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）计划公告NSF 19-508提交的。 STEM教育基础研究的ECR计划在重要，广泛和持久的关键研究领域提供资金。 EHR寻求将有助于综合，建立和/或扩大以下焦点领域的研究基础的建议：STEM学习，STEM学习环境，STEM劳动力发展以及扩大参与STEM。 ECR计划的区别是它强调可靠证据的积累，以告知（a）理解，（b）建立解释的理论，以及（c）提出干预措施（和创新），以应对STEM的兴趣，教育，学习和参与方面的持续挑战。扫盲。估计任务可以预测现实世界数学成果的绩效；并用作教学工具。了解这些任务，在概念上衡量的内容以及为什么这些措施预测数学成果，可以帮助我们更好地教授数学概念。该研究通过仔细检查数值认知中使用的范例来推进数学学习。研究团队将使用数字线进行七项实验研究。研究小组将检查参与者对数字幅度的判断是否受数字依赖的影响；主要是左数。这项工作将与3-11岁的受试者以及成人一起进行。为了支持因果主张，将将参与者随机分配到治疗和对照组。将使用方差技术分析对数据进行分析。这些研究已适当地保证所有研究主张。拟议的研究通过仔细研究了认知，发展和学习理论的研究范式来促进数学学习的基础知识。该奖项反映了NSF的法定任务，并被认为是值得通过基金会的智力优点评估来支持的，并具有更广泛的影响。

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