scholarly journals A Case Study Examining Links between Fractional Knowledge and Linear Equation Writing of Seventh-Grade Students and Whether to Introduce Linear Equations in an Earlier Grade

2018 ◽  
Vol 14 (1) ◽  
Author(s):  
Mi Yeon Lee
Keyword(s):  
Linear Equation ◽  
Linear Equations ◽  
Seventh Grade ◽  
Fractional Knowledge

scholarly journals Profil Berpikir Siswa dalam Menyelesaikan Soal Sistem Persamaan Linear

2019 ◽  
Vol 6 (1) ◽  
pp. 69-84
Author(s):  
K. Ayu Dwi Indrawati ◽  
Ahmad Muzaki ◽  
Baiq Rika Ayu Febrilia
Keyword(s):  
Qualitative Research ◽  
Linear Equation ◽  
Linear Equations ◽  
Equation System ◽  
Mathematical Ability ◽  
System Of Linear Equations ◽  
Mathematics Ability ◽  
Linear Equation System ◽  
Thinking Process ◽  
Descriptive Qualitative

This research aimed to describe the thinking process of students in solving the system of linear equations based on Polya stages. This study was a descriptive qualitative research involving six Year 10 students who are selected based on the teacher's advice and the initial mathematical ability categories, namely: (1) Students with low initial mathematics ability, (2) Students with moderate initial mathematics ability, and ( 3) students with high initial mathematics ability categories. The results indicated that students with low initial mathematical ability category were only able to solve the two-variable linear equation system problems. Students in the medium category of initial mathematics ability and students in the category of high initial mathematics ability were able to solve the problem in the form of a system of linear equations of two variables and a system of three-variable linear equations. However, students found it challenging to solve problems with complicated or unusual words or languages.

scholarly journals Case Study On The Relationships Between Soil Contents Of Some Harmful Chemical Elements Determined By Different Equipment

2015 ◽  
Vol 1 ◽  
pp. 89
Author(s):  
Rimantė Zinkutė ◽  
Ričardas Taraškevičius
Keyword(s):  
Linear Relationship ◽  
Chemical Elements ◽  
Linear Equations ◽  
Atomic Emission ◽  
Energy Dispersive ◽  
X Ray ◽  
Edxrf Analysis

Comparison of total contents of Ba, Cr, Cu, Mn, Mo, Ni, Sn, Pb, V, Zn, Al, Ca, Fe, Mg determined in topsoil of central part of Vilnius by optical atomic emission spectrophotometry (OAES) with respective contents determined by energy-dispersive x-ray fluorescence (EDXRF), analysis of their correlation and linear relationship with and without outliers are the tasks of research. For most elements, except Ca, Sn, Ba, the contents determined by EDXRF are significantly lower and less variable. They can be predicted according to OAES-contents using linear equations. After elimination of outliers for all elements the correlation is significant at p<0.05.

Closed-Form Determination of the Location of a Rigid Body by Seven In-Parallel Linear Transducers

1996 ◽  
Author(s):  
Carlo Innocenti
Keyword(s):  
Rigid Body ◽  
Linear Equations ◽  
Parallel Manipulators ◽  
Rigid Bodies ◽  
Body Location ◽  
Position And Orientation ◽  
General Geometry ◽  
Two Bodies

Abstract The paper presents an original analytic procedure for unambiguously determining the relative position and orientation (location) of two rigid bodies based on the readings from seven linear transducers. Each transducer connects two points arbitrarily chosen on the two bodies. The sought-for rigid-body location simply results by solving linear equations. The proposed procedure is suitable for implementation in control of fully-parallel manipulators with general geometry. A numerical example shows application of the reported results to a case study.

Strongly Oscillatory and Nonoscillatory Subspaces of Linear Equations

1975 ◽  
Vol 27 (1) ◽  
pp. 106-110 ◽  
Author(s):  
J. Michael Dolan ◽  
Gene A. Klaasen
Keyword(s):  
Linear Equation ◽  
Linear Space ◽  
Nontrivial Solution ◽  
Linear Equations ◽  
Order Equation ◽  
Third Order ◽  
Nonoscillatory Solutions ◽  
Oscillatory Solutions ◽  
The Third ◽  
All Solutions

Consider the nth order linear equationand particularly the third order equationA nontrivial solution of (1)n is said to be oscillatory or nonoscillatory depending on whether it has infinitely many or finitely many zeros on [a, ∞). Let denote respectively the set of all solutions, oscillatory solutions, nonoscillatory solutions of (1)n. is an n-dimensional linear space. A subspace is said to be nonoscillatory or strongly oscillatory respectively if every nontrivial solution of is nonoscillatory or oscillatory. If contains both oscillatory and nonoscillatory solutions then is said to be weakly oscillatory.

