Arithmetic Deficits in Parkinson’s Disease?—A Registered Report

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Authors: Hannah D. Loenneker, Inga Liepelt-Scarfone, Klaus Willmes, Hans-Christoph Nuerk, Christina Artemenko
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Abstract

Elderly people and patients with neurodegenerative diseases such as Parkinson’s Disease (PD) rely on arithmetic skills to lead an independent life. Activities such as medication management, financial transactions or using public transport require intact abilities to manipulate numbers with different arithmetic operations. However, research on cognitive deficits in PD has focussed on domain-general functions such as executive functions, attention or working memory so far – largely neglecting potential domain-specific aspects of numerical cognition (e.g., carry or problem size effect). These aspects should be addressed, as PD-immanent deterioration of domain-specific numerical areas and domain-general functions suggests mechanisms of both primary and secondary (mediated by other cognitive deficits) arithmetic deficits, respectively. The current study systematically investigated arithmetic performance and effects in PD patients differing in cognitive impairment for the first time, targeting domain-specific cognitive representations of arithmetic as well as the influence of domain-general factors. Besides healthy controls (HC), PD patients with normal cognition (PD-NC) and PD patients with mild cognitive impairment (PD-MCI) were compared in arithmetic performance in the four basic operations (addition, subtraction, multiplication, division). The deficits consisted of problems in two-digit addition and subtraction in PD-MCI, as well as delayed arithmetic fact retrieval for single-digit multiplication and division in PD-NC and PD-MCI. Deficits were not domain-specific, as arithmetic effects (problem size, carry, and borrow effects) did not differ between the groups. Discriminant analyses showed that performance in addition, multiplication and division tasks could differentiate between PD-NC and PD-MCI. The study results help us to understand the underlying mechanisms of arithmetic deficits faced by PD patients in daily life.

Fields of Study & Subjects

Cognitive and developmental aspects of mathematical skills

Publication details

Journal / source
Collabra Psychology
Volume
12
Issue
1
Publication date
1 January 2026
Language
EN