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Kathy Richardson

Developing Number Concepts

This series is a complete K—3 curriculum for number operations that was designed to help young children develop an understanding of and competence in counting, number relationships, addition, subtraction, and place value.

Each of the three books in the series includes cohesive and organized sets of activities and lessons focused on particular mathematical ideas. Every concept is developed both through teacher-directed and independent activities. Because children learn at different rates and come to school with varying levels of mathematical understanding, the activities are "expandable," making it easy for teachers to differentiate their instruction. The program is an ideal intervention for math RTI programs.

This series is easy for teachers to use. Each book includes background information on the featured math concept and instructions for teaching the concept. Teachers are given questions to guide their observations of students as they use the activities and to help determine if the tasks the children are working with are appropriate and are meeting their needs. Also included are blackline masters of the activity cards needed to implement the program. Or, these can be purchased separately in class quantities either laminated or on card stock.

The Planning Guide includes yearlong teaching plans and classroom management ideas for the entire series.

Click on a tab below for additional program information:

 

Item No: 9-00592
Price: $35.95
Grades: K-3

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Book 2: Addition & Subtraction

Chapter 1: Interpreting and Symbolizing Addition and Subtraction

The activities in this chapter introduce the processes of addition and subtraction through story problems that the children act out. Because children need to learn to distinguish between the two processes, both addition and subtraction stories are included from the start in random order.

Chapter 2: Internalizing Number Combinations to 10

The activities in this chapter offer many opportunities for children to work with the number combinations to ten and to record those combinations with symbols.

Chapter 3: Developing Strategies for Adding and Subtracting

In this chapter the activities provide opportunities to apply a variety of addition and subtraction strategies. The children will be learning strategies, not through specific activities designed to develop each one but in the context of their actual problem-solving experiences. It is important that the children see the strategies as useful tools, rather than as ways they've been told to work. The independent activities are designed to give children practice adding and subtracting using a variety of strategies. The first set of activities focuses on developing strategies for numbers to ten. When children are able to work with ease with numbers to ten, they should with the activities using numbers to 20.

Item No: 9-00606
Price: $35.95
Grades: K-3

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Book 3: Place Value, Multiplication and Division

Chapter 1: Place Value

The activities in this chapter help children develop an understanding of place value concepts including forming and counting groups, recognizing patterns in the number system, organizing groups into tens and ones, and adding and subtracting two-digit numbers. The chapter is organized into three sections. Each section deals with important concepts that children must understand if they are to make sense of our number system and learn to add and subtract large numbers in a meaningful way. In each section, teachers will introduce the concept to the children through teacher-directed whole-class activities. The will provide follow-up in the form of independent activities that give children the opportunity to consider and apply these ideas for themselves.

Chapter 2: Beginning Multiplication

The activities in this chapter help children develop an understanding of beginning multiplication as they learn to recognize the process and the language of multiplication. Through the teacher-directed activities, you can help children interpret the language of multiplication, act out multiplication situations, and record the multiplication experiences. The independent activities provide children with the ongoing practice they need to become comfortable interpreting multiplication situations and solving multiplication problems.

Chapter 3: Beginning Division

Through the activities in this chapter, children develop an understanding of beginning division in ways that help them recognize the process and learn the language of division. The teacher-directed activities give children opportunities to interpret this language, act out division situations, and record their division experiences. The independent activities provide children with the ongoing practice they need in order to become comfortable interpreting division and solving division problems.

Item No: 9-59244
Price: $23.95
Grades: K-3

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Developing Number Concepts Planning Guide

This planning guide accompanies the three-book series. This planning guide includes year-long plans for teaching kindergarten through third grade as well as notes to the teacher of multi-age classes. This guide is not designed to tell classroom teachers what to teach one day at a time. Rather, it is intended to help the classroom teacher present sets of related activities, each for a period of four to eight weeks. Focusing on a particular concept for several weeks helps children to fully develop their understanding of that concept and to gain competence and facility with the mathematics they are learning. This planning guide is designed to make sure all children are given the time they need to work with particular concepts and to experience these concepts in ways that will help them make connections and see relationships. The underlying structure of the "math-time" routine, as described in this guide, gives teachers a practical, reasonable way to respond to children individually as the children work to make sense of the math they are doing.

Item No: 211171
Price: $379.00
Grades: K-3

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Item No: 2-151
Price: $150.00
Grades: K-3

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Item No: 211172
Price: $319.00
Grades: K-3

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Item No: 2-152
Price: $110.00
Grades: K-3

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Item No: 211173
Price: $229.00
Grades: K-3

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Item No: 2-153
Price: $90.00
Grades: K-3

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Developing Number Concepts Activity Cards

Laminated and Card Stock

These activity cards for Developing Number Concepts are reproduced in class quantities on heavy colored card stock and sorted by category. Zip lock bags help keep everything organized. Includes instructions.

