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Monthly Archives: February 2017

Student-driven learning in the math classroom


I get to work with teachers of all grade level and all content areas. That’s one of the best aspects of my job. I normally don’t like to make generalizations, but just this once I’m going to. In my experiences, math teachers have usually been the most vocal with me as to why technology integration and/or a student-driven learning environment don’t work in math. (Now, in their defense, I’ve heard that argument from just about every grade level and content area at some point along the line.) I take extra delight, because of that, when I get to work with math teachers who completely change their minds in that regard in a fairly short amount of time.

Think back to how you learned math. Chances are high that your math teachers lectured, demonstrating how to work through problems from the front of the room, and then provided you with problems to work out yourself using this information.  You probably memorized rules and formulas, postulates and theorems, and then prayed on test day that your memory wouldn’t fail you. You probably wondered at some point, “When am I ever going to use this?” Or, “How does this apply to my life?” If you were lucky like I am and that stuff just makes sense, then math was a decent experience. If you were like my husband who was the one asking those questions above and looking for any and all extra credit to pass each math class, then you probably commiserate with students still learning like that today. While math was fairly easy for me, I’m horrible at trying to teach higher math concepts (something I have to do often with my teenage daughter). I know how to solve the problem but can’t explain it to her in a way that makes sense. I don’t know the why behind the processes.

I recently wrote about a fantastic experience I had working with Mrs. E. She was a very traditional math teacher up until the fall of 2016. You can read more about her transformation here. The best part is that she isn’t an anomaly. I got to work with three other math teachers in the same district and watch their growth throughout a five-month period, as well.


Mrs. W’s tasked her Algebra 1 class with developing presentations to show their knowledge of Quadratic Equations in standard, vertex, or intercept form and describe the effects of the graph if any given variable is changed. The students chose their small groups and conducted research based on which form was assigned by Mrs. W. They had guiding questions for their research, but then had to construct three to five questions for their peers to answer following their presentations. The students were able to choose which platform they use to share the information and I saw Prezi, PowToons, and PowerPoint all being used. Following the presentations, students evaluated and gave constructive feedback to their peers about the content and presentation.


Ms. H teaches an inclusion class for Algebra 1. She works hard to differentiate her lessons to meet the needs of each unique learner. This past visit to her classroom, I saw the most student-directed learning yet in her class. She created a choice board for her students to choose from to learn the vocabulary for their new unit on parts of a quadratic. In introducing vocabulary in this manner, the students had to research and define each vocabulary word instead of just listening to the teacher or reading the definitions. They were in charge of their own learning, and the synthesization of that information in order to complete their chosen project showing their new knowledge. Check out her board for more ideas on how she used technology integration to increase their learning choices.


Mr. M teaches freshmen in an early college academy at Crowley. He also shared a thank you with me last week for pushing him to be more student-directed in his instruction. One important item to note is that I noticed Mr. M’s outstanding classroom management and excellent rapport with his students from the beginning of our time working together in the fall. These strong foundations allow for an easier transition into student-driven learning. It’s also fun to note that all of these teachers were teaching quadratic equations to their Algebra 1 students, making it easy to see much variation in the same topic area.

The day before my visit, students were given a blank graphic organizer over quadratic functions. They used technology to explore the properties of quadratic functions to fill in the graphic organizer.  Mr. M had also shared a video via EdPuzzle with his class to provide more information. After completing the graphic organizer, they worked with partners to present the material through whatever media they wish to use. They created their own quadratic equations then created a presentation that showed a graph representation of the equation. They had to determine the vertex, width, domain, range, the direction of opening, and the axis of symmetry.
It’s difficult to give up control in a math class. These teachers have made great strides toward releasing some of that control over to their students. If you are determined to transform your classroom into a student-driven learning environment, keep increasing their opportunities to make choices and find their own learning while giving them the vision of how math relates to their own lives. It works. And the students will thank you for it.

“But that’s not how I learn” – Part 2 of What Student-Driven Learning Really Looks Like

I have had the pleasure of working with an Algebra 2 teacher this year at Crowley ISD in Texas. She applied for a Dell Certified Eductor program in her district and attended my two-day kick-off last fall. She admitted that she signed up because she was positive that technology integration would not work in math. Some of you may be thinking that’s the opposite response you would’ve expected, and I’d have to agree. I love her thought process, however, in this situation. What I love even more is that once she put her mind to accomplishing the goal of effectively integrating technology into her high school math classes, she was all in.

