Archive forMath

Google Earth- Virtual Trips Around the World

Earth.jpgThis is waycool2.gifGoogle Earth is free, works on both Macs and PCs, and takes only a couple of minutes to download from the Google Earth Web site. With a magnification tool powerful enough to complete one continuous zoom from an altitude of 38,000 miles to as low as 25 feet, and an ever-expanding network of related resources, it’s a practically limitless teaching tool!!

On the most superficial level, Google Earth can teach students about geography, distance (MATH), and topography. Starting from the basic Google Earth interface, students can type in any location on the computer.  They can save their favorite places by using a “placemark.”  Students usually start small…they type in their address or school.  They notice the rivers, roads, houses, and other things in the surrounding area.  You can listen to students share there traveling experiences with one another, where they would like to go, and things they would like to discover.

That is the beauty of it. Looking at the world with this much scope and detail, it’s hard not to notice, for instance, that cities are often nestled in the bends of rivers, between mountains, near airports etc.

“It has kids make realizations based on observations they make,” says Aidan Chopra, an education program manager at Google, “and that’s really the gold standard in education. There are no conclusions in Google Earth; there are trillions of pieces of information out there that students can use to form their own conclusions. A good teacher can then build on those observations and guide them to meet the class’s learning objectives.”

Almost any academic subject has a connection to geography, Chopra adds. “If I were teaching literature,” he says, “I wouldn’t just have the students write essays about what they’d read; I would have them create placemarks, maybe make an audiovisual tour of where the events took place, to give them some concreteness. Let’s map out Paul Revere’s ride. Where did these Civil War battles take place? What distinguished Northern geography from the South?”

For students who don’t respond well to verbal information, Google Earth creates a new kind of classwork and problem-solving method. “Say you’re doing a section on distance and you’re learning miles per hour and systems of measurement,” says Chopra. “You can give a kid a word problem and say, ‘A train went 6 miles in three hours; how fast was it going?’ Other kids might want to make a diagram. So I might say, ‘Go to Paris, and measure the Champs Elysées. Now, find out how long it took Lance Armstrong to do the Tour de France, and then tell me, how long would it take him to get down the Champs Elysées?’”

And when those few precious educational dollars are spent, Doering adds, it’s critical to keep looking forward. “Where should we invest our money?” he asks. “Should we invest it in textbooks, so that students will have access to outdated information a year from now? We need to invest in what is going to provide students with the tools that they will need in the future. And we need to invest in pedagogy to enable teachers to use them.”

Google Earth
Here’s where you can download Google Earth and find out more about its capabilities.   

Google Earth Blog
The place to find out about the latest layers and ways to connect current events with Google Earth.  Explore Your Earth
Scholastic’s Explore Your Earth lesson plans use Google Earth to teach environmental subjects such as global warming.   

Google Earth Resources for Geography Teachers
A wealth of Web sites that will help enrich the Google Earth experience for you and your students, plus handy tips.

SketchUp
SketchUp, another new, classroom-friendly (and free) application from Google, allows students to make three-dimensional models and, in combination with Google Earth, explore the world in 3-D.

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Response to Traditional Teachings of Math and Technology

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I recently presented at a workshop on Math and Technology Integration.  The beliefs of the teachers present ranged from “traditional beliefs” to “I’m mixed”, to “Constructivism,” to “I’m not sure what I really believe.”  As teachers, we should have a solid, firm belief on the reasons why we teach the way we do.  Not to mention that the teachers’ beliefs about math/technology can and does have an impact on both their teaching and their students’ beliefs.  A childs’ affective domain (belief, attitudes, and emotions) is (to some degree) in the hands of teachers.  

After attending a workshop myself on the Future of Math and listening to how important it is for our children to be prepared for middle school and high school, I asked myself…what about the students NOW?   How they act/believe in the future (outcome) is what their attitude/belief and emotions are at a younger age (usually).  As a parent, I want my child to understand the math when he sits behind a computer so he can explain and intrepret his data/graph. I started my presentation from this perspective. How do your students feel about math now?  Are they confident?  Do they see the importance of math?  Are they afraid of it?  Frustrated?  I asked my son to type why he thought math was important/what he needs math for and how he uses it.  (Why Math Is Important To Me.doc )  Once I went over his thoughts, I explained that he feels confident in what he is doing…not always right but not afraid.   Because of this, his effort, motivation, and ability will present itself in his achievement.  If students are expected to memorize and play software games that are drill and practice, they are seeing someone else’s perspective.  They have not created or constructed their own.  Therefore, they have not made math connections to their lives.  Once a student has acquired an understanding for certain standards/lessons/concepts, then technology can be used for solving problems.  At this point, students become more mathematically empowered and gain a confidence that students may never achieve in a traditional math classroom.  Technology also provides a means for students to create, adapt, and experiment with representation in order to develop and communicate their knowledge.  Students need to communicate their mathematically understading constantly.

As much as I love technology…math is not always about calculators and computers. 

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Teachers who EXCEL

Why teachers should learn Excel…

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  • Integrates real life situations with technology
  • Increases communication and motivation
  • Supports many levels
  • Engages students in higher level thinking skills for mathematics
  • Supports principles and standards
  • Applies to cross-curricular activities
  • Is a great management tool
  • Compliments and enhances instruction

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Response to Math and Technology

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I totally disagree… there is a place for technology in the math classrooms.  However, have been a math teacher myself, I know that the use of technology should not eliminate a student’s need to understanding mathematics.  Yes, I do believe that students need math taught separately and opportunities to construct their own mathematical knowledge before sitting in front of a computer or calculator.
The misconception here is that some teachers are not aware of how to do this.  Just because you use technology and math in the same sentence does not automatically mean using calculators and a computer to generate answers.  I think a very important part of this is looking at the method/philosophy of the teacher.  I know that “technology” does not produce the same cognitive result as actually learning the meaning/patterns/and relationships with numbers in math. Just because a student can produce the answer to 43+26 on a spreadsheet does not mean he or she has mastered double-digit addition. Technology is not a crutch allowing students to avoid understanding. It is to be a tool that enhances understanding.  

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Technology and Math

MathInitiatives.gifIMPACT OF TECHNOLOGY IN A MATH CLASSROOM

After talking with several math teachers (good friends) about how much technology they use in their classroom, I had to ask what they were doing…I was curious. However, I was not surprised by their answers. All three teachers named various software programs, which I have stated before is not bad …but…
drill and practice software can only be effective when used properly in a constructivist manner and only after students have an understanding of the problem at hand.  We all know that math is based upon laws, theorems, and algorithms. I think pressing a button and the computer giving the answer doesn’t help students’ understanding of what mathematics is all about. If this is what your students are doing in the classroom, they are getting the impression that mathematics understanding can be gained by pushing a button that generates all of this information.
I came across a study on the impact of technology use “in a constructivist…mathematics classroom”.
The summary of the findings in this study were given in the following order:
First, technology must be tightly linked to the constructivist instructional philosophy.
Second, having a computer present in the classroom and using it is no guarantee that the student will develop meaningful constructs. “Technology should be used as a tool for student use in creating their own, personally, meaningful, representations”(p.333). 
And finally, the student must have the opportunity to instruct the computer. This allows the computer to “serve as an active critic of the students’ work”(p.323). 

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