\documentclass{cbmath-l}
%%%%% BEGIN PREAMBLE SECTION  %%%%%%%
%% NOTE: In LaTeX, the % sign is used to make comments, to 
%%% or from you, the author. What follows - until the next line 
%%% return - is invisible to the typsetting program. If you wish 
%%% LaTeX to use something that is commented out by %, remove the %.
%
\setcounter{page}{0}  % For use by Production Editor (PE).
\copyrightinfo{2007}{American Mathematical Society} %PE will adjust as needed
\def\currentvolume{13}  %PE will adjust as needed
\def\currentyear{2006}  %PE will adjust as needed
\def\volinfo{Volume \textbf{\currentvolume}, \currentyear}  %PE will adjust as needed.
%%% PACKAGES  %%%%
%%
%%% packages subsection of preamble; call all needed packages; 
%%% each of these packages should reside EITHER in the appropriate 
%%% system folder for TeX .sty files OR in the same folder as the 
%%% article you are typesetting.
%%%
\usepackage{graphicx}  % for formatting of EPS or PDF  figures; 
\usepackage{epsfig}  % to include EPS files as figures
\usepackage{epstopdf} % for EPS to PDF file translation in TeXShop typesetting program.
\usepackage{apacite} % for APA style formatting of bibliographic 
                     % entries using BibTex. 
%\usepackage{apalike-plus} % another .sty file for APA formatting of bib entries 
                           % in the tex file (not using BibTeX)
\usepackage{calc} % package needed for RCME format "itlist" (see below)
%\usepackage{doublespace} % to allow doublespaced typesetting. 
                          % To enable doublespacing, remove the % 
                          % in front of \usepackage{doublespace}.
%\usepackage{ulem} % provides command \sout{} for strikethrough text
%%% NOTE THAT YOU MAY NEED ADDITIONAL/DIFFERENT PACKAGES - it all
%%% depends on the particular needs of your computer softward for 
%%% LaTeX typesetting.
%%%
%%% The following give LaTeX instructions about where to break terms 
%%% that the typesetting program does not know where to hyphenate.
\hyphenation{con-ception concep-tion ap-plied spe-cific sit-uations
situ-ations situa-tions Du-binsky Dubin-sky the-ory stand-ing 
pro-vide an-swers co-gent ques-tions Sier-pinska Sierpin-ska 
them-selves Schoen-feld op-erating oper-ating operat-ing mul-tiple 
multi-ple rep-resentations repre-sentations represen-tations 
representa-tions Ka-put Re-ston}
%%%% \newcommand to make sure each article starts on a right-hand page in the RCME book.
% clear to next odd numbered page, 
\newcommand{\cleartooddpage}{\thispagestyle{empty}\hbox{THIS PAGE BLANK INTENTIONALLY}\clearpage}
%%%%
%%%% \newcommand and \newenvironment to generate RCME-formatted 
%%%% description-like list with ITALIC description labels (instead 
%%%% of boldface labels produced by the {description} environment)  
%%%%
% Uses the format 
%\begin{itlist}
%   \item[label_text] Text ...
%   \item[label_text] Text ... (etc.)
%\end{itlist} 
%%
%%% NOTE: the itlist environment must also call package calc 
%%% with \usepackage{calc} above
\newcommand{\itlabel}[1]{\mbox{\textit{#1}}\hfil}
\newenvironment{itlist}{\begin{list}{}%
   {\renewcommand{\makelabel}{\itlabel}%
     \setlength{\labelwidth}{16pt}%
     \setlength{\leftmargin}{\labelwidth+4.5\labelsep}%
     %\setlength{\rightmargin}{\leftmargin}%
}}{\end{list}}
%%%%%%%%%%%%
%  END of PREAMBLE
%%%%%%%%%%%%
\begin{document}
%%%%%%%%%%
\cleartooddpage % each article starts on the right-hand page in the RCME book.
%%%  TITLE: 
%%% [short title for page header in square brackets]{full title in braces}
%%% separate lines in full title after preposition or article with \\ to force 
%%% a line return.
\title[short title]{Full Title with Line Returns after Prepositions to \\ 
                         Create an Appropriate Break in Wording}
%%% FIRST AUTHOR: 
%%% [author, HOWEVER, IF multiple authors, surname only]{Author Full Name}
\author[Researcher]{Howdy I. M. Researcher}
%%%  First Author full postal mailing address 
\address{Department, Street or Postal Address, Name of Institution, 
                     City, State or Province (abbreviated), Postal or Zip Code}
\email{email@location.restofaddr.ess}
%%% SECOND AUTHOR -generate these three lines for EACH author.
\author[Coauthor]{Hey A. Coauthor}
\address{Coauthor full mailing address}
\email{coauthor@email.address.edu}
%%% EACH ADDITIONAL AUTHOR - generate and uncomment these three lines for EACH author.
%\author[Surname]{Full Name}
%\address{full mailing address}
%\email{email address}

