Fallacies of Education Businesses Takayuki Yamauchi, Ph.D Dept. of Math, VCSU When I was a junior at UC Berkeley, I attended a speed reading workshop that claims to be superior to Evelyn Wood's Speed Reading Method. The participants at the workshop were given articles and were told to read them as fast as possible under a time limit. There were about 10 sessions in total. After the time limit for an article is over at each session, a multiple-choice test on the content of the article was given. The workshop claimed that the degree of reading comprehension improves with speed showing a straight line graph with positive slope (without any proof, of course). The score of the test was divided by the amount of time needed to finish reading the article. The resultant point was called "the adjusted score", and was used as the only measure of progress. The number of participants was about 50. My score was by far the highest in every session. After the workshop, I read books on real analysis and differential geometry to find out how much my reading comprehension had improved. The result was, ZERO progress in my reading comprehension. The only thing that improved was my scanning speed. Contents of real analysis and differential geometry are very dense and heavy. Even reading 1 line in such books requires drawing diagrams of my own. To verify that a claim in a paragraph is true, I had to go through lengthy calculations. In math, when one gets stuck in any part, one cannot move onto any other paragraph that uses the stuck part no matter how fast one can read up to the point of deadlock. The fallacy of the speed reading workshop lies exactly in the claim that the degree of reading comprehension improves with speed. This workshop was built on a false claim. When the workshop Teaching Generation NeXt was announced in May 2013, I used Google to collect all of his papers, and carefully read them all. I visited all the websites that introduce Mark Taylor. I also tried to find evidence of any efficacy of his method, but could not find any website that evaluates Teaching Generation NeXt. Without any evidence of validity, Mark Taylor's method is only a collection of unproven claims. He claims that his method is universally applicable to all fields even though he has no knowledge of the fields outside of his own. He has no degree or background in math, and has no knowledge of how advanced math is taught. Let us observe the following 2 facts. (1) VCSU offers degrees in over 80 programs. Becoming an expert in even 2 fields is very difficult. It is physically impossible for any individual to become an expert in over 80 distinct fields. (2) Each field has its own unique framework of teaching methods that cannot be transferred to another field. These 2 facts indicate that it is impossible to develop a method that improves teaching methods in every subject. Therefore, any advocator of a method that claims to improve teaching methods in every field must be carefully examined for its validity. I extracted a set of claims from one of his papers, and wrote my response to each of the claims. My responses are shown in blue font. All of his papers has the following first sentence. L1: Faculty struggle to effectively teach our traditionally aged students from Generation NeXt. He showed this sentence at the beginning of the presentation. I find that teaching students becomes increasingly easier every year. My experience is exactly the opposite of what he claims. I have never heard of any math professor who struggled to effectively teach his/her students at all since I started my university teaching career in 2001. When I did a Google search, I found that the word "Generation NeXt" appears only in those websites related to Dr. Mark Taylor. This proves that the first statement in his paper is false. His entire work is built on this false assumption. At the presentation, nobody seemed to notice this false statement. Using Technology to Move Content Learning Out of Class (1) "Increasing activity during class time presumes improved student preparation for class, which obviates spending class time with the traditional delivery of content (lecture). " My teaching method assumes that increasing activity during class time presumes Absolutely Zero student preparation for class. (2) "Class time is too valuable to spend delivering content, most of which is readily available and accessible by students out of class. (Barr and Tagg 1995; Gardiner 1998; O’Banion 1999; Pascarella and Terenzini 1991, 2005)." The content I deliver in class is my original, and is never available anywhere by students out of class. (3) "Preparation should be a necessary precondition for class success on a daily basis, with points awarded both for preparing for class and for the activity in class using that brought content." In my classes, Absolutely Zero Preparation (by students) is a necessary precondition for class success on a daily basis, because preparation with inferior materials my students find on the internet or a text book only confuse and frustrate them (it has a negative influence on them). Since I always come up with better methods than the ones in my note during class, the best method is available to students only during class time. (4) "The primary reason class content is moved out of class is to free class time for active learning. Activity necessarily improves engagement, since the active student is an engaged student. " In my classes, the class content is delivered to students through interactive activities (I call this "Dialog-Type Guided Discovery Method"). The class content delivery method is modified to optimize the learning efficiency of students depending on what response I get from students at each step. So, students are kept busy throughout the class hour with ZERO dull moment. This method is possible precisely because I have been creating new knowledge of mathematics at the frontier of modern mathematics research. Creating new knowledge of mathematics requires me to investigate the applicability and limitations of currently available methods. Through this process, I always discover new characterizations of currently available methods. I then apply the new characterizations to my teaching methods, and create class materials. When I teach a topic, I develop or invent a unique method that exposes the essence of the topic. Whenever I develop a new method, the new method makes the traditional method completely obsolete and unnecessary, just like semiconductors made vacuum tubes completely obsolete and unnecessary. So far, my original new methods have been 2 to 16 times more efficient than the prior methods. Moreover, I upgrade these new methods every semester, just like semiconductor engineers continually upgrade their semiconductors. The concept of innovation is completely absent in Mark Taylor's method. Instructor-Created Resources "Some faculty may believe that their own explanations are superior or more appropriate for their students these instructors, many resources exist to record, package, and post content to make it available to students in preparation for class. It should be stressed that capturing lectures during class for later viewing is not advocated. The goal is to make lecture content available before class, so that students can access it in preparation, to free class time for learning activities." This method has 3 problems. (1) It forces students to spend 50 minutes before class, 50 minutes in class, and 120 or more minutes after class for homework (220 minutes in total). My students spend 0 minute before class, 50 minutes in class, and 30 or less minutes after class for homework (80 minutes or less in total) (the same amount of work that is normally assumed to take 2 hours, precisely because my methods enable students to completely understand the subject covered in class). My method requires 80/220 time of the traditional method (220/80 = 2. 75 times faster), and covers at least 2 times more content. So, my teaching method is at least 5.5 times more efficient for students than Mark Taylor's method. My students say, "When I read a section in the text before class, I can't understand anything even if I spend 3 hours. But when I come to class, I can understand 100% of the material during class time.". (2) Making lecture content available before class requires an instructor to record a lecture before class (especially in teaching a new course), which doubles his or her teaching load in terms of contact hours. Who wants to double his or her teaching load without any compensation? MIT, Harvard, and several other universities have lectures available on YouTube. These lectures cover at least 2 times more content than the lectures given at standard public universities, and are intended for those super elite students who were in the top 1% in their high schools. Most students at standard public universities cannot handle the rigor and speed of these YouTube lectures. Most likely, they will end up spending 3 or more hours trying to understand the lecture video, and still cannot understand the content of the video. (3) When a student fails to or cannot watch the video before class, he or she cannot understand the content of the learning activities, and ends up wasting the class time.