Syntactic chunking reveals a core syntactic representation of multi-digit numbers, which is generative and automatic

被引:4
|
作者
Dotan, Dror [1 ]
Brutman, Nadin
机构
[1] Tel Aviv Univ, Sch Educ, Math Thinking Lab, Tel Aviv, Israel
基金
以色列科学基金会;
关键词
Number syntax; Chunking; Symbolic numbers; Multi-digit number comprehension; PLACE-VALUE; MEMORY; MATHEMATICS; ABILITIES; LANGUAGE; WORKING; INFERENCES; SIMILARITY; INVERSION; SEQUENCES;
D O I
10.1186/s41235-022-00409-2
中图分类号
B84 [心理学];
学科分类号
04 ; 0402 ;
摘要
Representing the base-10 structure of numbers is a challenging cognitive ability, unique to humans, but it is yet unknown how precisely this is done. Here, we examined whether and how literate adults represent a number's full syntactic structure. In 5 experiments, participants repeated number-word sequences and we systematically varied the order of words within each sequence. Repetition on grammatical sequences (e.g., two hundred ninety-seven) was better than on non-grammatical ones (hundred seven two ninety). We conclude that the participants represented the number's full syntactic structure and used it to merge number words into chunks in short-term memory. Accuracy monotonously improved for sequences with increasingly longer grammatical segments, up to a limit of similar to 4 words per segment, irrespectively of the number of digits, and worsened thereafter. Namely, short chunks improved memorization, whereas oversized chunks disrupted memorization. This chunk size limit suggests that the chunks are not based on predefined structures, whose size limit is not expected to be so low, but are created ad hoc by a generative process, such as the hierarchical syntactic representation hypothesized in Michael McCloskey's number-processing model. Chunking occurred even when it disrupted performance, as in the oversized chunks, and even when external cues for chunking were controlled for or were removed. We conclude that the above generative process operates automatically rather than voluntarily. To date, this is the most detailed account of the core representation of the syntactic structure of numbers-a critical aspect of numerical literacy and of the ability to read and write numbers.
引用
收藏
页数:20
相关论文
共 8 条
  • [1] Syntactic chunking reveals a core syntactic representation of multi-digit numbers, which is generative and automatic
    Dror Dotan
    Nadin Brutmann
    Cognitive Research: Principles and Implications, 7
  • [2] Correction: Syntactic chunking reveals a core syntactic representation of multi-digit numbers, which is generative and automatic
    Dror Dotan
    Nadin Brutmann
    Cognitive Research: Principles and Implications, 7
  • [3] Syntactic chunking reveals a core syntactic representation of multi-digit numbers, which is generative and automatic (vol 7, 58, 2022)
    Dotan, Dror
    Brutmann, Nadin
    COGNITIVE RESEARCH-PRINCIPLES AND IMPLICATIONS, 2022, 7 (01)
  • [4] Syntactic priming reveals an explicit syntactic representation of multi-digit verbal numbers
    Dotan, Dror
    Breslavskiy, Ilya
    Copty-Diab, Haneen
    Yousefi, Vivian
    COGNITION, 2021, 215
  • [5] Serial and syntactic processing in the visual analysis of multi-digit numbers
    Dotan, Dror
    Eliahou, Ofir
    Cohen, Sharon
    CORTEX, 2021, 134 : 162 - 180
  • [6] Lexical and syntactic structures in a connectionist model of reading multi-digit numbers
    Verguts, Tom
    Fias, Wim
    CONNECTION SCIENCE, 2006, 18 (03) : 265 - 285
  • [7] The number decision task: Investigation of the representation of multi-digit numbers
    Sass, Katharina
    Theissen, Lena
    Muente, Thomas F.
    Habel, Ute
    van der Lugt, Arie
    ACTA NEUROBIOLOGIAE EXPERIMENTALIS, 2013, 73 (02) : 289 - 303
  • [8] Place-value and physical size converge in automatic processing of multi-digit numbers
    Feder, Ami
    Cohen-Gutman, Sivan
    Lozin, Mariya
    Pinhas, Michal
    MEMORY & COGNITION, 2024, 52 (05) : 1001 - 1016