%%% THANKS
%%% \thanks will become a 1st page footnote. If longer than 2 lines, 
%%%  add an Acknowledgments section at the end of the manuscript, before 
%%%  the References, instead.
\thanks{We wish to thank the reviewers for their helpful suggestions and 
support.}
%%%%%%%%%%%%%%%
\begin{abstract}
A summary of the problem, methods, results, and conclusions of about 100 to 250 words.
\end{abstract}
%%%%%%%%%%%%%%%
\maketitle

%%%%%%%%%%%%%%%
\section{Introduction} 
%%%%%%%%%%%%%%%
This section is typically written in the past tense. 

\subsection{Books about LaTeX}
There are quite a few very good references for how to use LaTeX. 
For the novice, the older ones, from 1994, by Leslie Lamport (inventor of LaTeX) 
and Goosens et al., are likely to be the most useful.  In fact, the first chapter of 
Lamport's book is available as a preview at amazon.com (as of this writing, May 2006). 
Also quite useful for the basics is Gr\"atzer's book {\it Math into LaTeX}. 
See the references section of the typeset version of this file, or the {\it RCME} 
information page from which this file was retrieved  for full bibliographic information 
on these and on some other, more recent books \cite{Goossens1,Gratzer1,Gratzer2,Lamport,Goossens2}. 
%Note here that even though I gave an identifier to the second Goossens reference that started with G, the first author of the book I call Goossens2 was Mittelbach, so I have put the Goossens call later in the list of identifiers, so they will be alphabetical when typeset.  The lesson here: It is probably a good idea to choose reference identifiers that start with the FIRST author's surname!


\subsection{Citing References and Block Quotes}
To call a reference to  support an assertion, use the $cite$ command: 
\begin{verbatim}\cite{reference1,reference2}. 
\end{verbatim} 
%%%  The above use of the {verbatim} environment is so the typeset version of this file
%%%  will show \cite{reference1,reference2}. Actual use of the cite
%%%  command was illustrated above  in the section on Books about Latex and
%%%  is used below in other examples.
Note that between the braces in the $cite$ 
command there are NO SPACES after commas (see below for 
more examples of the use of the $cite$ and $nocite$ commands. 

To cite a reference within the text use the $cite\{\}$ command. If you type a complicated reference, use the $nocite\{\}$ command to make sure the bibliographic entry gets typset correctly. For example, the following raw LaTeX code:

\begin{verbatim}
 Hanna (2000) has referred to the difference between proofs that 
``convince'' and those that may prove without being persuasive to students 
(p. 7).\nocite{Hanna00} Other research has focused on differentiating the 
types of proofs and proving processes with which students 
work\cite{Balacheff88,Harel98}.
\end{verbatim}
%
when typeset, would look like this:


    Hanna (2000) has referred to the difference between proofs that ``convince'' and those that may prove without being persuasive to students (p. 7).\nocite{Hanna00} Other research has focused on differentiating the types of proofs and proving processes with which students work\cite{Balacheff88,Harel98}. \\[2ex] % forces a double line return.

