Mathematics Concept & Skill Development Lecture Series: Webvideo consolidation of site lessons and lesson ideas in preparation. Price to be determined. Bright Students: Top universities want you. While many have high fees: many will lower them, many will provide funds, many have more scholarships than students. Postage is cheap. Apply and ask how much help is available. Caution: some programs are rewarding. Others lead nowhere. After acceptance, it may be easy or not to switch. Are you a careful reader, writer and thinker?
Five logic chapters lead to greater precision and comprehension in reading and
writing at home, in school, at work and in mathematics. Early High School Arithmetic
Deciml Place Value  funny ways to read multidigit decimals forwards and
backwards in groups of 3 or 6. Early High School Algebra
What is
a Variable?  this entertaining oral & geometric view
may be before and besides more formal definitions  is the view mathematically
correct? Early High School GeometryMaps + Plans Use  Measurement use maps, plans and diagrams drawn to scale.  Coordinates  Use them not only for locating points but also for rotating and translating in the plane.  What is Similarity  another view of using maps, plans and diagrams drawn to scale in the plane and space. Many humanmade objects are similar by design.  7 Complex Numbers Appetizer. What is or where is the square root of 1. With rectangular and polar coordinates, see how to add, multiply and reflect points or arrows in the plane. The visual or geometric approach here known in various forms since the 1840s, demystifies the square root of 1 and the associated concept of "imaginary" numbers. Here complex number multiplication illustrates rotation and dilation operations in the plane.  Geometric Notions with Ruler & Compass Constructions : 1 Initial Concepts & Terms 2 Angle, Vertex & Side Correspondence in Triangles 3 Triangle Isometry/Congruence 4 Side Side Side Method 5 Side Angle Side Method 6 Angle Bisection 7 Angle Side Angle Method 8 Isoceles Triangles 9 Line Segment Bisection 10 From point to line, Drop Perpendicular 11 How Side Side Side Fails 12 How Side Angle Side Fails 13 How Angle Side Angle Fails 
www.whyslopes.com >> Parent Center >> 17 Math Booklets for children and young teenagers Next: [18 Math Booklets for children and young teenagers Details.] Previous: [16 Secondary Mathematics Tips.] [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18][19] PreSchool and Primary Skill Development StepsFor students before high school, the following inexpensive booklets on arithmetic, geometry and word problems develop skill and concepts with value in daily and adult life, while pointing to a strong base for high school mathematics. Just buy them and use them from your local bookstore, if possible, and online, if needbe. Booklet inspection is recommended before any purchase. Later versions when available are likely to be better than early ones. To see which the recommended booklets fit your needs is to visit a bookstore that stocks them. Arithmetic Skill DevelopmentThe arithmetic booklets include examples and explanations before each group of exercises to show parents how to check and develop the skills and abilities of their children. That makes their arithmetic skill development parent or teacher friendly. Since these works come from different publishers, there is some overlap. Their development of arithmetic skills and practices is usually in sequence.
Kumon Work BooksThe inexpensive Kumon Geometry and Measurement booklets and the Word Problems booklets below complement the counting and arithmetic work books above. The Geometry and Measurement Books develop length, area and volume measurement and calculation skills. They do not cover mass and weight measures. Nor they cover the use of maps, plans and diagrams drawn to scale.
