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Graphical representation of the relationship between the topics and facts, concepts drawn from content, and generalization and principles that express conceptual relationships.

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Graphical representation of the relationship between the processes, strategies, skills and concepts, generalizations, and principles in process-driven disciplines.

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Provides depth of knowledge

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Provides breadth of knowledge

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Three-Step Scaffolding Process

Level 1: Students will understand that...

Should be deleted after level 2.

Level 2: How or why?

This is the teaching target.

Should provide strong, clear statements of conceptual understandings.

Level 3: So what is the significance or effect?

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Effective mathematics learning develop from generalizations through inductive inquiry

Provide students with specific examples from which to draw generalizations. Students will discover generalizations and principles themselves

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includes the facts and content, role memorization of procedures and topics, and the conceptual level.

encourages students to construct generalizations at end of learning cycle through use of inquiry

students draw and form generalizations

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posing questions, problems, or scenarios rather than providing facts or knowledge

encourages curiously in students

students learn to ask questions

foster synergistic thinking: design guiding questions in the form of factual, conceptual, and debatable questions. It allows students to make connections between facts and skills and conceptual understandings

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Hands-On Math Goes Digital In and Beyond the Classroom!

Explore Our Collection of FREE Virtual Manipulatives

From Number Lines to Base Ten, Pattern Blocks to Place Value, Disks our collection of free Virtual Manipulatives gives educators and families access to visual and hands-on digital resources that lead to understanding. Students can use these resources in class and at home to practice math concepts, reinforce their growing math understanding, technology they love in the process.

Free Resources & Instructions for Teachers and Families

We've developed these resources for easy access and easy use:

How-To Videos

There's a short video for each of the Virtual Manipulatives in our collection so teachers can use these digital materials easily and confidently with students.
Watch Now

Activities

Activities from the Didax books that teachers use most for easy download. Engaging challenges address core math operations, concepts and skills, from early numeracy all the way to introductory geometry and algebra.
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FAQ

Download this document of FAQ's to answer your Virtual Manipulative questions.
Download Now

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Demonstrate key math concepts in your classroom using our new virtual manipulatives!

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1. Create a social learning environment

2. Provide a safe environment to allow for mistakes

3. Use inquiry and inductive approaches to develop conceptual understanding

4. Reduce whole class teacher talk time

5. Differentiate

Content: Tiered tasks with varying levels of difficulty

Process: learning outcomes are the same but students are given a choice of process during the learning

Product: what students produce at end of a unit to show mastery of content

Affect: ability to move your students (choice of video, website, presentation)

6. Assessment strategies

7. Be purposeful when asking students to answer questions

8. Structure learning environment (classroom layout)

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1. Analytical: thinkers who enjoy facts and figures, breaking down things, and understanding how things work.

2. Practical: appreciate context and real-life settings. They like to get things done. They prefer hands-on activities.

3. Creative: thinkers who like to be empowered to produce, create, and design. They often have a unique perspective and may like to work alone.

Encourage students to work in a thinking style that is NOT their preferred!