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Voyager Expanded Learning
A Blended Solution

Vmath's lessons balance print and technology, explicit instruction and guided discovery, and conceptual development and problem solving.

Balance is the Key
Using a balanced, systematic approach to instruction, Vmath
blends print and technology to differentiate instruction for
every type of learner.

Instruction balances conceptual development, computational fluency, and problem-solving.

Blended instructional model combines teacher-led instruction with print materials and individualized instruction and practice with technology.

Explicit instruction, effective for struggling students, is balanced with procedural fluency and conceptual development.
Curriculum Features
Assessment Guides Instruction

Data from the Vmath Assessment System can be used to identify students' strengths and weaknesses; guide instructional decisions to intensify instruction and target areas of weakness; and record student growth and mastery of concepts, skills, and strategies.
Manipulative Lessons Develop Concepts

Vmath Hands-On Lessons help teachers present important math concepts using common manipulatives. Detailed support and explicit lesson dialogue ensure high-quality instruction.
Gizmos On-line Manipulatives

Gizmos®, online virtual manipulatives by Explore Learning, allow teachers to actively demonstrate key math concepts. Students see immediate changes as variables are manipulated.
Relevant Adventures Engage and Motivate

Each module opens with an Adventure featuring exciting photographs and real-life math situations that pose relevant questions. Students read and use data, answer open-ended questions, or write short paragraphs explaining the mathematics involved. Students think about math in different ways and make important connections to other disciplines.
Four Lesson Steps Teach Systematically

The teacher reviews prerequisite skills and carefully models the new concept, skill, or strategy as students work in their workbooks.

The teacher uses effective prompts and questions to scaffold instruction and ensure proper student responses. The lesson guides teachers in the gradual and purposeful removal of the scaffolds.

Students independently practice lesson content and previously learned skills and keep a personal graph of progress in their workbooks.

Students answer questions in multiple choice and short answer formats, allowing the teacher to informally assess using daily progress checks.
Build the Concept Emphasizes
Conceptual Development

In each lesson, Build the Concept uses visual models and pictorial representations to help students develop conceptual understanding of important math concepts including place value, whole number operations, decimals, fractions, percent, integers, geometry, and measurement. This feature also reinforces the use of manipulatives found in Vmath Hands-On Lessons and Gizmos lessons.
Problem Solving Strategy
Practice Builds Confidence

Problem Solving questions, occurring in alternate lessons, guide students through a problem-solving strategy such as Solving a Simpler Problem, Finding a Pattern, and Working Backward. Problem-solving lessons that explicitly teach specific strategies are also included in every Vmath module.
Algebraic Thinking and Critical Thinking
Develop Deep Knowledge

These questions in alternate lessons help students think more deeply about the math in the lesson. Algebraic Thinking questions involve proportional reasoning, thinking about unknowns, working with patterns and functions, and representing relationships using tables, graphs, and rules. Critical Thinking questions focus on thinking skills such as deductive reasoning, making decisions, and identifying and explaining errors.
Writing about Mathematics
Demonstrates Mastery

Both the Write Math and the Explain It questions provide an opportunity for students to communicate their thinking, apply mathematical reasoning, and justify their thinking as they write responses. Students develop a better understanding of the material, increase communication skills in math, and demonstrate their understanding of the concept.
Error Analysis Assesses Informally

The Check Up questions presented in multiple choice and short answer formats allow teachers to easily assess students informally after each lesson. The question distracters are based on common student errors, so the teacher can be informed as to the exact cause of the student's misconception. This type of error analysis is commonly identified as positively affecting student learning.
Correction Procedures Guarantee Mastery

Correction Procedures, diagnostic and prescriptive tools customized for each lesson, help teachers identify and analyze student mistakes and intervene with immediate corrective feedback. Correction Procedures reference Reteach copy masters and VmathLive activities for additional practice.
ELL and Special Needs Strategies Differentiate Instruction

Lesson-specific teaching strategies enhance instruction for both English language learners and students with special needs. ELL Strategies suggest specific activities to increase student understanding of the language of mathematics. Students with Special Needs provide teachers with adaptations to meet the learning challenges of these students.

The Vmath program was so easy to implement for the pullout program at my school. The materials were self-contained and ready to go.
Bernice Friesenhahn,
Compensatory Education Teacher
Olympia Elementary