ideal for preparing your fourth-grade students for state writing assessments and meeting new standards, this series offers scaffolded text-based writing practice with essential no

Table of Contents Ideal for preparing your fifth-grade students for state writing assessments and meeting new standards, this series provides scaffolded text-based writing practice with essential w

In this concise yet comprehensive guide to the mathematics of modern portfolio theory the authors discuss mean-variance analysis, factor models, utility theory, stochastic dominance, very long term investing, the capital asset pricing model, risk measures including VAR, coherence, market efficiency, rationality and the modelling of actuarial liabilities. Each topic is clearly explained with assumptions, mathematics, limitations, problems and solutions presented in turn. Joshi's trademark style of clarity and practicality is here brought to classical financial mathematics. The book is suitable for mathematically trained students in actuarial studies, business and economics as well as mathematics and finance, and it can be used for both self-study and as a course text. The authors' experience as both academics and practitioners brings clarity and relevance to the book, whilst ensuring that the limitations of models are highlighted.

Geometric constructions have been a popular part of mathematics throughout history. The first chapter here is informal and starts from scratch, introducing all the geometric constructions from high sc

Understand the role of mathematics in biology with MODELING THE DYNAMCICS OF LIFE: CALCULUS AND PROBABILTY FOR LIFE SCIENTISTS, 3E, International Edition! Designed to demonstrate the importance of mat

Introduces the concept of sorting objects by shape, color, and size.

First concept board book featuring the brilliant and award-winning Charlie and Lola.

Originating from a genuine need of the secondary school teachers of English in Hong Kong to understand what it means to implement a task-based curriculum in the English classroom, this book aims to su