12 papers · ranked by Valyu relevance
Roland H. Grabner, Clemens Brunner, Valerie Lorenz, Stephan E. Vogel + 1 more
There is broad consensus that adults solve single-digit multiplication problems almost exclusively by fact retrieval (i.e., retrieval of the solution from an arithmetic fact network). In contrast, there has been a long-standing debate on the cognitive processes involved in solving single-digit addition problems. This…
Gray S. Umbach, Michael D. Rugg, Gregory A. Worrell, Michael R. Sperling + 7 more
Mathematical reasoning is central to everyday life. Lesion data and functional MRI studies suggest that even simple arithmetic involves the coordination of multiple spatially diverse brain regions, but to date, math processing has not been well characterized using direct brain recordings, especially outside of the…
Percy K Mistry, Hyesang Chang, Dawlat El-Said, Vinod Menon
Children exhibit remarkable variability in their mathematical problem-solving abilities, yet the cognitive, metacognitive and affective mechanisms underlying these individual differences remain poorly understood. We developed a novel Bayesian model of arithmetic problem-solving (BMAPS) to uncover the latent processes…
Alexandre Zénon, Samuel Salvaggio, Michael Andres
The assumption that the brain relies on Bayesian inference has been successful in accounting for many behavioural and neurophysiological observations, but to date, dependence on such mechanism has not been assessed in the context of arithmetic. Bayesian inference implies the representation of uncertainty and reliance…
Feng Lixiang, Zhao Rongqian, Kui Zhang, Wenxing Yang
The method proposed by Livak and Schmittgen in 2001 is used for real-time quantitative polymerase chain reaction (RT-qPCR) data analysis. This method’s fundamental logic involves normalizing all data against the control group to achieve relative quantification of gene expression. During our practical calculations, we…
Tomoya Nakai, Jérôme Prado
The ability to learn simple arithmetic is often thought to rely on the associative nature of human memory, where repeated exposure to arithmetic problems strengthens the relations between operands and outcomes. This view is reminiscent of learning in large language artificial neural networks (ANNs), where training…
Manqi Zhou, Shiyan Ji, Yalun Zhang, Huijuan Shen + 9 more
Mastering basic arithmetic lays the foundation for lifelong mathematical achievement, yet how the neural mechanisms underlying addition and subtraction calculations develop during childhood remain unclear. This study investigated the developmental trajectories of addition and subtraction calculations in school-aged…
Joshua P. Kulasingham, Neha H. Joshi, Mohsen Rezaeizadeh, Jonathan Z. Simon
Cortical processing of arithmetic and of language rely on both shared and task-specific neural mechanisms, which should also be dissociable from the particular sensory modality used to probe them. Here, spoken arithmetical and non-mathematical statements were employed to investigate neural processing of arithmetic…
Pedro Pinheiro-Chagas, Clara Sava-Segal, Serdar Akkol, Amy Daitch + 1 more
Previous neuroimaging studies have offered unique insights about the spatial organization of activations and deactivations across the brain, however these were not powered to explore the exact timing of events at the subsecond scale combined with precise anatomical source information at the level of individual brains.…
Gerrit Sommerauer, Karl-Heinz Grass, Roland H. Grabner, Stephan E. Vogel
Behavioral and neuroimaging studies have recently demonstrated that symbolic numerical order processing (i.e., deciding whether numbers are in an increasing/decreasing sequence or not) may engages different cognitive mechanisms and brain regions compared to symbolic numerical magnitude processing (e.g., deciding which…
Osvaldo Skliar, Sherry Gapper, Ricardo E. Monge
A description is provided of how the Square Wave Method (SWM) can be applied to analyze sequences of bases of human DNA. The results obtained are displayed using the Square Wave Transform (SWT), an SWM tool. It is hypothesized that the results of this analysis can be of interest, in certain cases, to understand the…
Linnea Karlsson Wirebring, Carola Wiklund-Hörnqvist, Sara Stillesjö, Carina Granberg + 4 more
Many learning opportunities of mathematical reasoning in school encourage passive imitative learning procedures (algorithmic reasoning, AR) instead of engaging in more active constructive reasoning processes (e.g., creative mathematical reasoning, CMR). In the present study, we employed a within-subject mathematical…