A Case Study on the Local Organization of Two Mathematically Gifted Seventh-Grade Students

2008 ◽  
Vol 32 (2) ◽  
pp. 211-229
Author(s):  
Jaehoon Yim ◽  
Yeong Ok Chong ◽  
Sang Hun Song ◽  
Seokil Kwon
Keyword(s):  
Seventh Grade ◽  
Mathematically Gifted ◽  
Local Organization

Incorporating a Digital Game Into the Formal Instruction of Algebra

2019 ◽  
Vol 50 (5) ◽  
pp. 555-591
Author(s):  
Shulamit Kapon ◽  
Angela Halloun ◽  
Michal Tabach
Keyword(s):  
Linear Equations ◽  
Computer Game ◽  
Higher Learning ◽  
Digital Game ◽  
Learning Gains ◽  
Seventh Grade ◽  
Formal Instruction ◽  
Analogical Mapping

We compared students' learning gains in authentic seventh-grade classrooms (N = 144) in 4 different interventions that incorporated a computer game that aims to teach players to solve linear equations. Significantly higher learning gains were measured in the implementations that were specifically designed to mediate the attribution of algebraic meaning to objects, actions, and rules in the game by engaging students in analogical mapping between these constructs and their algebraic counterparts and an exploration of the boundaries of this isomorphism. These findings suggest that learning disciplinary content and skills from a digital game requires learners to attribute disciplinary meaning to objects, actions, and rules in the game. Moreover, this process does not necessarily occur spontaneously and benefits from instructional mediation.

Learning Techniques for Solving Linear Equations Systems. Power Systems Case study

2018 ◽  
Vol 10 (2) ◽  
pp. 99-106
Author(s):  
Constantin Barbulescu ◽  
Oana Pop ◽  
Attila Simo ◽  
Ovidiu Fati
Keyword(s):  
Power Systems ◽  
Computer Technology ◽  
Iterative Process ◽  
Matrix Algebra ◽  
Linear Equations ◽  
Volume Calculation ◽  
First Approximation ◽  
Learning Techniques ◽  
Manual Calculation

AbstractThe use of matrix algebra has expanded considerably in the last 25-30 years, in parallel with computer technology evolution. Introducing of matrix notation leads to simple and concise formulation of highly complex applications. In the first instance, a linear model can be developed or if the model is nonlinear, it can be linearized in first approximation, once or every step of a solving iterative process. In this paper, the authors will present two methods used to solve linear equations systems. First methods will be solved by manual calculation and the second method will be solved using a computer program, SISLIN, developed in Power Systems Department of the Politehnica University Timisoara. Methods are presented to students who are asked to apply the methods for case studies. Volume calculation is large, for which the authors analyze student’s concentration and attention degree.

SOLVING LINEAR EQUATIONS IN L-FUNCTIONS

2014 ◽  
Vol 10 (03) ◽  
pp. 569-584
Author(s):  
J. KACZOROWSKI ◽  
A. PERELLI
Keyword(s):  
Functional Equation ◽  
Linear Equation ◽  
Dirichlet Series ◽  
Linear Equations

We describe the solutions of the linear equation aX + bY = cZ in the class of Dirichlet series with functional equation. Proofs are based on the properties of certain nonlinear twists of the L-functions.

scholarly journals Rate of Convergence of Tikhonov Method of Regularization for Constrained Linear Equations with Operators Having Closed Ranges

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Milojica Jaćimović ◽  
Izedin Krnić ◽  
Oleg Obradović
Keyword(s):  
Linear Equation ◽  
Rate Of Convergence ◽  
Linear Equations ◽  
Tikhonov Method ◽  
Method Of Regularization

We derive the estimates of the rate of convergence of the Tikhonov method of regularization for a constrained operator linear equation. In case that the range of the corresponding operator is closed, the estimate is of the same order as the estimates for a linear equation without constraints.

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