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Showing 1 to 15 of 19 results Save | Export
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Alves, Alexandre – International Journal of Mathematical Education in Science and Technology, 2023
Taylor series play a ubiquitous role in calculus courses, and their applications as approximants to functions are widely taught and used everywhere. However, it is not common to present the students with other types of approximations besides Taylor polynomials. These notes show that polynomials construed to satisfy certain boundary conditions at…
Descriptors: Mathematics Instruction, Teaching Methods, Calculus, Error Patterns
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Tsamir, Pessia; Tirosh, Dina – International Journal of Science and Mathematics Education, 2023
This paper aims to broaden the scope of the construct concept image by addressing the mathematically oriented notion of "solution of an algebraic equation." The notion solution of an algebraic equation is not mathematical per se, but it is most prevalent in mathematical communications and in mathematics education. The paper describes…
Descriptors: Problem Solving, Algebra, Equations (Mathematics), Mathematics Education
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Reid O'Connor, Bronwyn – Australian Mathematics Education Journal, 2022
Quadratic equations are a notorious topic for the challenge it provides to students in secondary mathematics. Despite this, there is limited research, particularly in the Australian context, that explains why such challenges persist. This article details the causes of Year 11 students' difficulties in solving quadratic equations. Observing…
Descriptors: Equations (Mathematics), Mathematics Instruction, Secondary School Students, Grade 11
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Oliveira, Vitor – Physics Education, 2022
We discuss the limits of the equation of the period of a simple pendulum, T[subscript s] = 2[pi][square root]l/g, frequently used in high-school and university classrooms to measure the acceleration of gravity. We evaluate the relative error in determining the acceleration of gravity with this simple equation instead of a more realistic one,…
Descriptors: Physics, Teaching Methods, Science Instruction, Accuracy
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Turner, John J. – School Science Review, 2018
This article endeavours to define how the application of incorrect or wrong solutions to mathematical equations or problems can be used to help stimulate students to perform a critical analysis of the mathematics being applied or the context of the equations used. The context of the application is discussed together with the specific learning…
Descriptors: Critical Thinking, Equations (Mathematics), Mathematics Instruction, Mathematical Concepts
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Tellinghuisen, Joel – Journal of Chemical Education, 2015
The method of least-squares (LS) has a built-in procedure for estimating the standard errors (SEs) of the adjustable parameters in the fit model: They are the square roots of the diagonal elements of the covariance matrix. This means that one can use least-squares to obtain numerical values of propagated errors by defining the target quantities as…
Descriptors: Least Squares Statistics, Error of Measurement, Error Patterns, Chemistry
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Arzumanyan, George; Halcoussis, Dennis; Phillips, G. Michael – American Journal of Business Education, 2015
This paper presents the Agresti & Coull "Adjusted Wald" method for computing confidence intervals and margins of error for common proportion estimates. The presented method is easily implementable by business students and practitioners and provides more accurate estimates of proportions particularly in extreme samples and small…
Descriptors: Business Administration Education, Error of Measurement, Error Patterns, Intervals
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Raff, Lionel M. – Journal of Chemical Education, 2014
Necessary and sufficient criteria for reaction spontaneity in a given direction and for spontaneity of finite transformations in single-reaction, closed systems are developed. The criteria are general in that they hold for reactions conducted under either conditions of constant T and p or constant T and V. These results are illustrated using a…
Descriptors: Science Education History, Misconceptions, Textbook Evaluation, Textbook Standards
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Prentice, J. S. C. – International Journal of Mathematical Education in Science and Technology, 2011
A simple nonstiff linear initial-value problem is used to demonstrate the amplification of round-off error in the course of using a second-order Runge-Kutta method. This amplification is understood in terms of an appropriate expression for the global error. An implicit method is then used to show how the roundoff error may actually be suppressed.…
Descriptors: Mathematics Instruction, College Mathematics, Problem Solving, Error Patterns
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Moses, Tim; Zhang, Wenmin – Journal of Educational and Behavioral Statistics, 2011
The purpose of this article was to extend the use of standard errors for equated score differences (SEEDs) to traditional equating functions. The SEEDs are described in terms of their original proposal for kernel equating functions and extended so that SEEDs for traditional linear and traditional equipercentile equating functions can be computed.…
Descriptors: Equated Scores, Error Patterns, Evaluation Research, Statistical Analysis
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Lian, Lim Hooi; Yew, Wun Thiam – International Education Studies, 2012
Algebraic solving ability had been discussed by many educators and researchers. There exists no definite definition for algebraic solving ability as it can be viewed from different perspectives. In this paper, the nature of algebraic solving ability in terms of algebraic processes that demonstrate the ability in solving algebraic problem is…
Descriptors: Algebra, Mathematics Skills, Problem Solving, Evaluation Methods
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Lazar, Ann A.; Zerbe, Gary O. – Journal of Educational and Behavioral Statistics, 2011
Researchers often compare the relationship between an outcome and covariate for two or more groups by evaluating whether the fitted regression curves differ significantly. When they do, researchers need to determine the "significance region," or the values of the covariate where the curves significantly differ. In analysis of covariance (ANCOVA),…
Descriptors: Statistical Analysis, Evaluation Research, Error Patterns, Bias
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Duerdoth, Ian – Physics Education, 2009
The subject of uncertainties (sometimes called errors) is traditionally taught (to first-year science undergraduates) towards the end of a course on statistics that defines probability as the limit of many trials, and discusses probability distribution functions and the Gaussian distribution. We show how to introduce students to the concepts of…
Descriptors: Least Squares Statistics, Probability, College Science, Undergraduate Study
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Maharaj, Aneshkumar – South African Journal of Education, 2008
I report on the findings from research and literature on (a) use of symbols in mathematics, (b) algebraic/trigonometric expressions, (c) solving equations, and (d) functions and calculus. From these, some insights and implications for teaching and learning are derived.
Descriptors: Mathematics Instruction, Symbols (Mathematics), Algebra, Trigonometry
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Shacham, Mordechai; Brauner, Neima; Ashurst, W. Robert; Cutlip, Michael B. – Chemical Engineering Education, 2008
Mathematical software packages such as Polymath, MATLAB, and Mathcad are currently widely used for engineering problem solving. Applications of several of these packages to typical chemical engineering problems have been demonstrated by Cutlip, et al. The main characteristic of these packages is that they provide a "problem-solving environment…
Descriptors: Mathematical Models, Computer Software, Problem Solving, Chemical Engineering
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