Based on over 20 years of research into how students think and learn, the Cognitive Tutor® software was developed around an artificial intelligence model that identifies weaknesses in each individual student's mastery of mathematical concepts. It then customizes prompts to focus on areas where the student is struggling, and sends the student to new problems that address those specific concepts.
Sample Software Problem Mouse Over the Image To Zoom
Interactive Example Mouse Over the Image To Zoom
A Sample Hint
A Sample Just-In-Time Hint
The Skillometer
This algebra problem shows how Carnegie Learning™ 24/7 Math Help provides math help with colored "motion lines" and clear answers.
Innovative Research-Based Pedagogy
Engages students directly in problem solving.
Uses concrete, real-world scenarios.
Makes use of informal student knowledge.
Prompts a student to think abstractly, by converting situations into quantities and units.
Multiple Representations
Students work with multiple representations of a problem.
Scenarios appeal to students of all abilities and learning styles.
The Solver encourages students to express the problem numerically.
The Grapher displays the problem graphically in a coordinate plane.
The Worksheet prompts students to convert word problems to mathematical expressions.
Interactive Examples
Delivers on screen, step by step instruction for each software unit
Students can see and engage in examples that promote a conceptual understanding of the problems being solved.
Flexible Sequencing
Gives administrators the ability to build a custom curriculum to meet the special needs of districts or schools.
Units can be re-ordered, added and deleted, and new sequences can be named and published for use in the classroom.
Automated Assessment
Delivers pre- and post-tests that automatically tie to customsequenced curricula.
The pretest may be configured to be diagnostic, in which case results are used to set pacing for students in the instructional software.
Just-in-time Feedback
Hints are contextual and oriented towards helping the student to solve key steps in the problem.
Immediate feedback enables the student to self-correct and leads to more effective learning and applying of the mathematics.
The program recognizes the most common student errors and responds appropriately.
Skillometer
As a student becomes more proficient in a skill, the bars on the Skillometer increase in length and turn gold, indicating mastery.
Teachers can view an immediate snapshot of each student's progress.
Students receive a dynamic, strong motivator to succeed.
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