According to the content of this research article, both authors reported the main content of how to use technology to teach and learn trigonometry in secondary school, especially the use[r]
(1)Summary of “Teaching and Learning Trigonometry with Technology” Written by The Minh Tran September 2012 Teaching and Learning Trigonometry with Technology was written by Barry Kissane and Marian Kemp and was published by Mathematics and Technology, LLC in the United States and was presented at the 14th Asian Technology Conference in Mathematics in Beijing in 2009 According to the content of this research article, both authors reported the main content of how to use technology to teach and learn trigonometry in secondary school, especially the use of technology in a modern school classroom today This article has eight parts, including the abstract, introduction, definition, circular function and unit circles, graphs of trigonometric functions, trigonometric identities and equations, and conclusion Furthermore, the article has ten references in the end of article In the part of the abstract and introduction, the authors argued the problems of great importance in the use of calculators, computers, and the Internet to teach trigonometry in secondary school though some methods, examples, and graphs Otherwise, these parts introduced the differences in teaching and learning between a modern classroom with the use of technology and a traditional classroom without the use of technology In the first part of the next two parts, the authors defined trigonometric ratios by using two simple examples with the use of Cabri Geometry II Plus software, the second part, the authors explored the unit circle applet with new technology from a Flash applet on the Internet to use in teaching Applying this application, teachers can compose (2) these applets for their own lectures and then they can save these applets and teach offline at anytime in the classroom Typically, the authors featured the technology of graphics calculators According to the content of the article, the unit circle is analyzed particularly by examples and figures and is drawn in visual graphs though calculator functions on a Casio fx – 9860G II graphics calculator Next, the article presented two further parts in this article is the part of graphs of trigonometric functions and trigonometric identities and equations In the part on graphs of trigonometric functions, the authors offered applications on computers and on graphics calculators An application titled “ The Japanese Manipula Math collection “ introduced to students and teachers for use offline in the classroom; in other words, the functions are plotted and illustrated by the graphics on the screen of the Casio fx – 9860G II graphics calculator From these graphics, students can understand the relationships between functions and graphics distinctively; moreover, the authors presented statistical modeling on the graphics calculator To apply this statistical modeling, the authors used a graphics calculator to input a list of values in the statistic mode then used the SinReg function to ascertain an equation and the graph of this equation In the last part of methods, the article declared the part of trigonometric identities and equations While the article had the formulas of the Sine and Cosine functions, the article handled the graphs to prove the formulas by the figures on the screen of a graphics calculator These graphs were described in the part of the article on identities using a graphics calculator Finally, the authors remarked on trigonometric equations with a computer algebra system (CAS) The special technology of this system is issued by the Casio ClassPad graphics calculator This graphics calculator solved trigonometric equations to find solutions and the experimental proof of trigonometric (3) formulas The authors provided commands to solve problems from the screen of this graphics calculator In the last section of the article, the authors concluded that technology is required for learners and teachers In learning and teaching, the use of technology will help to solve mathematical problems quickly and will illustrate the claims though visual graphs In particular, students will be helped to intimately understand trigonometric concepts through technology in secondary school Reference Kissane,B & Kemp,M (2009) Teaching and Learning Trigonometry with Technology Proceeding of the 14th Asian Technology Conference in Mathematics Blacksburg, VA: Mathematics and Technology, LLC, 315-324 (4)