SBIR Phase II: A mathematics communication and collaboration system

SBIR第二阶段项目继续了一个雄心勃勃的项目，以创造一种全新的数学方法。它利用了接受者以前的项目，产生了一个交互式方程处理系统和一个数学通信系统。该项目将该技术扩展为一个学习、实践和交流数学的综合平台。这项创新直接解决了STEM教育和教育技术产品的不足，提供了一种工具，用户可以通过探索学习数学，并通过发现迅速建立对方程如何工作的直观理解。因此，它为广大学生打开了通往数学世界的创造性大门，否则这些学生可能会因为他们的思维方式不同而错过传统数学教育的裂缝。对社会的净影响是降低了进入STEM领域的门槛，提高了数学素养，从而有助于保持我们在创新方面的全球领导者地位。本项目研究和开发了一个全面的现代数学系统，通过简单而巧妙的界面，优雅的设计和强大的数学引擎，为学生和专业人士轻松探索和解决复杂的方程。它扩展了收件人已经独特的产品，以创建一个变革性的数学平台。该平台是一种创新的数学运算方式，允许用户在几乎任何设备上输入任何方程，并使用简单的拖放手势解决它。其自由形式的计算机代数方法保留了纸笔计算的探索性方面，同时受益于底层数学引擎的计算能力。凭借独特的用户界面和网络多人游戏支持，它也是一个强大的实时通信和协作工具。该项目通过专注于三个核心开发领域的关键任务，大幅扩大了技术的广度：扩展其核心数学功能，成熟其点对点数学通信系统，构建其整体系统架构。该项目准备了一个精确的产品市场匹配平台，目标学区直接授权，在线教育公司合作。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

This SBIR Phase II project continues an ambitious project to create an entirely new way of doing mathematics. It leverages off the recipients' previous projects that resulted in an interactive equation manipulation system and a mathematics communication system. This project expands the technology into a comprehensive platform for learning, doing, and communicating mathematics. The innovation directly addresses deficiencies in STEM education and educational technology products by providing a tool whereby users can learn math by exploration and rapidly develop an intuitive understanding of how equations work through discovery. As such, it opens the creative doors to the world of mathematics to a wide range of students who might otherwise slip through the cracks of traditional mathematics education simply because they think differently. The net impact on society is a lower barrier to entry to STEM fields and an increase in math literacy - thus helping to maintain our standing as global leaders in innovation. This project researches and develops a comprehensive modern mathematics system for students and professionals to effortlessly explore and solve complex equations through a simple and artful interface, elegant design, and powerful math engine. It expands on the recipient's already unique product offerings to create a transformative mathematics platform. The platform is an innovative new way of doing math that allows users to enter any equation on almost any device, and solve it using simple drag-and-drop gestures. Its freeform approach to computer algebra retains the exploratory aspects of pen-and-paper calculations, while benefiting from the computational prowess of the underlying math engine. With a unique user interface and networked multiplayer support, it is also a powerful real-time communication and collaboration tool. This project drastically enlarges the breadth of the technology by focusing on critical tasks in three core areas of development: expanding its core mathematics features, maturing its peer-to-peer math communication system, and structuring its overall system architecture. The project prepares the platform for a precise product-market fit to target school districts for direct licensing, and online education companies for partnership.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.