Collaborative Research: Preparing to Teach Algebra: A Study of Teacher Education

本项目旨在研究中学数学教师准备计划如何为中学数学教师提供发展代数教学知识的机会，并解决州一级政策中的代数期望及其与数学共同核心国家标准（CCSSM）的关系。它的目的是回答两个重要的研究问题：（1）中学数学教师准备计划提供了什么机会，以了解代数，代数教学，并在实现平等的代数学习的问题？以及（2）中学数学教师准备计划以何种方式解决数学共同核心国家标准（CCSSM）中描述的代数，函数和建模标准和数学实践？混合的方法将采用在这个研究项目，包括开发，试点，完善和管理数据收集工具和协议，以网络为基础的大规模的国家计划调查，教师准备计划的案例研究，并与学生教师的焦点小组访谈。 该项目的重点是代数，数学教育中的一个重要课题，已被描述为学习高等数学的基础和成功的看门人。在文献中，没有关于职前教师发展代数教学知识的机会的全国性调查，因此，该项目将填补文献中的空白。 该项目涉及对国家具有重要意义的教师培训关键问题。 特别是，这个拟议的项目是很好的定位，需要解决的问题，提出了国家研究理事会和PCAST报告有关的信息需要有关的内容，教师教育计划和教师的需要强大的内容和教学知识的代数教学。 该项目将通过研究目前的国家教师培训计划与国家数学共同核心标准（CCSSM）的紧密联系来解决这一问题。 研究结果将对教师培训产生广泛的政策影响。

This project is to study how secondary mathematics teacher preparation programs provide preservice teachers opportunities to develop knowledge for teaching algebra and address algebra expectations in state-level policies and their relatinship to the Common Core State Standards for mathematics (CCSSM). It is designed to answer two important research questions: (1) What opportunities do secondary mathematics teacher preparation programs provide to learn about algebra, algebra teaching, and issues in achieving equity in algebra learning? And (2) In what ways do secondary mathematics teacher preparation programs address the algebra, functions, and modeling standards and mathematical practices described in the Common Core State Standards for Mathematics (CCSSM)? Mixed-methods will be employed in this research project, including developing, piloting, refining, and administering data collection instruments and protocols for a web-based large-scale national program survey, case studies of teacher preparation programs, and focus group interviews with student teachers. This project focuses on algebra, an important topic in mathematics education that has been described as both fundamental to learning advanced mathematics and a gatekeeper for success There is no national survey about pre-service teachers' opportunities to develop knowledge for teaching algebra in the literature, therefore, this project will fill a gap in the literature. This project addresses critical issues with national significance about teacher preparation. In particular, this proposed project is well-positioned and needed to address issues raised by the National Research Council and in the PCAST Reports about the need for information related to the content of teacher education programs and the need for teachers with strong content and pedagogical knowledge for teaching algebra. This project will address the Common Core State Standards for Mathematics (CCSSM) by examining how closely aligned the current national teacher preparation programs are with the CCSSM. The findings shall have broad policy implications regarding teacher preparation.