Enhancing Mathematical Creativity in Everyday Class through Question-Centered Task Modification: A Case of an Experienced Teacher’s Teaching the Unit of a Circle and a Circular Sector

2019 ◽  
Vol 28 (1) ◽  
pp. 27-54
Author(s):  
Min Woong Ahn ◽  
Kyeong-Hwa Lee
Keyword(s):  
Mathematical Creativity ◽  
Circular Sector ◽  
Task Modification

scholarly journals Mathematical Creativity in Adults: Its Measurement and Its Relation to Intelligence, Mathematical Competence and General Creativity

2021 ◽  
Vol 9 (1) ◽  
pp. 10
Author(s):  
Michaela A. Meier ◽  
Julia A. Burgstaller ◽  
Mathias Benedek ◽  
Stephan E. Vogel ◽  
Roland H. Grabner
Keyword(s):  
Exploratory Study ◽  
Mathematical Creativity ◽  
Good Reliability ◽  
Mathematical Competence ◽  
First Order ◽  
The Past ◽  
Confirmatory Factor ◽  
Order Factor ◽  
General Creativity ◽  
Creativity Measure

Mathematical creativity is perceived as an increasingly important aspect of everyday life and, consequently, research has increased over the past decade. However, mathematical creativity has mainly been investigated in children and adolescents so far. Therefore, the first goal of the current study was to develop a mathematical creativity measure for adults (MathCrea) and to evaluate its reliability and construct validity in a sample of 100 adults. The second goal was to investigate how mathematical creativity is related to intelligence, mathematical competence, and general creativity. The MathCrea showed good reliability, and confirmatory factor analysis confirmed that the data fitted the assumed theoretical model, in which fluency, flexibility, and originality constitute first order factors and mathematical creativity a second order factor. Even though intelligence, mathematical competence, and general creativity were positively related to mathematical creativity, only numerical intelligence and general creativity predicted unique variance of mathematical creativity. Additional analyses separating quantitative and qualitative aspects of mathematical creativity revealed differential relationships to intelligence components and general creativity. This exploratory study provides first evidence that intelligence and general creativity are important predictors for mathematical creativity in adults, whereas mathematical competence seems to be not as important for mathematical creativity in adults as in children.

scholarly journals Miniaturized Wideband Loop Antenna Using a Multiple Half-Circular-Ring-Based Loop Structure and Horizontal Slits for Terrestrial DTV and UHD TV Applications

Sensors ◽  
2021 ◽  
Vol 21 (9) ◽  
pp. 2916
Author(s):  
Junho Yeo ◽  
Jong-Ig Lee
Keyword(s):  
Coplanar Waveguide ◽  
Impedance Matching ◽  
Circular Ring ◽  
Loop Antenna ◽  
Digital Television ◽  
Loop Structure ◽  
High Definition ◽  
Circular Sector ◽  
Feed Line ◽  
Length Reduction

A miniaturized wideband loop antenna for terrestrial digital television (DTV) and ultra-high definition (UHD) TV applications is proposed. The original wideband loop antenna consists of a square loop, two circular sectors to connect the loop with central feed points, and a 75 ohm coplanar waveguide (CPW) feed line inserted in the lower circular sector. The straight side of the square loop is replaced with a multiple half-circular-ring-based loop structure. Horizontal slits are appended to the two circular sectors in order to further reduce the antenna size. A tapered CPW feed line is also employed in order to improve impedance matching. The experiment results show that the proposed miniaturized loop antenna operates in the 460.7–806.2 MHz frequency band for a voltage standing wave ratio less than two, which fully covers the DTV and UHD TV bands (470–771 MHz). The proposed miniaturized wideband loop antenna has a length reduction of 21.43%, compared to the original loop antenna.

Design Approach towards Compact Circular Sector Microstrip Antenna with Low Cross Polarization

2021 ◽  
pp. 1-1
Author(s):  
Sudip Kumar Ghosh ◽  
Abhijyoti Ghosh ◽  
Subhradeep Chakraborty ◽  
Lolit Kumar Singh ◽  
Sudipta Chattopadhyay
Keyword(s):  
Microstrip Antenna ◽  
Design Approach ◽  
Cross Polarization ◽  
Circular Sector

Fostering Mathematical Creativity Through Problem Posing and Three-Act Tasks

2021 ◽  
Vol 44 (3) ◽  
pp. 141-150
Author(s):  
Wendy M. Lewis ◽  
Madelyn W. Colonnese
Keyword(s):  
Creative Thinking ◽  
Mathematical Creativity ◽  
National Association ◽  
Problem Posing ◽  
Second Grade ◽  
Gifted Children ◽  
National Council ◽  
Second Grade Students ◽  
Concrete Manipulatives

The National Association for Gifted Children and The National Council of Teachers of Mathematics both call for problem posing. This article illustrates the strategies used during a series of three Three-Act Tasks to foster second grade students’ abilities to problem pose. The students’ problem posing improved across the three Three-Act Tasks and revealed mathematically creative thinking. To support and encourage the students to problem pose, the teacher asked generative questions, modeled various problems, provided concrete manipulatives, and had the students create their own sequel to the Three-Act Tasks.

The Sector Problem

1957 ◽  
Vol 24 (4) ◽  
pp. 574-581
Author(s):  
G. Horvay ◽  
K. L. Hanson
Keyword(s):  
Variational Method ◽  
Orthogonal Polynomials ◽  
Biharmonic Equation ◽  
Approximate Solutions ◽  
Circular Sector ◽  
Orthonormal Polynomials ◽  
Circular Boundary ◽  
Stress Functions ◽  
Complete Set ◽  
Derivatives Of

Abstract On the basis of the variational method, approximate solutions f k ( r ) h k ( θ ) , f k ( r ) g k ( θ ) , F k ( θ ) H k ( r ) , F k ( θ ) G k ( r ) of the biharmonic equation are established for the circular sector with the following properties: The stress functions fkhk create shear tractions on the radial boundaries; the stress functions fkgk create normal tractions on the radial boundaries; the stress functions FkHk create both shear and normal tractions on the circular boundary, and the stress functions FkGk create normal tractions on the circular boundary. The enumerated tractions are the only tractions which these function sets create on the various boundaries of the sector. The factors fk(r) constitute a complete set of orthonormal polynomials in r into which (more exactly, into the derivatives of which) self-equilibrating normal or shear tractions applied to the radial boundaries of the sector may be expanded; the factors Fk(θ) constitute a complete set of orthonormal polynomials in θ into which shear tractions applied to the circular boundary of the sector may be expanded; and the functions Fk″ + Fk constitute a complete set of non-orthogonal polynomials into which normal tractions applied to the circular boundary of the sector may be expanded. Function tables, to facilitate the use of the stress functions, are also presented.

Mathematical creativity: psychology, progress and caveats

ZDM ◽  
2017 ◽  
Vol 49 (7) ◽  
pp. 971-975 ◽  
Author(s):  
Bharath Sriraman
Keyword(s):  
Mathematical Creativity
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