My Implementation of SBG for Math

I have been thinking through how I want to implement SBG for my physics class, and that got me thinking about my implementation of SBG for my math classes and how I think it will have to change for physics.  I think this is an appropriate time for reflection on the past.  I will talk about how I set up my classroom and then talk about why I do what I do.

 

What I Do 

I feel that my SBG system for math is more accurately describes as Skills Based Grading instead of Standards Based Grading.  I have a one to one correlation between skills and test question types.  I would give a Skills Test every week, and that test would be a collection of skills.  The class before the Skills Test I would give a Skills Test Preview.  Every skill would get its own score (see grading scale below).

 

Here is the grading scale I have used when grading these Skills test

A – 100%

B – 85%

C – 70%

Not Yet – 40%

 

1)  Every skill is tested (at least) twice.

2)  The first time a skill is tested the skill is an easier version of the problem.  Because the first time a skill is tested the version is easier I will only give a maximum score of a B.  The second (and beyond) time a skill is tested will have a maximum score of an A.

3)  My gradebook will only remember your highest score on a skill.

4)  Any skill for the semester can be retested with prior notice.  I allow the retesting of one skill a day.

 

Why I Do What I Do

Of course no ideas are original.  I switched to a Skills Based Grading system during the 2009-2010 school year.  This article by Dan Meyer was my inspiration (The Comprehensive Math Assessment Resource) along with articles from Marzano.  I have made some changes and tweaks for this system to work in my world.

The one to one correlation between skill and problem type was necessary because I only have a two-dimensional gradebook (my school uses the gradebook in Aeries SIS), with the dimensions of student and skill leading to a single score.  I wish we had a three-dimensional gradebook, where each student and skill can lead to multiple scores, but I don’t see that coming to Aeries any time soon and I am unwilling to use a separate gradebook outside of Aeries.

Currently my school has a 7 period modified block schedule, where we see all classes on Monday, we see all odd period blocks on Tuesday and Thursday, and we see all even period blocks on Wednesday and Friday.  I never like to surprise my students with assessments so we would have a preview of the skills test every first block (Tuesday and Wednesday) and a skills test every second block (Thursday and Friday).  I will give students time in class during the first block to go over the preview and then I make sure we go over every problem in class.  Then the solutions are posted on my website.  As I tend to have a new class or two every year (I have taught 12 different preps in my 7 years of teaching at my current site) I use the previews as a time to write a first draft of the test.

I have modified my grading scale to something simple.  I use a 40% as the lowest score a student can receive on a test because of this article (The Case Against the Zero – CCRESA).  I used to have a score that corresponded to 55% (so a consistent 15% increase between scores) but I dropped it because I only wanted a minimum competency on a skill, as represented by a C (70%), to count in the gradebook.  I never liked deciding whether a student got a 40% or a 55% because they were both not showing competency.  And eliminating a score (and a choice) it made it even easier for me to grade.

My gradebook only remembers your highest score because I had no straightforward way to record the history of the scores on the skill.  As I enter in the scores I only change the score if the new score is higher.  And I love having the first time a skill is tested to make it an easier version of the skill and not allowing students to earn the full score on that version.  Everyone gets tested twice and gets feedback after the first testing.  Students get the confirmation that they know (or do not know) how to solve the skill.  And everyone is trying the second time a skill is tested because everyone is trying to get a score of 100%.  It is pretty amazing how that works for students regardless of skill level.

I have gotten away from students recording their own scores on a separate paper.  I never enforced that in an authentic way.  Students would fill it out by looking at their grades online instead of as they received their papers.  I didn’t feel like that was the behavior I wanted but I also knew that I didn’t want to enforce the desired behavior (recording their scores as they received their papers).

Every student can retake a skill throughout the semester.  This implementation is one of my biggest disappointments, though.  I cannot get students to retake tests.  I only allow retakes outside of class, and even though I am usually in my classroom during break and lunch I don’t have many students asking for retakes.  I only allow one retake for one skill a day because I really want students to learn one skill, show me, and then learn something else.  Also, it saves me from a student coming to me in the last couple of days before a semester and asking to retake eight skills.  I do not give a skill retake on a day that I help them through a skill.  I will give students complete practice problems before they retake the skill to make sure they are up on the knowledge.  I want them to see that their scores are not determined by a magic 8 ball or by a lottery.  Their skills are determined by their practice and learning.  I expect them to practice and show me their learning.

I wanted to make my life easier in the long term by creating problem types in ExamView that would let to create multiple versions of a test (my students all sat in groups of 2-4).  I learned how to program questions in ExamView and I have created test banks for my Algebra 1, Algebra 2, and Trigonometry classes.  Those test banks made it really easy for me to make test retakes and practice for students.  And while it is a lot of work up front to create those test banks the effort did pay off as I taught a class multiple times.

Below are examples of my tests and previews.  Notice how they are similar in format but notice how the skills and scores summaries are slightly different at the top.  These tests were all created in Word for my Integrated Math classes.

Sample Skills Test Preview

Worked out Solutions to the Preview (reviewed in class and posted on my website)

Sample Skills Test

I hope this helps to explain how I have implemented a skills based grading system in my math classes.  I have tried to be deliberate with all the decisions I have made.  I want this system to be focused on student learning while being manageable for a teacher to implement.  And I am looking forward to showing how my physics class will be similar and different.

