\documentclass[10pt,a4paper]{article}

% Packages
\usepackage{fancyhdr}           % For header and footer
\usepackage{multicol}           % Allows multicols in tables
\usepackage{tabularx}           % Intelligent column widths
\usepackage{tabulary}           % Used in header and footer
\usepackage{hhline}             % Border under tables
\usepackage{graphicx}           % For images
\usepackage{xcolor}             % For hex colours
%\usepackage[utf8x]{inputenc}    % For unicode character support
\usepackage[T1]{fontenc}        % Without this we get weird character replacements
\usepackage{colortbl}           % For coloured tables
\usepackage{setspace}           % For line height
\usepackage{lastpage}           % Needed for total page number
\usepackage{seqsplit}           % Splits long words.
%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
\usepackage[normalem]{ulem}     % For underlining links
% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
\usepackage{wasysym}            % Symbols
%\usepackage[english,german,french,spanish,italian]{babel}              % Languages

% Document Info
\author{bibi1606}
\pdfinfo{
  /Title (psycho-apprentissage-scolaire-chapitre-4.pdf)
  /Creator (Cheatography)
  /Author (bibi1606)
  /Subject (Psycho apprentissage scolaire: chapitre 4 Cheat Sheet)
}

% Lengths and widths
\addtolength{\textwidth}{6cm}
\addtolength{\textheight}{-1cm}
\addtolength{\hoffset}{-3cm}
\addtolength{\voffset}{-2cm}
\setlength{\tabcolsep}{0.2cm} % Space between columns
\setlength{\headsep}{-12pt} % Reduce space between header and content
\setlength{\headheight}{85pt} % If less, LaTeX automatically increases it
\renewcommand{\footrulewidth}{0pt} % Remove footer line
\renewcommand{\headrulewidth}{0pt} % Remove header line
\renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit
% This two commands together give roughly
% the right line height in the tables
\renewcommand{\arraystretch}{1.3}
\onehalfspacing

% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
\newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols
\newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns
\newcommand{\tn}{\tabularnewline} % Required as custom column type in use

% Font and Colours
\definecolor{HeadBackground}{HTML}{333333}
\definecolor{FootBackground}{HTML}{666666}
\definecolor{TextColor}{HTML}{333333}
\definecolor{DarkBackground}{HTML}{4E44A3}
\definecolor{LightBackground}{HTML}{F3F3F9}
\renewcommand{\familydefault}{\sfdefault}
\color{TextColor}

% Header and Footer
\pagestyle{fancy}
\fancyhead{} % Set header to blank
\fancyfoot{} % Set footer to blank
\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
    \SetRowColor{DarkBackground}
    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
    }
\end{tabulary}
\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Psycho apprentissage scolaire: chapitre 4 Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{bibi1606} via \textcolor{DarkBackground}{\uline{cheatography.com/167618/cs/36376/}}}
\end{tabulary}
\end{multicols}}

\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}bibi1606 \\
  \uline{cheatography.com/bibi1606} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 2nd February, 2023.\\
   Updated 7th January, 2023.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
  \SetRowColor{white}
  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{2}

