Digit Dependence in Numerical Magnitude Judgments

数值大小判断中的数字依赖性

• 批准号: 1920445
• 负责人: Hilary Barth
• 金额: $ 109.13万
• 依托单位: Wesleyan University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-07-01 至 2025-06-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1920445&HistoricalAwards=false
• 关键词: Digit; Dependence; Numerical; Magnitude; Judgments

This proposal was submitted in response to EHR Core Research (ECR) program announcement NSF 19-508. The ECR program of fundamental research in STEM education provides funding in critical research areas that are essential, broad and enduring. EHR seeks proposals that will help synthesize, build and/or expand research foundations in the following focal areas: STEM learning, STEM learning environments, STEM workforce development, and broadening participation in STEM. The ECR program is distinguished by its emphasis on the accumulation of robust evidence to inform efforts to (a) understand, (b) build theory to explain, and (c) suggest interventions (and innovations) to address persistent challenges in STEM interest, education, learning, and participation.This research examines numerical and mathematical cognitive processing, with accompanying correlational work that links study results to formal math skills and complex judgments relevant to mathematics literacy. Estimation tasks predict performance on real-world math outcomes; and are useful as teaching tools. Understanding these tasks, what they conceptually measure, and why these measures predict math outcomes, help us better teach math concepts. The research advances mathematics learning by carefully examining paradigms used in numerical cognition. The research team will conduct seven experimental studies of estimation tasks using number lines. The research team will examine whether participants' judgements of numeric magnitude are influenced by digit dependence; principally, the left most digit. The work will be conducted with subjects aged 3-11, as well as adults. To support causal claims, participants will be randomly assigned to treatment and control groups. The data will be analyzed causally using analysis of variance techniques. The studies have been appropriately powered to warrant all research claims. The proposed research advances basic knowledge of mathematics learning by carefully examining research paradigms that inform theories of cognition, development, and learning.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.

该提案是根据EHR核心研究（ECR）项目公告NSF 19-508提交的。STEM教育基础研究ECR项目为重要、广泛和持久的关键研究领域提供资金。EHR寻求有助于在以下重点领域综合、建立和/或扩大研究基础的提案：STEM学习、STEM学习环境、STEM劳动力发展和扩大STEM参与。ECR项目的特点是强调积累有力的证据，为以下方面的努力提供信息：(a)理解，(b)建立理论来解释，(c)提出干预（和创新）措施，以解决STEM兴趣、教育、学习和参与方面的持续挑战。本研究考察了数值和数学认知过程，并伴随相关工作，将研究结果与正式数学技能和与数学素养相关的复杂判断联系起来。评估任务预测现实世界数学结果的表现；并且是有用的教学工具。理解这些任务，它们在概念上测量什么，以及为什么这些测量可以预测数学结果，有助于我们更好地教授数学概念。该研究通过仔细检查数字认知中使用的范式来促进数学学习。研究小组将进行七项使用数轴估算任务的实验研究。研究小组将研究参与者对数字大小的判断是否受到数字依赖的影响；主要是最左边的数字。这项工作将对3-11岁的受试者以及成年人进行。为了支持因果关系的说法，参与者将被随机分配到治疗组和对照组。数据将使用方差分析技术进行因果分析。这些研究得到了适当的支持，以保证所有的研究结论。本研究通过仔细研究认知、发展和学习理论的研究范式，推进了数学学习的基础知识。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

项目成果

Left Digit Effects in Numerical Estimation across Development

发展过程中数值估计中的左数字效应

• DOI: 10.1080/15248372.2021.1984243
• 发表时间: 2022
• 期刊: Journal of Cognition and Development
• 影响因子: 2.1
• 作者: Williams, Katherine;Zax, Alexandra;Patalano, Andrea L.;Barth, Hilary
• 通讯作者: Barth, Hilary

Linguistic inversion and numerical estimation

语言反演和数值估计

• DOI: 10.5964/jnc.v6i3.273
• 发表时间: 2020
• 期刊: Journal of numerical cognition
• 作者: Savelkouls, Sophie;Williams, Katherine;Barth, Hilary
• 通讯作者: Barth, Hilary

Modeling the left digit effect in adult number line estimation

• DOI: 10.1016/j.cognition.2022.105257
• 发表时间: 2022-10
• 期刊: Cognition
• 影响因子: 3.4
• 作者: A. Patalano;Kelsey Kayton;H. Barth

The left digit effect in a complex judgment task: Evaluating hypothetical college applicants

复杂判断任务中的左数字效应：评估假设的大学申请者

• DOI: 10.1002/bdm.2247
• 发表时间: 2021
• 期刊: Journal of Behavioral Decision Making
• 影响因子: 2
• 作者: Patalano, Andrea L.;Williams, Katherine;Weeks, Gillian;Kayton, Kelsey;Barth, Hilary
• 通讯作者: Barth, Hilary