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Author: Diane L. Herrmann Publisher: CRC Press ISBN: 1466554649 Category : Mathematics Languages : en Pages : 446
Book Description
Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors’ successful work with undergraduate students at the University of Chicago, seventh to tenth grade mathematically talented students in the University of Chicago’s Young Scholars Program, and elementary public school teachers in the Seminars for Endorsement in Science and Mathematics Education (SESAME). The first half of the book focuses on number theory, beginning with the rules of arithmetic (axioms for the integers). The authors then present all the basic ideas and applications of divisibility, primes, and modular arithmetic. They also introduce the abstract notion of a group and include numerous examples. The final topics on number theory consist of rational numbers, real numbers, and ideas about infinity. Moving on to geometry, the text covers polygons and polyhedra, including the construction of regular polygons and regular polyhedra. It studies tessellation by looking at patterns in the plane, especially those made by regular polygons or sets of regular polygons. The text also determines the symmetry groups of these figures and patterns, demonstrating how groups arise in both geometry and number theory. The book is suitable for pre-service or in-service training for elementary school teachers, general education mathematics or math for liberal arts undergraduate-level courses, and enrichment activities for high school students or math clubs.
Author: CK-12 Foundation Publisher: CK-12 Foundation ISBN: 1935983547 Category : Mathematics Languages : en Pages : 773
Book Description
Explores foundational math concepts that will prepare students for Algebra and more advanced subjects. Material includes decimals, fractions, exponents, integers, percents, inequalities, and some basic geometry. Volume 1 includes the first 6 chapters.
Author: Yan Ping Xin Publisher: Springer Science & Business Media ISBN: 9462091048 Category : Education Languages : en Pages : 267
Book Description
Are you having trouble in finding Tier II intervention materials for elementary students who are struggling in math? Are you hungry for effective instructional strategies that will address students’ conceptual gap in additive and multiplicative math problem solving? Are you searching for a powerful and generalizable problem solving approach that will help those who are left behind in meeting the Common Core State Standards for Mathematics (CCSSM)? If so, this book is the answer for you. • The conceptual model-based problem solving (COMPS) program emphasizes mathematical modeling and algebraic representation of mathematical relations in equations, which are in line with the new Common Core. • “Through building most fundamental concepts pertinent to additive and multiplicative reasoning and making the connection between concrete and abstract modeling, students were prepared to go above and beyond concrete level of operation and be able to use mathematical models to solve more complex real-world problems. As the connection is made between the concrete model (or students’ existing knowledge scheme) and the symbolic mathematical algorithm, the abstract mathematical models are no longer “alien” to the students.” As Ms. Karen Combs, Director of Elementary Education of Lafayette School Corporation in Indiana, testified: “It really worked with our kids!” • “One hallmark of mathematical understanding is the ability to justify,... why a particular mathematical statement is true or where a mathematical rule comes from” (http://illustrativemathematics.org/standards). Through making connections between mathematical ideas, the COMPS program makes explicit the reasoning behind math, which has the potential to promote a powerful transfer of knowledge by applying the learned conception to solve other problems in new contexts. • Dr. Yan Ping Xin’s book contains essential tools for teachers to help students with learning disabilities or difficulties close the gap in mathematics word problem solving. I have witnessed many struggling students use these strategies to solve word problems and gain confidence as learners of mathematics. This book is a valuable resource for general and special education teachers of mathematics. - Casey Hord, PhD, University of Cincinnati
Author: LiveABC編輯群 Publisher: 希伯崙股份有限公司 ISBN: Category : Foreign Language Study Languages : en Pages : 77
Book Description
