{"id":138,"date":"2016-06-08T17:31:03","date_gmt":"2016-06-08T17:31:03","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/waymaker-level3-english\/?post_type=chapter&#038;p=138"},"modified":"2017-04-30T19:06:36","modified_gmt":"2017-04-30T19:06:36","slug":"text-how-to-read-effectively-in-math","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/suny-engcomp1-wmopen\/chapter\/text-how-to-read-effectively-in-math\/","title":{"raw":"How to Read Effectively in Math","rendered":"How to Read Effectively in Math"},"content":{"raw":"<h2 class=\"p1\">Introduction<\/h2>\r\n<p class=\"p1\">Math text typically alternates passages of explanation in English with pieces of mathematics such as example problems.<\/p>\r\n<p class=\"p2\">When reading explanatory material in a math text\u2026<\/p>\r\n\r\n<ul>\r\n \t<li class=\"p3\">Read every word, one word at a time.\u00a0You can\u2019t catch the \u201cdrift\u201d by skimming<\/li>\r\n \t<li class=\"p3\">Every word counts (even 2-letter ones)<\/li>\r\n<\/ul>\r\n<img class=\"aligncenter wp-image-140\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/107\/2016\/06\/08173323\/6780505466_15e846a5e4_z.jpg\" alt=\"Green figure made out of play-doh, hands to its head, posed in front of a stack of math textbooks. The phrase &quot;math&quot; and simple equations are spelled out in rolled-out play-doh as well.\" width=\"420\" height=\"281\" \/>\r\n<h2 class=\"p2\">Forget About Speed Reading<\/h2>\r\n<p class=\"p2\">Take your time.\u00a0Make sure you understand each sentence before going on to the next.<\/p>\r\n\r\n<ul>\r\n \t<li class=\"p3\">Remember that familiar words may have different mathematical meanings you need to learn<\/li>\r\n \t<li class=\"p3\">If you don\u2019t understand how a word is used, STOP and find out before going on<\/li>\r\n \t<li class=\"p3\">Reread as many times as necessary from the beginning<\/li>\r\n \t<li class=\"p3\">When reading math text, <strong>slower is better<\/strong><\/li>\r\n<\/ul>\r\n<h2 class=\"p2\">When looking at mathematics (equations and numerical expressions)\u2026<\/h2>\r\n<ul>\r\n \t<li class=\"p3\">See how each line follows from the line before<\/li>\r\n \t<li class=\"p3\">Read any written explanations the author gives you<\/li>\r\n \t<li class=\"p3\">Be sure you know where each line comes from before going on<\/li>\r\n \t<li class=\"p3\">Do not skip steps!<\/li>\r\n<\/ul>\r\n<h2 class=\"p2\">Read with pencil and paper in hand<\/h2>\r\n<ul>\r\n \t<li class=\"p5\">Reproduce examples as you go along<\/li>\r\n \t<li class=\"p5\">Try to work out each line for yourself, step by step<\/li>\r\n<\/ul>\r\n<h3 class=\"p2\">Go over problems that the author has worked out in detail<\/h3>\r\n<p class=\"p3\">Successful students rely heavily upon these.\u00a0Go through them until you understand every step.<\/p>\r\n\r\n<h2 class=\"p2\">How to work a solved problem in the textbook<\/h2>\r\n<ol>\r\n \t<li class=\"p3\">Work through the problem one step at a time<\/li>\r\n \t<li class=\"p3\">Close the book and try to work it again on your own<\/li>\r\n \t<li class=\"p3\">Repeat until you can reproduce the solution with the book closed<\/li>\r\n \t<li class=\"p3\">Try not\u00a0to memorize the solution<\/li>\r\n \t<li class=\"p3\">Keep track of \u201cwhat to do\u201d to move from each line to the next<\/li>\r\n \t<li class=\"p3\">It\u2019s okay if your version has more lines than the author\u2019s (it may take you two or three steps to accomplish what the author does in one). This is a good sign that you\u2019re thinking for yourself!<\/li>\r\n \t<li class=\"p3\">Be patient. It\u2019s common to spend an hour or two on a single page. It\u2019s worth your time to learn the process.<\/li>\r\n<\/ol>\r\n<p class=\"p3\">After you can work through the solved problems on your own, the homework should be much easier since there will be similar problems. <b>Time spent on problems the author has solved for you will pay off in higher grades.<\/b><\/p>\r\n<p class=\"p3\">Don\u2019t worry if the author or your instructor makes it \u201clook easy.\u201d They work hard when you aren\u2019t looking. The author chooses \u201ccleaned up\u201d problems for his or her textbook. Teachers do the same thing when preparing for a lecture. Good math is messy! If you get really lost, scrap your work and start over on that problem.