The Bootstrap Method The bootstrap method is a very useful tool to have an introductory statistics class. The bootstrap method begins with a sample of size n. Then a large number (I use 10,000 in my classes) of samples of size n are drawn with replacement from that sample. A sample statistic is computed for each sample. A typical use of bootstrapping involves the mean, but this procedure can be applied to the median, quartiles, variance, … Percentiles can be…
Last week I came across a Wired article: Wolfram|Alpha (& AI) Is Making It Easier To Cheat, and reading the article brought so many thoughts to mind about teaching mathematics in today’s world. Here goes … 1) We need to make sure that students understand that HW is a learning tool, not just something that earns points. — George Woodbury (@georgewoodbury) August 25, 2017 I feel that we often assume that students know why they do homework and that they…
The cycle of learning that I use with my students is one of Discover – Engage – Reflect, and today I want to focus on Reflect. It is hard to imagine that true learning can happen without some sort of reflection. What have we done? How is it similar to what we have done before? How is it different? What are my key takeaways? What concepts are not as clear as they need to be? On Monday I revisited using…
Last week I made a post about using quizzes in MyLab. Today I will expand on that topic to include personalized homework. In MyLab you can use the results of a quiz to load a personalized homework assignment. These are powerful tools, as they help students to determine which topics will require further study and then generates a homework assignment focused on those topics. Creating Personalized Homework I begin by making the quiz first. In my current algebra classes I…
Requesting your help … I’m trying to find an iPad app for making/recording screencasts for my students. So for today’s Technology Thursday, I’d like for you to recommend an app for doing this. Please leave your recommendation as a comment. Thanks – George
I tried something new in my intermediate algebra class. Over the last 3 classes we covered absolute value equations, absolute value inequalities, and graphing absolute value functions. I tried to tie these ideas together through the magic of Desmos, and although it started strong, it could have ended better. We began with the equation . Students solved this by hand and we went over the solution. Then I had students use Desmos to graph and determine where it intersected the…
This week in my intermediate algebra class we covered graphing absolute value functions. I began by having students create an x-y table for . We plotted the points and they could tell the shape of the graph, and I asked them which point was the most important point. They knew it was the turning point of the graph. So far, so good. Next, I put up this equation: . I then gave them a few minutes to figure out where…
Since the beginning of MyMathLab, I have incorporated quizzes into my courses. Creating a quiz is identical to creating a homework assignment, and many MyLab Math texts come with quizzes already loaded to copy into your course. Quizzes do differ in a couple of ways from homework assignments. Learning Aids Learning aids are automatically turned off. Students who over rely on “Help Me Solve This” or “View An Example” will hopefully realize this while taking the quiz. (I like to…
My first week of day-by-day blogging is complete. If you’d like to see where I go in week 2, including an introduction to inferential statistics through simulation and randomization, check out the blog here: https://georgewoodbury.com/statblog/. I created the blog to discuss the power of Interactive Statistics, Interactive Reading Assignments (read a little, watch a little, do a little), Learning Catalytics, StatCrunch, and the Flipped Classroom. I promise you will find tips and tools that will increase student learning.
This semester I will be posting about my experiences with the Flipped Classroom. I am using this approach in my Statistics class, and you can read about my day-by-day progress here. I am also using this approach in my Intermediate Algebra class, as well as some of my materials in an online Elementary Algebra class. If you have questions, comments, or topics you’d like me to cover, please leave a comment or reach out to me on Twitter. Pre-Class Assignments…