Description of the "九九乘法Multiplication" Application

The "九九乘法Multiplication" application is a comprehensive teaching tool designed to help students, especially those with moderate intellectual disabilities, master multiplication skills through a structured and engaging approach. This application focuses on addressing common errors in multiplication, particularly issues related to carrying numbers, which often trip up learners when performing more complex calculations. By starting with basic two-digit by one-digit multiplication problems and gradually progressing to three-digit by one-digit and eventually two-digit by two-digit multiplication, this software ensures that students build a solid foundation in multiplication techniques.

In line with the principles of inclusive education, this application has been carefully crafted to align with regular educational curricula while catering specifically to the needs of special education students. It achieves this by offering tailored supplementary or functional courses that adapt standard curriculum objectives for students with special needs. These adaptations include deepening, broadening, restructuring, simplifying, reducing workload, breaking down tasks into smaller steps, or substituting alternative methods where necessary. Such adjustments aim to create personalized learning paths that ensure all students can achieve their educational goals effectively.

Multiplication represents an advanced application of repeated addition, providing faster and more accurate computational results. Through hands-on activities involving duplicating units, the application aims to teach students how to apply multiplication concepts within real-life scenarios such as counting items or managing finances. Understanding multiplication requires logical progression; therefore, learners must first grasp lower-level multiplication operations and memorize the multiplication tables before advancing to higher levels.

The app consists of six distinct modules: "Multiplication Counting," "Basketball Multiplication," "Multiplication Matching," "Multiplication Verticals," "Practical Applications," and "Memory Challenges." Each module employs interactive elements like drag-and-drop features and visual aids to make learning enjoyable yet effective. Visual representations are used extensively throughout the program to illustrate how multiplication works as repeated addition and to emphasize proper placement of digits based on place value concepts. Additionally, grid-based place value charts are provided to help eliminate frequent mistakes made during multi-digit multiplication exercises.

By leveraging multimedia resources, this application encourages active participation from users who can manipulate objects directly on screen using touch gestures. This tactile engagement not only enhances motivation but also reinforces understanding of key mathematical principles. As students progress through increasingly challenging exercises, they develop stronger conceptual knowledge about multiplication while improving retention rates thanks to repetitive practice opportunities embedded within each session. Overall, this innovative solution seeks to empower educators and parents alike by offering flexible tools designed specifically for supporting diverse learners across various ability levels.