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<p class="lt-math-9820">This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, and become more comfortable exploring unfamiliar mathematical situations.</p> <p class="lt-math-9820"></p><div class="mt-category-container mt-subpage-listings-container noindex"><ul class="mt-sortable-listings-container " id="mt-sortable" data-user-can-edit="true" data-page-id="9820"><li class="mt-sortable-listing " data-page-id="23833"><a title="Front Matter" class="mt-sortable-listing-link mt-edit-section internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/00:_Front_Matter"><span class="mt-sortable-listing-image"><span class="mt-icon-article-topic-guide"></span><img class="internal" alt="mindtouch.page#thumbnail" loading="lazy" src="https://math.libretexts.org/@api/deki/files/28908/mindtouch.page%2523thumbnail?revision=3" /></span><span class="mt-sortable-listing-title">Front Matter</span></a></li><li class="mt-sortable-listing " data-page-id="9827"><a title="1: Problem Solving: Solving a problem for which you know there’s an answer is like climbing a mountain with a guide, along a trail someone else has laid. In mathematics, the truth is somewhere out there in a place no one knows, beyond all the beaten paths. – Yoko Ogawa" class="mt-sortable-listing-link mt-edit-section internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/01:_Problem_Solving"><span class="mt-sortable-listing-image"><span class="mt-icon-article-topic-guide"></span><img class="internal" alt="mindtouch.page#thumbnail" loading="lazy" src="https://math.libretexts.org/@api/deki/files/10236/mindtouch.page%2523thumbnail?revision=2" /></span><span class="mt-sortable-listing-title">1: Problem Solving</span></a></li><li class="mt-sortable-listing " data-page-id="9834"><a title="2: Place Value: The idea of expressing all quantities by nine digits whereby is imparted to them both an absolute value and a value of position is so simple that this very simplicity is the very reason for our not being sufficiently aware how much admiration it deserves. -Laplace" class="mt-sortable-listing-link mt-edit-section internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/02:_Place_Value"><span class="mt-sortable-listing-image"><span class="mt-icon-article-topic-guide"></span><img class="internal" alt="mindtouch.page#thumbnail" loading="lazy" src="https://math.libretexts.org/@api/deki/files/10256/mindtouch.page%2523thumbnail?revision=2" /></span><span class="mt-sortable-listing-title">2: Place Value</span></a></li><li class="mt-sortable-listing " data-page-id="9841"><a title="3: Number and Operations: The essence of mathematics is not to make simple things complicated, but to make complicated things simple. -S. Gudder" class="mt-sortable-listing-link mt-edit-section internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/03:_Number_and_Operations"><span class="mt-sortable-listing-image"><span class="mt-icon-article-topic-guide"></span><img class="internal" alt="mindtouch.page#thumbnail" loading="lazy" src="https://math.libretexts.org/@api/deki/files/10315/mindtouch.page%2523thumbnail?revision=2" /></span><span class="mt-sortable-listing-title">3: Number and Operations</span></a></li><li class="mt-sortable-listing " data-page-id="9848"><a title="4: Fractions: A man is like a fraction whose numerator is what he is and whose denominator is what he thinks of himself. The larger the denominator, the smaller the fraction. —Leo Tolstoy" class="mt-sortable-listing-link mt-edit-section internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/04:_Fractions"><span class="mt-sortable-listing-image"><span class="mt-icon-article-topic-guide"></span><img class="internal" alt="mindtouch.page#thumbnail" loading="lazy" src="https://math.libretexts.org/@api/deki/files/10417/mindtouch.page%2523thumbnail?revision=2" /></span><span class="mt-sortable-listing-title">4: Fractions</span></a></li><li class="mt-sortable-listing " data-page-id="9855"><a title="5: Patterns and