\noindent{\it Block quotes}
To get a long (40 words or more) quote into the format called a ``block quote,'' use the $quote$ environment. For example, the following LaTeX code,
\begin{verbatim}
\begin{quote}
{\it Pat:}  Well, when I first thought about going to graduate  
school, I wasn't sure I wanted more than a master's degree. 
I mean, I was a high school teacher for crying out loud!  
The idea of becoming one of those ivory tower academics 
with a doctorate just did {\it not} appeal to me.  
Now, I have finished the master's degree, the thing 
they call here the ``consolation prize'' and I am through 
comps, on my way to a Ph.D.
\end{quote}
\end{verbatim}
%
will be typeset as an indented block of text, as shown below. The $quote$ environment is quite useful for including transcriptions of interviews in a manuscript.

\begin{quote}
{\it Pat: } Well, when I first thought about going to graduate school, I wasn't sure I wanted more than a master's degree. I mean, I was a high school teacher for crying out loud!  The idea of becoming one of those ivory tower academics with a doctorate just did {\it not} appeal to me.  Now, I have finished the master's degree, the thing they call here the ``consolation prize'' and I am through comps, on my way to a Ph.D.
 \end{quote}
%

\subsection{Producing the Bibliography (i.e., the References section)}
The {\it templaterefs.bib} file provided with this template is a database of bibliographic information formatted for BibTeX. The file contains examples of just about every type of bibliographic item (e.g., articles, things in edited books, in proceedings, dissertations, etc.). Many more items are included in the sample {\it templaterefs.bib} file than are actually called by this template.tex LaTeX file. That's okay. In fact, it is the beauty of BibTeX: one can create a single database and use it for ANY LaTeX-typeset manuscript.

Please refer to the {\it templaterefs.bib} file for information on creating your own {\it .bib} file to use with BibTeX. Feel free to use {\it templaterefs.bib} as the foundation of your bibliographic database, just make sure to rename it {\it \underline{author}refs.bib} using the \underline{first author's surname}.

\subsubsection{Using BibTeX}
This {\it template.tex} file has been set up with the assumption the author will
use BibTeX to create the bibliography.  One typically typsets a document once, then runs
BibTeX, then typesets two more times (to make sure cross-references
and page numbers come out right). One way to see if what you need is
already installed on your machine is to download the {\it .bib} and {\it .eps}
files for this template file, typeset this file, run BibTeX
on it, then typeset two more times. The error messages that LaTeX gives
will let you know what is still needed.

\subsubsection{NOT Using BibTeX}
If you want NOT to use BibTeX, you will need to include your references in the manuscript's .tex file using the appropriate formatting. Here's a very brief description of one way to do it.

In the .tex file, at the end of the body of the paper and before any appendices, you would format references (in the order they should appear) using the $thebibliography$ environment, as shown below.\\[2ex]


\noindent{\it Sample in-file bibliography for NOT using BibTeX to create the References.}
The part in braces after {\it bibitem} is the \underline{identifier} used in a $\backslash cite\{\text{\underline{identifer}}\}$ command
\begin{verbatim}  

\begin{thebibliography}{99}

\bibitem{Balacheff88}  
    Balacheff, N. (1988). Aspects of proof in pupils' practice of 
    school mathematics. In D. Pimm (Ed.), {\em Mathematics, 
    teachers and children}.  Kent, UK: Open University.

\bibitem{Hanna00}
    Hanna, G. (2000).  Proof, explanation and exploration: 
    An overview.  
    {\em Educational Studies in Mathematics, 44}, 5-24.

\bibitem{Harel98}
    Harel, G. & Sowder, L. (1998). Students' proof schemes: 
    Results from exploratory studies. In A. H. Schoenfeld, 
    J. Kaput, & E. Dubinsky (Eds.), {\em Research in 
    Collegiate Mathematics Education. III} (pp. 234-283).
    Providence, RI: American Mathematical Society.
  
\end{thebibliography}
\end{verbatim} 


	
\subsection{Typeset Punctuation and Mathematics}	
A double return (blank line) creates a new paragraph. A paragraph must
contain at least two sentences. 

