Results 181 to 190 of about 76,798 (219)
School Science and Mathematics, EarlyView.ABSTRACT This study investigates the impact of problem‐posing on the mathematical proficiency and engagement of 56 Developmental Mathematics (DM) students enrolled in a noncredit college mathematics course. Using a quasi‐experimental design, one of two existing classes was selected as the experimental group and received a 5‐week intervention focused on
John Sevier +2 more
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Function Art: Linking Mathematics, Technology, and Visual Arts
School Science and Mathematics, EarlyView.ABSTRACT This study investigated students' understanding of mathematical functions and strategies to create artwork using GeoGebra. It was framed by the principles of constructionism and examined how students use functions in creating artworks. We gathered data from students' artworks using the Algebra view and the Construction Protocol in the GeoGebra
Guillermo Bautista Jr +5 more
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Secondary School Mathematics Teachers' Accuracy at Predicting Student Errors
School Science and Mathematics, EarlyView.ABSTRACT We studied changes over time in secondary school mathematics teachers' accuracy in predicting students' errors. In a total of 37 sessions, seven teachers were asked to predict the percentage of students choosing each option in five multiple‐choice diagnostic questions taken from the free website https://diagnosticquestions.com/.
Aidan Stannard, Colin Foster
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Exploring 2D Geometric Shape Classification Using AI‐Driven Feature Tables in Mathematics
School Science and Mathematics, EarlyView.ABSTRACT This study explored the effectiveness of an AI‐integrated instructional task designed to enhance preservice teachers' understanding of the features and hierarchical relationships of 2D geometric shapes. Originally developed and tested in online K‐12 professional development settings, this intervention was adapted for in‐person preservice ...
Yasemin Gunpinar, Woonhee Sung
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(Co‐)Reference All the Way Down: A Unified Theory of (Pro) Nominals in Ordinary English
Theoria, EarlyView.ABSTRACT This essay joins two themes, both arising from Kripke's inspiring ideas in the theory of reference. The first theme concerns reference in general. The second examines the notion of co‐reference and the role it plays in a unified theory of pronouns for natural language.
Jessica Pepp, Joseph Almog
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Generation of Uniformly Closed Algebras of Functions
Positivity, 2005Let \(\mathcal F\) be a linear sublattice of the set \(C(X)\) of all continuous functions on a completely regular space \(X\). Let \(A(\mathcal F)\) denote the smallest uniformly closed and inverse-closed subalgebra of \(C(X)\) that contains \(\mathcal F\). \textit{A.~W.\ Hager} [Proc.\ Lond.\ Math.\ Soc., III.~Ser.\ 19, 233--257 (1969; Zbl 0169.54005)]
M. Isabel Garrido, Francisco Montalvo
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Generic lemniscates of algebraic functions
Mathematische Annalen, 1997An algebraic function is a holomorphic map of a compact Riemann surface \(C\) of genus \(g\) to the Riemann sphere \(\mathbb{P}^1\). The associated real-valued function \(|f|^2\) has as critical points the zeros and poles of \(f\) plus the critical points of \(f\). The union of the singular level sets of \(|f|^2\) is called the lemniscate configuration
Bauer, Ingrid, Catanese, Fabrizio
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Coefficient Asymptotics of Algebraic Multivariable Generating Functions
La MatematicazbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuliy Baryshnikov +2 more
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STOCHASTIC HEAT EQUATION ON ALGEBRA OF GENERALIZED FUNCTIONS
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2012The main objective of this paper is to investigate an extension [Formula: see text] of the "Volterra-Gross" Laplacian on nuclear algebra of generalized functions. In so doing, without using the renormalization procedure, this extension provides a continuous nuclear realization of the square white noise Lie algebra obtained by Accardi–Franz–Skeide in ...
Barhoumi, Abdessatar +2 more
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Vanishing Theorems in Colombeau Algebras of Generalized Functions
Canadian Mathematical Bulletin, 2008AbstractUsing a canonical linear embedding of the algebra of Colombeau generalized functions in the space of -valued ℂ-linear maps on the space of smooth functions with compact support, we give vanishing conditions for functions and linear integral operators of class .
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