How would you mulitply 11 times 29?

Does it matter what way you work 11 times 29 if you get the correct answer?

1. One way would be to multiply 10 times 29 which is 290 and then add another 29 which is 319.
   
2. Another way would be to multiply 11 times 30 and which is 330 and subtract one 11 to get 319.
3. Another way would be to add 11 plus 11 plus 11 ... and so on until you have done it 29 times.
4. Another way would be to use the column method. See below.
5. How about using a calculator?

Usually students are drawn towards the method that is easiest. Furthermore, students want what is easiest for them. Reviewing different methods is an excellent way to have students buy into a quicker method. So often I make the mistake of showing one way to do a problem. I think that I'm cheating some of my students when I do this because they lose out on the opportunity to add to their toolbox of methods of solutions. I think that by only showing one method, I'm sending a message that the way I cover is best, and whatever way you used to solve this problem is not as good.
So I think that I need to work harder at showing multiple methods to solve a problem. I need require my students to find multiple methods of solving a problem. At the high school level, it is more about how students are thinking to solve problems. I know they can get a solution. More importantly, how did you come up with it. Justify your thinking.
So, yes it does matter how you solved the problem. The way you solved it might just help me understand it a little bit better.

More on When Students Teach

I received an email this week from a teacher Susan McKay that gave an excellent suggestion.
She calls it "Teacher, Student Pair"

1. Separate your students into pairs
2. Have them designate one person a teacher and one person a student.
3. Now give the class a problem for the pairs to work out.
4. The designated teacher can only explain how to do the problem and the designated student can only write the solution to the problem. With these rules the pair must try to solve the problem.
5. Remember, if you have the pencil, you can't talk. If you don't have a pencil, you can talk.
6. Now give the class another problem and the pair will switch roles.

I can't wait to try this in my class. Thanks Susan!

When You Teach, You Learn

I have been a firm believer of the idea that when you teach something, you actually learn it better than you would if you just learned it traditionally. I have an example for you. A student today was explaining to another student how to find an equation of a rational function and stopped in the middle and said, "I don't know why there is a 3 in the equation." She realized that she had found the answer, yet didn't know why she had done something. In the middle of "teaching" it, she had to learn more herself. I thought, that was excellent. She taught herself by teaching someone else. Is it accountability? Maybe it is the idea that you genuinely want to help someone else do something correctly. I'm not sure. But it works.
I have been trying to have my students teach each other. Lately, when a student gets done with a math problem, I tell them they must walk around and help others arrive at the solution. By the time I have 3-4 other "teachers" helping me, the whole class catches on to the idea of the problem.
Give it a try. Students love to help others. Give it a try.

Text to Voice Lesson

I tried a matching sound lesson with my class this week. It went really well. I gave a problem like 3x + 5 -6x - 4. I made eight sounds altogether of which there were 4 matching pairs. For instance, one of the sounds was the word "coefficients". Another matching sound was the words "three and negative six". Remembering that they can't see these words. They have to hear them. I think they even have to visualize the numbers. This to me reaches a whole different set of students that are auditory learners in a visual classroom.
Structurally, I picked a student at random to come to the Smartboard and to pick two of the sounds. The student would play each sound twice and then return to their desk. I would then pick another student from the class at random. They would do the same thing. Eventually, the matching sounds would be discovered. A student would then be able to pick the pair and put them together. Success! Students were called up until all four matches were found. Give a try and let me know what you think.

I have a podcast on Smartboard Lesson Planning called Teaching with Smartboard. It is a site trying to help teachers with the integration of Smartboards into the classroom.

I last posted about a site called Hearwho.com. Since this post, the site has added a clip at the end of the MP3 file that advertises their product. This doesn't work out well in the classroom. I have found another site that I'm now using called vozme.com. It works great. Let's hope this site will continue to be free without the added advertisement.

Have a good week!

Cool Site

http://www.hearwho.com/
A colleague showed me this site and it is awesome. You just paste in some text to the site and it will change the text to a sound file in MP3 form.
You can change your text to a male or female voice (Mike or Crystal).
I see a variety of educational uses for this. Specifically for me, I can use MP3 sounds in SMARTBoard software.
I can't wait to make a lesson involving sounds with my Smartboard.

Brain Breaks

I think we all need a break from whatever we are doing at least every 25 minutes. This keeps us fresh and engaged. I know myself that I get antsy when I sit too long. I usually get up and take a walk, or find a couple minute distraction. In my classroom my students can't just get up and do that. I feel strongly that I need to create a brain break every 20-25 minutes.
I first heard about these breaks from Jean Blaydes Madigan. She has a lot of ideas about movement within the classroom. She came and did a workshop at our school and it was excellent. Since then, I have just heard of different ideas that I can use in my classroom. They have come from colleagues, speakers, or blogs. I want to hear about other peoples brain breaks so I created a website that we can do just that. It is called Brain Breaks. It is at http://brainbreaks.blogspot.com. Check it out and you can write a post as well.

"Do Hard Things" a book by Alex and Brett Harris

I have been reading an excellent book by Alex and Brett Harris called "Do Hard Things". The idea is that we have low expectations for teenagers and usually they fulfill them. However, I have been challenged in my own journey by this book to take a leap of faith and Do Hard Things. The section that I'm currently reading is "You can't get to success without risking failure". This is how we often are paralyzed by the fear of failure into doing NOTHING. I certainly can relate to that. The amazing thing about this book is that these guys are actually teenagers themselves. They are (were) 19 when they wrote the book. They are twins.

So get the book, and then Do Something Hard this Week!