Showing posts with label teaching. Show all posts
Showing posts with label teaching. Show all posts

Saturday, November 2, 2013

Solving Math Word Problems


    One of the biggest struggles for math students each year is solving word problems – especially if they involve setting up equations.  Below I have included a few tips on successfully attacking these problems.

First: Read the problem!

This seems so obvious, but many students only read a small portion of the problem.  I believe that many students anticipate what the problem is asking and try to solve before they know all the facts.  Some students are intimidated by word problems and give up before they even read the problem. 

Second: What is the question? What does the problem want to know?

            It is hard to answer a question if you don’t know what is being asked.  The question usually is found at the end of a problem.  For example:

            Three friends go to a restaurant and spend $30 on food. The tax on the food is 5%. The friends leave a combined $5 tip.  How much will each person spend at the restaurant?
            The problem wants to know “how much each person spends at the restaurant.”

Third: Play detective and look for clues.

            What are the important pieces of information found in the problem? In the above problem we know the following information:
·         3 friends
·         Spent $30 on food
·          5% tax
·         A combined $5 tip
A very effective strategy is to highlight or underline these key pieces of information.

Friday, October 18, 2013

How thinking like an Entrepreneur made me a better teacher


 
 
            Maybe it was my first copy of Entrepreneur Magazine. Maybe it was listening to the Steve Jobs commencement address at Stanford University. Perhaps it was the first time I listened to This Week in Startups.  Somewhere I had a fundamental change in how I approached teaching.

As a middle school math teacher I have sat through my share of professional development.  The result was very little developing as a professional.  In almost every situation I left feeling like I just wasted a day of my life.  One year we were pulled out of the classroom for 8 days which resulted in a binder that I tossed in my desk – never to be used. (I did actually throw out the papers and use the binder for other things so I guess it wasn’t a total loss).

As I began to discover the entrepreneurial world my teaching mindset began to dramatically change. In the world of the entrepreneur was exciting, fast paced and constant change.  The world of education was generally boring and slow to evolve.  I wanted my educational and entrepreneurial world’s to collide.
Below are some of the different lessons I have adapted from entrepreneur world to the educational world.  Many are not Earth shaking, but it is amazing how little of this is done in education.

Begin with the end user in mind

            A successful entrepreneur will focus on the needs and wants of their customer.  What is their pain? A business must actively acquire their customers.  If you don’t provide a useful product or service they will go elsewhere.  Public schools usually don’t have this problem.  We have customers trapped in our classrooms.  As a result this allows teachers to take the customer for granted. After all, the customer is stuck with us.  We are sort of a monopoly.

              Teachers don’t have that feeling of urgency. What teachers don’t understand is that we can loss them mentally.   If your students find your product useless they are not buying what you are selling.

 You can Pivot (aka Don’t fear failure)

            If an entrepreneur is afraid to make mistakes it’s the kiss of death to any possible business.  It is not uncommon for a business to change direction (pivot) after an initial idea bombed. Teachers need to take chances and try new things. Many teachers suffer from paralysis by analysis. They are afraid to try something until everything is just perfect.  Even then they are hesitant to change.

            It is always amusing when teachers tell students not to worry about making mistakes, yet they are afraid to go out on a limb themselves.  Many of our best lessons were the result of tweaking a disastrous lesson.

Be a Shark not a Holstein (Innovate and Evolve)

            A successful entrepreneur is always on the attack.  If you are in the business world there is always competition just around the corner.  If you become soft you will be history.  The education world is more like a heard of Holstein dairy cows – happy and content to graze.

            Businesses are always looking for new markets and to strengthen existing markets. The second a business stops innovating and evolving is the moment when they become irrelevant.

            One thing we pride ourselves on as teachers is not being content with any lesson.  We do a lot of self-reflection.  Every lesson we teach could be better – what could we have done better? This mind set allows us to be on the attack.

