{"id":108,"date":"2006-08-09T20:06:16","date_gmt":"2006-08-09T20:06:16","guid":{"rendered":"http:\/\/scientopia.org\/blogs\/goodmath\/2006\/08\/09\/more-loony-christian-math\/"},"modified":"2006-08-09T20:06:16","modified_gmt":"2006-08-09T20:06:16","slug":"more-loony-christian-math","status":"publish","type":"post","link":"http:\/\/www.goodmath.org\/blog\/2006\/08\/09\/more-loony-christian-math\/","title":{"rendered":"More Loony Christian Math"},"content":{"rendered":"<p>Yesterday, I posted [this article][bozo] about the bozo who didn&#8217;t like his college calculus course because it wasn&#8217;t Christian enough. One of the commenters pointed out that there&#8217;s actually a site online where a college professor from a Christian college actually has [a collection of &#8220;devotionals&#8221;][devotional] to be presented along with the lecture in a basic calculus course.<br \/>\nThey&#8217;re sufficiently insane that I have to quote a couple of them. No comment that I could possibly make could add anything to the sheer goofiness of these.<br \/>\nFor the lesson on &#8220;Function Operations&#8221;:<br \/>\n&gt;**God&#8217;s Surgical Improvements of our Actions**<br \/>\n&gt;<br \/>\n&gt;Genesis 50:15-21, Romans 3:9-10, 21-24<br \/>\n&gt;<br \/>\n&gt;One of the more horrible images in the book of Genesis is that of Joseph being<br \/>\n&gt;sold by his brothers into slavery. This type of hate turned into evil act is a<br \/>\n&gt;common occurrence in our world, too. In the Genesis situation, though, we are<br \/>\n&gt;given the gift of 20-20 hindsight because we know the end of the story. God<br \/>\n&gt;used the brothers&#8217; evil action to prevent starvation of the descendants of<br \/>\n&gt;Abraham. Joseph says, &#8220;You intended to harm me, but God intended it for<br \/>\n&gt;good. ..&#8221; [Gen. 50:20] In the same way, God makes our unrighteous actions<br \/>\n&gt;righteous through Christ. He surgically improves our actions to his own<br \/>\n&gt;purpose.<br \/>\n&gt;<br \/>\n&gt;This idea of twisting something from one form into another is what happens when<br \/>\n&gt;function operations work on elementary functions.  You can start with two<br \/>\n&gt;ordinary benign functions, the reciprocal function 1\/x and sin(x), say, and put<br \/>\n&gt;them together.  Depending on how you put them together, you can create<br \/>\n&gt;something interesting and easily understood, like sin(x)\/x, or something with<br \/>\n&gt;wild behavior, like sin(1\/x).  Either way, you have twisted one object into<br \/>\n&gt;something very different.<br \/>\nFor the lesson on the Limit definition of the derivative:<br \/>\n&gt;**Secant Lines and Sanctification**<br \/>\n&gt;<br \/>\n&gt;Ps. 119:33-40<br \/>\n&gt;In differential calculus we study how a slope of a linear function can be<br \/>\n&gt;generalized to the slope of a function whose graph is curved, creating the<br \/>\n&gt;derivative of the original function. The definition of derivative uses a<br \/>\n&gt;sequence of lines (secant lines) drawn through two points on a function that<br \/>\n&gt;are approaching each other and a single point on the function curve. The<br \/>\n&gt;derivative value or tangent line slope is defined to be the limiting slope<br \/>\n&gt;value of this sequence of secant lines. (See the figures below.)<br \/>\n&gt;<br \/>\n&gt;    Figure 1 : Secant line between 1 and 1.8<br \/>\n&gt;    Figure 2 : Secant line between 1 and 1.5<br \/>\n&gt;    Figure 3: Tangent line to f at x=1<br \/>\n&gt;<br \/>\n&gt;Once a person has been called to be a Christian, we are redeemed by Christ but<br \/>\n&gt;not released from following the law of God. We are justified once but continue<br \/>\n&gt;with the process of sanctification for the remainder of our lives. This<br \/>\n&gt;sanctification process is like the limit process of the secant lines<br \/>\n&gt;approaching the tangent line. There is one distinction between the concepts of<br \/>\n&gt;sanctification and secant line limits, however. In the mathematical contexts,<br \/>\n&gt;we accept results that are &#8220;sufficiently close,&#8221; results that are in an<br \/>\n&gt;epsilon-neighborhood of the desired quantity. While in our quest for<br \/>\n&gt;perfection, the &#8220;better&#8221; we get the further we realize we are from satisfying<br \/>\n&gt;all aspects of the law.<br \/>\nOk, just one more. This one just about had me rolling on the floor! For the lesson on the chain rule:<br \/>\n&gt;**Chain Reactions**<br \/>\n&gt;<br \/>\n&gt;   1 Corin 5:16-21<br \/>\n&gt;<br \/>\n&gt;Once students have seen the chain rule for differentiation of composed<br \/>\n&gt;functions, it is natural to extend the chain rule to nested functions, where<br \/>\n&gt;there is more than two functions that are composed.  Fun problems to<br \/>\n&gt;investigate are ones that are repeated applications of the same function.  Try<br \/>\n&gt;differentiating tan(tan(tan(tan(tan x)))) or ln(ln(ln(ln(ln(ln x))))), for<br \/>\n&gt;example.  Working your way from the outside to the inside yields a derivative<br \/>\n&gt;which is product chain of related functions.<br \/>\n&gt;<br \/>\n&gt;In a similar way, when we interact with other people there is a chain reaction<br \/>\n&gt;to our behavior.  Most people believe that abused children are more likely to<br \/>\n&gt;become abusers themselves someday, for example.  Less dramatic behavior also<br \/>\n&gt;can have a reaction that extends beyond the initial engagement.  A popular<br \/>\n&gt;Warner Brothers film of 2000 &#8220;Pay it Forward&#8221; (based on a novel with the same<br \/>\n&gt;name by Catherine Ryan Hyde) depicts how a chain of reactions to an initial act<br \/>\n&gt;of kindness can change an entire community.  Christians need to be specially<br \/>\n&gt;mindful of this chain reaction, since we are ambassadors for Christ.  Our<br \/>\n&gt;verbal and nonverbal witness can yield unexpected results, especially under the<br \/>\n&gt;influence of the Holy Spirit.<br \/>\nThis, apparently, is how &#8220;real&#8221; Christians are supposed to teach math classes. I seriously wonder how they have time to actually cover the *math* in class if they spend time on this gibberish!<br \/>\n[bozo]: http:\/\/scienceblogs.com\/goodmath\/2006\/08\/math_is_bad_because_it_isnt_ch.php<br \/>\n[devotional]: http:\/\/www.trnty.edu\/faculty\/robbert\/SRobbertWebFolder\/ChristianityMath\/Calculus.html#Chain<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Yesterday, I posted [this article][bozo] about the bozo who didn&#8217;t like his college calculus course because it wasn&#8217;t Christian enough. One of the commenters pointed out that there&#8217;s actually a site online where a college professor from a Christian college actually has [a collection of &#8220;devotionals&#8221;][devotional] to be presented along with the lecture in a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-108","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p4lzZS-1K","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/posts\/108","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/comments?post=108"}],"version-history":[{"count":0,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/posts\/108\/revisions"}],"wp:attachment":[{"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/media?parent=108"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/categories?post=108"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/tags?post=108"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}