The use of authentic real-world problems that reflect the applied nature of mathematics is not prevalent in formal secondary school settings. In this study, we explore the interface between workplace mathematics, particularly tech-related real-world (TRW) problems, and school mathematics, through the explication of mathematical modeling. The research questions are (1) in which tech domains can real-world problems be identified that can be addressed using mathematical modeling for the secondary school level? (2) Which methods do engineers use to simplify tech-related problems for non-experts in their field? (3) In which areas in the secondary mathematics curriculum can TRW problems be mapped? We present a three-phase model which yielded the creation of a pool of 169 TRW problems. The first two phases of the model included extracting authentic problems from the work of tech engineers and simplifying them to be meaningful or perceivable to students. These were explored by conducting task-oriented interviews with senior tech engineers and scientists from leading companies and universities. The third phase was accomplished by interviewing mathematics education experts, and included verifying the compatibility of the problems with the formal, secondary-level mathematics curriculum. The study has methodological, theoretical, and practical contributions. These include methodology that enables identifying TRW problems that are compliant with the secondary mathematics curriculum; adding to the literature about mathematical modeling by demonstrating the interface between workplace mathematics and school mathematics; and creating a large pool of TRW problems that can be used in secondary school math lessons.

在正规的中学环境中，并不普遍使用真实的，真实的问题来反映数学的应用性质。在这项研究中，我们通过阐述数学模型来探索工作场所数学（尤其是与技术相关的现实世界（TRW）问题）与学校数学之间的接口。研究的问题是（1）在哪个技术领域中可以确定可以使用中学阶段的数学模型解决的现实问题？（2）工程师使用哪些方法来简化非专业领域中与技术相关的问题？（3）在中学数学课程的哪些领域可以绘制TRW问题？我们提出了一个三相模型，该模型产生了169个TRW问题库。该模型的前两个阶段包括从技术工程师的工作中提取真实的问题，并将其简化为对学生有意义或可感知的问题。通过与来自领先公司和大学的高级技术工程师和科学家进行面向任务的采访来探讨这些问题。第三阶段是通过采访数学教育专家来完成的，其中包括验证问题是否与正规的中学数学课程兼容。该研究具有方法论，理论和实践意义。这些方法包括确定与中学数学课程相符的TRW问题的方法；通过展示工作场所数学与学校数学之间的接口，增加有关数学建模的文献；