[LON-CAPA-cvs] cvs: modules /gerd/concept description.tex pages.jpg

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www		Wed Jun 23 14:08:11 2004 EDT

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    /modules/gerd/concept	description.tex pages.jpg 
  Log:
  Concept paper start
  
  

Index: modules/gerd/concept/description.tex
+++ modules/gerd/concept/description.tex
\documentclass[11pt]{article}

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\begin{document}
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\noindent{\LARGE\sc Physics Education:\\ Does "Conceptual" mean "No Formulas?"}
\section{Introduction}
\begin{quote}
Mathematics is {\it not} just another language. Mathematics is a language plus reasoning; it is a language plus logic. Mathematics is a tool for reasoning. It is in fact a big collection of the results of some person's careful thought and reasoning. By mathematics it is possible to connect one statement to another.
\begin{flushright}\sc Richard Feynman\cite{feynmanCharacter}\end{flushright}
\end{quote}

\begin{table}\label{alternatetext}
\small
\begin{tabular}{p{3in}|p{3in}}
If $N$ coils of wire, wound in the same sense, are connected, as for example in a solenoid, the induced emf is given by
\[\varepsilon=-N\frac{\Delta\Phi}{\Delta t}\]
which is the usual form in which Faraday's law is written.&
Electromagnetic induction can be summarized in the statement\vspace{2mm}

{\it\bf The induced voltage in a coil is proportional to the product of the number of loops and the rate at which the magnetic field changes within those loops.}\vspace{2mm}

This statement is called {\bf Faraday's Law}.\\\hline
The resistance of the wire is defined as the ratio of voltage to current; that is,
\[R=\frac{V}{I}\]
where $R$ is the resistance, $I$ is the current that flows through this resistance, and $V$ is the {\it potential drop} across the resistance.&
Ohm discovered that the amount of current in a circuit is directly proportional to the voltage (emf) impressed across the circuit and is inversely proportional to the resistance in of the circuit. In short,
\[\mbox{Current}=\frac{\mbox{voltage}}{\mbox{resistance}}\]
Or, in units form,
\[\mbox{Amperes}=\frac{\mbox{volts}}{\mbox{ohms}}\]
\end{tabular}
\caption{Ohm's and Faraday's Law stated in two textbooks,  {\it Principles of Physics} (Blatt\cite{blatt}) left, {\it Conceptual Physics} (Hewitt\cite{hewitt}) right}
\end{table}


\begin{figure}\label{textbooks}
\includegraphics[width=6.5in]{pages}
\caption{Two textbook pages covering the same topic, {\it Principles of Physics} (Blatt\cite{blatt}) left, {\it Conceptual Physics} (Hewitt\cite{hewitt}) right}
\end{figure}
% references
\newpage
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\begin{thebibliography}{99}
\bibitem{feynmanCharacter} Richard Feynman, {\it The Character of Physical Law}, The MIT Press, ISBN 0 262 56003 8
\bibitem{blatt} Frank J. Blatt, {\it Principles of Physics}, Allyn and Bacon, ISBN 0 205 11784 8
\bibitem{hewitt} Paul G. Hewitt, {\it Conceptual Physics}, Little, Brown, ISBN 0 673 39541 3
\end{thebibliography}
\end{document}
\end