# Guided Math Introduction

## Factors and Multiples: Getting into the CCSS 4th Grade Standards (Math Centers and Guided Math Activities)

Factors and Multiples trip kids up!  Teach it throughout the year.  Integrate it into your daily routines…find the factors and the multiples of the number of the day… Also, set up some of the games in your computer center.  Furthermore, do different math activities. The activities listed below can be used in guided math lessons as well as guided math centers. Here are some ways to get started:

Game 1

Game 2

Game 3

Great Activities & Powerpoints  (Scroll Down)

More Activities

Another Activity

Anchor Chart

Happy Mathing,

Dr. Nicki

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## Math Resource Bank

Here is a wide variety of math resources by standards.  Rockingham school district has found a very interesting and helpful way to set up a resource bank.

Happy Mathing,

Dr. Nicki

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## Beyond Answer Getting: Guided Math Group Work

Here is a must see video by Phil Daro on the need to teach our students more than “answer-getting” (click on the second tab at the top).   Guided math groups is a space to help students really talk about the math they are learning. You want to guide conversations, guide conceptual understanding, guide procedural fluency and guide strategic competence building in a small, comfortable, academically rigorous learning situation.  Three key elements of guided math group work:

1.  Time to talk (each person gets to explain their mathematical thinking and their understanding of the thinking of others)

2.  Time to listen (each person gets an opportunity to focus and try to comprehend the math that we are speaking about)

3.  Time to practice (with the help of each other and the teacher, students will practice the math)

Whether you are working at the concrete, pictorial or abstract level, students need to know what the math is that they are working on.  This should be explicit. We all have to seriously consider what it means to teach math and not answer-getting.

Happy Mathing,

Dr. Nicki

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## Scaffolding is the Key! Small Guided Math Groups is the Place!

Josh Rappaport wrote an excellent piece on scaffolding.  He notes that

“No one would attempt to climb Mount Everest in a day. But when we teach math, we often expect something similar from students. We expect them to learn a complex, multi-step process in one lesson, in one hour. We expect them to go from no awareness of the process, to awareness to competence to mastery. And we don’t take account of the fact that many math process[es] require a long ladder of thought steps. In edu-jargon, this process of taking all of the little steps into account — and teaching each step individually — is called “scaffolding.” ”

This is a brillant metaphor.  See his whole post.

Guided math groups are an essential part of the “scaffolding” process.  In a guided math group you can listen to students talk, you can watch them do the math and give immediate feedback and you can do some direct instruction as well.

I encourage us all to think about “How tall are those ladders we are using in math class?”

Happy Mathing,

Dr. Nicki

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## Great Free Games for Math Centers and Guided Math Groups

Look at these pages!  Be sure to check out the boardgames and the math puzzles!

Happy Mathing,

Dr. Nicki

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## More Base Ten Block Magic: Building Understanding One Block at a Time in Guided Math Groups

See these great resources to teach operations with base ten blocks in small guided math groups!

Visualizing Algorithms

Exploring Decimals

Visualizing Multi-digit Multiplication

Picturing Multiplication

Happy Mathing,

Dr. Nicki

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## The Magic of Base Ten Blocks: Develop Conceptual Understanding in Guided Math Groups

This is  a great site that shows you how to use base ten blocks to develop conceptual understanding of the operations.  I would do all of these activities with the students in small guided math groups with real base ten blocks. I would then hold small guided math sessions at the computer so I could use this site to teach at the pictorial level.  Finally, I would have the students work with this site during center time.

Happy Mathing,

Dr. Nicki

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## More about Bar Diagramming: Great Strategies to Teach In Guided Math Groups

Here are 5 good resources that teach you how to use bar diagramming to work out word problems. Pull your students in guided math groups and begin to teach them how to diagram out problems.  Give each group problems that are appropriate for their learning level.  They do this in Singapore, which has some of the highest math scores in the world.  Bar diagramming gets students to focus on the relationships in the problem instead of just heading straight for an operation.

Resource 1

Resource 2

Resource 3

Resource 4

Resource 5 (good pdf on division in general and the first part discusses bar diagramming in particular)

Happy Mathing,

Dr. Nicki

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## Using Math Foldables: Great Math Center and Guided Math Activities

Foldable books can be a great tool for helping students to  organize, display, and arrange information, so that they can practice and master the math they are learning.   Dinah Zike  does some excellent work with foldable books.  Here is a great site that talks about her ideas for math foldable books. Here is a great website with some step by step picture instructions/examples  by Carol DeFreese (scroll down to the middle of the page). Carol has also provided blank foldable templates so you can create your own foldables.  Here is another website with pictures of students’ foldable projects.  Here is a multiplication foldable.  Here is another resource for different types of foldable books. Here is a geometry study unit with foldables for middle school and high school topics.

References:

Intro to foldables

Happy Mathing,

Dr. Nicki

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## More Math Vocabulary Strategies! Do these in Guided Math Groups

Math Vocabulary Strategies:

Frayer Model; Semantic Feature Analysis Grid/Concept Definition; Semantic Map; Word Sort; Word Walls/ Games

http://www.aea1.k12.ia.us/math/mathvocab.html#Anchor-Frayer-49575

Math Vocabulary Bingo

http://illuminations.nctm.org/LessonDetail.aspx?id=L806

Math Vocabulary Notebook Template

http://jc-schools.net/tutorials/vocab/notebook-vocab.pdf

Academic Vocabulary Games (some interesting ideas and templates)

Happy Mathing,

Dr. Nicki

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