5 Geometry Construction Videos You’ll ‘Flip’ for

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Years ago, when I was teaching Geometry using Discovering Geometry (probably edition 2), I found there were zero videos on how to do constructions. Using a tripod and video camera (state of the art then) I made these videos for students to watch at home to practice. As Comcast is eliminating personal websites, I found my old (2002!) site with these videos. Feel free to use, copy and post with credit! (Caveat: These are not new videos. Visual quality is not HD!)

 

 

Why Not Celebrate? My ECET2 Experience

On June 23rd, I received an email from The Bill and Melinda Gates Foundation inviting me to the fifth convening of Elevating and Celebrating Effective Teaching and Teachers (ECET²). I had never heard of this, and to be honest, thought the email was either a mistake or a hoax. What, I asked myself, had I accomplished in my teaching that would make me worthy of such an invitation? I know that I have a lot of experience, but I am the kind of person and teacher that looks with awe and wonder at what others can do without giving my own work much credit. After three intense days with the ECET2 community,that is now changed!

The goal of the convening is to “celebrate effective teachers and to build a strong network of teacher leaders working together to elevate the practice and profession”, and the experience did not disappoint. I was led to think of myself at various points as a superhero, a time-traveler, and someone who makes a difference in kids’ lives. We were treated like royalty, and that was something that does not happen very often. You see, it is easy to get dragged down by the frustration of  struggling students, failed lessons, unhappy parents, and the pressure everyone feels about college admissions and opportunities. ECET2 showed me to flip the script, and start thinking of the lives of the students first.

One of the powerful lessons was “lead with love”; show students how much I care about them, and that act alone will pave the way to powerful learning! I heard amazing stories of why other teachers were drawn to the profession through short keynote “cultivating a calling” speeches. All were inspiring; one such speech was delivered entirely in sign language by Lauren Maucere. She advocated for the needs of her students in the deaf community to learn in a way that serves their needs best. Lauren stood on stage and signed her message, while it was interpreted for the hearing community in a powerful flip of the usual delivery. The room of 500-plus was pin-drop quiet, and all eyes were on Lauren. Thanks to her, I will never forget how important it is to advocate for my students.whyiteach

There were excellent breakout sessions as well, where I learned other teacher’s perspectives on promoting student self-monitoring, developing my teacher-leader voice, and developing individual and team goals for mathematics instruction using data and rubrics. These sessions were presented by teachers, and represented success stories for the presenters. However, each session also sought to leave us with practical takeaways, and helped me see not only how I can improve in those areas, but also to celebrate what I already knew by sharing with others. There was no greater feeling than sharing an idea in the presence of so many accomplished educators and receiving a ‘shout out!’ in return. (Stay tuned for upcoming post on developing students’ self-monitoring.)

The most compelling part of the entire experience was the Colleague Circle. All of the participants were organized ahead of time into groups of 8 or 9, led by a member of ECET2’s trained volunteers. Ours, led by Derek Long, consisted of teachers from all over the country (Florida, Tennessee, Washington (state), Washington, D.C., to name a few) and varied experience levels. The goal was to connect us in professional problem solving to find solutions to problems of practice. We wrote down what was on our minds, and then as a group chose two problems to address. The process was well-defined, and designed to give the person whose problem was addressed practical and actionable solutions to employ right away. This was a powerful reminder of how teachers, if put together to address problems, can bring to bear their experience and skill to impact the overall practice of teaching.

You would think that a dinner/reception at the Seattle Aquarium, complete with awesome goodies and chances to see the otters and seals would top the list of highlights, but you’d be wrong. My highlight was seeing Melinda Gates herself, who was a surprise guest at our Thursday keynote. She expressed her passion for teachers, students and the teaching profession that did not do justice to her reputation. Moreover, she spent the rest of the day circulating to breakout sessions (sadly, not mine) and speaking with teachers. I could not help but be inspired by her words and energy!

Why not celebrate? Teachers should recognize what they accomplish in their classrooms, and understand that is where the magic happens. In the recent past, I introduced myself to students and parents by stating that my 30 years of experience is just code for “I’m old”. Now, I will say that my 30-years of experience means that I am traveling farther into the future than I ever have before, by making a difference in the lives of my students!

Post Script: I was moved during this experience to participate in #thankateacher.  My shout out goes to Mr. Hal Blocksom, my 4th grade Social Studies teacher (Red Clay Creek School District, Delaware). He not only made me laugh through his comedic style, but taught me that I had to work to learn. He held my feet to the fire, denying me recess to finish my country report (on Ethiopia), but praised me for my level of understanding and knowledge. I am forever in his debt.

