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Quality Assignments at #sbgchat

Another great topic last week at #sbgchat (9PM on Wednesday nights), where quality assignments were the theme.  There are so many people providing excellent ideas and thoughts each week, the action fast and furious, I have now found myself “favoriting” many tweets,  taking time on the weekend to read through the good suff, and reflecting upon what it all means to me as a math teacher.  You can review last week’s action on Sortify, and thanks to Tom Murray for hosting the recap.  Each week, there are a number of questions you can respond to, but I am going to focus on just one of them this week.

DESCRIBE THE IMPORTANCE AND ROLE OF QUALITY ASSIGNMENTS FOR STUDENT LEARNING.

Over my years of teaching, I have seen my approach to assignments change some.  As a beginning teacher, I did what I suspect many math teachers do: find a “good” worksheet which has practice problems tied to the lesson, or give the odd problems in the textbook.  In recent years, I added more reflective pieces to assignments, eventually using Google Forms to have students contribute ideas, in a move away from static assignments.  And my philospohies towards grading assignments has also changed to the point where I rarely grade nightly asignmnents.  Some of my favorite responses to this week’s #sbgchat question are helping to refine my attitudes further:

https://twitter.com/cevans5095/status/322154622917701633

If you ask students and teachers separately what the goal of an assignment is, how would the answers from each group be different?  Undoubetly, many teachers would point to the need for practice and their students to learn responsibility.  But what would students say?  Do students see the need to practice skills as a prmiary outcome of assignment completion?  Are your students asked to reflect upon why an assignment is valuable?  Have the learning goals been communicated and understood?  And finally, how do the math assignments math teachers give today look and feel different from those given 25 years ago?

What I really apprecaite about #sbgchat is that I am challenged to think about my classroom practices.  Sometimes, these are not comfortable reflections.  Often, the hard work required to shift to effective pracices seems monumental, and I wonder who is up to the task – me, my colleagues, my students.

THINGS I NOW BELIEVE ABOUT ASSIGNMENTS

  1. Students should understand how assignment completion will help (or not help) them develop skills, and this should be the primary motivation for assignment completion.
  2. Students should have the opportunity to personalize assignments, selecting problems and/or experiences which move them towards their goals.
  3. Students should reflect upon their choices, and communicate how their choices helped them (or did not help them) reach their skill goals.
  4. Teachers have the responsibility to provide appropriate options for skill mastery, and discuss those options with students.
  5. Students should be allowed to mess up.  It’s natural, and all young people will make a bad choice.  Learning to move on and adjust from bad choices is a lesson unto itself.  

In a post from a while back, I provided some ideas for differentiating assignments, and some of the ideas seemed to be quite popular.  I would add now that perhaps students should also reflect upon their assignment choices and be asked to justify them.   Are students choosing to path of least resistance?  Or are they choosing assignments based on their perceived areas of need?

To incorporate many of these ideas will require a change in culture from both teachers and students.  Why do we provide assignments?  And why do students complete them?

ONE THING I KNOW ABOUT HOW WE HAVE TRAINED OUR STUDENTS

  1. We have trained our students to play the school game.  Many assignments with point values cause students to play the point-gathering game, rather than reflecting upon their progress.  

Hadley Ferguson, a teacher near Philadelphia, has summarized her experiences with a non-graded 7th-grade class.  It’s inspirational reading.  The dedication to reflective practice, and creating a culture of saefty and authentic learning, have clearly changed the 7th grade.  It’s certainly not easy chaning a culture.

Here are more resources to help you assess and develop your own assignment philosophies:

Joe Bower – Real assessment for learning: Joe provides an outline of routines used in his classroom to provide feedback and information to students.

Creating Quality Classroom Assignments: Susan Brookhart provides a simple planning tool for evaluating classroom assignments.

Skills Mastery as the Beginning, Not the End: Justin Lanier provides his classroom experiences with a first attempt at standard-based assignments.  A sample checklist is given, and ideas of how to manage the grading.

ThinkThankThunk:  A wealth of resources and classroom experiences in SBG by Shawn Cornally.  The link here is for math, with ideas for fracturing your gradebook, but click around to find more resources.

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Technology

Screencasting Follow-Up

About a month ago, I posted on screencasting tips and basics, using resources from an after-school PD session I facilitated for teachers in my district.  The fantastic TV crew in the district filmed my presentation, and edited it down to a nice summary of the session.  Click the link below to get to our district’s video PD page, and look for the “creating your own classroom screencast” video.

HHTV Professional Development videos

Also, feel free to enjoy a video from back in December on Writing Strategies for Math Class, and other topics from my district colleagues.

I usually hate watching myself in these videos, but appreciate the fine work of Andrew Morse, Bob Anderson, and the HHTV crew!

 

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Technology

Teachers Sharing Desmos Ideas

This coming Tuesday, April 9, the fantastic online graphing calculator Desmos will be featured in a webinar held through the Global Math Department.  This is part of a weekly math conference series hosted by bigmarker.com.  Some weeks, there is a set theme, while other weeks teachers present their favorite lesson.  It’s exciting to hear some of the math teachers I have come to respect and admire through twitter and blogs share their favorite lessons, and you will always find something worth adapting for your classroom.  You can check out an archive of past webinars on the conference section of the Global Math Department on bigmarker.com.  I am looking forward to sharing my conic section lesson this week, and the agenda is packed with great ideas for Desmos, including:

  • @samjshah – Using sliders in polar equations to study conic sections
  • @Mr_Stadel – an exploration of gemetric shapes
  • @MrOrr_geek – Creating pictures using function transformations

Pop in and say hello, or come back later and enjoy the webinar archive.

DESMOS MAKES TABLES NOW!

Earlier this year, Desmos unleashed its table feature, and it is a seamless addition to an already simple tool.  You have choices for how to implement a table in a Desmos document.  Start a new table, and enter a rule in the “y” position.  Or take an existing function, and “edit” it to become a table.  Or, name your function as f(x) and Desmos will recognize it in a new table.  Here, a quadratic function was converted to a table, and a new column added to compute values of the derivative.

Desmos Capture

Think about the conversations you can with your class about this.  How do the values of the rule “2x+4” relate to the graph of the quadraic function?  When does 2x+4 take on positive / negative value?  When is it zero?

Play with the Desmos graph by clicking on the link, and enjoy the table feature.

DAILY DESMOS

Sometimes it’s the simplest idea that produces the biggest wow moments, and the Daily Desmos site earns my kudos for not only its simple, powerful concept, but also its potential for differentiation.  Each day, 2 new graphs generated on Desmos are given.  It is up to you, or your students to determine how the graph was made.  How was this graph made? Daily Desmos

Many of us teach high schoolers how to graph trig functions, and our students certainly know linear functions.  So, how to combine them?

The site also challenges users to contribute their own graphs and provides guidelines for basic and advanced graphs.  What a fantastic tool for differentiation:  allow you quick finishers to pursue a Desmos graph, and show off their ideas to the world.  Print out the graphs, post them around your room, and let math go beyond the mundane and routine.  When you have your first conversation about polar coordinates and functions with your class, when you weren;t planning to have it, you’ll know you are doing something right for your kids!  Thanks to Michael Fenton for starting the Daily Desmos.  Keep up the great work!