SBIR Phase II: A mathematics communication and collaboration system

这个SBIR第二阶段项目继续一个雄心勃勃的项目，创造一种全新的数学方法。它充分利用了获奖者之前的项目，这些项目导致了一个互动的方程式操作系统和一个数学交流系统。该项目将该技术扩展为一个学习、做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，并通过发现快速发展对公式如何工作的直观理解。因此，它向各种各样的学生打开了通往数学世界的创造性大门，否则他们可能会仅仅因为思维方式不同而从传统数学教育的缝隙中溜走。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作为全球创新领导者的地位。本项目通过简单巧妙的界面、优雅的设计和强大的数学引擎，为学生和专业人员研发了一个全面的现代数学系统，让他们毫不费力地探索和求解复杂的方程。它扩展了接受者已经独一无二的产品供应，创建了一个变革性的数学平台。该平台是一种创新的数学计算方式，允许用户在几乎任何设备上输入任何公式，并使用简单的拖放手势求解。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联网的多人支持，它也是一个强大的实时交流和协作工具。该项目通过专注于开发的三个核心领域的关键任务，极大地扩大了技术的广度：扩展其核心数学功能，成熟其点对点数学交流系统，以及构建其整体系统架构。该项目为针对直接许可的学区和合作的在线教育公司提供精确的产品市场匹配平台。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势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.