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所在平台: Udemy |
课程主页: https://www.udemy.com/course/school-mathematics/
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这门 Coursera 课程是为八年级学生量身打造的数学课程，涵盖了 CBSE 课程标准下的代数、算术、几何、测量、数据处理和图表等核心内容。课程旨在帮助学生深入理解数学概念，建立坚实的知识基础，并为未来更深入的学习做好准备。 **代数部分**将重点讲解一元一次方程、代数表达式以及代数表达式的因式分解。课程会从线性方程的概念入手，教授如何构建、求解并应用线性方程，强调其在人工智能和机器学习等高级领域的应用价值。接着，课程将深入介绍代数语言，包括项、因子、系数等，并指导学生如何将实际问题转化为代数表达式，掌握它们的加、减、乘运算以及化简技巧。此外，课程还会探讨几种重要的代数恒等式，帮助学生更快捷地应用代数知识。学习过程中，鼓励学生反复观看视频，暂停消化概念，并结合课本练习，遇到困难时及时回顾。 **算术部分**从逆元和单位元的概念开始，探讨不同数系的必要性及其性质，并鼓励学生自主探索。课程将详细讲解变量在直接、反比或无比例关系中的应用。随后，课程将深入讨论百分比和利息等常用算术概念，包括百分比的增减变化、利率、复利及其影响。所有这些概念都配以现实生活中的应用案例。此外，课程还将介绍指数和幂，帮助学生处理极大和极小数字，学习正负指数。平方、平方根、立方和立方根的概念也将被深入讲解，并结合有趣的数字模式，引导学生形成灵活的应用方法。 **数据处理和图表部分**定位于初学者，无论学生未来选择哪个专业领域，掌握数据分析能力都将带来显著优势。课程从基础的数据类型讲起，教授如何组织和呈现数据，以便直观地提取有价值的信息。课程将深入讲解各类图表，并指导学生如何解读图表。同时，课程还将介绍概率概念，用于衡量和管理不确定性。本部分内容是进入人工智能、数据科学、算法、量化金融等高级领域的基石。课程内容由充满教学热情的专业人士创作，针对学生学习难点进行了优化，通过多次重复和不同角度的讲解，帮助学生深刻理解概念，鼓励实践应用，并以轻松愉快的方式为未来挑战做好准备。 **几何和测量部分**旨在让感到困难的学生也能轻松学习，同时帮助已掌握这些知识的学生进行更深入的探索。课程侧重于打牢基础，激发学生学习和应用几何与测量知识的兴趣。课程将从简单和不简单的曲线入手，介绍凸起和凹陷的概念，并详细讲解各类四边形的性质（基于边的长度、角度和对角线）。此外，还将复习全等三角形和平行线性质。作为测量学的入门，课程将介绍二维图形的周长和面积概念，并结合实际案例进行应用。课程还将涵盖三维物体的表面积和体积，以及它们之间的关系和实际应用。四边形的构建和图形的学习也被纳入其中。这些知识对学生今后的学习至关重要，也是各类能力测试和入学考试的重要组成部分。课程强调“学以致用”，鼓励学生积极提问，通过打好坚实的数学基础，在未来的学习和考试中取得优异成绩。 **重要提示：**根据 Udemy 的政策，未满 18 周岁的学生，如果家长或监护人开设并管理其账户，可使用相关服务。
This course covers Algebra, Arithmetic, Geometry, Mensuration, Data Handling and Graph as per the CBSE syllabus of Class 8 level. The course is helpful in making one comfortable with these topics and provides a good start for building a strong foundation with focus on concept clarity. Algebra:In Algebra, there are 3 major topics in this course - Linear Equations in One Variable, Algebraic Expressions and Factorization of Algebraic Expressions. It starts with concept of linear, formulating linear equations, solving them and some applications of this concept. Formulation of linear equations is start of linear programming and modelling that has great applications in advanced topics like Artificial Intelligence and Machine Learning. Then, this course goes into algebraic expressions, terms, factors, coefficients etc. to make you comfortable with the language of algebra. It formulates few algebraic expressions for real life problems and discusses the steps to make you able to formulate expressions on your own. It also discusses about operations like addition, subtraction and multiplication of algebraic expressions. There are few examples of simplification of expressions which can be helpful in making expressions simpler without affecting their properties. This is useful in future to make mathematical model simpler and less computation extensive. There are few popular algebraic identities that make the application of algebraic expressions fast and convenient. We discuss and apply some of the identities in this course.In Algebra, we also discuss various techniques to factorize algebraic expressions. It is recommended that you watch the videos and understand the concepts discussed there. If required, keep pausing the videos to give yourself sufficient time to make yourself comfortable with that. Apply these concepts on problems given in your textbook. In case of difficulty, watch the videos again.Arithmetic:It starts with concepts of inverse and identity. Gets into the need of various types of numbers. It explores some of the properties of numbers and then makes you explore on your own. It discusses about variables in direct, inverse or no proportion and various applications of them.Then this course gets into some of the most commonly used concepts in arithmetic like percent and interest. It goes deep into increasing and decreasing various numbers with percent which is different than doing same with numbers. It makes one understand interest rate, compounding of interest and impact of compounding on interest. All these concepts have been discussed with real life applications. This course also discusses powers and exponents. These are useful in working with very large and small numbers. We discuss here positive and negative exponents. Concepts of squares, square roots, cubes and cube roots are discussed in detail. Some of the interesting patterns with numbers leading to these concepts are extremely helpful in developing smart approach in applying them in real life