\subsubsection{Using ``quotation marks'' and dashes --}

LaTeX requires special treatment of quotation marks. The standard 
$<$shift$><$quote$>$ will not format correctly. The LEFT quotation mark 
must be a double `\,` (this is often found on the upper left of the keyboard, with 
the tilde, $\sim$ key). The RIGHT quotation mark 
being two ' \,' single quotation marks in a row, ``like this''  
(the single quote mark is on the mid-right of many keyboards). 
Remember that commas and full stops go ``inside quotation marks,'' 
all other punctuation ``goes outside'' -- unless it is 
``part of the quote itself!'' Also note that a double dash -- is used to 
create a long dash mark while a single dash - is a hyphen.

	
\subsubsection{Using mathematics}

Any use of mathematics beyond the simple enclosing of mathematical 
expressions between dollar signs will require expertise beyond the
scope of this very basic template. 
The books by Goossens et. al \citeyear{Goossens1} and 
Gr\"{a}tzer \citeyear{Gratzer1,Gratzer2} are very helpful.
To include an in-line expression would look like this: $x^{n-2}+7=0$.
To have the mathematics set out on its own line, use double dollar signs
on either end. $$x^{n-2}+7=0$$
	
	

%%%%%	
\section{Theoretical Perspective}	
%%%%%	
This section is typically written in the past tense. 

%%%%%	
\section{Methods}	
%%%%%	 
This section is typically written in the past tense. 
%%%%%	
\section{Results}	
%%%%%	 
Like the earlier sections, the Results section is usually written in the past tense 
in an active voice (i.e., not in passive voice, see \citeNP{APA}, p.~32).  
You may wish to give descriptions or examples in a list. Authors are encouraged
 to use descriptive rather than bulleted lists. 
 See below for an example.\footnote{Only use  subsection (or subsubsection) 
 commands  if there will be at least two such subsections in the section.}  
 See Section 5.20 of the APA {\it Publication Manual} about locating footnotes. 
 The number of the footnote will appear where the {\it footnote} command appears. 
  Please limit the use of footnotes, do your best to incorporate material into the 
  text of the manuscript.

\subsection{Example of the use of the {\it \{itlist\}} environment}
We categorized the main results under three broad themes. Each of these was 
an area of adjustment reported as ``significant'' or ``important'' by the graduate 
students and untenured faculty members in the focus groups. 

[First the raw code, then the typeset version.]
%%% VERBATIM Section to show code in typeset version
\begin{verbatim}
\begin{itlist}
\item[Theme 1 - Personal.] Stresses related to resolving dissonance 
        among self views and personal goals within and outside of 
        graduate work. 
\item[Theme 2 - Intrapersonal.] Challenges of communicating
        effectively with peers, family members, faculty, and staff in 
        the department. We included in this 
        category reports of cultural disconnects between individuals.
\item[Theme 3 - Community.]  Pressures associated with 
        becoming or staying a member of a desired community. 
        This included focus group discussion around
         the idea of being a member of a clearly identified 
         community of practice. 
\end{itlist}
\end{verbatim}
%%%%%%%%%%%%
\begin{itlist}
\item[Theme 1 - Personal.] Stresses related to resolving dissonance 
        among self views and personal goals within and outside of 
        graduate work. 
\item[Theme 2 - Intrapersonal.] Challenges of communicating
        effectively with peers, family members, faculty, and staff in 
        the department. We included in this 
        category reports of cultural disconnects between individuals.
\item[Theme 3 - Community.]  Pressures associated with 
        becoming or staying a member of a desired community. 
        This included focus group discussion around
         the idea of being a member of a clearly identified 
         community of practice. 
\end{itlist}

\subsection{Example of using the {\it \{figure\}} environment}
Like tables and sections, figures can have labels so that they can be referred 
to by label. That way the typesetting program keeps track of the numbering.
Below is an example for including the figures  {\it templatefig-01.eps} and {\it templatefig-02.eps}
 in this manuscript. The bracketed t, [t], instructs LaTeX to place the figure at the top of a page. 
 The bracketed width command tells LaTeX to make the figure 55/100 as wide as the maximum 
 width of text. Change the number (acceptable values are in hundredths 
 between 0.25 and 0.99) in the width command to adjust the displayed size of the figure. 
 Your figure's true size should be NO SMALLER than the displayed size. 
 That is, blowing up a small figure using this command is usually a very bad idea.