Algebraic Thinking: Doing mathematics should always mean finding patterns and crafting beautiful and meaningful explanations. -Paul Lockhart" class="mt-sortable-listing-link mt-edit-section internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/05:_Patterns_and_Algebraic_Thinking"><span class="mt-sortable-listing-image"><span class="mt-icon-article-topic-guide"></span><img class="internal" alt="mindtouch.page#thumbnail" loading="lazy" src="https://math.libretexts.org/@api/deki/files/10547/mindtouch.page%2523thumbnail?revision=2" /></span><span class="mt-sortable-listing-title">5: Patterns and Algebraic Thinking</span></a></li><li class="mt-sortable-listing " data-page-id="9862"><a title="6: Place Value and Decimals: I always say when you see that old black-and-white footage of the rocket on the launch pad and it falls over and explodes, that’s because people had slide rules. Not having the decimal point is a real drawback. You want the decimal point, take it from me. -Bill Nye" class="mt-sortable-listing-link mt-edit-section internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/06:_Place_Value_and_Decimals"><span class="mt-sortable-listing-image"><span class="mt-icon-article-topic-guide"></span><img class="internal" alt="mindtouch.page#thumbnail" loading="lazy" src="https://math.libretexts.org/@api/deki/files/10663/mindtouch.page%2523thumbnail?revision=2" /></span><span class="mt-sortable-listing-title">6: Place Value and Decimals</span></a></li><li class="mt-sortable-listing " data-page-id="9869"><a title="7: Geometry" class="mt-sortable-listing-link mt-edit-section internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/07:_Geometry"><span class="mt-sortable-listing-image"><span class="mt-icon-article-topic-guide"></span><img class="internal" alt="mindtouch.page#thumbnail" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11664/mindtouch.page%2523thumbnail?revision=2" /></span><span class="mt-sortable-listing-title">7: Geometry</span></a></li><li class="mt-sortable-listing " data-page-id="9876"><a title="8: Voyagin on Hōkūle'a" class="mt-sortable-listing-link mt-edit-section internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/08:_Voyagin_on_Hokule'a"><span class="mt-sortable-listing-image"><span class="mt-icon-article-topic-guide"></span><img class="internal" alt="mindtouch.page#thumbnail" loading="lazy" src="https://math.libretexts.org/@api/deki/files/11861/mindtouch.page%2523thumbnail?revision=2" /></span><span class="mt-sortable-listing-title">8: Voyagin on Hōkūle'a</span></a></li><li class="mt-sortable-listing " data-page-id="23834"><a title="Back Matter" class="mt-sortable-listing-link mt-edit-section internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/zz:_Back_Matter"><span class="mt-sortable-listing-image"><span class="mt-icon-article-topic-guide"></span><img class="internal" alt="mindtouch.page#thumbnail" loading="lazy" src="https://math.libretexts.org/@api/deki/files/28909/mindtouch.page%2523thumbnail?revision=3" /></span><span class="mt-sortable-listing-title">Back Matter</span></a></li></ul><script type="application/json" id="mt-localizations-ordered-subpages">/*<![CDATA[*/{"MindTouch.IDF3.label.drag-n-drop":"Drag","MindTouch.IDF3.label.reveal.showAll":"Show all","MindTouch.IDF3.label.reveal.showLess":"Show less","MindTouch.IDF3.warning.page-order-limit-exceeded":"Sorry, there are too many child pages to safely reorder. The greatest number of children you can reorder on a page is {0}."}/*]]>*/</script></div> <p class="hideprint">Thumbnail: Pie (CC-BY-SA-3.0 unported; <a title="User:Claus Ableiter" href="https://commons.wikimedia.org/wiki/User:Claus_Ableiter" target="_blank" rel="external noopener nofollow" class="link-https">Claus Ableiter</a> via <a title="https://en.m.wikipedia.org/wiki/File:K%C3%A4sekuchen.JPG" href="https://en.m.wikipedia.org/wiki/File:K%C3%A4sekuchen.JPG" target="_blank" rel="external noopener nofollow" class="link-https">Wikipedia</a>).</p>
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