Main Components and Flow of Afficient Math
Requirements of each grade level materials are composed of “Skills”.
Each Skill is a small advance in concept or solution methodology which can be illustrated by one short example and easily learned in no more than a few minutes.
A student goes through the following sessions to pass a grade level:
problems of a new Skill.
The objective of the Learning session is to learn a new Skill by understanding and being able to do problems of the new Skill.
Each Learning Session is associated with one Skill. The status of a Skill is initially marked as “To Be Learned“. For each grade level, the Skills are in a pre-determined order according to the logical relations between Skills. The program will lead a student to learn Skills in the pre-determined order while the student can pick any Skill to learn.
The Learning Session generally has the following sub-sessions:
When a Learning Session of a Skill is launched, one can first go through the “Demo”. During the “Demo”, a student progressively views the explanations of the concept and/or the ways to solve the problem.
In the Assisted Exercise, the procedure and the solution of the problem are partially provided. The student is asked to complete the solution of the problem. After filling and submitting the solution, the program will respond whether the solution is correct. If the solution is wrong, the student shall re-enter the solution. During the Assisted Exercise, a student may request “Hints” for the solution.
In the Exercise, a student is expected to solve the problems completely. If the solution is wrong, the student shall re-enter the solution. The student may request “Hints” for the solution. In the Exercise, the student is given one problem after another to solve. The student is required to have a specified number (for example 5) of correct answers in a row to pass the Learning Session, and the corresponding status of the Skill will be advanced from “To Be Learned” to “Level 1.”
The objective of the Proficiency Session is to let students be proficient in solving problems of learned Skills when problems of different such Skills appear in a group.
In the Proficiency Session, a student is given a problem set at a time. Each problem set contains one to six problems of different Skills, automatically selected by the program.
Proficiency Session can be started once there is at least one Skill at or above Level 1.
Majority of problems in a problem set are from the Skills to be Proficient in the same grade level. Minority of problems in a problem set are from the Skills that are already Proficient in the same or a lower grade level. Thus, students constantly review the previously learned materials.
Each correctly answered problem moves the status of the Skill from “Level 1” to “Level 2”, or “Level 2” to “Level 3”. Each incorrectly answered problem moves the status of the Skill from “Level 1” to “To Be Learned”, “Level 2” to “Level 1”, “Level 3” to “Level 2”, or “Proficient” to “Level 3”. At the status of “Level 3,” if the problem is correctly solved within a certain time, it will be advanced to “Proficient”. If the problem is correctly solved but with a time longer than the specified time, the status remains at “Level 3“.
The objective of the Afficiency session is to reach the pre-set goal of completing the grade level by focusing on improving the accuracy rate and the speed of solving problems.
Once all the Skills in a grade level become “Proficient”, one can start the Afficiency Session. All the problems in an Afficiency Session are from the same grade level.
Once a student completes any session of the program, the grade level score of the student is calculated based on the accuracy rates and the speed of solving the problems of all Skills.
Problems are given sequentially by Problem Sets. The problems in a Problem Set are chosen intelligently to maximize the increase of the grade level score. After completing a Problem Set, the new score is displayed. The student can continue the Afficiency Session until the goal of the grade level score is reached or no further progress can be made with continued practice.
Afficient Math methodologies have been filed with the United States Patent and Trademark Office under Application No. 14/573,281 titled “System and Method for Assessing Learning or Training Process.”