<\/p>\r\n\r\n<h2 class=\"p3\">Math texts with visual\u00a0illustrations<\/h2>\r\n<p class=\"p3\"><img class=\"alignright wp-image-142\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/107\/2016\/06\/08174100\/19743890_a0fa37ac80_z-300x225.jpg\" alt=\"Stack of dice with numbers rather than dots on each side\" width=\"216\" height=\"163\" \/>Spend time studying any pictures.\u00a0Every line and symbol is there for a specific reason.\u00a0Take the time to understand the picture thoroughly\u2014in detail. Pay special attention to graphs and charts (they convey lots of information in a small space).<\/p>\r\n\r\n<h2 class=\"p3\">Conclusion<\/h2>\r\n<p class=\"p3\">You don\u2019t merely \u201cread\u201d a math textbook\u2014you work through it. The information has to be dug out, not just skimmed over. It is a slow process, but it\u2019s the only way to really understand what the math text is trying to tell you.<\/p>\r\n<p class=\"p3\">The bottom line is to <strong>go slow<\/strong> when reading math text. It\u2019s not a race to see how fast you finish, but how much you understand.<\/p>\r\n<p class=\"p3\">So be patient, remember that \u201cslow is fast,\u201d and enjoy math reading!<\/p>","rendered":"<h2 class=\"p1\">Introduction<\/h2>\n<p class=\"p1\">Math text typically alternates passages of explanation in English with pieces of mathematics such as example problems.<\/p>\n<p class=\"p2\">When reading explanatory material in a math text\u2026<\/p>\n<ul>\n<li class=\"p3\">Read every word, one word at a time.\u00a0You can\u2019t catch the \u201cdrift\u201d by skimming<\/li>\n<li class=\"p3\">Every word counts (even 2-letter ones)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-140\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/107\/2016\/06\/08173323\/6780505466_15e846a5e4_z.jpg\" alt=\"Green figure made out of play-doh, hands to its head, posed in front of a stack of math textbooks. The phrase &quot;math&quot; and simple equations are spelled out in rolled-out play-doh as well.\" width=\"420\" height=\"281\" \/><\/p>\n<h2 class=\"p2\">Forget About Speed Reading<\/h2>\n<p class=\"p2\">Take your time.\u00a0Make sure you understand each sentence before going on to the next.<\/p>\n<ul>\n<li class=\"p3\">Remember that familiar words may have different mathematical meanings you need to learn<\/li>\n<li class=\"p3\">If you don\u2019t understand how a word is used, STOP and find out before going on<\/li>\n<li class=\"p3\">Reread as many times as necessary from the beginning<\/li>\n<li class=\"p3\">When reading math text, <strong>slower is better<\/strong><\/li>\n<\/ul>\n<h2 class=\"p2\">When looking at mathematics (equations and numerical expressions)\u2026<\/h2>\n<ul>\n<li class=\"p3\">See how each line follows from the line before<\/li>\n<li class=\"p3\">Read any written explanations the author gives you<\/li>\n<li class=\"p3\">Be sure you know where each line comes from before going on<\/li>\n<li class=\"p3\">Do not skip steps!<\/li>\n<\/ul>\n<h2 class=\"p2\">Read with pencil and paper in hand<\/h2>\n<ul>\n<li class=\"p5\">Reproduce examples as you go along<\/li>\n<li class=\"p5\">Try to work out each line for yourself, step by step<\/li>\n<\/ul>\n<h3 class=\"p2\">Go over problems that the author has worked out in detail<\/h3>\n<p class=\"p3\">Successful students rely heavily upon these.\u00a0Go through them until you understand every step.<\/p>\n<h2 class=\"p2\">How to work a solved problem in the textbook<\/h2>\n<ol>\n<li class=\"p3\">Work through the problem one step at a time<\/li>\n<li class=\"p3\">Close the book and try to work it again on your own<\/li>\n<li class=\"p3\">Repeat until you can reproduce the solution with the book closed<\/li>\n<li class=\"p3\">Try not\u00a0to memorize the solution<\/li>\n<li class=\"p3\">Keep track of \u201cwhat to do\u201d to move from each line to the next<\/li>\n<li class=\"p3\">It\u2019s okay if your version has more lines than the author\u2019s (it may take you two or three steps to accomplish what the author does in one). This is a good sign that you\u2019re thinking for yourself!<\/li>\n<li class=\"p3\">Be patient. It\u2019s common to spend an hour or two on a single page. It\u2019s worth your time to learn the process.<\/li>\n<\/ol>\n<p class=\"p3\">After you can work through the solved problems on your own, the homework should be much easier since there will be similar problems. <b>Time spent on problems the author has solved for you will pay off in higher grades.<\/b><\/p>\n<p class=\"p3\">Don\u2019t worry if the author or your instructor makes it \u201clook easy.