Activity Card Set 1 - Laminated

For use with Book 1: Counting, Comparing and Pattern

619 activity cards

Activity Card Set 1 - Card Stock

For use with Book 1: Counting, Comparing and Pattern

619 activity cards

Activity Card Set 2 - Laminated

For use with Book 2: Addition and Subtraction

427 activity cards

Activity Card Set 2 - Card Stock

For use with Book 2: Addition and Subtraction

427 activity cards

Activity Card Set 3 - Laminated

For use with Book 3: Place Value, Multiplication and Division

311 activity cards

Activity Card Set 3 - Card Stock

For use with Book 3: Place Value, Multiplication and Division

311 activity cards

Item No: 210936
Price: $50.00
Grades: K-6

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Item No: 210937
Price: $40.00
Grades: K-3

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Item No: 210938
Price: $30.00
Grades: K-3

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Item No: 173025
Price: $2.95
Grades: 2-6

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Dice Kits for Developing Number Concepts

The following dice kits are available to support the activities in Developing Number Concepts. Dice are 3/4" for easy handling.

Dice Kit 1

Kit 1 Includes 50 each of the following:

  • Dot Dice 0-5
  • Dot Dice 1-6
  • Dot Dice 4-9
  • Number Dice 0-5
  • Number Dice 1-6
  • Number Dice 4-9

Dice Kit 2

Kit 2 Includes 50 each of the following:

  • Number Dice 0-4 (two 4's)
  • Number Dice 0-5
  • Number Dice 1-6
  • Number Dice 4-9
  • +/- Dice

Dice Kit 3

Kit 3 Includes 50 each of the following:

  • Number Dice 1-6
  • Number Dice 4-9
  • Tens Dice

Spinner Hands

Make your own spinners for the games in Developing Number Concepts with this set of eight plastic, snap-together spinners.

Item No: 211371
Price: $699.95
Grades: K-3

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Item No: 211372
Price: $594.95
Grades: K-3

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Item No: 211373
Price: $499.95
Grades: K-3

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Developing Number Concepts Kit - Book 1

Aligned to Book 1 in the popular Developing Number Concepts series by Kathy Richardson, this kit includes manipulatives, laminated activity cards, and DNC dice! Includes:

  • Unifix Cubes (2000)
  • Color Tiles (800)
  • Pattern Blocks (750)
  • Wooden Cubes (500)
  • Two Color Counters (400)
  • Stacking Counters (500)
  • Color Counters (400)
  • Farm Animal Counters (72)
  • Book 1 Laminated Cards (619)
  • DNC Dice - Kit 1 (300)

Developing Number Concepts Kit - Book 2

Aligned to Book 2 in the popular Developing Number Concepts series by Kathy Richardson, this kit includes manipulatives, laminated activity cards, and DNC dice! Includes:

  • Unifix Cubes (2000)
  • Color Tiles (800)
  • Pattern Blocks (750)
  • Wooden Cubes (500)
  • Book 2 Laminated Cards (427)
  • DNC Dice - Kit 2 (250)

Developing Number Concepts Kit - Book 3

Aligned to Book 3 in the popular Developing Number Concepts series by Kathy Richardson, this kit includes manipulatives, laminated activity cards, and DNC dice! Includes:

  • Unifix Cubes (2000)
  • Color Tiles (800)
  • Pattern Blocks (750)
  • Wooden Cubes (500)
  • Book 3 Laminated Cards (311)
  • DNC Dice - Kit 3 (150)

Item No: 9-00584
Price: $35.95
Grades: K-3

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Book 1: Counting, Comparing and Pattern

Chapter 1: Beginning Number Concepts

Through activities in this chapter, children develop an understanding of the beginning number concepts, including meaningful and purposeful counting. The activities help children develop a sense of conservation of number and sense of quantity and number relationships while they also develop a facility with counting.

Chapter 2: Pattern

The activities in this chapter are designed to help children develop a basic understanding of pattern concepts through a variety of ongoing experiences. Children will work with increasingly complex patterns as they make sense of pattern concepts in their own way and in their own time. They will be presented with a great variety of patterns, including patterns of rhythm, color, and arrangement. The emphasis in this chapter is on repeating patterns, but children should also explore growing patterns and number patterns.

Chapter 3: The Concepts of More and Less

The activities in this chapter help children develop an understanding of the concepts of more and less, focusing on the relationships between given quantities. Children work with these concepts at various levels, depending on their understanding. Children's early experiences focus on determining whether one quantity is more or less than another. Later, children move on to determining how many more or how many less one number is than another. The goal is for children to internalize the relationships among numbers to 10 (and later to 20) so that they "know" them without having to figure them out.


 

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