John Mighton's EffortsFor parents wellversed in secondary mathematics, John Mighton's jump math organization has workbooks for at least grades 3 to 8 for athome and inschool use  training sessions for teachers available. Jump math is expanding to cover older students and to support home instruction. Jump Math Samples: plus Fractions for Grades 34 & Grades 56 are not bad. Its Free Resources grades 1 to 8 which I have yet to read  likely to be good]. Jump math is writing mathematics books for homeschooling in British Columbia. Where I prefer a lighter approach for home and school skill development because many parents and instructors may find their time and own skills insufficient for a heavier approach. Less may be better. The Jump math author John Mighton is a mathematician turned actor. So his live presentation skills are better or more flexible than mind. Mighton's philosophy for skill development is similar to mine. That is, skill and concept development steps should be fully described and documented, or a least provided by explanations and exercise in ways easily understood and repeated by instructors and tutors. We differ on the extent of skill development. His booklets cover more than I recommend. That is, I favour a lighter approach, especially in the case where one or both parents did not do well in mathematics. However, sooner or later his work is likely to provide yet another route for skill and concept development at home and in school. Skill development using his methods is likely to be strong. www.whyslopes.com >> Parent Center >> 17 Math Booklets for children and young teenagers Next: [18 Math Booklets for children and young teenagers Details.] Previous: [16 Secondary Mathematics Tips.] [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18][19] 
Road Safety Messages for All: When walking on a road, when is it safer to be on the side allowing one to see oncoming traffic? Play with this [unsigned]
Complex Number Java Applet
to visually do complex number arithmetic with polar and Cartesian coordinates and with the headtotail
addition of arrows in the plane. Click and drag complex numbers A and B to change their locations.
Pattern Based ReasonOnline Volume 1A, Pattern Based Reason, describes origins, benefits and limits of rule and patternbased reason and decisions in society, science, technology, engineering and mathematics. Not all is certain. We may strive for objectivity, but not reach it. Online postscripts offer a storytelling view of learning: [ A ] [ B ] [ C ] [ D ] to suggest how we share theory and practice in many fields of knowledge. Site Reviews1996  Magellan, the McKinley Internet Directory:Mathphobics, this site may ease your fears of the subject, perhaps even help you enjoy it. The tone of the little lessons and "appetizers" on math and logic is unintimidating, sometimes funny and very clear. There are a number of different angles offered, and you do not need to follow any linear lesson plan. Just pick and peck. The site also offers some reflections on teaching, so that teachers can not only use the site as part of their lesson, but also learn from it. 2000  Waterboro Public Library, home schooling section:
CRITICAL THINKING AND LOGIC ... Articles and sections on topics such as
how (and why) to learn mathematics in school; patternbased reason;
finding a number; solving linear equations; painless theorem proving;
algebra and beyond; and complex numbers, trigonometry, and vectors. Also
section on helping your child learn ... . Lots more!
2001  Math Forum News Letter 14,
... new sections on Complex Numbers and the Distributive Law
for Complex Numbers offer a short way to reach and explain:
trigonometry, the Pythagorean theorem,trig formulas for dot and
crossproducts, the cosine law,a converse to the Pythagorean Theorem
2002  NSDL Scout Report for Mathematics, Engineering, Technology  Volume 1, Number 8
Math resources for both students and teachers are given on this site,
spanning the general topics of arithmetic, logic, algebra, calculus,
complex numbers, and Euclidean geometry. Lessons and howtos with clear
descriptions of many important concepts provide a good foundation for
high school and college level mathematics. There are sample problems that
can help students prepare for exams, or teachers can make their own
assignments based on the problems. Everything presented on the site is
not only educational, but interesting as well. There is certainly plenty
of material; however, it is somewhat poorly organized. This does not take
away from the quality of the information, though.
2005  The NSDL Scout Report for Mathematics Engineering and Technology  Volume 4, Number 4
... section Solving Linear Equations ... offers lesson ideas for
teaching linear equations in high school or college. The approach uses
stick diagrams to solve linear equations because they "provide a concrete
or visual context for many of the rules or patterns for solving
equations, a context that may develop equation solving skills and
confidence." The idea is to build up student confidence in problem
solving before presenting any formal algebraic statement of the rule and
patterns for solving equations. ...
Senior High School Geometry

Euclidean Geometry  See how chains of reason appears in and
besides geometric constructions. Calculus Starter Lessons
Why study slopes  this fall 1983 calculus appetizer shone in many
classes at the start of calculus. It could also be given after the intro of slopes
to introduce function maxima and minima at the ends of closed intervals. 