scholarly journals The Cognitive Structure of Students in Understanding Mathematical Concepts

2019 ◽  
Author(s):  
Suharto Suharto ◽  
Wahyu Widada
Keyword(s):  
Cognitive Structure ◽  
Mathematical Concepts

scholarly journals The Ability to Understand Concepts: Cognitive Style, Cognitive Structure, Learning Styles and Learning Motivation

2020 ◽  
Vol 5 (1) ◽  
pp. 15-22
Author(s):  
Suharto Suharto
Keyword(s):  
High School Students ◽  
Learning Styles ◽  
Cognitive Style ◽  
Learning Style ◽  
Structure Learning ◽  
Mathematics Learning ◽  
Cognitive Structure ◽  
Learning Motivation ◽  
Mathematical Concepts ◽  
Positive Direct

Mathematics is a compulsory subject in vocational high schools throughout Indonesia. The ability to understand concepts is a competency that must be possessed in mathematics learning. The purpose of this study was to examine the variables that affect the ability to understand mathematical concepts. The variables are cognitive style, cognitive structure, learning style and learning motivation. This is a survey research, with a sample of 100 people. The sample was selected by simple random technique from all vocational high school students in Bengkulu City. The research instrument consisted of five instruments, namely a test of the ability to understand mathematical concepts, and four questionnaires of cognitive style, cognitive structure, learning styles and learning motivation questionnaire. The research data were analyzed through path analysis using SPSS and the Lisrel Application Program. The results of this study are the variables of cognitive style, cognitive structure, learning style, and learning motivation have a positive direct effect on the ability to understand mathematical concepts. From this study it can be concluded that the ability to understand mathematical concepts through cognitive styles, cognitive structures, learning styles, and student learning motivation is in a good category.

scholarly journals The Emergence of Mathematical Understanding: Connecting to the Closest Superordinate and Convertible Concepts

2021 ◽  
Vol 12 ◽  
Author(s):  
Zezhong Yang ◽  
Xintong Yang ◽  
Kai Wang ◽  
Yanqing Zhang ◽  
Guanggang Pei ◽  
...  
Keyword(s):  
High School Students ◽  
Junior High School ◽  
Cognitive Structure ◽  
Mathematical Understanding ◽  
Junior High School Students ◽  
School Students ◽  
Mathematical Concepts ◽  
New Concepts ◽  
New Findings ◽  
Definition Of

This study aimed to examine the specific means and internal processes through which mathematical understanding is achieved by focusing on the process of understanding three new mathematical concepts. For this purpose interviews were conducted with 54 junior high school students. The results revealed that mathematical understanding can be achieved when new concepts are connected to at least two existing concepts within a student’s cognitive structure of. One of these two concepts should be the superordinate concept of the new concept or, more accurately, the superordinate concept that is closest to the new concept. The other concept should be convertible, so that a specific example can be derived by changing or transforming its examples. Moreover, the process of understanding a new concept was found to involve two processes, namely, “going” and “coming.” “Going” refers to the process by which a connection is established between a new concept and its closest superordinate concept. In contrast, “coming” is a process by which a connection is established between an existing convertible concept and a new concept. Therefore the connection leading to understanding should include two types of connections: belonging and transforming. These new findings enrich the literature on mathematical understanding and encourage further exploration. The findings suggest that, in order to help students fully understand new mathematical concepts, teachers should first explain the definition of a given concept to students and subsequently teach them how to create a specific example based on examples of an existing concept.

Cognitive structure, flexibility, and plasticity in human multitasking—An integrative review of dual-task and task-switching research.

2018 ◽  
Vol 144 (6) ◽  
pp. 557-583 ◽  
Author(s):  
Iring Koch ◽  
Edita Poljac ◽  
Hermann Müller ◽  
Andrea Kiesel
Keyword(s):  
Task Switching ◽  
Dual Task ◽  
Cognitive Structure ◽  
Integrative Review ◽  
Structure Flexibility ◽  
And Task

The Computational Sublime in Nick Montfort's ‘Round’ and ‘All the Names of God’

CounterText ◽  
2015 ◽  
Vol 1 (3) ◽  
pp. 348-365 ◽  
Author(s):  
Mario Aquilina
Keyword(s):  
Computer Code ◽  
Computer Programs ◽  
Literary Text ◽  
Text Generation ◽  
Mathematical Concepts ◽  
Literary Space

What if the post-literary also meant that which operates in a literary space (almost) devoid of language as we know it: for instance, a space in which language simply frames the literary or poetic rather than ‘containing’ it? What if the countertextual also meant the (en)countering of literary text with non-textual elements, such as mathematical concepts, or with texts that we would not normally think of as literary, such as computer code? This article addresses these issues in relation to Nick Montfort's #!, a 2014 print collection of poems that presents readers with the output of computer programs as well as the programs themselves, which are designed to operate on principles of text generation regulated by specific constraints. More specifically, it focuses on two works in the collection, ‘Round’ and ‘All the Names of God’, which are read in relation to the notions of the ‘computational sublime’ and the ‘event’.

A Simple Algorithm for Despiking Raman Spectra

2018 ◽  
Author(s):  
Darren Whitaker ◽  
Kevin Hayes
Keyword(s):  
Moving Average ◽  
Simple Algorithm ◽  
Mathematical Concepts ◽  
Charge Coupled Device ◽  
Analytical Technique ◽  
Minimal Sample ◽  
Minimal Distortion ◽  
Molecular Specificity ◽  
Ccd Detectors ◽  
Average Filter

Raman Spectroscopy is a widely used analytical technique, favoured when molecular specificity with minimal sample preparation is required.<br>The majority of Raman instruments use charge-coupled device (CCD) detectors, these are susceptible to cosmic rays and as such multiple spurious spikes can occur in the measurement. These spikes are problematic as they may hinder subsequent analysis, particularly if multivariate data analysis is required. In this work we present a new algorithm to remove these spikes from spectra after acquisition. Specifically we use calculation of modified <i>Z</i> scores to locate spikes followed by a simple moving average filter to remove them. The algorithm is very simple and its execution is essentially instantaneous, resulting in spike-free spectra with minimal distortion of actual Raman data. The presented algorithm represents an improvement on existing spike removal methods by utilising simple, easy to understand mathematical concepts, making it ideal for experts and non-experts alike. <br>

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