你的教学理念是什么?

专注于美可以解决教师面临的许多问题。如果我在听一场关于《了不起的盖茨比》的讲座，我会渴望演讲者讲述她所看到的美，而不是快速而粗俗的分析。我经常和那些承认数学不是他们在学校最喜欢的科目的人交谈。有些人感到难为情。有些缺口从未被填补。有些人根本不在乎。无论如何，我向他们承认，数学是我最喜欢的艺术形式，它和雕塑或爵士乐一样有很大的表达空间。我认为数学家一半是艺术家，一半是艺术观察者。我的熟人经常告诉我，对他们来说，这样看待数学是一种顿悟，这有助于治愈他们的数学创伤。我发现在课堂上展示美的一个奇妙的方法就是使用惊喜。 I like to present ideas from a simple perspective, discuss them briefly, then release a theorem. Thales' theorem (the diameter of a circle subtends a right angle to any point on the circumference) is a great example, especially with the aid of Java applets. After playing a bit with triangles by moving points around in a worksheet, it's surprising to be able to connect two structures as basic as a right triangle and a diameter. Next in importance to marveling at beauty, I want students to learn to think critically to solve problems. Understandably, some students have never had guidance past high school drills. All the more, problem solving should be emphasized and revisited throughout college curriculum. I have many years of experience in problem solving competitions and a collection of principles regarding problem solving that I like to follow. One is about inverse problems. Consider the following: if baseball cards are five cents apiece and shipping costs fifty cents, how many cards will one dollar buy? After making the arithmetic clear, students had better know how to calculate the forward problem, i.e. "How much will x number of cards cost?" I'm depending on them knowing the forward problem because we covered it last week, but it is important to bring it out in more than just a mention so the students have a comfortable base to start. It's like revisiting rational numbers before diving into irrationals. They are intrinsically tied, and it gives the class confidence to start with old material.

在与学生的第一堂课上，你会做什么?

介绍一下我自己，了解一下他们。我主要会专注于让他们对我这个人感到舒服。

如何帮助一个学生成为一个独立的学习者?

让他们尽可能多地掌握主动权。

你会如何帮助学生保持积极性?

使用鼓励的话。

如果一个学生在学习一项技能或概念上有困难，你会怎么做?

采用不同的方法，简化解释。

你如何帮助那些在阅读理解方面有困难的学生?

通过写下重要信息来帮助他们翻译问题。

当你开始教学生的时候，你发现什么策略是最成功的?

倾听他们。

你会如何帮助学生对他们正在努力学习的科目感到兴奋/投入?

告诉他们我觉得这门课有什么好。

你会使用什么技巧来确保学生理解材料?

让他们解决一个类似的问题。

如何建立学生对一门学科的信心?

告诉他们做对了什么。

你如何评估学生的需求?

通过倾听。

你如何使你的辅导适应学生的需要?

具体情况要具体分析。

在辅导课程中，你通常使用什么类型的材料?

铅笔和纸。