If you are on twitter, send a shout-out today to that teacher that made a difference in your life, and helped you get where you are today.Who inspired your success? Write their name on a piece of paper, and take a selfie with it. Post with #thankateacher. You’ll be glad you did! Better yet, write an actual letter. Trust me when I tell you that your former teacher will treasure it forever. I still have letters from 30 years ago.

Eight Ways to Decrease Pressure and Increase Learning

I read a blog on philly.com, written by Faye Flam entitled “A Simple Solution to the Should We Teach Algebra Teaching Conundrum”.  She proposes a solution that got me thinking about a crucial question in mathematics teaching in general that seems to cause so much pain in both teachers and students.

Students (and teachers) seem to be under so much pressure all of the time, and, if we know that increased pressure creates an adverse learning environment, how do we decrease the pressure without sacrificing content?
Under Pressure
I am thinking that pressure comes in many forms for students, and for teachers. There is assessment pressure; a student’s fear of not knowing, of not studying the right thing, of just not being good enough. Students have a fear of low grades that comes from themselves, their parents, college counselors, and even school expectations. There is ever-present time pressure, both for them (I have so much to do) and me (they-didn’t-understand-what-I-did-today-then-homework-tonight-is-a-disaster-in-waiting). I feel pressure from within (I really want the students to succeed, and feel terrible if they don’t) and without (parents and school expectations.) So, here are some ideas I’m toying with using in my classroom this year, learned from recent workshops and conferences. My thanks, up front, to the Center for Innovative Teaching and Henri Picciotto.

  1. Paired or Group Assessment. Students assigned to pairs or groups of 3 to work out an assessment (standard test or quiz) together. Instead of trying to see if kids are cheating, I can watch (even record) their collaborative efforts. I think that students, knowing in advance that they will test together, may also study together. They will plan before the test, develop strategies, and hopefully focus on the mathematics. I think students will think less about grades, and will be less fearful.
  2. Separating homework from classwork. It was suggested that if kids are doing homework that is not entirely connected to what happened today in class, then there is a sense of relief on the student’s part that it is ok if they didn’t understand everything  in class. The way I’m going to try this is, as Henri Picciotto suggested, teach content item A (say, exponentials) in first week, and refer to that in homework in week 2 while I am teaching content item B (say, sequences). The two items don’t need to be connected, and may be better for the student if one doesn’t depend on the other.
  3. Using writing better: I have often employed writing in journals and reflections on tests; I believe that a class blog and individual shared documents can help me and the students identify issues and trouble spots. The research presented in the January 14, 2011 article in SCIENCE entitled ‘Writing About Testing Worries Boosts Exam Performance in the Classroom’ suggests that prior to an assessment, students do better if they write about their anxiety about the test they’re about to take, they will do better. Worth trying! (see Science, registration required to view article.)
  4. Test corrections/retesting. I thought of myself as being pretty progressive, given that I evaluate all of my tests using a rubric, and students write corrections, reflections, and a self-assessment. What I think is missing is giving students the opportunity to show mastery of the material. I am going to offer to student the opportunity to show mastery using other means, if they wish. This could be a verbal test/discussion with me, a video of themselves explaining how to do the math they need to learn, creating a tutorial for other students, etc. Time consuming, certainly, but perhaps more authentic then me rewriting a test and having them go at it.
  5. Giving them the answers, but not the solutions. My students tell me that they come up with all kinds of ways to figure out problems on homework by ‘reverse-engineering’ from the answers. So occasionally I will give them both the question and the answer, and see how they connect the two. 
  6. Use of techy-tools to give better feedback: I know about student-response systems (like Socrative, Nearpod, eclicker, etc.) and how I can use them to help students know what they know. I just need to use them!
  7. Backchanneling: Up to now, I have been terrified of the cellphone in my classroom. My time at ISTE12 taught me that I can use this tool that all the kids have, along with TodaysMeeting or PollEverywhere to ask students to give on-the-fly feedback to what is happening in class. The idea that I can go back through all of those questions (even the one that asks when the quiz is being returned) later and answer them relieves some pressure to answer every question during the class period.
  8. Keeping it positive. Sounds easy, but I tend to focus on what needs to be improved, rather than celebrating what was awesome. If I give them global reports about how they are ‘outlearning’ last year’s class or how much they’ve improved since the beginning of the unit, then I have to believe they will feel less pressure. I saw a youtube video about linking positivity to happiness, with the result being better performance by Shawn Achor (The Happiness Advantage: Linking Positive Brains to Performance ) This reaffirms the idea that getting students to focus on positivity through specific actions can shift their view about what they’re learning, and perhaps about mathematics as a subject.
What are things you do that relieve pressure on yourself, or on the students? I’d like to hear!