            Another thing we do is study other great teachers.  What are they doing and how can we adopt elements of their teaching.  One thing we focus on is evolution not revolution.  Many school districts try to scrap everything they have been doing in favor of the lasted and greatest program.  We try to grab bits of different programs and make them fit our situation.

High octane work environment

            One thing that has always been appealing about startup businesses community is the incredible energy level. Work hard. Play hard. Have fun. That is the environment that I want to be part of and I believe students, in general, do too. 

            When you look at companies in Silicon Valley they are active and creative.  Sitting at a desk in silence is not a high energy work environment (there are times for this – but it should be the exception not the rule).

            Just like an entrepreneur needs to be able to “tell a good story about the company” teachers need to be able to sell their product. 

Embrace the Data

            One of the greatest changes in the last decade is the incredible availability and use of data.  Businesses use data to drive many of their business decisions.  You can never have enough data in the business world.  Teachers are also surrounded by data.  The key is use and analyze this data.  Teachers can use data to find individual and class weaknesses.  Teachers can chart student progress, guide instruction or just evaluate the success of different lesson.

Bringing it all together

            By changing how I view my job I have been able to improve as a teacher.  By focusing on your customers, not fearing failure, being innovative, and creating a high energy environment you can create a classroom that is fun and productive for you and your students. 

Todd Hawk is a middle school math teacher and the co-founder of the Land of Math website (www.landofmath.com). You can reach him at landofmath2@gmail.com or follow him on twitter: @landofmath2

Monday, August 12, 2013

Don't fall for the seduction of the 1 cent pencil




The summer is wrapping up and the school year is about ready to kick off in full force.  This is the time of the year that is filled with optimism and excitement. Everything starts over.  Students get to meet new teachers, teachers get a new batch of students and parents get a chance to regain their sanity.

Despite all these warm and cuddly feelings that surround the start of school I am dreading another yearly tradition: parents buying their kids crappy pencils.

Don’t get me wrong, I to have been seduced by the allure of the 1 cent pack of pencils at Staples (or Wal-Mart, Kmart, etc.). As a parent you feel good about making such a wise purchase. After all a pencil is just a pencil.

“No so fast my friend,” to quote Lee Corso, the legendary football analyst from College Game Day (and Director of Business Development for Dixon Ticonderoga pencil company).  Pencils are NOT all the same and it DOES make a difference.

Monday, July 15, 2013

Educations Directly Responsible Individuals



It is a beautiful day outside.  The temperature is in the mid 80’s; it’s sunny, low humidity, peaceful with a light breeze.  Most people would probably agree that this sounds like a very pleasant day.

Most of us could agree on the key factors that make up a beautiful day, but there would be a lot of debate on how to assign a value to each.

For what it is worth I would assign the following values: temperature = 40%, humidity = 20%, sunny = 20%, Breeze = 10% and Peaceful = 10%.

It is impossible to assign a value to every element that makes up a beautiful day.  Each part of the day is important and relies on the other elements to make up the day.  If just one of these elements is off (no sunshine, high humidity, etc.) the quality of the day suffers.

As silly as it is to say that a light breeze makes up 10% of a great day it’s equally silly to give different teachers a percent of a student’s success or failure.

This year the state of Ohio began the process of linking student achievement with teachers.  I am one of the biggest fans of holding people accountable.  In theory this sounds like a no-brainer, but there are a variety of problems with Ohio’s linkage system.

If students only had one math teacher this would be very easy to do.  The problems begin when students receive assistance from other teachers.  At my school nearly 50% of all students receive some sort of intervention from other teachers.

In addition to the normal regular education class, our school has a daily intervention class with two teachers, an academic assist class that meets twice a week (also two teachers) and some tutoring provided by a non-degree teaching assistance.

When it’s time to assign a percent of each student it can be confusing and very inconsistent.  Not only do school districts differ, but even teachers at the same district might use different criteria to divide up value for students.