{\it Example, continued.} Upon entering the PhD program, graduate student Pat drew the diagram shown 
in Figure~\ref{Pat-pre} %The ~ is to make sure the word Figure and the number of the figure are not typeset on separate lines.
as her concept map of graduate study. Following the two-week 
workshop on {\it Becoming a Successful PhD Student}, Pat provided the sketch 
shown in Figure~\ref{Pat-post}. Two notable differences between the representations 
are the details and the directionality of the relationships perceived by Pat.

Note that inside the {\it figure} environment the caption goes AFTER the 
figure file is called by the {\it includegraphics} command.  In the {\it table}
environment, the caption goes BEFORE the table (see \S\ref{tablesection}).

[The raw code is shown below, the typeset version will place the figures.]
%%% VERBATIM Section to show code in typeset version
\begin{verbatim}
\begin{figure}[t]
   \begin{center}
	\includegraphics[width=.6\linewidth]{templatefig-01} 
	\caption{Pat's drawing of graduate school expectations  
	              before the workshop.}
	\label{Pat-pre} 
   \end{center}
\end{figure}

\begin{figure}[t]
   \begin{center}
	\includegraphics[width=.6\linewidth]{templatefig-02}
	\caption{Pat's drawing of graduate school expectations 
	              after the workshop.}
	\label{Pat-post} 
   \end{center}
\end{figure}
\end{verbatim}
%%%%%%%%%%%
\begin{figure}[t]
   \begin{center}
	\includegraphics[width=.6\linewidth]{templatefig-01} 
	\caption{Pat's drawing of graduate school expectations  
	              before the workshop.}
	\label{Pat-pre} 
   \end{center}
\end{figure}

\begin{figure}[t]
   \begin{center}
	\includegraphics[width=.6\linewidth]{templatefig-02}
	\caption{Pat's drawing of graduate school expectations 
	              after the workshop.}
	\label{Pat-post} 
   \end{center}
\end{figure}
%



In order for the above to typeset correctly, your folder would include two .eps  files: 
\begin{enumerate}
\item templatefig-01.eps 
\item templatefig-02.eps 
\end{enumerate}
The AMS publications department requires RCME to provide EPS files for 
every figure. If you have only PDF files for your figures, please send the 
PDF files. The Production Editor will attempt to generate EPS versions of them.

%%%%%%%%%%%%% 
\subsection{Example of using the {\it \{table\}} environment}
\label{tablesection}
%%%%%%%%%%%%% 
Any tables in your paper will have to be formatted using LaTeX commands 
inside $table$ and $tabular$ environments. For example, the raw LaTeX, 
below produces the typset table on this page. As in the {\it figure} environment, the [t] tells LaTeX to put the table at the top of a page.

[First the raw code, the typeset version will place the table]