Transitions

It has been too long since my last blog post.  I didn’t even do any writing reflections during the 2016-2017 school year!  But this school year will be different.  There are some changes this upcoming year.  I am a math teacher by training and experience.  But during the 2017-2018 school year I will not be teaching any math.  I will be teaching 3 periods, where one period is both of my engineering classes and my other two periods will be teaching physics.  No math!

I have been thinking a lot on how I will be teaching physics this year.  I know I will be using the modeling physics material from AMTA.  And I know I will be evaluating the students using a standards-based grading (SBG) system.  I have been using a SBG system in most of my math classes for the last 7-8 years so I have experience with the system.  But I had been having a tough time wrapping my head around how I would use SBG for physics.  Well, it seems that others have this problem also and I found a 3 day workshop in Manhattan, New York that was addressing SBG in STEM classes.  And one of the workshop leaders is a major contributor to AMTA for physics and uses SBG in his classroom.  That seems like a great place to learn, right?  So I went to the workshop last week, learned a lot, and got back home a couple of days ago.

Over the next week or two I want to post reflections from the workshop as I begin to build this system for my class.  This is really exciting for me.  I love implementing student-centered systems and learning with the students.  I am excited about the upcoming school year.

Beginning to teach lines Part 1

Introduction

So I know the second half of my Algebra 1a class is going to be focusing on the linear part of Algebra 1.  I want to look at multiple representations of linear relationships, and I want to tie these relationships to something they can see and measure.  Here is what I have done and I will also talk about what I want to do.

Start with solving proportions

I have known that I ultimately want my students to be able to interpret position versus time graphs, so I decided to start with introducing ratios and solving proportions.

I started the worksheet above with this idea from Sarah Hagan (of Math = Love Blog fame).  I wanted to stay away from even mentioning cross multiplying when solving proportions because I see students try and use it everywhere… regardless if it applies or not.  So I really emphasized solving an equation techniques.  I also wanted students to get used to working with units.  These numbers have meaning.  Please state the meaning.
We spent a lot of time writing and solving proportions.  Some were doing really well with it.  I then wanted to begin a graphical representation of ratios and all the proportion solutions.

Students were expected to come up with their own scale for the graphs.  Also, I have been emphasizing all year long that a graph always needs three things, the quantity for both axes, the units for both axes, and the scale for both axes.

So now I wanted students to find other solutions from looking at the graph.  Also notice that I am asking students to write the ratio of distance over time.  Again, that is to preface our slope discussion, and to show that this distance over time has meaning!

There is more to come… part 2 will be up soon.

Decimal Scales

I used some of the decimal scale slides from this site today.

http://donsteward.blogspot.co.uk/2015/12/decimal-scales.html

It really got my Algebra 1a students thinking.  And it was a great lead in to us talking about graphing and determining a scale for the axes.  It really helped to bring out their misconceptions of scales having different size intervals.  This was a great exercise for them today.

 

Today in Principles of Engineering (11/2/15)

Please continue with your exploration titled Define Relationships in Series Circuits.  You will be expected to talk to others.  This work isn’t easy, but I know with perseverance you can figure out what I am looking for.  Remember to be on your best behavior for our guest teacher.  I tell everyone I have awesome classes, so remember that I have high expectations for your behavior.

Please know that the last page of circuit evaluations need to be done by hand first.  You will check your work with a circuit simulator and then build the circuit.  But you will be tested on these concepts by evaluating the circuit by hand.  Here is how I would start attacking any circuit evaluation.

  • Find the total voltage and resistance.
  • Use Ohm’s law to find the total current.
  • What do you know about the current in a series circuit?  I bet you now know the current through each resistor.
  • So you know the current through each resistor and you know the resistor value.  I bet you can use Ohm’s law to find the voltage drop across each resistor.
  • As always, remember your units and metric prefixes..

I hope this helps.

I will need 1-2 volunteers to take the Chromebooks back to the library.  Could this happen in the last 5 minutes of class?  Thank you!

Today in Algebra 1a (11/2/15)

Please log into Google Classroom.  You will receive a worksheet (Evaluate My Geometric Expression) from our guest teacher.  You will work on that (without a calculator) in small groups and enter your answers into the linked form.  You will get back an email telling you which problems are right or wrong.  Please work on correcting the problems that are wrong.  If you do not finish in class then this work is your homework.  If you finish early you can work on IXL work.

Please know that I have high expectations for your behavior.  I know everyone has something to do.  I know some of you should be thinking of retesting on past skills.  Please stay focused on the task at hand.  Show our guest that you are as awesome as I say you are.  Thank you.

Today in Engineering 2 (10/16/15)

Students of Engineering 2,

As always, please treat our guest teacher with the utmost respect.  Basically, just be you.  I do believe the best students at HHS are in room 43.  Today is a day you get to show everyone how true that statement is.

I know all of you have projects to work on.  I will need my TA to get the brown Chromebook cart.  It will need to be returned to the library before the end of class.  Juniors who missed the class last meeting will need to have a quiz preview.  Solutions are posted online.  We will have a quiz on Monday.

A new project has been posted in Google Classroom.  Please read through it before you begin.  I have a clarification on inputs in our input/output table.

 

By the way, let’s have a recap of our 3 projects so far.

Project name: Turned in/Not turned in

  • Logic Circuit Beginnings: 7/5
  • Project Logic Gates: 2/10
  • Project Minterms: 0/12

Let me know how I can help.

If the kids have been respectful and hard working then they can enjoy this TED talk.  Please note that the total run time of the video is about 16 minutes and that class ends at 9:40.