Why are Non-Examples Important in Education?

Why are Non-Examples Important?

Every year when I begin using Frayer Models for vocabulary I have to teach what non-examples are to my students. Students are used to working in a world of creating examples and rationales behind their learning but not defining what their learning isn’t.

What is a Non-Example?

A Non-Example is simply helps define a new term in it’s entirety using the characteristics that are given and determine what the term is not.

Let’s take the word proportional…

Proportion Frayer Model

Based on the definition and characteristics given by my students it is very easy to see that to create something that is proportional both sides must be equivalent. As you can see in creating a non-example the students created a proportion that did not become equal when cross-multiplied.

Starting lessons with examples and non-examples helps to build a foundation and clear up concepts before you get too deep into the learning. When students don’t start with a foundation of what a term or concept is they can continue to focus on that term and miss out on other key material. For my teaching this was a critical comprehension step for many of my students.

While speaking with some other teachers about using Non-Examples in their classrooms I received some great opinions.

NonExamples_Jameson

As you can see from these teachers, as well as my experiences, using non-examples is something that we need to do in our classrooms. Non-examples don’t always have to be done in the form of a vocabulary definition. Another way to use them is through a concept sort or Venn diagram. What is one thing? What is another thing? Why is it that way? Get students talking about why they think something can be classified in one area and why not in another.

Function Sort
Non-Function Sort

How do you use non-examples in your classroom? Do you struggle with student’s understanding of what something isn’t? Let’s discuss in the comments.

And, if you are looking for further ways to use Examples and Non-Examples in your classroom, check out the Examples and Non-Examples post over at It’s Academic Tutoring Center’s blog as they give some great insight on how using these techniques can help the foundations of learning.

Success in Secondary October Linky Party

Success in Secondary Linky Party

How is your school year going? Are you working through the first semester and realizing you have already made it over half way through? Are you on fall break? Looking forward to the Thanksgiving holidays?

Well wherever you are in your semester I hope that you take time to share in some of the fun below and view or download some of the great items that teachers are linking up. If you are ever looking for something, leave a comment and I will put a word out to my teachers to link it up JUST FOR YOU!

Now, for the rules of the linky party. This month I’m going to keep it at 1:1 meaning that for every FREE item you post you can post a PAID item. You MUST post the FREE item first and make sure it says FREE in the title. FREE can also be a blog post full of great content and simply put BLOG in the beginning.

Ex: FREE Owl-Some Order of Operations

BLOG: What Really is an Interactive Notebook

PAID: Algebra 1 Exponents Interactive Notebook

So link up below! And don’t forget to pin this post so others can find it as well! We would love for you to join our Success in Secondary Pinterest Board as well.

A Pinterest Board geared for Grades 6th-12th; contains all subjects

A Pinterest Board geared for Grades 6th-12th; contains all subjects

 

15 Spook-tastic Halloween Activities!

15 Spooktastic Halloween Activities

I couldn’t help myself, after the 5 Fab Fall Freebies for Math round-up, I had to do one for Halloween too! Turns out, there’s a crazy amount of Halloween activities out there – freebies, book lists, art projects, and more! So grab a pumpkin spice latte, we’re going to be here awhile! Don’t have the time? Just pin this post for later!

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Owl-Some Order of Operations

Corny Proportions Activity

Corny Proportions Activity

Fall Themed Printable Packet- Alphabet, Numbers & Patterns

Fall Themed Printable Packet- Alphabet, Numbers & Patterns

Pumpkin Book Report Freebie

Pumpkin Book Report Freebie

Fact Family Haunted House

Fact Family Haunted House

Popular Pumpkin Picture Books

Popular Pumpkin Picture Books

Halloween Ice Play

Halloween Ice Play

Favorite Pumpkin Books For Kids

Favorite Pumpkin Books For Kids

Halloween/Fall/Pumpkin Oil Pastel Resistant Art Project

Halloween/Fall/Pumpkin Oil Pastel Resistant Art Project

DIY Pumpkin Place Value Game

DIY Pumpkin Place Value Game

Halloween Printables: Candy Corn Counting

Halloween Printables: Candy Corn Counting

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8 Educational Halloween Printables for Kids!

Free Printable – Halloween Word Search

Free Printable – Halloween Word Search

Halloween Books for Kids of All Ages

Halloween Books for Kids of All Ages

Five Little Pumpkins: Playdough Play Retelling Activity

Five Little Pumpkins: Playdough Play Retelling Activity

Strategies in Math: Clustering Decimals for Addition or Subtraction

Every few weeks I will receive a question from teachers and parents alike about how to use the strategy of clustering to help with addition and subtraction of decimals. This strategy correlates to the Common Core State Standards for Sixth Grade (6.NS.3) and the Texas Essential Knowledge and Skills Standards for Seventh Grade (7.3 of the new 2014 standards).

Clustering is most simply defined as a bringing together of a close group of numbers. It is important for students to know that clustering decimals can only be done if the set of decimals are centered around the same whole number.

Ex: 7.3 + 6.97 +7.21 =???
You would round each addend to 7 and multiply by 3 to get the estimate of 21 for the answer.
Clustering and Front End Estimation for Decimals
When it comes to working further with estimation strategies of decimals, you should also add in Front End Estimation. Both of these strategies are useful when working with decimals and they each have their own place. With this flippable students are able to not only keep track of the steps to follow with each but an example for each as well.
Steps for Clustering and Front End Estimation with Decimals
Each of these strategies are useful for addition as well as subtraction but need to be laid out for students. I would say that I use Front End Estimation a lot when I am working with decimals in the real world because I know that I can round the whole numbers and then go from there. It is definitely a great thing when you are out shopping and you are buying something that is $2.69 and you want 4 of them but need to make sure you are within budget.
Estimation Word Problem
One thing I added to this Interactive Notebook lesson was the reflection word problem. I wanted students to choose from the strategies to determine the appropriate one for finding their solution on top of actually solving the problem. As well as choosing their strategy I wanted them to give reasoning behind why they made that choice.
Adding and Subtracting Decimals
This lesson for Adding and Subtracting Decimals is available in my 6th Grade Number System Unit, 6th Grade Math Interactive Notebook Bundle and 7th Grade Math Interactive Notebook Bundle.

What I’m Working On: October 3-10

A few of you noticed that I missed a What I’m Working On post! It’s been pretty hectic, one example was last night – I just barely made it home from my workshop in North Georgia. My flight two and a half hour flight turned into four hours to get around the crazy storm that hit the region yesterday. When I finally landed at DFW, we learned that eastbound flights were sitting on the tarmac for over seven hours! It’s a good thing I got home, I had a workshop in San Antonio yesterday plus lots of work to catch up on. Here’s this week’s to-do list:

What I'm Working On

If you haven’t grabbed the Math Teachers of TpT CD Bundle, do it now! We under estimated how many CDs were available, so there’s a few left to grab before I ship them out on Monday.