\begin{tabularx}{8.4cm}{p{0.8 cm} x{7.2 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Addition et soustraction}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{Avant tout enseignement formel, résolution d'opérations simples à l'aide du {\bf{comptage}}} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
 & Exemple: dès 3 ans, "combien font (3 oranges) et (2 oranges)?" \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{Contrairement à ce que pensait {\emph{Piaget}}, le dénombrement fournit des habilités et des connaissances permettant la construction du nombre} \tn 
% Row Count 7 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{p{0.76 cm} x{3.42 cm} x{3.42 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{8.4cm}}{\bf\textcolor{white}{L'addition simple (un chiffre + un chiffre)}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{3}{x{8.4cm}}{5 stratégies générales:} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
 & 1) {\bf{Utilisation d'objets}} &  \tn 
% Row Count 3 (+ 2)
% Row 2
\SetRowColor{LightBackground}
 & 2) {\bf{Comptage sur les doigts}} &  \tn 
% Row Count 5 (+ 2)
% Row 3
\SetRowColor{white}
 & 3) {\bf{Comptage verbal}} & 1); 2); 3): il existe différentes stratégies de comptage \tn 
% Row Count 9 (+ 4)
% Row 4
\SetRowColor{LightBackground}
 & 4) {\bf{Décompositions}} &  \tn 
% Row Count 11 (+ 2)
% Row 5
\SetRowColor{white}
 & 5) {\bf{Récupération en mémoire}} &  \tn 
% Row Count 13 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{1) Utilisation d'objets}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1672916726_Picture 1.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Besoin d'avoir les objets à disposition (support) -\textgreater{} {\bf{sans}} support il est incapable car il passe par le {\bf{recomptage}}}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{2) Comptage sur les doigts}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1672916792_Picture 2.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{3) Comptage verbal}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1672916822_Picture 3.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{4) Décompositions}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1672916859_Picture 4.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{5) Récupération en mémoire}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1672916885_Picture 5.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Stratégies de comptage}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1672916952_Picture 6.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{{\bf{Stratégie min}} : Additionner le minimum}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Le dév de la résolution des additions simples}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673087599_Picture 1.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{1ère étude par {\emph{Groen}} et {\emph{Parkman}}: {\bf{le modèle minimum}} \newline  \newline {\bf{Résolution des additions "m+n"}} \newline  \newline Avec la stratégie minimum (m, n)}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Les temps de résolution sont prédits par}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673087750_Screenshot 2023-01-07 at 12.34.56.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Enfants \textless{} 6 ans: temps dépend de ce qu'il faut tout recompter}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{m2+n2 est aussi un bon predicteur chez l'adulte}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673087931_Picture 2.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Pourquoi chez l'adulte m2+n2 est un aussi bon predicteur ?}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Aschcraft}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673088072_Screenshot 2023-01-07 at 12.39.21.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{m2+n2  (hypothenus) reflète la stratégie de récupération directe du résultat dans un réseau, une sorte de table d'addition mentale. Plus le m et n sont grands, plus il faudra de temps pour récupérer le résultat \newline  \newline {\bf{Toutefois, à un même âge, il existe différentes stratégies}}}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{A un même âge il existe différentes stratégies}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673088174_Picture 3.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{4.08 cm} x{3.92 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{La soustraction simple}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\emph{Wood, Resnick et Groen}} (1975): & enfants entre 8-10 ans \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Soustraction du type: {\bf{m - n = x}} & {\bf{avec 0 \textless{} m \textless{} 9}} et {\bf{0 \textless{} n \textless{} 8}} \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
{\bf{Résultats similaires à ceux de l'addition}} & Les temps sont prédits par min (n, x) \tn 
% Row Count 7 (+ 3)
% Row 3
\SetRowColor{white}
Sauf pour les doubles (ex: 6-6) ou les doubles inverses (ex: 8-4) & =\textgreater{} récupération en mémoire \tn 
% Row Count 11 (+ 4)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Choix pertinent (Siegler, 1989)}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673089304_Screenshot 2023-01-07 at 12.57.55.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{S'adaptent sur le choix de ce qu'ils vont enlever -\textgreater{} qu'est-ce qui va être le plus facile et le mieux à faire, {\bf{minimiser le coût mental = choix pertinent}} \newline  \newline Plus facile de voir la différence -\textgreater{} compter à l'envers si il y a trop à enlever}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Soustractions écrites}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673092865_Screenshot 2023-01-07 at 13.58.38.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{On relève des erreurs systématiques {\emph{(Young et O'Shea)}} \newline  \newline Face à des impasses, l'enfant devient imaginatif {\emph{(Van Lehn)}} \newline  \newline {\bf{Source majeure d'erreurs:}} \newline - soustraire un grand nombre d'un petit nombre}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Différences entre les pays}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673092940_Screenshot 2023-01-07 at 14.02.06.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Erreurs différentes selon les pays}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673093112_Screenshot 2023-01-07 at 14.03.59.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{{\bf{De ce fait, il existe des erreurs différentes selon les pays}} \newline  \newline Erreur avec la méthode {\bf{""Soustraire l'emprunt"}}:}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Erreurs différentes selon les pays}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673093336_Screenshot 2023-01-07 at 14.06.16.