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…
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…
Yesterday was the first day for my intermediate algebra class, which meets for a 2-hour block. Students spent the first hour solving linear equations (a review topic) with no instruction. We followed up with a class discussion regarding which problems they struggled with, and got students to offer their advice for those problems. It was a great start – students being responsible, communication, positive classroom atmosphere. I also had opportunities to sneak in some growth mindset ideas: speed is not…
One of the highlights of the recent ICTCM conference was Eric Mazur’s keynote address about “Assessment For Learning.” He mentioned an assessment technique known as IF-AT (Immediate Feedback Assessment Technique) that reminded me a great deal of the review strategy I have been using in my intermediate algebra course. (Here’s a blog on that review strategy.) I thought it was a great idea to try, so immediately postponed my elementary algebra exams on systems of two linear equations in two…
Today in my elementary algebra class we were reviewing solving systems of equations by addition or substitution. We were going over a system where students were having trouble determining what number to multiply each equation by in the system in order to eliminate the variable x. We had been discussing that the goal is to find the LCM of 12 and 14, but I told them that on exam day they could always fall back on multiplying each equation by…
This semester I am teaching two sections of elementary algebra using a flipped classroom model. The approach is different than the way I have flipped my statistics course, but has been very effective. I am relying heavily on MyMathLab outside the classroom. For each section that we cover … Students complete a “Flip” assignment before the material is discussed in class. The assignment contains conceptual videos that introduce each topic as well as videos of examples where problems are worked…
Thanks to the Transformation Grant, our college has begun to provide embedded tutors for developmental math and English classes. I have a tutor in each of my Math 200 (Elementary Algebra) classes. My tutors walk around throughout the class session, helping students and answering questions. I have had great results, and I am happy to say that my students feel that having a tutor in the classroom is very beneficial. Many developmental math students are much more comfortable asking questions…
This semester I am teaching a short term intermediate algebra class. I taught this last year, and I taught a chapter each week followed by a week to review for the midterm. I repeated the same schedule for the final. This semester I have changed the schedule and have had great success. After I finish covering each chapter, I devote a day to reviewing that chapter immediately. I bring in an old copy of a chapter exam, and the review…
I hear many instructors lamenting that their students are not doing their homework to the instructor’s satisfaction. If we agree that homework is an important part of the learning process, then it is important to tackle this problem. Do your students know why they are doing homework? Don’t be so sure that they do. Many students do it because it’s part of the game, because they are told to do it, because they get points for doing it. They should…