人物 The Man with Big Dreams 重塑日本國際地位的首相──安倍晉三 Remembering Former Japanese Prime Minister Shinzo Abe 日本前首相安倍晉三在7月8日遇刺身亡，世人震驚哀悼。安倍縱橫政壇30年，是日本史上在位時間最長的首相，本文回顧他的政治生涯及遺緒。 政治 A Tumultuous Reign 任期內風波不斷 英首相強生黯然辭職 Boris Johnson Steps Down as UK Prime Minister amid Scandals 英國首相鮑里斯．強生艱難完成脫歐任務，但也遭醜聞纏身，聲勢暴跌。他於7月初宣布辭去黨魁一職，結束近三年的首相任期。 科學 Shots of the Universe 韋伯望遠鏡傳回你從未見過的宇宙景象 The James Webb Space Telescope Beams Back Its First Full-Color Pictures 斥資一百億美元打造的詹姆斯．韋伯太空望遠鏡回傳第一批全彩的宇宙影像，以前所未有的細節揭露遙遠星系、星雲的奧秘，讓科學界讚嘆不已。 政治 The Flying Fortress 普丁的空中堡壘──末日飛機 Russia’s Plane Designed to Evacuate Officials in Case of a Nuclear Attack 據說設計用來在核戰中作為俄國高層空中堡壘及作戰司令部的「末日飛機」相隔多年，再度於俄國勝利日閱兵彩排中現蹤，引發國際關注。 環境 The Land Threatened 極端氣候下的國家公園生態危機 America’s National Parks Are Affected by Climate Change 位於美國本土的國家公園有超過百分之七十面臨氣候變遷的衝擊，包含洪水、極端氣溫、乾旱及野火，對這些珍貴的地景造成極大威脅。 美食 Flame-Grilled Greatness 正宗德州烤肉 讓你食指大動！ Sampling the Smoky Taste of Texan Barbecue 看似豪邁奔放的德州烤肉其實蘊含著廚師累積多年的經驗和細膩手藝，跟著理查．奎斯特一窺「燒烤大師」的獨門祕方！ 商業 To Return or Not to Return 在家上班？回公司上班？職場的新兩難 Employers and Employees Clash over Working from Home 過去兩年疫情期間的居家辦公經驗讓求職者更傾向選擇有彈性的辦公模式，另一方面，企業主則希望員工回歸辦公室，掀起一波雇主與員工間的角力。 社會 Classroom Defenders 防堵校園槍擊事件 教師受訓對抗槍手 Teachers in the US Are Undergoing Training to Face Active Shooters 近期美國一連串槍擊事件讓校園安全蒙上陰影，學校教職員報名警方開設的用槍訓練班，希望能在危險情況發生時把傷害降到最低。 文化 A Priceless Palace 珍藏中華瑰寶 香港故宮文化博物館開幕 China’s Cultural Treasures Find Another Home in Hong Kong 香港故宮文化博物館於7月盛大開幕，9座展廳中展出逾900件中華文化瑰寶，包含166件一級文物，可看性十足！ 旅遊 Lisbon Rejuvenated 全球旅遊大復甦 里斯本的魅力再現 Portugal’s Tourism Industry Is Bouncing Back in the Post-Pandemic Era 葡萄牙首都里斯本走過歐債危機、新冠疫情，要用充滿陽光的海岸線、美酒、甜點和豐富的人文寶藏重新迎接全世界的旅人。 焦點話題 CNN 全球瞭望 Monkeypox Cases on the Rise 猴痘病例大增 專家憂疫情爆發 Hidden Secret in van Gogh Painting 梵谷畫中發現隱藏的自畫像 The World’s Deepest Shipwreck Discovered 史上最深的沉船在太平洋現蹤 談天說地話英文 全方位理解CNN The Buzz about Bees 智慧科技蜂箱 拯救瀕危的蜜蜂 新聞片語通 單字聯想地圖 露營英語 CNN主編教你唸 料理方式
Author: Kate Snow Publisher: Peace Hill Press ISBN: 194448129X Category : Juvenile Nonfiction Languages : en Pages : 776
Book Description
This scripted, open-and-go program from math educator Kate Snow will give you the tools you need to teach math with confidence–even if you’ve never taught math before. Engaging, hands-on lessons will help your child develop a strong understanding of math, step by step. Multiplication and division facts to 100 Adding and subtracting numbers to 10,000 Area and perimeter Adding and subtracting fractions Multi-step word problems Money, elapsed time, length, weight, capacity, and geometry Your child will develop strong math skills and a positive attitude toward math with fun activities like the Fraction Diner, the Chocolate Shop, Escape the Maze, and Division Crash. All you’ll need are this Instructor Guide, the two Student Workbooks (Part A and Part B), and simple household items (like play money, base-ten blocks, and a ruler) to make math come alive for your child. Hands-on, incremental lessons that steadily build conceptual understanding Daily review to ensure children retain what they’ve learned and master essential skills Games and pretend activities make math fun Easy to use, with clear directions and explanatory notes Delightful (and optional) enrichment lessons, with picture book recommendations and real-life math application activities
Author: DK Publisher: Penguin ISBN: 1465445684 Category : Juvenile Nonfiction Languages : en Pages : 322
Book Description
Math can be a mental minefield for many, but this essential home-study guide ensures everything adds up. This comprehensive math book for primary school children and their parents keeps the subject simple from start to finish. Whether solving subtraction, mastering multiples, or deciphering division, How to be Good at Math has got you covered. Eyecatching graphics and step-by-step sequences work together to lay the foundations of numeracy. There is plenty of fun to be had with exciting examples to aid accessibility and understanding. You'll fly down a zip wire to get the gist of geometry, time a robot runner in the race to deduce decimals, and use space scales to weigh yourself on giant planet Jupiter. Made with home learning in mind, How to be Good at Math also contains memorable facts and extra challenges to refresh your knowledge throughout. Primary school math can be practiced again and again to ensure this tricky topic is easier than ever before.
Author: Andrew Brodie Publisher: Bloomsbury Publishing ISBN: 1472924649 Category : Education Languages : en Pages : 48
Book Description
From one of the most trusted education authors, and matched to the National Curriculum, this book offers all the practice and tips your child needs to boost their times tables! With 35 practice pages and 7 progress tests, each book includes over 300 questions accompanied by useful tips and extra advice from Olly the wise old owl. Further challenges, requiring children to apply problem-solving skills, are featured in Brodie's Brain Boosters. And because motivation and encouragement are key to a child's success, each book includes over 100 full colour reward stickers!
Author: LiveABC編輯部
Author: LiveABC編輯部
Author: 
Author: Diane L. Herrmann
Author: CK-12 Foundation
Author: Yan Ping Xin
Author: LiveABC編輯群
Author: Kate Snow
Author: DK
Author: Enrico Bombieri
Author: Andrew Brodie