problems.Data Handling and Graph:This can be the first course on data and related topics for everyone. No matter, what field one wants to specialize, being able to make valuable meaning from data provide distinct advantage in achieving the goal. Every business and service have to make extensive use of data to remain competitive.This course starts at the most fundamental level by discussing various types of data. It helps you in organizing these data and presenting them in such forms that can be used intuitively in deriving meaningful information from them. We discuss about various types of graphs, interpret them and do some exercises. We live with uncertainties all around. This course also introduces the concept of probability that is used in measuring and managing uncertainties. The concepts discussed in this course grow at advanced level into the specialized fields like artificial intelligence, data science, algorithms, quantitative finance, etc. All the contents in this course have been created by professionals who are passionate about learning, applying and teaching Mathematical concepts. As you go through the course, you find that certain points are repeated more frequently than others. Discussions on certain topics go much deeper than some other topics. Sometimes, same topic is discussed with quite a few variations. These details have been decided based on analysis of learning difficulties faced by various students. The course helps in understanding the concepts deeply, encourages to apply the concepts learnt and prepares the students to face future challenges in enjoying way with ease.Geometry and Mensuration:Students finding geometry and mensuration somewhat difficult can enjoy this course and learn with ease. Students who are comfortable with these topics will be able to dive deeper in these concepts and make these topics their strong topics.This course focuses on understanding the basics deeply and hence is able to create excitement among students to learn and apply the concepts of geometry and mensuration.It starts with simple and not simple curves. Gets into the concept of convex and concave. Then, it discusses various types of quadrilateral and their properties based on sides, angles and diagonals. Some of the concepts related to congruence of triangles and properties of parallel lines are revised here.The course is also an introductory course on mensuration. It introduces the concept of perimeter and area for two dimensional surfaces. It goes into meaning and application of these concepts and also solves some interesting real life applications.There are sections on surface area and volume of three dimensional bodies. Few numerical problems related to relationships between them and making use of them in some real life applications are also solved here.Construction of quadrilaterals and understanding shapes have also been included in this course.All the contents in this course have been created by professionals who are passionate about learning, applying and teaching Mathematical concepts. As you go through the course, you find that certain points are repeated more frequently than others. Discussions on certain topics go much deeper than some other topics. Sometimes, same topic is discussed with quite a few variations. These details have been decided based on analysis of learning difficulties faced by various students. The course helps in understanding the concepts deeply, encourages to apply the concepts learnt and prepares the students to face future challenges in enjoying way with ease.Topics in this course go long way in higher classes/ grades in Schools. They form significant part of tests related to Numerical Ability, Quantitative Aptitude, Mathematical Reasoning etc. Students have to take these tests when they try for entrance examination in professional courses or take competitive examinations for various jobs. Majority of the students find it time consuming and difficult at that stage. This results into poor preparation for the examination and dis-satisfactory result. The only wise way to be strong in such situations is to learn these topics in right way right here.Never hesitate in asking questions.*As per the Udemy policy related to young students "those under 18 but above the age of consent may use the services only if a parent or guardian opens their account, handles any enrollments, and manages their account usage."
