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所在平台: Udemy |
课程主页: https://www.udemy.com/course/geometry-the-basics/
课程评论：没有评论
课程总结：几何学基础与拓展 本课程名为《几何学基础与拓展》，旨在帮助学生掌握几何学的基本概念和相关语言，并针对公立学校的共同核心标准中的“全等”部分进行深入讲解与练习。课程从原有的基础部分扩展而来，涵盖了转化的最新重点与传统的双列证明。 课程分为两个主要部分： **基础部分**：此部分是对几何学的一个广泛概述，适合以下几类学生： - 即将学习几何的学生。 - 当前正在学习几何并希望复习或从不同角度理解的学生。 - 对几何的整体性质感兴趣但不想花太多时间学习整个课程的学生。 基础部分将介绍许多日常交流中使用的几何词汇，以及一些专门术语，例如“斜边”。课程还包含丰富的外部资源和练习，帮助学生加深理解。推荐以每周一节视频（每节不超过10分钟）配合20分钟的额外材料探索进行学习。 **共同核心全等标准部分**：此部分专门讲解新的共同核心标准中的13个全等标准，适合希望深入了解转化及双列证明的学生。共同核心是基于过去20年的教学经验，强调重要主题并提供国家评估测试的参考。 课程目标是通过简练的内容和实用的练习，帮助学生建立对几何学的整体理解，鼓励他们探索这一重要数学领域。
The demand for my basics course was so high, I decided to expand it and charge a small fee for the extra time and effort for pulling these lectures and external resources together. The first expansion includes explanation and practice for about a quarter of the Common Core standards. Specifically it includes all the "Congruence" standards which encompasses the new focus on transformations as well as a lot of traditional two column proofs. Eventually I hope to make it to make it through all of the Common Core standards - either here or in other courses. THE BASICS - The original Course: Having taught Geometry for almost a decade, I've learned that one of the biggest challenges is simply the vocabulary. This first (and original) section is a very broad overview of Geometry and the language that it uses. If you've never heard this vocabulary, this will introduce it. If you have, this will reinforce it and put it into context. Said another way there are a few different kinds of students who would benefit from this section: Those who are about to take Geometry Those who are taking Geometry and want a review or another perspective Those who are curious as to the overall nature of Geometry but not wanting to take time for an entire course Some of the vocabulary and concepts discussed are used in every day conversations, whereas others are specialized and not usually found in everyday conversation (I'm looking at you, hypotenuse!). Some of these terms SHOULD be familiar while others will not be. The course also includes a lot outside resources to practice as well as Udemy-style quizzes. There's an old joke about what you remember from a college course five years after you've taken it. For Economics, it's supply and demand. For Chemistry, it's the periodic table is the organization of the elements. For English Composition, it's always start with an outline. This limited course is along those same lines: it will give you the general feeling for topics in Geometry without many of the details. The first section could be watched in one sitting if you don't do any of the exercises. A better way to take it would be to target one day for a week to watch one video (less than 10 minutes) and then spending 20 minutes after each lecture to explore the additional material that's included. SECTION 2 - Common Core Congruence Standards First, a word about Common Core. IF you live in a state that has rigorous Mathematical Standards, Common Core is simply a nationalized version of a variation of what has been taught over the last 20 years. It stresses some new topics and ignores some traditional stuff, but it's simply a road map for a GIANT TOPIC. In 180 school days, only so much can be learned about any given field - these standards attempt to point out what's important and what's not: Both in general and related to what will be on State/National assessment tests. There are 13 standards related to "Congruence" in the New Common Core and this section explains (at varying levels of depth in it's first iteration) all of them. I attacked this first because it had transformations in it and it was the one topic I knew I would have to do a fair amount of research on before I could teach it. This section is primarily for students: Interested in learning more about transformations and why they have become a new item of importance Need more and different examples of two column proofs and strategies for solving these.
