《普通高中数学课程标准（2017年版2020年修订）》（以下简称《课标（2017）》）中明确指出，“数学建模”是我国数学学科核心素养，并对“数学建模活动”的教学做出了明确的要求。由于多方面原因，我国的“数学建模活动”的开展情况并不理想，数学教育工作者在积极探索着培养高中生数学建模素养的新途径。该研究有助于丰富数学建模教学案例，为广大一线教师开展数学建模活动提供参考。

本研究以《课标（2017）》与人教A版教材（2019版）在“数学建模”方面的改变为依据，以数学建模、数学建模教学等相关理论为基础，针对高中数学建模教学现状，探究将数学建模融入日常教学的方式在数学建模教学初始阶段的可行性，并选取《函数的应用之人口预测》与《匀速圆周运动的数学模型》两个课题作为案例进行教学设计并实施。本研究的两个主要研究问题是：1.数学建模融入日常教学的现状如何？2.如何设计与实施数学建模融入日常教学的案例？

通过对高中数学建模的教学现状的调查发现：（1）高一学生对数学建模的了解不够，兴趣较低，畏难情绪强烈；（2）高一学生数学建模水平较低，在与“数学应用题”相似度越高的题目中表现越好；（3）“提出假设”是学生在初期解决数学建模时的难点。针对现存问题，通过对数学建模融入日常教学的案例设计与实施，得到以下结论：（1）充分利用好教材例、习题，在教学过程中搭建脚手架，促进学生在“数学应用题”到“数学建模”的转换；（2）数学建模融入日常教学可以拆分为“创设情境，引入课题”、“分析问题，构建模型”、“确定参数，求解模型”、评价模型，总结经验”、“深化知识，应用模型”五个教学环节，其中环节二是教学的重点与难点。

"Mathematical modeling" is the fundamental mathematical literacy in China, according to The Curriculum Standards for General High School Mathematics (2017 Edition, Revised in 2020) (henceforth referred to as the Curriculum Standards (2017)), which also lays out explicit guidelines for teaching "mathematical modeling activities". The growth of "mathematical modeling activities" in China is not optimal for a variety of reasons, and math teachers are actively looking into new approaches to help high school students build their mathematical modeling skills. This study helps to enrich teaching cases of mathematical modeling and provides reference for school teachers to carry out sequential learning activities.

This study is based on the changes in "mathematical modeling" in the Curriculum Standards (2017) and the People's Education A-version textbook (2019 version). Based on relevant theories such as mathematical modeling and mathematical modeling teaching, this study explores the feasibility of integrating mathematical modeling into daily teaching in the initial stage of high school mathematical modeling teaching. Two topics, "Population Prediction of Function Applications" and "Mathematical Model of Uniform Circular Motion", are selected as case studies for teaching design and implementation. The two main research questions of this study are: 1. What is the current situation of integrating mathematical modeling into daily teaching? How to design and implement cases that integrate mathematical modeling into daily teaching?

Through a survey of the current teaching situation of mathematical modeling in high school, it was found that: (1) high school students have insufficient understanding of mathematical modeling, low interest, and strong fear of difficulties; (2) High school students have a lower level of mathematical modeling and perform better in problems that are more similar to "mathematical application problems"; (3) Proposing hypotheses is a challenge for students in solving mathematical modeling in the early stages. In response to existing problems, through the design and implementation of case studies integrating mathematical modeling into daily teaching, the following conclusions are drawn: (1) Make full use of textbook examples and exercises, build scaffolding in the teaching process, and promote students to transition from "mathematical application problems" to "mathematical modeling". (2) The integration of mathematical modeling into daily teaching can be divided into five teaching stages: "creating scenarios, introducing topics," analyzing problems, constructing models, "" determining parameters, solving models, "" evaluating models, summarizing experiences, "and" deepening knowledge, applying models. "Among them, stage two is the focus and difficulty of teaching.