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阻碍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回应。 COMMIT产品将潜在地解决当今包容性小学课堂中的一个实际问题：需要为那些对常规课堂中的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计划。协调打击人口贩运部长级倡议的产品还将促进循证实践的实施和将研究转化为实践。由于COMMIT强调以概念模型为基础的问题解决方法，将学生的注意力导向深层问题结构，因此预计该计划也可以更广泛地用于改善小学生的数学学习。这个I-Corps项目，基于概念模型的数学智能导师（COMMIT），代表了传统数学问题解决教学的转变，其侧重于选择用于解决方案的操作，到基于模型的问题解决方法，其强调对代数方程中的数学关系的理解和表示，因此促进了广义问题解决技能。该委员会纳入了数学学习的建构主义观点，使数学背后的推理是明确的学生。换句话说，学生将能够理解他们正在做的数学模型和抽象符号。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情况的动态评估提供个性化的课程建议。COMMIT有助于建立基本的数学思想，这对于使苦苦挣扎的学生能够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.