%%% VERBATIM Section to show code in typeset version
\begin{verbatim}
\begin{center}
\begin{table}[t]  %default is t for top of page 
\caption{Fall 1990 Calculus III grades for study participants
  and for all students enrolled in the course.}  
\label{T:grades}
\begin{tabular}{c r r r r} \hline 
Grade  &\multicolumn{2}{c}{ Participants }	         
       &\multicolumn{2}{c}{ All Students } \\ \hline
A   &4  & (17\%)  &8  & (5\%)  \\
B   &6  & (27\%)  &24 & (15\%)  \\
C   &7  & (30\%)  &49 & (30\%)  \\
D   &4  & (17\%)  &41 & (25\%)  \\
F   &2  & (9\%)	  &33 & (20\%)  \\
W   &0  & (0\%)   &10 & (6\%)   \\ 
Total	 &23 & (100\%)	&165  & (100\%) \\ \hline
\end{tabular}
\end{table}
\end{center}
\end{verbatim}
%%%%%%%%%%%%
%%%%%%%%%%%%% 
\begin{center}
\begin{table}[t]  %default is t for top of page 
\caption{Fall 1990 Calculus III grades for study participants
  and for all students enrolled in the course.}  
\label{T:grades}
\begin{tabular}{c r r r r} \hline 
Grade  &\multicolumn{2}{c}{ Participants }	         
       &\multicolumn{2}{c}{ All Students } \\ \hline
A   &4  & (17\%)  &8  & (5\%)  \\
B   &6  & (27\%)  &24 & (15\%)  \\
C   &7  & (30\%)  &49 & (30\%)  \\
D   &4  & (17\%)  &41 & (25\%)  \\
F   &2  & (9\%)	  &33 & (20\%)  \\
W   &0  & (0\%)   &10 & (6\%)   \\ 
Total	 &23 & (100\%)	&165  & (100\%) \\ \hline
\end{tabular}
\end{table}
\end{center}
%%%%%%%%%%%%
There are several formatting characters in the $tabular$ environment:
\begin{itlist}
\item[Alignment within Columns.] The $c$ and four $r$s in 
        \begin{verbatim}\begin{tabular}{c r r r r}\end{verbatim} 
         tell LaTeX to create a table with five columns, the first 
         column has centered material, the other four columns have 
         material that is aligned on the right. To get left aligned 
         material in the third column, one would change the second 
         $r$ to an $l$.
\item[Ampersand {\rm{\&}}.] The ampersand is used to indicate the    
      beginning of the next column (there is no \& before the 
      first column).
\item[Line Returns, $\backslash\backslash$.] \verb+ \\ +
   is used to create a line return to the next row in a table.
\item[Horizontal rule, $\backslash$hline.] The \verb+ \hline+ command  creates a horizontal line AND a  
            line return in the table
\end{itlist}

Also used in the example table is the \verb+\multicolumn+ command. 
For more complicated formatting in a table, including a multirow entry, 
seek help from an expert!  The basic table example given here does not 
allow for multiple lines in a single row.

If you are a novice at using LaTeX, you can try using the template in 
combination with the expertise of a LaTeX-savvy colleague and the 
book {\it The LaTeX Companion} \cite{Goossens1,Goossens2}.

\subsection{Captions}
As mentioned above, be aware that inside the {\it figure} environment the caption should be entered AFTER the 
figure file is called by the $includegraphics$ command.  In the $table$ 
environment, the caption should be entered BEFORE the table (see the code for figure and table inclusion above).
%%%%%	
\section{Discussion}	
%%%%%	 
This section is typically written in the PRESENT tense \cite{APA}.
%%%%%	
\section{Conclusion}	
%%%%%	 
If you have a separate section for concluding remarks, directions for 
further research, or implications for practice, it is also usual to write it 
in the present tense.
%%%%%	
\section*{Acknowledgments} % the command section* gives an unnumbered section.
If your \verb+\thanks{}+ entry (at the beginning of the {\it .tex} file, with the author and title information) will take up more than two lines of footnote on the first page, then do not use \verb+\thanks{}+. For example, the standard NSF disclaimer takes too much space and is more appropriate as an acknowledgment. This material is based upon work supported by the National Science Foundation under Grant Nos. DGE9912345 and DGE0212345. Any opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).
%%%%%	 
%%%%%	 
\appendix      % if there are appended sections.
\section{Interview Prompts}
If appropriate, you may have one or more appendices that offer detail, 
forms, or other illustrations of instruments used in the research.
%%%%%%%%%%%%%%%%%%
\bibliographystyle{apacite}  % The section and header References is automatically generated by LaTeX.
\bibliography{templaterefs}  % The braces contain the name of the bib file, without the .bib on the end.

%%%%%%%%%%%%%%%
\end{document}
%%%%%%%%%%%%%%%