Math Expressions Institute, Level I

Course Agenda

Length of Training: 2 days

Audience: Grade K-5 teachers, Title I coordinators, mathematics coordinators, administrators

Objectives


As a result of this institute, participants will:
  1. Become familiar with the educational research that defines Math Expressions.
  2. Demonstrate an understanding of the instructional elements, strategies, and program components.
  3. Learn how to develop the five core structures in the classroom.
  4. Model effective Math Expressions classroom instruction.

DAY ONE

What is Math Expressions?

  • Philosophy of Math Expressions
  • Research behind Math Expressions
  • The impact of Math Expressions on the classroom teacher

What Does Math Expressions Look Like?

A look at a Math Expressions classroom and discussion of the interaction between the teacher and students

How Do I Get There?

  • Program Structure
  • Program Components
  • Five Core Structures of Math Expressions
  • A closer look at Building Concepts

Levels of Math Talk

  • What is Math Talk?
  • How is Math Talk developed?
  • The 4 Levels of Math Talk
  • The Structures of Math Talk
  • Quick Practices with Student Leaders

Lesson Study

  • Lesson examination at grade levels to find and discuss the parts and special features of a lesson
  • Core structures of Math Talk

Using Meaningful Math Drawings and MathBoards

  • What are Meaningful Math Drawings?
  • MathBoards as useful tools in the classroom

Addition and Subtraction

  • Addition and Subtraction Concepts
  • Addition and Subtraction Methods

Multi-digit Addition

Accessible Algorithms
  • Show All Totals
  • New Groups Below
  • New Groups Above

Multi-digit Subtraction

Accessible Algorithms
  • Expanded Notation
  • Ungroup Everything Above First
    • Ungroup left to right
    • Ungroup right to left

Addition and Subtraction K through Grade 5

Homework: Prepare a lesson to teach in small groups on day two

DAY TWO

Teaching a Lesson

  • Participants will teach a Quick Practice and a Lesson Activity as assigned

Expert Groups

  • Participants will reflect and discuss the Quick Practice and Lesson Activity taught with others who have taught the same part

Assessment

  • Formative and Summative Assessment
  • Assessment in Math Expressions

Word Problems—Addition and Subtraction

Types of Addition and Subtraction Situations
  • Change Problems
  • Collection Problems
  • Comparison Problems

Multiplication and Division

  • Multiplication Methods
  • Word Problems (Multiplication and Division)
  • Types of Multiplication and Division Situations
    • Equal Shares
    • Arrays and Area
    • Comparisons
    • Combinations
  • Word Problem Practice

Stations

Practical application
  • K–2 includes rotation among stations that provide practice using Math Mountains, Addition and Subtraction Situations, Secret Code Cards, Math Games, and Daily Routines
  • 3–5 includes rotation among stations that provide practice using Multi-digit Addition and Subtraction, Multiplication Tables with Targets, Addition of Whole Numbers and Decimals with large numbers