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Grade Level:

Welcome to NUMBERS

NUMBERS is an interactive, hands-on mathematics professional development offering for elementary and middle school math teachers. Research-validated findings have been integrated into the program along with numerous strategies and best practices to meet the expectations of rigorous state standards.

NUMBERS provides professional development and support related to the instructional planning, assessment, and differentiation specific to state and national math standards for elementary and middle school students.

  • Helps students develop and apply conceptual knowledge
  • Fosters meaningful classroom discussions
  • Incorporates more problem solving, including high-level tasks
  • Helps educators become better consumers of classroom instructional materials and to use them more effectively
NUMBERS features
Delivering professional development to meet today’s rigorous math standards, NUMBERS is:
  • Hands-on, interactive professional development for teachers of mathematics in elementary and middle school
  • A series of five modules that address the key mathematical strands or domains of state standards in grades K–8
  • Curriculum independent and provides participants with the big ideas that build, progress, and deepen across grade levels


NUMBERS Number Sense

NUMBERS Number Sense Training Manual

  • ISBN / UPC: 978-1-4916-2754-9
  • Item #: 349835
  • Grade Level: K-5


A sense of numbers begins shortly after birth. This module begins with a review of important preschool developmental milestones learning about numbers and concludes with division and the concept of remainders. The major strands are:

  • Number meaning— focus on counting strategies
  • Number relationships— spatial patterns, number combinations, place value
  • Operations on numbers—fact fluency, estimation, traditional and alternative algorithms
  • Problem solving— type and structure of problems
NUMBERS Decimals and Fractions

NUMBERS Fractions and Decimals Training Manual

  • ISBN / UPC: 978-1-4916-2755-6
  • Item #: 349843
  • Grade Level: 3-6


Developing competence in fractions and decimals involves a number of concepts that precede operations on these numbers. The major strands are:

  • Fraction meaning— naming and representing fractions, equal shares, fractions as division, equivalence, magnitude
  • Number relationships— spatial patterns, number combinations, place value
  • Operations on fractions— conceptual foundations for each operation
  • Decimal meaning— link to fractions, base ten, magnitude
  • Operations on decimals— conceptual foundation for each operation, number sense
NUMBERS Ratios and Proportions

NUMBERS Ratios and Proportions Training Manual

  • ISBN / UPC: 978-1-4916-2756-3
  • Item #: 349851
  • Grade Level: 6-8


Ratios are a significant shift for students because of the relationship between quantities. They can be part-to-part or partto- whole relationships. This module tackles misconceptions that students exhibit as they move into ratios and proportional thinking. The major strands are:

  • Complexity of proportional thinking —the importance of multiplicative thinking, definitions of ratios and proportion
  • Problem solving and visual representations— models (tables, double number lines, tape diagrams), researchbased problem-solving strategies
  • Connections to other middle school domains— geometry, statistics, algebra

NUMBERS Algebraic Thinking Training Manual

  • ISBN / UPC: 978-1-4916-2757-0 
  • Item #: 349860
  • Grade Level: 6-8


Traditional instruction focuses almost exclusively on teaching students procedures. This module presents a rich picture of algebraic thinking, connecting algebra to math in earlier grades. The major strands are:

  • Making generalizations —finding the algebra in arithmetic, making inductions from patterns, determining the truth value math statements
  • Rules, properties, and procedures—a conceptual understanding of integers and operations on integers, visual representations of expressions and equations
  • Problem solving— making sense of functions, researchbased approaches for algebraic problem solving

NUMBERS Geometry and Measurement Training Manual

  • ISBN / UPC: 978-1-4916-2758-7
  • Item #: 349878
  • Grade Level: K-5


At times, measurement and geometry clearly overlap. At others, they call for separate skills such as proportionality when converting inches to feet and visualizing congruent parts. The major strands are:

  • Visualizing and reasoning about shapes—classifying and sorting shapes, partitioning shapes into equal shares, composition and decomposition of shapes, recognizing symmetry, classifying two-dimensional figure
  • Measuring dimensions and angles—ordering objects by length, using appropriate tools, unit conversion, a dynamic understanding of area and perimeter, volume, angle measurement


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