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The Math Without Borders Home Study Companion series offers high school math video teaching courses presented by David Chandler on flash drives in MP4 format. Videos serve as companions to Paul A. Foerster’s texts for Algebra 1, Algebra 2/Trigonometry, Precalculus, and Calculus. The Math Without Borders Geometry video instruction supports the text Geometry: A Guided Inquiry by Chakerian, Crabill, and Stein rather than a text by Foerster. The videos provide students with the presentations of an experienced teacher. Both videos and textbooks are required, but textbooks must be purchased separately.
Each course needs to be copied from the flash drive onto your computer. Your computer needs to have speakers or headphones for the student to listen to the audio tracks for the instruction. Students will need either a downloaded scientific calculator they can use on their computer or a handheld calculator for all courses. Some courses benefit from the presence of a spreadsheet program; Microsoft Excel works as do the free Open Office Calc or Libre Office programs. The GeoGebra program is optional for Algebra 1.
While there are a number of somewhat similar math courses on DVD-ROM or through the internet, most of those designed for homeschoolers use texts that are not as challenging as those used with this series. Foerster’s books, in particular, have long been recognized as among the best high school math texts. However, they assume the presence of a teacher and are too difficult for students to use on their own. The level of the math taught in each text is above average. For example Foerster's Algebra 1 includes functions, trigonometric functions, and quadratic functions, topics often covered at higher levels in other series.
The Home Study Companions will work with earlier editions of each text, so you might find used copies at lower prices.
For the three courses using Foerster’s textbooks, experienced teacher David Chandler talks students through each of the key concepts in each section of the textbook using a whiteboard to teach the concepts and work through examples. He follows the text, occasionally teaching in a slightly different fashion for the sake of clarity. Chandler sometimes expands on a topic that he knows is particularly troublesome to students. He pulls up an online calculator and other tools such as Geogebra (a free, computer-based substitute for a graphing calculator available at http://www.geogebra.org/cms/download) to illustrate lessons....(Students will need either a downloaded scientific calculator they can use on their computer or a handheld calculator.)
After he’s taught the concept, he typically works through a fair number of examples before he leaves students to work through problems on their own. Answers to odd problems are at the back of the texts. Chapter reviews and/or chapter tests within the textbooks can be used for assessment. All of the courses have narrated solutions for about half of the problems (the recommended assignment) worked out on video. A separate solutions manual for each course is available from the publisher of each text, but these are probably not necessary.
For Home Study Companion: Algebra 1, you should read through Chandler’s notes online at http://mathwithoutborders.com/?page_id=4. The text you will need is Algebra 1: Expressions, Equations, and Applications....
The full title of the Algebra 2 text is Algebra and Trigonometry: Functions and Applications....Read Chandler’s notes for this course at http://mathwithoutborders.com/?page_id=9.
Precalculus with Trigonometry: Concepts and Applications is the text for Home Study Companion: Precalculus. Go to http://mathwithoutborders.com/?page_id=11 for Chandler’s notes for this course....
The Calculus course uses the text Calculus: Concepts and Applications, 2nd edition. While students will use a scientific calculator and Geogebra, Chandler also teaches them how to use a spreadsheet program (Excel or the free program Libre Office "Calc") as a calculation tool.
You can see from the technological tools Chandler uses that these courses are more sophisticated than many others used by homeschoolers. They will provide excellent preparation for those who will continue with higher math after they graduate. Familiarity with the “tools of the trade” will be a big bonus.
The Geometry course differs from the others with greater use of the textbook and less video instruction. Students work through the “Central Problem” that begins the chapter. The central problem itself is used to teach new material. Students study examples, work through practice problems, and do investigations....Following this are a Central self-quiz, a review section and a review self-test....
While the Home Study Companion: Geometry has video solutions for the Central review section, it also has PDF files with complete solutions for all problems in both the Central and Project sections....
Some chapters have “extensions” on the Home Study Companion to cover topics in the current math standards that were not covered in the textbook. Sections for algebra review are also included.
Demonstrations using Geogabra are used throughout the Geometry course. Students will also create their own geometric constructions, so they need to have a ruler (showing metric units), a protractor, and a compass. Graph paper and a scientific calculator are also required.
Sample Home Study Companion lessons are available on the Math Without Borders website. You might want to read Chandler’s notes for each course (links listed above) before purchasing since they provide detailed information about scheduling and course content that is very helpful.
Doing a quick scan on Amazon, it looks like all of the texts are readily available with the most expensive around $70 and most much less than that. So the combined cost of text and Home Study Companion is quite low for courses of this caliber.
Homeschoolers should find Home Study Companions one of the least expensive ways to complete high school math courses at challenging levels with interesting course content. This combination of outstanding textbooks and an experienced teacher on the computer should make these courses practical even when parents lack math background.