15 papers · ranked by Valyu relevance
Theodoros Anagnostopoulos, Evanthia Zervoudi, Christos Anagnostopoulos, Apostolos Christopoulos + 1 more
Linear regression analysis focuses on predicting a numeric regressand value based on certain regressor values. In this context, k-Nearest Neighbors (k-NN) is a common non-parametric regression algorithm, which achieves efficient performance when compared with other algorithms in literature. In this research effort an…
Dawei Liu, Xin Tan, Huifen Yan, Wei Li + 1 more
Skillful utilization of mental arithmetic can significantly improve students’ mathematical computation ability. However, it was observed that primary school students often resort to reiterating the process of written arithmetic in their minds during mental arithmetic, which is not conducive to their numerical ability…
Shufang Chen, Dawei Liu, Huifen Yan, Yong Ma
Introduction Arithmetic calculation is a fundamental skill for mathematical learning and daily life. However, elementary school students often make errors in practice. Methods Grounded in the schema theory and the memory retrieval theory of mental arithmetic, this study employs a controlled experiment to investigate…
Yael Abramovich, Liat Goldfarb
Most research investigating how the cognitive system deals with arithmetic has focused on the processing of two addends. Arithmetic that involves more addends has specific cognitive demands such as the need to compute and hold the intermediate sum. This study examines the intermediate sums activations in intentional…
Elisabeth Goettfried, Laura Zamarian, Jerrell Cassady
The investigation of eye movements has been shown to provide valuable insights into a variety of cognitive processes. A limited number of recent studies have adopted eye-tracking to investigate the processes underlying simple and complex arithmetic. Here, we review and discuss these studies. We identify two lines of…
Pedro Pinheiro-Chagas, Dror Dotan, Manuela Piazza, Stanislas Dehaene
We introduce a novel method capable of dissecting the succession of processing stages underlying mental arithmetic, thus revealing how two numbers are transformed into a third. We asked adults to point to the result of single-digit additions and subtractions on a number line, while their finger trajectory was…
Wenke Möhring, Léonie Moll, Magdalena Szubielska
Several studies revealed links between mental rotation and mathematical tasks, but the intervening processes in this connection remain rather unexplored. Here, we aimed to investigate whether children’s mental rotation skills relate to their accuracy in solving arithmetic problems via their usage of decomposition…
K. K. L. B. Adikaram, M. A. Hussein, M. Effenberger, T. Becker
We introduce a new nonparametric outlier detection method for linear series, which requires no missing or removed data imputation. For an arithmetic progression (a series without outliers) with n elements, the ratio (R) of the sum of the minimum and the maximum elements and the sum of all elements is always 2/n …
Ram Naaman, Liat Goldfarb
Gain and loss modulation of different aspects of executive functions (EF) has been studied under changing conditions. However, the nature of this effect varies in different EF tasks, as both gain and loss were found to improve performance in specific EF tasks while hindering performance in others. The current study…
Tianqi Yue, Buxuan Guan, Yan Wu, Gengfeng Niu
This study investigated the cognitive and neural mechanisms of exact and approximate arithmetic using fNIRS technology during natural calculation processes (i.e., the production paradigm). Behavioral results showed (1) a significantly longer reaction time for exact arithmetic compared to approximate arithmetic, and (2)…
Hansjörg Neth, Stephen J. Payne
We examine representational effects of Western numerals on mental arithmetic. An analysis of mental addition tasks using a base-10 place-value notation yields a taxonomy of addition types that is anchored in the notion of complements (i.e. additions with round sums). Two experimental studies use a paradigm of serial…
Jiwei Si, Hongxia Li, Yan Sun, Yanli Xu + 1 more
The present study used the choice/no-choice method to investigate the effect of math anxiety on the strategy used in computational estimation and mental arithmetic tasks and to examine age-related differences in this regard. Fifty-seven fourth graders, 56 sixth graders, and 60 adults were randomly selected to…
Serena Dattola, Lilla Bonanno, Augusto Ielo, Angelica Quercia + 4 more
'Angelo Quartarone' 'Fabio La Foresta' 'Dante Mantini' 'Larbi Boubchir'] The neural underpinnings of mental calculation, the fundamentals of arithmetic representations and processes, and the development of arithmetic abilities have been explored by researchers over the years. In the present work, we report a study that…
Ali Baharev, Hermann Schichl, Endre Rév
The computations involving the noncentral-F distribution are notoriously difficult to implement properly in floating-point arithmetic: Catastrophic loss of precision, floating-point underflow and overflow, drastically increasing computation time and program hang-ups, and instability due to numerical cancellation have…
Bing H. Ngu, Huy P. Phan, Jérôme Prado
Central to cognitive load theory is the concept of element interactivity, which reflects the complexity of material. The complexity of linear equations depends on the number of operational and relational lines and the nature of the operation (balance versus inverse) in the solution procedure. A relational line refers…