# DMG Blog

## Now on Facebook

24 August, 2012

We launched our Facebook page.  Please visit and "Like" us!

Our first article was:

As school begins, remember to have children talk about math on a daily basis.
Each week, we will write activities that can be done with young children.
Have children count out loud as you are driving in the car or walking home from school or being in the classroom. Have them count starting with different numbers. Listen to hear if the words are in the correct order.
To begin the year:
Prekinde
rgarten- Count up to 10

Kindergarten - Count up to 20. Listen for those tricky numbers from 11-20.

Grade 1 - Count up to 100. Start with different numbers. Listen for counting through the decade numbers (27, 28, 29...30)
Grade 2 - Count up to 120. Start with different numbers. Listen for counting past 100 (110, 111, 112 etc.)

## New Products now available

29 June, 2012

Debra and I have added three new place and value boards to our collection.

The first mat builds the understanding of  hundreds, tens and ones. This two-sided dry erase mat can be used with our small ten frame pieces found on the CD in the Number Concept Activity Book or base-ten blocks.  This helps the child make the connection with the words, symbol and quantity of numbers in the hundreds.

The second mat builds the understanding of hundredths, tenths and whole numbers.  This mat can stand alone or be combined with the first mat to show how our base-ten system is built.  The two-sided mat has decimals on one side and fractional representation on the other.

The third mat builds the understanding of thousandths, hundredths, tenths and whole numbers.  Again this mat can stand alone or be combined with the first mat to build the understanding of our base-ten system.  The two-sided mat has decimal on one side and fractional representation on the other.

The new Common Core practices require students and teachers to use appropriate materials for students to learn different concepts.  We believe these mats would make a great addition to the classroom.  They help students connect words, symbols and quantity.

## Common Core State Standards for Mathematics Workshops

17 May, 2012

Common Core State Standards for Mathematics Workshops

Grade level workshops have been designed for grades K-3.

The workshops begin with an introduction to the eight practices that are to be integrated into the teaching of the grade level content.  The practices are introduced using teacher friendly language and using appropriate grade level examples and activities.  The practices are mentioned and used throughout the workshops.

All the standards are introduced with examples or activities.

DMG suggests having a workshop for each grade level since there are new standards at each grade level and not the repetition found in previous standards. We have combined grade one with grade two in the past.  This works but is not as effective as having them alone. There are new things at each grade level and it is difficult to get it all covered.

At the end of a grade level CCSSM workshop, teachers will know exactly what they are required to teach and they will have activities and resources to use.

Kindergarten

The standards are organized into the framework of word, quantity, symbol, and relationships. The practices are integrated into the content. Four types of situations for addition and subtraction are introduced.

The foundation for place and value is set with learning about the value of teen numbers as ten ones and some more.  First grade is the first time students begin to think of ten ones as one ten.

Number is the most important topic in kindergarten but there are standards for measurement, data and geometry, these are covered in the workshop.

The workshop covers developing understanding of addition and subtraction, place value, linear measurement and reasoning about attributes of, and composing and decomposing geometric shapes.  Time is spent on developing strategies for learning the basic facts using ten and double ten frames and solving word problems involving situations using mats. Strategies for adding within a hundred will be presented using algorithms based on place value and the empty number line. An eight step method for developing place value concepts will be presented. Resources used are the 99/100 board, grouping materials, small ten frames, place value mats and games.

The focus is on extending understanding of place value using an eight step method and hands on resources: 99/100 board, grouping materials, small ten frames, base ten blocks and place and value mats. Another focus is building fluency with addition and subtraction within a hundred and solving problems within 1000 using models such as number lines and pre-grouped materials.

Using standard units of measure and describing and analyzing shapes will be covered.

Focus is on developing understanding of multiplication and division, fractions, and the structure of rectangular arrays and of area, and describing and analyzing two- dimensional figures.

Strategies for learning basic facts for multiplication and division will be introduced along with an algorithm based on place and value.

The place value steps will be reviewed.  Resources used are base ten models, 99/100 Board, number lines, fraction models, and array models.

## National Conference in Philadelphia

23 April, 2012

Debra and I are off tomorrow to attend the NCTM (National Council of Teachers of Mathematics) Conference.  We will be both presenting and exhibiting.  We are excited to share our knowledge with other teachers who have a passion to help children in their learning of mathematics.  We will have an e-workshop on Thursday where we will present all of our products to those who attend.  Friday, will be a gallery workshop where teachers will be working with our materials and will have the opportunity to take samples with them.  On Saturday, our focus will be on Place and Value with what we consider to be eight essential steps to helping teach place and value to young students.

If you are in Philadelphia, please stop by our booth (1040) and say hi.  We would love to chat about our assessment and materials we have produced to help the young student and those that struggle with math.

## OAEYC

21 April, 2012

Debra and I had a great three days at the Columbus Convention Center sharing our products with preschool teachers.  We now have mats to use with the Bears and Chairs.  We have created five different mats.  The first is a game to help young children with counting, one-to-one correspondence and cardinality.  We have a two-sided mat with five beds on one side and ten beds on the other.  Children take the bears and use them to place in the beds.  We are helping the young child see the relationship to five and ten.  Our second mat is a play mat that can be used to retell the story of "The Three Bears."  The next three mats were created so young children from pre-kindergarten through grade two can work on problem solving by acting out the story.  We have a cave, table and zoo mat.  These mats are two-sided and can be used to help students with all of the different types of addition and subtraction problems that are listed in the new Common Core Standards.

Check our product page to see what they look like.

We are off to Philadelphia next week to share our products with teachers who will be at the NCTM conference.

## Professional Development on Number Concepts and new Common Core

15 April, 2012

We have been very busy spreading the word about developing number concepts with the young student.  We have been doing either two or three day training sessions with make and take for the teacher so he or she can go back into the classroom with some tools to use.

We have also been in districts helping them learn about the new Common Core.  We have done a full day on the practices and another half day on the different types of problems in addition, subtraction, multiplication and division.  We have also helped districts look at what is new to each grade level and what can be moved or eliminated.   This has been well received by the teachers.

If you have questions and/or are interested in knowing more about training, please email us for information.  dmg6@mac.com