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{{\bf{Source majeure d'erreurs:}} \newline - "emprunter" à la colonne de gauche \newline  \newline L'enfant n'exerce aucun contrôle de type sémantique sur le déroulement de la procédure}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Multiplication et division}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673093568_Screenshot 2023-01-07 at 14.10.44.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{{\bf{Contrairement à l'addition et à la soustraction}}: il n'y a pas de développement spontané \newline  \newline Bien que des stratégies de {\bf{comptage récursif}} (= compter par paquets) ont été observées {\emph{(Lemaire et Siegler)}} \newline  \newline Les multiplications simples sont acquises par apprentissage par coeur des tables}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{4 cm} x{4 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Lien entre multiplication et addition}}  \tn
% Row 0
\SetRowColor{LightBackground}
Chez l'adulte: & temps de réponse pour additions ≈ temps de réponse pour multiplications \tn 
% Row Count 4 (+ 4)
% Row 1
\SetRowColor{white}
\mymulticolumn{2}{x{8.4cm}}{Les adultes récupèrent les résultats en mémoire} \tn 
% Row Count 6 (+ 2)
% Row 2
\SetRowColor{LightBackground}
{\bf{La récupération en mémoire des résultats dépend de la taille des nombres comme l'addition}} & {\bf{EFFET DE TAILLE !}} \tn 
% Row Count 11 (+ 5)
% Row 3
\SetRowColor{white}
 & 2x3 ou 2+3 dure 1sec \tn 
% Row Count 12 (+ 1)
% Row 4
\SetRowColor{LightBackground}
 & 8x9 ou 8+9 dure 1.3sec \tn 
% Row Count 14 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{4 cm} x{4 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Pourquoi un effet de taille?}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{Effet de taille inné} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
{\bf{1) Difficulté avec grandes quantités}} & Voir recherches sur les bébés \tn 
% Row Count 4 (+ 3)
% Row 2
\SetRowColor{LightBackground}
{\bf{2) Ordre d'apprentissage}} & Les petites opérations apprises en premier \tn 
% Row Count 7 (+ 3)
% Row 3
\SetRowColor{white}
 & Tables apprises en premier (2-3) -\textgreater{} plus facilement récupérées et endocdées \tn 
% Row Count 11 (+ 4)
% Row 4
\SetRowColor{LightBackground}
{\bf{3) Fréquence des nombres}} & {\emph{Dehaene et Mehler}} (1992) \tn 
% Row Count 13 (+ 2)
% Row 5
\SetRowColor{white}
 & Plus les nombres sont petits, plus ils sont fréquents dans l'environnement (ex: dans les journaux, système de numérotation des rues, bus, heure, argent...) \tn 
% Row Count 21 (+ 8)
% Row 6
\SetRowColor{LightBackground}
{\bf{4) Fréquence des opérations}} & Les petites opérations sont plus utilisées comme exemple \tn 
% Row Count 24 (+ 3)
% Row 7
\SetRowColor{white}
 & Par les enseignants ou la famille \tn 
% Row Count 26 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Distribution des additions (a+b) par les parents}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673096849_Screenshot 2023-01-07 at 15.04.03.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Distribution des additions (a+b) composées par les parents {\emph{(Siegler et Shrager, 1984)}} \newline  \newline Fréquence d'apparition des opérations dans les livres \newline  \newline Parents expliquent avec des petits chiffres (ex: 1+1, 2+1...) -\textgreater{} très localisé entre le 1 et 2}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Les effets d'interférence}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673097114_Screenshot 2023-01-07 at 15.09.57.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{L'entrée en primaire marque un bouleversement  \newline  \newline Avant la primaire, tout le monde aime compter (fier même) \newline  \newline On est passée au besoin d'acquisition des connaissances, beaucoup d'infos! \newline  \newline Que 36 multiplications alors qu'on apprend des milliers de mots nouveaux!  \newline  \newline Difficulté vient de {\bf{l'effet d'interférence}}}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Structure des faits additifs et multiplicatifs}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673097232_Screenshot 2023-01-07 at 15.13.21.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Structure des faits additifs et multiplicatifs}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673097615_Screenshot 2023-01-07 at 15.16.57.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Apprendre par coeur du matériel extrêmement similaire -\textgreater{} propice aux {\bf{confusions}} \newline  \newline Rarement du hasard quand on se trompe de résultat -\textgreater{} ça appartient seulement à une autre table de multiplication}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Notre mémoire est associative}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673099071_Screenshot 2023-01-07 at 15.43.19.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Notre mémoire va évoquer de manière automatique des infos associées  \newline  \newline Quand on n'arrive pas a récupérer, on récupère qqch de similaire, un indice  \newline  \newline Elle est associative car on évoque tout ce qui est lié  \newline Ex: utile quand on perd des clefs \newline Ca va déclencher une recherche automatique (quand on pense plus à nos clefs, l'endroit où elles sont nous revient) = force \newline  \newline {\bf{Faiblesse}} : dans les apprentissages}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{p{0.8 cm} x{7.2 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{La division}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{L'opération la moins étudiée} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{2}{x{8.4cm}}{{\bf{2 stratégies:}}} \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
 & 1) Récupération de faits multiplicatifs associés {\emph{(Vergnaud)}} \tn 
% Row Count 4 (+ 2)
% Row 3
\SetRowColor{white}
 & 2) Addition récursive du diviseur jusqu'à l'atteinte du dividende {\emph{(Campbel)}} \tn 
% Row Count 7 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{1) Récup. de faits multiplicatifs associés}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673099506_Screenshot 2023-01-07 at 15.50.46.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{2) Addition récursive}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bibi1606_1673099614_Screenshot 2023-01-07 at 15.52.39.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{3.2 cm} x{4.8 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{La division}}  \tn
% Row 0
\SetRowColor{LightBackground}
Multiplication et division: & 1 ou 2 registres mémoriels? {\emph{(Lefevre et Morris)}} \tn 
% Row Count 3 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}