scholarly journals Worked Problems in Higher Arithmetic

Nature ◽  
1904 ◽  
Vol 69 (1795) ◽  
pp. 486-486
Keyword(s):  
Worked Problems

Crowd Noise and Conformity

1968 ◽  
Vol 23 (2) ◽  
pp. 425-426 ◽  
Author(s):  
David S. Dustin
Keyword(s):  
White Noise ◽  
College Men ◽  
Men And Women ◽  
Worked Problems

90 college men and women worked problems in the presence of crowd noise (CN), white noise (WN), or no noise (NN). CN produced more tendency to conform to answers chosen by others than NN among men ( p < .05) but not among women.

Proportional Reasoning Word Problem Performance for Middle School Students With High-Incidence Disabilities (HID)

2019 ◽  
Vol 43 (3) ◽  
pp. 140-153
Author(s):  
Anne Brawand ◽  
Margaret E. King-Sears ◽  
Anya S. Evmenova ◽  
Kelley Regan
Keyword(s):  
Middle School ◽  
Middle School Students ◽  
Proportional Reasoning ◽  
Future Research ◽  
School Students ◽  
High Incidence ◽  
Worked Problems ◽  
Based Instruction ◽  
High Incidence Disabilities ◽  
Mastery Criteria

Schema-based instruction (SBI) was used to teach nine middle school students with high-incidence disabilities (HID) to solve proportional reasoning word problems. A multiple-baseline-across-groups design was used to determine student understanding of the SBI process. The design consisted of three phases including baseline, SBI process, and maintenance. Training of the SBI process with worked problems occurred between baseline and SBI process. Students’ performance was measured using a five-category rubric, under two conditions: solving problems with and without calculator use. Results indicated that all groups improved problem-solving performance and maintained improvement 4 weeks after instruction. Implications for revising the rubric’s mastery criteria and future research are described.

scholarly journals Solving Diophantine Equations by Factoring in Number Fields

2021 ◽  
Vol 2 (1) ◽  
pp. 29-34
Author(s):  
Zdeněk Pezlar
Keyword(s):  
Number Theory ◽  
Algebraic Number ◽  
Diophantine Equations ◽  
Number Fields ◽  
Algebraic Number Theory ◽  
Quadratic Residues ◽  
Worked Problems

In this text we provide an introduction to algebraic number theory and show its applications in solving certain difficult diophantine equations. We begin with a quick summary of the theory of quadratic residues, before diving into a select few areas of algebraic number theory. Our article is accompanied by a couple of worked problems and exercises for the reader to tackle on their own.

Moving Worked Problems to YouTube

2013 ◽  
Vol 51 (8) ◽  
pp. 500-502 ◽  
Author(s):  
Warren Christensen
Keyword(s):  
Worked Problems

Nonlinear Photonics

2022 ◽  
Author(s):  
Jia-Ming Liu
Keyword(s):  
Undergraduate Students ◽  
Teaching Experience ◽  
Practical Applications ◽  
Years Of Teaching Experience ◽  
Hands On ◽  
Key Concepts ◽  
Worked Problems ◽  
Complete Solutions ◽  
The Ideal ◽  
Nonlinear Photonics

Suitable for both graduate and senior undergraduate students, this textbook offers a logical progression through the underlying principles and practical applications of nonlinear photonics. Building up from essential physics, general concepts, and fundamental mathematical formulations, it provides a robust introduction to nonlinear optical processes and phenomena, and their practical applications in real-world devices and systems. Over 45 worked problems illustrate key concepts and provide hands-on models for students, and over 160 end-of-chapter exercises supply students with plenty of scope to master the material. Accompanied by a complete solutions manual for instructors, including detailed explanations of each result, and drawing on the author's 35 years of teaching experience, this is the ideal introduction to nonlinear photonics for students in electrical engineering.

scholarly journals Real-Time Reliable Simulation of Heat Transfer Phenomena

2009 ◽  
Author(s):  
G. Rozza ◽  
D. B. P. Huynh ◽  
N. C. Nguyen ◽  
A. T. Patera
Keyword(s):  
Heat Transfer ◽  
Input Parameter ◽  
High Fidelity ◽  
Educational Context ◽  
Finite Element Discretization ◽  
Reduced Basis ◽  
Element Discretization ◽  
Class Project ◽  
Worked Problems ◽  
Basis Method

In this paper we discuss the application of the certified reduced basis method and the associated software package rbMIT© to “worked problems” in steady and unsteady conduction. Each worked problem is characterized by an input parameter vector — material properties, boundary conditions and sources, and geometry — and desired outputs — selected fluxes and temperatures. The methodology and associated rbMIT© software, as well as the educational worked problem framework, consists of two distinct stages: an Offline (or “Instructor”) stage in which a new heat transfer worked problem is first created; and an Online (or “Lecturer”/“Student”) stage in which the worked problem is subsequently invoked in (say) various in-class, project, or homework settings. In the very inexpensive Online stage, given an input parameter value, the software returns both (i) an accurate reduced basis output prediction, and (ii) a rigorous bound for the error in the reduced basis prediction relative to an underlying expensive high-fidelity finite element discretization; as required in the educational context, the response is both rapid and reliable. We present illustrative results for two worked problems: a steady thermal fin, and unsteady thermal analysis of a delamination crack.

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