There are many variables that can make it complicated to assign value for student growth.  The minimum a teacher can receive is 20% credit, the values must be in multiples of 10 and non-certified staff can't receive any credit for student growth.

For example, Roger is in my 2nd period math class with an intervention teacher has a daily math development class (that is team taught) and receives one period of tutoring per week.

Now we must determine who is responsible for what percent of Roger’s academic performance.  Because he was tutored by a non-certified staff member the tutor receives 0%.  The developmental class is a bit trickier because I taught it with the other math teacher.  Because the minimum a teacher can receive is 20% we each take 20% credit for Roger.  This leaves 60% to split with myself and the intervention teacher.  The intervention teacher received 20% and I received an additional 40%.

The final totals:

          60% Regular Education teacher

          20% Intervention teacher

          20% Other math teacher

          0%   Tutor

As a side note: A school 30 minutes down the road gives the regular education teacher the full 100%.  All other teachers (intervention, gifted, etc.) receive no credit.

I love holding myself and others accountable for productivity.  I admire Apple’s (the computer company not the bribe to a teacher) Directly Responsible Individual (DRI) practice in which an action list is created for every task and a person (the DRI) is listed next to it.  I certainly believe Apple’s DRI Model can be very effective when applied to education.  Linking student performance to teachers is Ohio’s attempt to incorporate a version of the DRI Model.

Despite my admiration of the Directly Responsible Individual Model I have some major concerns about how Ohio is implementing Linkage.

Creating a culture of Covering Your Ass (CYA) vs. Building Effective Teams (BETS)

As in most aspects of society teachers will quickly learn ways to game the system.  Linkage will encourage teachers to take care of themselves instead of making sacrifices to help the team.

Teachers will begin to study the types of students that will give them the greatest chance to achieve growth.  In most cases it will be the highest performing students.  There will then begin a recruiting process among teachers.  If your school ability groups there will be wide spread competition for the better groups.  No teacher is going to want to get the students that struggle to show growth.

Determining the percentage each teacher receives will create uncomfortable situations for the teachers.  At our school it is up to individual teachers to determine who gets what percent.  An intervention teacher in 6th grade might receive 30% while the 8th grade teacher might receive 50%.  An intervention teacher receiving only 20% might feel bitterness toward the person they are working with.

Teachers are going to be less likely to work with students that struggle to show growth during intervention classes or tutoring.  At our school a few students in our developmental class were from the resource class.  Even though we never had these students in regular class our mindset was to help any kids that needed extra assistance.  We knew that there was a good chance that these student’s scores would drag down our individual performance, but we wanted to help the 7th grade as a whole.  There are many teachers that will not want to take on additional students with a high probability of failing the state test.

Some schools in Ohio have a financial reward for teachers based on student growth.  In theory this sounds like a great thing, but it’s another way to create staff friction.  The teachers that work with the weaker students will more than likely receive smaller bonuses. In addition, teachers in subjects like social studies, science and computers will have no opportunity to receive these bonuses. 

Another source of possible friction is teacher evaluations.  A large part of a math (and language arts) teacher’s evaluation comes from the student growth on state test. Other subjects just make up their own assessments.  These other teachers have a much greater chance of showing growth.

Teachers are also going to become even more reluctant to accept student teachers.  The only way for future teachers to improve is to actually teach a class and learn from their mistakes.  The more experience the better the future teachers will become. But with teacher evaluations, student growth and possible bonuses on the line fewer teachers are going to be willing to give up their classroom to student teachers.

As a side note: Mount Vernon Nazarene University in Ohio has changed their student teacher program.  The students will team teach with the regular classroom teacher, instead of going solo.

The Missing Directly Responsible Individuals

Even though I have my concerns with Ohio’s Linkage system I think in general it’s a step in the right direction.  I believe the more you blend Apple’s Directly Responsible Individual (DRI) Model into education it will lead to greater things. If it was more consistent and put a greater emphasis on teaching teams I think it could have more success.

