I-Corps: Conceptual Model-based Math Intelligent Tutors

这个I-Corps项目的更广泛的影响/商业潜力是探索适合基于概念模型的数学智能导师（COMMIT）的产品市场，用于教授有学习障碍或数学困难的学生。这项技术将有助于克服目前这些学生在数学方面取得成功的障碍，即缺乏对干预课程材料和服务提供者的反应。COMMIT产品可能会解决当今包容性小学课堂中的一个实际问题：需要为那些在常规课堂上对数学内容没有反应或正在努力学习的学生提供个性化和有效的干预方案。COMMIT产品还将促进基于证据的实践的实施和将研究转化为实践。由于commit强调基于概念模型的问题解决方法，将学生的注意力导向深层问题结构，因此期望该程序也可以更广泛地用于改善小学生的数学学习。I-Corps的这个项目，即基于概念模型的数学智能导师（COMMIT），代表了一种从传统的数学问题解决指导（侧重于选择解决方案的操作）向基于模型的问题解决方法的转变，这种方法强调对代数方程中数学关系的理解和表示，从而促进了普遍的问题解决技能。这些提交包含了数学学习的建构主义观点，因此数学背后的推理对学生来说是明确的。换句话说，学生将能够用数学模型和抽象符号来理解他们正在做的事情。COMMIT项目将展示智能导师如何与教师协同工作，并根据对个别学生学习概况的动态评估提供个性化课程建议。提交有助于建立基本的数学思想，这些思想对于使苦苦挣扎的学生在概念或抽象层面上理解数学至关重要。

The broader impact/commercial potential of this I-Corps project is to explore the product-market fit for a conceptual model-based math intelligent tutors (COMMIT) for teaching students with learning disabilities or difficulties in mathematics. The technology will help overcome a current impediment for these students' success in mathematics, the shortage of response to intervention curriculum materials and service providers. The COMMIT products will potentially address a practical issue in today's inclusive elementary classrooms: the need to deliver individualized and effective intervention programs to those students who are not responsive to or are struggling with mathematics content in their regular classrooms. The COMMIT products will also promote the implementation of evidence-based practice and translation of research into practice. Because the COMMITs emphasize a conceptual model-based problem solving approach that orients students' attention to deep problem structure, it is expected that this program can also be used to improve mathematical learning of elementary students more broadly.This I-Corps project, conceptual model-based math intelligent tutors (COMMIT), represents a shift from traditional mathematics problem-solving instruction, which focuses on the choice of operation for solution, to a model-based problem-solving approach that emphasizes an understanding and representation of mathematical relations in algebraic equations and therefore facilitates generalized problem solving skills. The COMMITs incorporate a constructivist view of mathematics learning so that the reasoning behind mathematics is explicit to the students. In other words, students will be able to make sense of what they are doing with mathematical models and abstract symbols. The COMMIT project will demonstrate how intelligent tutors will work with teachers in synergy and provide personalized curriculum recommendations that are based on a dynamic assessment of individual student's learning profile. COMMITs help build fundamental mathematical ideas that are essential to enabling struggling students to understand mathematics at a conceptual or abstract level.