Search results for "Arithmetic"
showing 10 items of 271 documents
An FPGA Implementation of a Quadruple-Based Multiplier for 4D Clifford Algebra
2008
Geometric or Clifford algebra is an interesting paradigm for geometric modeling in fields as computer graphics, machine vision and robotics. In these areas the research effort is actually aimed at finding an efficient implementation of geometric algebra. The best way to exploit the symbolic computing power of geometric algebra is to support its data types and operators directly in hardware. However the natural representation of the algebra elements as variable-length objects causes some problems in the case of a hardware implementation. This paper proposes a 4D Clifford algebra in which the variable-length elements are mapped into fixed-length elements (quadruples). This choice leads to a s…
Input for baroreflex analysis: which blood pressure signal should be used?
2022
The baroreflex (BR) is an important physiological regulatory mechanism which reacts to blood pressure perturbations with reflex changes of target variables such as the heart period (electrocardiogram derived RR interval) or the peripheral vascular resistance (PVR). Evaluation of cardiac chronotropic (RR as a target variable) and vascular resistance (target PVR) BR arms was in previous studies mainly based on the use of the spontaneous variability of the systolic or diastolic blood pressure (SBP, DBP), respectively, as the input signals. The use of other blood pressure measures such as the mean blood pressure (MBP) as an input signal for BR analysis is still under investigation. Making the a…
Frequency format facilitates reasoning in simple numerical tasks.
2005
This study examined whether it is easier to reason in terms of frequencies or with percentages for simple numerical tasks. Research on probabilistic reasoning has shown that humans can draw correct inferences when problems are presented in terms of natural frequencies but not when in percentages. Whether the same effect can be observed in other numerically simple tasks which are not probabilistic was studied with 40 undergraduate students who volunteered for the experiment (13 men, 27 women; M age of 23 yr.). In a simple numerical task involving frequencies or percentages ( N = 20), their performance showed representation in frequencies facilitates the task.
Naming speed and Effortful and Automatic Inhibition in Children with Arithmetic Learning Disabilities
2009
Abstract We report a two-year longitudinal study aimed at investigating the rate of access to numerical and non-numerical information in long-term memory and the functioning of automatic and effortful cognitive inhibition processes in children with arithmetical learning disabilities (ALDs). Twelve children with ALDs, of age 9.3 years, and twelve gender–age-matched controls were involved in the study. Rate of access was measured through digit- and letter-naming tasks, automatic cognitive inhibition was measured using a negative priming paradigm, and effortful cognitive inhibition was measured rating intrusion errors in a working memory task. Children with ALDs suffered from a deficit in the …
Naming speed, automatic inhibition and effortful inhibition in a working memory task in children with arithmetic learning difficulties.
2008
We report a study aimed at investigating rate of access to numerical and non-numerical information in long-term memory and functioning of automatic and effortful cognitive inhibition processes in children with Arithmetical Learning Disabilities (ALD). A group of children with ALD, of age 10,3 years, and a group of gender-age-matched controls were involved in the study. Rate of access was measured through digit- and letter- naming tasks, automatic cognitive inhibition was measured using a negative priming paradigm, and effortful cognitive inhibition was measured rating intrusion errors in the well known Daneman and Carpenter’s (1980) working memory task. No evidence for dysfunction of the au…
The executive functions of shifting updating and inhibition and their association with arithmetical abilities.
2008
The study aimed to investigate, in 110 children attending the fourth class of an Italian primary school, the relationships between the executive functions of shifting, updating and inhibition and various aspect of arithmetic (written calculation, arithmetical facts and numeral knowledge). Shifting was assessed rating time and errors in color/number and number/letter Making trails task. Updating was assessed using Palladino et al.’s task (2001). Inhibition of endogenous information was assessed rating intrusion errors in Updating task, whereas effortful inhibition of exogenous interference and automatic inhibition of endogenous information were respectively assessed using Stroop and Negative…
Training of Attention in Children With Low Arithmetical Achievement
2014
This study focuses on the role of attentional processes in arithmetical skills and examines if training of basic attentive skills may improve also working memory abilities reducing arithmetic difficulties. In order to study the efficacy of attentional treatment in arithmetic achievement and in enhancing working memory abilities a test-treatment-retest quasi experimental design was adopted. The research involved 14 children, attending fourth and fifth grades, with Arithmetical Learning Disabilities (ALD) assigned to experimental and control conditions. The numerical comprehension and calculation processes were assessed using the ABCA battery (Lucangeli, Tressoldi, & Fiore, 1998). Attenti…
Exploring working memory in children with low arithmetical achievement
2005
Abstract This research aimed at exploring the working memory functions in children with low arithmetical achievement and normal reading, compared to age matched controls (mean age 9 years). All the children completed a series of working memory tasks, involving the central executive functions (using both linguistic and numerical material), the phonological loop (using words, pseudo-words and digits) and the visual sketchpad (using both static visual-spatial patterns and visual-spatial sequences). Results indicated that poor arithmeticians performed worse than age-matched controls in all the visual sketchpad tasks and in all the central executive tasks, whether they used linguistic or numeric…
Development of reading and arithmetic skills across Grades 1 to 4 in two groups of children receiving part-time special education
2021
This study investigated why some Finnish students receive part-time special education in Grade 1, duration of that support, and its relation to student reading fluency, reading comprehension, and arithmetic fluency development. The participants included two groups from Grade 1 receiving part-time special education (1–2 years vs. 3–4 years) and a control group comprising the remaining participants from the study. Teachers identified reading and expressive language difficulties as the main reasons for part-time special education in Grade 1. By Grade 4, students who received support until Grade 1 or 2 caught up the level of the control group especially in reading fluency. Students who had rece…
Development of math anxiety and its longitudinal relationships with arithmetic achievement among primary school children
2019
Abstract The aim of this study is to examine the development of two separable aspects of math anxiety, anxiety about math-related situations and anxiety about failure in math, and their cross-lagged relationship with arithmetic achievement. The mean level of anxiety about math-related situations decreased among second, third, and fourth graders, and the level of anxiety about failure in math declined among third, fourth, and fifth graders. The rank-order of individuals was more stable in arithmetic achievement than in either aspect of math anxiety. Arithmetic achievement predicted later anxiety about failure in math, but neither aspect of math anxiety predicted later achievement. The result…