The two key missing components in the whole accountability process are the parents and students.  You can develop the greatest lesson plans, care about the students, create a warm inviting environment, and be an expert in mathematics.  Ultimately, if the parent and student don’t care there is a limit to what the teacher can do.

The student is his own personal product manager.  The student has thirteen years of education to develop his personal product.  Along the way there are many people that will have key jobs in the students (the product) development.  But in the end it’s the student that is the Directly Responsible Individual.

Todd Hawk is a middle school math teacher and the co-founder of the Land of Math website (www.landofmath.com). You can reach him at landofmath2@gmail.com or follow him on twitter: @landofmath2.

Monday, July 1, 2013

Math education and Loyola Marymount basketball - it's more than running the system


Success in Math and Basketball - It's about talent



In the early 1990’s I coached basketball at Lewis and Clark College in Portland, Oregon for the legendary Bob Gaillard.  Coach Gaillard was a former head coach at the University of San Francisco when they were a major power house.   He had numerous teams qualify for the NCAA tournament and in 1977 he was selected the National Coach of the Year (UPI).  Needless to say the man knew hoops.

During this time Loyola Marymount (Los Angeles) was the talk of the college basketball world.  They had a Run-and-Gun style that racked up huge point totals (122 points per game).  They were led by stars Hank Gathers and Bo Kimble.  The team had a simple motto: Run the System.

As a young coach I loved their system.  I watched games on television, attended a game at the University of Portland and went to  a coaching clinic with Paul Westhead, LMU’s head coach.

As a side note: I nearly ran over coach Westhead as he was jogging in the parking lot before the coach’s clinic.

One day I was professing my admiration for the Loyola Marymount System to coach Gaillard.  Coach was not impressed by the system, but he was instead impressed with the talented players and coaches.  He felt that with their talent, LMU would have been very successful regardless of the system.

Loyola would have had two players selected in the first round of the NBA draft, but sadly Hank Gathers died of a heart attack during the last regular season basketball game.

What does Loyal Marymount University basketball system have to do with math?  It’s all about the system.

It seems every year we are introduced to some new system/program.  There is always some award winning teacher that talks about how this is the greatest system since sliced bread.

 Sliced bread was invented in 1928 by Otto Frederick Rohwedder and first used by a baker in Chillicothe, Missouri.  It first hit the shelf July 7, 1928. Not sure of the greatest invention before July 6, 1928.

Why do we have so many new programs?  Because there are teachers, grade levels and/or schools that are struggling.  The problem must be a broken system.

Every time a new program is introduced the same thing occurs:
  • Teachers grumble about the new changes
  • Administration talks about how this is not some fad, but the way we are going to teach. 
This is one of my personal favorite lines (or some version of it).  This is usually given either as an opening manifesto or stated when the administration senses the teachers are disgruntled. I realize the principal has to say this, but it’s still amusing to watch it unfold. 
  • There is a series of professional development complete with power point presentations and nifty new binders.
  • Teachers then begin to implement the new system.

And then…

…it’s usually more to the same.  The good teachers, grade levels and schools continue to thrive while the struggling teachers, grade levels, and/or schools continue to struggle.

Why? It’s not about the system.  The key is the talent.  In the case of education it’s the teacher.  As a teacher I have seen a variety of math and/or teaching programs.  A few were absolute duds, a yet some of the teachers still thrived with these flawed programs.

The best teachers pick the best items from each system and blend it into their own personal system.  Some teachers that struggle often rely on the new system to be their sole guide.  The difference between the excellent teacher and the struggling teacher is often the comfort level in the topic being taught.  The top teachers are comfortable with their knowledge of math and the students they teach.  This comfort allows these teachers to adapt and not adopt when new systems are introduced.

It seems to me that schools would better serve the students by increasing the knowledge and comfort of the teachers.

Todd Hawk is a middle school math teacher and the co-founder of the Land of Math website (www.landofmath.com). You can reach him at landofmath2@gmail.com or follow him on twitter: @landofmath2.