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AOPS Math 奥数
Materials 教材
AOPS Math 奥数数学教材系列 (请点击下面每个课程链接到官方网站了解课本内容和购买纸书)
AOPS Math curriculum is specifically designed for high-performing math students in grades 5-12. We present a much broader and deeper exploration of challenging mathematics than a typical math curriculum and show students how to apply their knowledge and problem-solving skills to difficult problems. We help students learn the critical problem-solving skills necessary for success at mathematics competitions (such as MATHCOUNTS and the AMC), top universities, and competitive careers.
AOPS 奥数的课程专为 5 至 12 年级数学成绩优异的学生而设计。与典型的数学课程相比,我们对具有挑战性的数学进行了更广泛、更深入的探索,并向学生展示如何运用他们的知识和解决问题的技能来解决难题。我们帮助学生学习在数学竞赛(例如 MATHCOUNTS 和 AMC)、顶尖大学和竞争性职业中取得成功所必需的关键解决问题技能。
Pre- Algebra 预备代数 Clic the link for more details: https://artofproblemsolving.com/store/book/prealgebra
Introduction to Algebra 初级代数 Clic the link for more details: https://artofproblemsolving.com/store/book/intro-algebra
Introduction to Counting & Probability 初级计数和概率导论 Clic the link for more details: https://artofproblemsolving.com/store/book/intro-counting
Introduction to Geometry 几何 Clic the link for more details: https://artofproblemsolving.com/store/book/intro-geometry
Introduction to Number Theory 初级数论 Clic the link for more details: https://artofproblemsolving.com/store/book/intro-number-theory
Intermediate Algebra 中级代数 Clic the link for more details: https://artofproblemsolving.com/store/book/intermediate-algebra
Intermediate Counting & Probability 中级计数和概率论 Clic the link for more details: https://artofproblemsolving.com/store/book/intermediate-counting
Precalculus 预备微积分 Clic the link for more details: https://artofproblemsolving.com/store/book/precalculus
Calculus 微积分 Clic the link for more details: https://artofproblemsolving.com/store/book/calculus
The Art of Problem Solving, Volume 1: the Basics Clic the link for more details: https://artofproblemsolving.com/store/book/aops-vol1
The Art of Problem Solving, Volume 2: and Beyond Clic the link for more details: https://artofproblemsolving.com/store/book/aops-vol2
如果孩子是数学竞赛选手,那AOPS更是一座宝库;
AOPS的教材被奉为北美中学生数学竞赛必读/必学经典;
麻省理工大学的官网申请页面中是这样介绍AOPS的:
“在我们热爱专研数学的学生眼中,AOPS 是无法替代的学习资源。”
注意:表格中各课程的总时间不被定义为标准和必须的授课时间,由于每个班级学生的理解和数学基础不一样,所以老师在实际授课中使用的总授课时间可能会根据学生的不同程度而有所增加。
下面是AOPS Math系列教材,请点击下面不同课程图片到官方网站了解课程教材内容和购买纸书
Prealgebra prepares students for the rigors of algebra and also teaches students problem-solving techniques to prepare them for prestigious middle school math contests such as MATHCOUNTS, MOEMS, and the AMC 8.
《Prealgebra》预备代数为代数学习做好准备,并教授学生解决问题的技巧,为他们参加著名的中学数学竞赛(如 MATHCOUNTS、MOEMS 和 AMC 8)做好准备。
A thorough introduction for students in grades 6-9 to algebra topics such as linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and more!
为 6-9 年级学生全面介绍代数主题,例如线性方程、比率、二次方程、特殊分解、复数、绘制线性和二次方程、线性和二次不等式、函数、多项式、指数和对数、绝对值、序列和系列等等!
A thorough introduction for students in grades 7-10 to counting and probability topics such as permutations, combinations, Pascal's triangle, geometric probability, basic combinatorial identities, the Binomial Theorem, and more.
为 7-10 年级的学生全面介绍计数和概率主题,例如排列、组合、帕斯卡三角形、几何概率、基本组合恒等式、二项式定理等。
A full course in challenging geometry for students in grades 7-10, including topics such as similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, introductory trigonometry, and more.
为 7-10 年级学生提供的具有挑战性的几何完整课程,包括相似三角形、全等三角形、四边形、多边形、圆形、时髦面积、点的幂、三维几何、变换、三角学入门等主题。
A thorough introduction for students in grades 7-10 to topics in number theory such as primes & composites, multiples & divisors, prime factorization and its uses, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and more.
为 7-10 年级的学生全面介绍数论,例如素数和合数、倍数和除数、素数分解及其用途、基数、模算术、整除规则、线性同余、如何培养数感以及更多的。
A comprehensive textbook covering Algebra 2 and topics in Precalculus. This book is the follow-up to the acclaimed Introduction to Algebra textbook. In addition to offering standard Algebra 2 and Precalculus curriculum, the text includes advanced topics such as those problem solving strategies required for success on the AMC and AIME competitions.
一本涵盖代数 2 和初级微积分主题的综合教科书。本书是广受好评的代数导论教科书的后续版本。除了提供标准的代数 2 和初级微积分课程外,本书还包括高级主题,例如在 AMC 和 AIME 竞赛中取得成功所需的问题解决策略。
A classic problem solving textbook for students in grades 7-10 who are preparing for contests like MATHCOUNTS and the AMC 8/10/12.
一本经典的问题解决教科书,适合 7-10 年级正在准备 MATHCOUNTS 和 AMC 8/10/12 等竞赛的学生。