Lattice Method of Multiplication

 
 
 
 
 
Math 

Matters

By: Ginger Stiner

One of the best things about math is that there is more than one way to solve a problem!  This creates critical thinkers.  In order to teach math accurately I will need to be aware of and comfortable with several methods of computation.  

An algorithm is the process used to solve a problem.

One algorithm for multiplication is the

Lattice Method of Multiplication.

This is one method that was discussed in my Teaching Math class this week, and one that I want to be sure to remember!

I will teach my students that in math a LATTICE is a box with squares and diagonals that is used for multiplication.

This is what it looks like:

I will explain that the number of digits in the factors being multiplied together will determine the size of the box they will create.  

After demonstrating how to decide the size of the box I will make the diagonal lines that are the final requirement of the set-up of the lattice. 

Once the lattice has been constructed, the numbers will need to be plugged in at the top and along the side in order to begin the multiplication process.

Students will need to be aware of place value in order to put the answers in the correct triangle that was created by the diagonal lines. 

Once all multiplication is complete, addition must take place along the diagonal lines supplying one digit at a time for the solution.

This video shows the Lattice Method of Multiplication:

Cooperative Learning Approach

Math

 Matters
By: Ginger Stiner  

Cooperative Learning Approach

Wow!  My time as a student in this math coarse through Central Lakes College is moving fast!  Weeks seem to be meshing together and flying by me.  I recognize my need to become more familiar with methods of math instruction.  I have decided to use all kinds of manipulatives in my classroom, both hands-on and virtual.

I have begun to visualize what my class will look and sound like during math lessons.  For math instruction to matter it needs to be memorable.  As a teacher I must dig deeper than worksheets!

Now, worksheets are not all bad, they certainly have their place in a balanced lesson.

One approach to Math instruction is Cooperative Learning. 

What?

What is cooperative learning?

Cooperative learning is placing students in groups to work together toward a common learning goal.

I never really thought of using this approach with math instruction.  I think that is because the math teaching that I received was more teacher-centered. 

This is what cooperative learning looks like:

Why?

Why use the cooperative learning method for math instruction?

·     Students who don’t usually play or talk to each other can work together.

·     Having a common goal unites people.

·     Students learn to communicate by expressing their ideas.

·     They learn responsibility by meeting pre-assigned learning goals.

·     They can help each other and further each other’s knowledge.

When?

When should the cooperative learning model be used?

This approach can be taken with small groups of two or three students using manipulatives or as a review before assessments.

Classrooms are busy places and real learning can get “messy” and “loud.”  The environment of the classroom matters.  It makes a difference in how much content is covered, and more importantly how much is retained.  That’s what matters!

More on Manipulatives!

Math Matters

By: Ginger Stiner

 More on Math Manipulatives!

The more I learn about manipulatives the more I see them as essential in the constructivist classroom.

Where?

Where can one find these useful teaching and learning tools?

A couple great sites to start shopping:

·     Shop By Category!

· Hand2Mind site

Not all manipulatives are handled through physical touch, but can have a powerful impact.

I want to remember as a teacher that my curriculum must be relevant for it to matter to my students, math instruction is no different!

One relevant way for students to become fully engaged in math is through the use of emanipulatives.

Online Manipulatives

What?

What are emanipulatives?

Emanipulatives are a part of websites and software that allow students to interact with math concepts virtually.  Through the use of this technology students receive instant feedback about the way they solve problems.

Who?

Who would learn through emanipulatives?

All students could benefit from the inclusion of online math manipulatives.  This is a creative outlet for students as they begin to construct their personal understandings of mathematical concepts and they are FUN!

Where?

Where are the websites to try?  Here is a one-stop list of some great websites dedicated to making math come alive in the eyes of students!

I want to remember these websites as great resources for virtual manipulatives, so that I can familiarize myself and my students with many avenues to making math real.  When students see the value of math in everyday life it begins to matter and that is my goal as a math instructor.

·     http://www.eduplace.com/kids/mw/manip/mn_2.html

·     http://www.glencoe.com/sites/common_assets/mathematics/ebook_assets/vmf/VMF-Interface.html

·     http://www.keycurriculum.com/products/sketchpad -This is Geometers Sketchpad- It’s amazing!  The things students can learn and do are practically limitless! This site is a MUST!

The world of math is fascinating and it is out there to be discovered!