Processes of mathematical cognition

数学认知过程

• 批准号: 105137-2010
• 负责人: Campbell, Jamie
• 金额: $ 4.21万
• 依托单位: University of Saskatchewan
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2012
• 资助国家: 加拿大
• 起止时间: 2012-01-01 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=513579
• 关键词: Processes; mathematical; cognition

The success of Canada's rapidly evolving knowledge- and technology-based economies will depend increasingly upon the mathematical competence of its citizens. Numeracy may be more critical even than literacy in terms of employment opportunities. At present, Canadians' basic mathematical skills are, on average, relatively weak compared to many countries. This motivates experimental research into the basic cognitive processes that underlie mathematical skills. The purpose of my programme of research is to develop a detailed theory and computer model of adults' memory systems for the fundamental arithmetic operations, including simple addition, subtraction, multiplication and division. These operations provide the conceptual foundations upon which higher-order mathematical skills are built. Specifically, my research investigates the "architecture" of numerical skills (i.e., the functional and structural organization of the underlying component processes) and attempts to identify the mental codes and retrieval processes that subserve numerical comparison, estimation, and basic arithmetic. A unified theory of basic numerical cognition is the ultimate goal of this research, and its realization will provide a scientific basis for understanding individual and cross-national differences in adults' numerical competencies.

加拿大迅速发展的知识和技术经济的成功将越来越依赖于其公民的数学能力。就就业机会而言，算术能力甚至可能比识字能力更重要。目前，与许多国家相比，加拿大人的基本数学技能平均相对较弱。这激发了对数学技能基础的基本认知过程的实验研究。我的研究计划的目的是开发一个详细的理论和成人的基本算术运算，包括简单的加法，减法，乘法和除法的记忆系统的计算机模型。这些操作提供了高阶数学技能建立的概念基础。具体来说，我的研究调查了数字技能的“架构”（即，基本组成过程的功能和结构组织），并试图识别有助于数字比较、估计和基本算术的心理代码和检索过程。本研究的最终目标是建立一个统一的基本数字认知理论，它的实现将为理解成人数字能力的个体差异和跨国差异提供科学依据。