Virtual Manipulatives in Math – A Powerful Cognitive Tool for Learning

Virtual Manipulatives in Math – A Powerful Cognitive Tool for Learning

In today’s schools, there is no escaping technology. Since it is such a powerful force in our culture, it must be incorporated into education.
A famous proverb states, “I hear something and then forget it. I listen, and I comprehend. I do, and I remember.”
The proverb holds true because educational research shows that the most beneficial learning occurs when students consciously develop their own mathematical understanding. Some students, especially younger students, can find abstract concepts difficult to grasp. Manipulatives can help all students improve their sense-making skills, but they’ve been shown to help students who are at-risk, learning disabled, or have reduced English proficiency to grasp the symbolic language of math.

What are physical and virtual manipulatives?  

Physical manipulatives, often known as concrete manipulatives, are physical tools that are used as teaching resources to involve students in hands-on learning of math concepts. It is vital for learners to have a variety of materials to manipulate, enabling them to help build their own mathematical thinking and knowledge with Base 10 Blocks and Fraction Circles. This will give them the opportunity to sort, identify, measure, and explore.
Virtual manipulatives are cognitive, technical tools that are a dynamic virtual representation of physical manipulatives that can be moved, rotated and transformed in the same way that a three-dimensional object can. Virtual manipulatives, like physical manipulatives, provide learners with the same ability to make sense and see relationships as a result of their behaviors. While virtual manipulatives and physical manipulatives have some similarities, virtual manipulatives have unique characteristics as cognitive resources that go beyond the capabilities of physical manipulatives.
Virtual manipulatives are tools that enable students to explore math concepts by manipulating objects. Since most of the applications are accessible, they are far less expensive than concrete ones. Math principles can now be brought to life using online virtual manipulatives.

Benefits of virtual manipulatives.

The student must demonstrate some effort in order to obtain mathematical ideas from dealing with physical manipulatives (like blocks). Many virtual manipulatives, on the other hand, have built-in constraint systems that aid in sense-making and make mathematical concepts more explicit as the student interacts with the resource. Digital tools respond to the learner’s behaviors, provide prompts and instructions that help the user concentrate on the mathematics in the lesson, while physical manipulatives do not provide precise and guided feedback and interaction.

Some virtual manipulatives may be modified, such as the form of the onscreen object or the addition of mathematical notations to the object. Another advantage is accessibility since the online world allows for virtual manipulatives to be accessed at any time.

Students with psychomotor challenges who may not be able to effectively handle the tiny individual parts may have access to a computer resource that helps them to perform equally well. Additionally, students who may be prone to misbehavior may have a way to engage without being able to throw or distract others with physical items.

ORYX Learning offers a wide range of engaging manipulatives to ensure material comprehension and mastery. Here are a few examples of dynamic virtual manipulatives that will enhance the classroom and at-home learning experience.

Algebra Tiles:
Algebra tiles are mathematical manipulatives. Students can better understand algebraic thinking and definitions by using these virtual manipulatives. Learn how to represent and solve algebraic problems by using tiles to represent variables and constants. Solve equations, replace variable expressions, and factor and expand. Learners can make their way through algebra by adding tiles, removing zero sets, and modeling equations. Click on the link to explore and practice.
https://oryxlearning.com/manipulativetemplates/algebratypes

Integer Chips:
Integer chips allow students to better understand the addition of negatives and positives. To model integer addition and subtraction, use integer chips. Colored chips can be used to represent integers when modelling integers. A positive number can be represented by one color, while a negative number can be represented by another. Click on the link to explore and practice.
https://oryxlearning.com/manipulativetemplates/modeltheexpression

Data and Graphs:
This interactive tool is designed to create and teach graphs and charts in an engaging manner. Click on the link to explore and practice.
https://oryxlearning.com/manipulativetemplates/linegraph

Fraction Models:
Fraction models are important for gaining a conceptual understanding of fractions. Fraction sets, whether rectangular or circular, can be used to help students understand that fractions are pieces of a whole, compare fractions, produce equal fractions up to 100, and investigate fraction operations. The circular model emphasizes the part-whole idea of fractions and the sense of the relative size of a part to the whole, whereas the rectangular model is simpler for students to draw precisely. Use the first slider to adjust the parts of the whole model and the second slider to adjust the number of parts shaded and see how they alter the representations and models. Click on the link to explore and practice.
https://oryxlearning.com/manipulativetemplates/fractionmodel

Geometry:
An interactive coordinate plane can be used to graph coordinates in one, two, or four quadrants; show transformations of geometric figures; display data in various forms, and demonstrate numerous algebraic concepts and relationships. Click on the link to explore and practice.
https://oryxlearning.com/manipulativetemplates/geometrysimple

Base Ten Blocks:
Students learn basic mathematical concepts such as addition, subtraction, number sense, place value, and counting with base ten blocks, a mathematical manipulative. These blocks can be manipulated in different ways to express numbers and patterns. Use the base ten blocks to add or subtract. Click on the link to explore and practice.
https://oryxlearning.com/manipulativetemplates/groupandungroup

Clock:
When learning to read time to the hour or to the nearest minute, the interactive clock is most useful. Use the slider to see how the hands on the clock move and read time to the nearest minute. Click on the link to explore and practice.
https://oryxlearning.com/manipulativetemplates/clockslider

Measure and Estimate Angles:
The virtual protractor can be used to manipulate and investigate different angles. Practice calculating and estimating angles with the online protractor method. Click on the link to explore and practice.
https://oryxlearning.com/manipulativetemplates/drawangle

Number Lines:
Number Lines helps students visualize number sequences and demonstrate methods such as counting, comparing, adding, subtracting, multiplying, and dividing. Use the interactive number lines labeled with whole numbers, integers, fractions, or decimals to practice number relationships. Click on the link to explore and practice.
https://oryxlearning.com/manipulativetemplates/numberlineslider

Pie Chart:
A pie chart is a circular graph that displays data in an easy-to-read pie slice format. Each slice represents a data category, and its size is proportional to the amount of data it represents. Use the interactive pie chart to represent information as a percent. Click on the link to explore and practice.
https://oryxlearning.com/manipulativetemplates/piechart

Hundreds Chart:
Counting, skip counting, addition, subtraction, and multiplication are all explored using the interactive hundreds table. A number chart provides a visual guide for learners to see how numbers are arranged and organized. Click on the link to explore and practice.
https://oryxlearning.com/manipulativetemplates/table

Permutations:
A combination is a mathematical technique for calculating the number of possible arrangements in a collection of items where the order of the items is not important. You can choose the elements in any order in combinations. Click on the link to explore and practice.
https://oryxlearning.com/manipulativetemplates/generic4

Teachers will provide an outstanding addition to their teaching toolkit by using Oryx learning interactive manipulatives. They can not only provide directed exploration opportunities for students but also allow their learners to develop a solid understanding of mathematics concepts. These engaging and dynamic range of manipulatives will assist students in demonstrating and sharing their knowledge. Students will not only understand abstract mathematical concepts but also develop a richer and more complex understanding of concepts. Use Oryx Learning manipulatives to help clarify misconceptions and build connections between concepts and representations.
https://oryxlearning.com/manipulatives