Developing, Field-Testing, and Validating An Elementary Algebra Concept Inventory Database For Use In The College Context

开发、现场测试和验证用于大学环境的初等代数概念库存数据库

基本信息

批准号：
1760491
负责人：
Claire Wladis
金额：
$ 150万
依托单位：
CUNY Borough of Manhattan Community College
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2018
资助国家：
美国
起止时间：
2018-12-15 至 2024-11-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1760491&HistoricalAwards=false
关键词：
Developing Field Testing Validating Elementary

项目摘要

This EHR Core Research Project at Manhattan Community College aims to contribute new knowledge and build new theory about students' understanding of the concepts traditionally learned in a college algebra course. College algebra has consistently been identified as a barrier to student degree progress and completion, particularly for groups traditionally underrepresented in STEM fields. One part of the barrier to student progress is the lack of validated assessments to measure understanding of algebra concepts. The project will undertake this important work by building a pool of items to assess conceptual understanding and then testing and validating the database at seven different colleges and universities. The aim of this project is to generate a calibrated item pool of 200 validated questions that assess conceptual understanding in college algebra. This calibrated item pool can then be used by: 1) researchers to assess the effectiveness of curricula and teaching approaches in improving algebraic conceptual understanding; and 2) practitioners to generate diagnostic tests, the results of which could then be used to target instruction to address specific student misconceptions. This research will create the first validated calibrated item pool to test elementary algebra conceptual understanding in the college context. The research builds on initial successful work developing and validating a 22-question elementary algebra concept inventory. A calibrated item pool also will allow for multiple versions of the test to be equated, so instructors or researchers can give different students different test forms but equate the scores, thus improving exam security and the reliability of results. The concept inventory database will be validated with students from the City College of New York system, where the student population is roughly 80% non-white, 60% female, 60% Pell-grant recipients, 50% first-generation college students, and 40% for whom English was not their first language. The instrument will also be tested at six other colleges across the country to ensure generalization to different institutional contexts. The project will also produce a conceptual framework for college students' understanding of elementary algebra.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

曼哈顿社区学院的EHR核心研究项目旨在贡献新的知识，并建立有关学生对传统学院代数课程中学到的概念的理解的新理论。大学代数一直被确定为学生学位进步和完成的障碍，特别是对于传统在STEM领域中人数不足的团体而言。学生进步的障碍的一部分是缺乏验证评估来衡量对代数概念的理解。该项目将通过建立一组项目来评估概念理解，然后在七个不同的大学和大学进行测试和验证数据库来进行这项重要工作。该项目的目的是生成经过200个经过验证的问题的校准项目池，以评估大学代数中的概念理解。然后可以通过以下方式使用此校准的项目池：1）研究人员评估课程和教学方法在改善代数概念理解方面的有效性； 2）从业人员生成诊断测试，然后可以使用其结果来针对指导以解决特定的学生误解。这项研究将创建第一个经过验证的校准项目池，以测试大学背景下的基本代数概念理解。该研究以最初成功开发和验证22个问题的基本代数概念清单为基础。校准的项目池还将允许等同于测试的多个版本，因此讲师或研究人员可以为不同的学生提供不同的测试表格，但将分数等同起来，从而提高考试安全性和结果的可靠性。纽约市城市学院的学生将验证概念清单数据库，该学生的学生人数约为80％的非白人，60％的女性，60％的佩尔特授予接受者，50％的第一代大学生和40％的英语是他们的第一语言。该工具还将在全国其他六所大学进行测试，以确保对不同机构环境的概括。该项目还将为大学生对基本代数的理解提供一个概念框架。该奖项反映了NSF的法定任务，并且使用基金会的知识分子优点和更广泛的影响评估标准，被认为值得通过评估来获得支持。

项目成果

期刊论文数量（17）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

Modeling Student Definitions of Equivalence: Operational vs. Structural Views and Extracted vs. Stipulated Definitions.

模拟学生对等价的定义：操作与结构视图以及提取与规定的定义。

DOI：
发表时间：
2022
期刊：
Proceedings for the 24th Annual Conference on Research in Undergraduate Mathematics Education
影响因子：
0
作者：
Wladis, C.;Sencindiver, B.;Offenholley, K.;E., & Taton
通讯作者：
E., & Taton

Understanding the Developmental Mathematics Research Landscape: A Critical Look at Intended Audience and Outcomes.

了解发展数学研究格局：对目标受众和结果的批判性审视。

DOI：
发表时间：
2022
期刊：
Proceedings for the 24th Annual Conference on Research in Undergraduate Mathematics Education
影响因子：
0
作者：
Makowski, M.;Williams, D.;Wladis, C.;Taylor, K.
通讯作者：
Taylor, K.

What is College-Level Mathematics? A Proposed Framework for Generating Developmental Progressions in Mathematics up to and through College

什么是大学数学？

DOI：
发表时间：
2023
期刊：
Proceedings for the 25th Annual Conference on Research in Undergraduate Mathematics Education
影响因子：
0
作者：
Wladis, C.;Makowski, M.;Taylor, K.;Williams, D.
通讯作者：
Williams, D.

College Students’ Conceptions of Symbolic Properties in Algebra

大学生代数符号性质的概念

DOI：
发表时间：
2023
期刊：
Proceedings of the 44th Annual Psychology of Mathematics Education-North America (PME-NA
影响因子：
0
作者：
Wladis, C.;Sencindiver, B.;Offenholley, K.
通讯作者：
Offenholley, K.

Reconceptualizing Algebraic Transformation as a Process of Substitution Equivalence

将代数变换重新概念化为替换等价过程

DOI：
发表时间：
2023
期刊：
Proceedings for the 25th Annual Conference on Research in Undergraduate Mathematics Education
影响因子：
0
作者：
Wladis, C.;Sencindiver, B.;Offenholley, K.
通讯作者：
Offenholley, K.