After that initial two-day workshop, I got to lead Mrs. E through three job-embedded coaching cycles. We used the Teaching Innovation Progression Chart developed at Henrico County Public Schools sevenish years ago as the guiding document and measuring tool throughout the process. Today was my last round in Mrs. E’s classroom for this school year and to say I was delighted would be an understatement.

Right after Christmas break, she established three learning spaces in her classroom: Independent Station, Semi-Independent, and Teacher-directed. She started putting the class notes and other information in the LMS the night before. When students came in the next day, they could sit in the Independent Station and start to apply the knowledge on the class assignment. They could sit with a group of classmates at the Semi-Independent area if they wanted to discuss the content and work on the assignment collaboratively. Or they could choose to join the teacher for a more traditional teacher-directed lesson.

She frequently checks in with her students to see how they are doing with the changes she’s made. She recently asked a student why she always came to the Teacher-Directed group for the lesson instead of the Independent group. The student’s response was, “I don’t learn like that.” I wasn’t surprised by this response, but it saddens me all the same. Because everyone learns “like that” – by doing. It’s inherent. We are born with the capacity to learn by doing: rolling over, sitting up, walking, eating independently, etc. We didn’t learn to do any of those things by listening to someone tell us how to do it. But somewhere along this student’s school life, she forgot how to drive her own learning, and got used to the sit-and-get method. Fortunately, she has a teacher who is willing and eager to scaffold real learning experiences back into her life.

Today, Mrs. E introduced cube roots like this, “Today you’re going to learn about cube roots. But I’m not going to tell you anything about cube roots. [pausing for effect] Where do you go when you don’t know how to do something in math?” The students answered with Google, Khan Academy, and YouTube. Mrs. E added Purple Math, while I added Wolfram Alpha, and they had a list of places to begin. Prior to that, as they entered the class they chose a seat at a table for four. Then, after groups were assembled, they chose a role (Time Keeper, Computer Person, Scribe, Reporter). Mrs. E also had an assignment in Desmos to guide their research, and they were off to drive their learning, collaborating with peers, for the next 45 minutes. The Scribe recorded what they learned on chart paper and then the Reporter shared the group’s learning with the rest of the class. Mrs. E had this part of the lesson added so that she could supplement any information that they might not have found. The best part of that? She didn’t have to supplement at all! The kids found all of the information regarding cube roots that she had wanted them to.

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Out of the hour+ class period, I only observed one student out of 24 being off-task. They were engaged and working well together. In the last five minutes, she took a quick poll from the class on how they liked today’s class. It was overwhelmingly positive. I guess they do learn “like that” after all. I can’t wait to hear how the rest of the school year develops in this Algebra 2 class. Well done, Mrs. E!

What Student-Driven Learning Actually Looks Like (Hint: It Looks Fun)

Have you ever heard the quote, “When one teaches, two learn”?


This supports the mindset of, “The true strength in our classroom lies in the collaboration of learners, not in the knowledge of one expert.”  


Gone are the days where the teacher is the only expert in the classroom. Classrooms need to be a place of a community of learners—the teacher included.

The Methods of Teaching and Learning Need to Change.

I become a bit giddy when I get to visit classrooms where the teacher already understands this—when a visitor has to look to the fringes to even find the teacher in the room. In one week of visiting Crowley ISD in Texas, I witnessed the collaboration of learners in classes such as Math, World History, English, Audio/Visual Design, Computer Programming and Aerospace Engineering.

Aerospace Engineering Class

Students chose an aerospace advancement or achievement to research. Their teacher, Mr. P, gave them some guiding questions to use during the research but allowed them a choice in how they could present their learning to their peers. They had to be ready to justify why they selected that information to share. At the end of the project, the students will spend time reflecting and elaborating on what they could change/improve creatively for the next project.