\u201d They work hard when you aren\u2019t looking. The author chooses \u201ccleaned up\u201d problems for his or her textbook. Teachers do the same thing when preparing for a lecture. Good math is messy! If you get really lost, scrap your work and start over on that problem.<\/p>\n<h2 class=\"p3\">Math texts with visual\u00a0illustrations<\/h2>\n<p class=\"p3\"><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-142\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/107\/2016\/06\/08174100\/19743890_a0fa37ac80_z-300x225.jpg\" alt=\"Stack of dice with numbers rather than dots on each side\" width=\"216\" height=\"163\" \/>Spend time studying any pictures.\u00a0Every line and symbol is there for a specific reason.\u00a0Take the time to understand the picture thoroughly\u2014in detail. Pay special attention to graphs and charts (they convey lots of information in a small space).<\/p>\n<h2 class=\"p3\">Conclusion<\/h2>\n<p class=\"p3\">You don\u2019t merely \u201cread\u201d a math textbook\u2014you work through it. The information has to be dug out, not just skimmed over. It is a slow process, but it\u2019s the only way to really understand what the math text is trying to tell you.<\/p>\n<p class=\"p3\">The bottom line is to <strong>go slow<\/strong> when reading math text. It\u2019s not a race to see how fast you finish, but how much you understand.<\/p>\n<p class=\"p3\">So be patient, remember that \u201cslow is fast,\u201d and enjoy math reading!<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-138\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>How to Read a Math Textbook. <strong>Provided by<\/strong>: Great Basin College. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/www.gbcnv.edu\/documents\/ASC\/docs\/00000075.pdf\">http:\/\/www.gbcnv.edu\/documents\/ASC\/docs\/00000075.pdf<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/\">CC BY-NC-ND: Attribution-NonCommercial-NoDerivatives <\/a><\/em><\/li><li>Image of math books and figure. <strong>Authored by<\/strong>: Jimmie. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/flic.kr\/p\/bkaS3E\">https:\/\/flic.kr\/p\/bkaS3E<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Image of dice. <strong>Authored by<\/strong>: Dicemanic. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/flic.kr\/p\/2KcaU\">https:\/\/flic.kr\/p\/2KcaU<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":19,"menu_order":3,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"How to Read a Math Textbook\",\"author\":\"\",\"organization\":\"Great Basin College\",\"url\":\"http:\/\/www.gbcnv.edu\/documents\/ASC\/docs\/00000075.pdf\",\"project\":\"\",\"license\":\"cc-by-nc-nd\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Image of math books and figure\",\"author\":\"Jimmie\",\"organization\":\"\",\"url\":\"https:\/\/flic.kr\/p\/bkaS3E\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Image of dice\",\"author\":\"Dicemanic\",\"organization\":\"\",\"url\":\"https:\/\/flic.kr\/p\/2KcaU\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-138","chapter","type-chapter","status-publish","hentry"],"part":1835,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/suny-engcomp1-wmopen\/wp-json\/pressbooks\/v2\/chapters\/138","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/suny-engcomp1-wmopen\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/suny-engcomp1-wmopen\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-engcomp1-wmopen\/wp-json\/wp\/v2\/users\/19"}],"version-history":[{"count":3,"href":"https:\/\/courses.lumenlearning.com\/suny-engcomp1-wmopen\/wp-json\/pressbooks\/v2\/chapters\/138\/revisions"}],"predecessor-version":[{"id":1699,"href":"https:\/\/courses.lumenlearning.com\/suny-engcomp1-wmopen\/wp-json\/pressbooks\/v2\/chapters\/138\/revisions\/1699"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/suny-engcomp1-wmopen\/wp-json\/pressbooks\/v2\/parts\/1835"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/suny-engcomp1-wmopen\/wp-json\/pressbooks\/v2\/chapters\/138\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/suny-engcomp1-wmopen\/wp-json\/wp\/v2\/media?parent=138"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-engcomp1-wmopen\/wp-json\/pressbooks\/v2\/chapter-type?post=138"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-engcomp1-wmopen\/wp-json\/wp\/v2\/contributor?post=138"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-engcomp1-wmopen\/wp-json\/wp\/v2\/license?post=138"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}