Computer Programming Class

Mr. R, the teacher, gave the students the mission of writing code for a BB8 Sphero robot. The students jumped right in and started figuring out how they were going to write the program. This is the decision-making process of programming. The objective was to use the Lightning Lab app to program the Sphero to move in a square down four different hallways. The students walked the halls, timing how long it took them to get to each intersection to use as a basis for their code. After writing the code for the Sphero, they took it out to the hall for the first trial. It was fascinating to watch the learning process unfurl organically as the students tested each program, collaborating on the successes, failures, and adjustments needed after each trial run.

Audio/Visual Design Class

This was so much fun. The students each researched an important historical event and then wrote a script for an episode of the television show, Timeless. The author of each script became the director. They cast the episode and assigned roles to the other students in the class. Here, the Author-Director is laying out scenes with her actors while her Director of Photography gets photos for her storyboard.

The writers had to work with a $0 budget and spent time walking around the school to block where different scenes would be shot. For the episode I watched being laid out, scene locations included their classroom being converted into an Apple Store, an outside corner of the building being used as the backdrop of an alley in New York City, and a science lab being staged as a classroom. Mr. M, the teacher was a strategic observer as the students were making decisions about their personal projects in real-time. Other students offered opinions and insight as the scene unfolded.

That’s Great for Electives, but What About Core Subjects?

I know some teachers may be thinking this—how can I give up control when I have so many standards to meet prior to state testing? Great questions, but not very valid when talking with those teachers who are doing just that.

Ninth Grade Math

One teacher I know has made intentional changes this school year to move from teacher-directed instruction towards student-driven learning. Recently, she assigned her students to work with a partner to create a PowerPoint to show the Laws of Exponents. At the end of their PowerPoints, they have to ask questions that their peers should be able to answer from the content of the presentation. These questions at the end are essential to getting the students to think at higher levels. Students will conduct a peer review using a teacher-created rubric to evaluate Content, Slide Creation, Slide Transitions, Images, Grammar mechanics, and Tech Connection.

After talking with Ms. W, she shared her desire to offer more student choice next time by letting them select the platform for the presentation. This is a great next step, and it may require her demonstrating how to use something (i.e. Comic Strips, Prezi, etc.), and restricting their use of PowerPoint. Otherwise, most students will stick with what is “safe” and what they are most familiar with. I also suggested getting the students to provide input in constructing the next rubric, so they are driving the assessment as well. As an interesting side note, Ms. W communicates with students outside of class via Remind and Kik, encouraging communication and collaboration beyond the classroom walls.

Ms. V’s AP World History Class

I always enjoy visiting this class. My most recent trip showed the beginnings of an Interest Group Research Project. Students chose their groups (with 2–4 members), chose their interest group, and then discussed how they would present their project (live action vs. animated). Their mission was to research a group and then create a commercial in order to persuade and entice people to join their group. In addition to the commercial, groups must turn in a two-page typed essay answering the teacher-created questions to show thorough research. They were given one week to complete both portions of the project. Too often, projects are given too much time, drawing out the process and killing the engagement level. One week was sufficient time to research and produce their learning while maintaining interest in the project. As a result, the class will learn about fifteen different political interest groups while driving that learning themselves.

Remedial/Target English Class

Ms. M teaches this high school class where she is now focusing on student-driven activities for research, communication, critical thinking, and innovation. While I was visiting she assigned a research project that students will complete using PowerPoint. Each pair chose a persuasive speech topic; they will create an original PowerPoint supporting their opinions and have to research data for one of their reasons. Then, they can research more information, but by requiring at least one rationale they are able to practice citing sources including pictures/videos. In addition to research, students are required to incorporate slide transitions, animations, picture and videos to enhance their PowerPoint.

For the next project, she may consider opening up presentation platform choice to include more options, maybe even stepping away from Prezi/PowerPoint format altogether. This was a great choice of assignment as it enabled the students to concentrate on research and persuasion strategies.

The Move Toward a Student-Driven Learning Environment

I get to work with teachers all over the United States. These are only a few snippets of what I get to experience watching them move toward a student-driven learning environment. They share a common mindset of wanting to create space for students to be engaged in their learning by taking ownership over it. Traditional teacher-directed classrooms are not necessary for, and actually prohibit, success on standardized testing. Deeper connections are made through authentic learning experiences. These teachers understood that and they have the pleasure of watching those connections happen in the minds of their students.