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<body><div><br></div><div> <br>My site www.whyslopes.com has a new section<br>"Secondary Mathematics for Ages 11+, a Practical Approach". There is a<br>link to it from the top border of every page. Its URL is<br> <br>www.whyslopes.com/index.php/0400Secondary_Mathematics_-_A_Practical_Approach/<br> <br>Section material provides a coherent guide to technical innovations in other site<br>sections aimed at simplify and easing the learning and teaching of arithmetic and number<br>theory practices, elementary and advance algebra, elementary and advanced geometry, plus<br>two calculus previews with a description of a light calculus course, more descriptive<br>than deductive, aimed at introducing the key ideas in differential and integral<br>calculus. An appendix "Calculus with Proofs for the Keen or Gifted" describes<br>how to reform calculus, limit it to Lipshitz continuous functions, all in a manner<br>that makes proofs simpler and more accessible, at least for the keen and gifted,<br>without loss to calculus skill and concept development in senior secondary or college<br>level mathematics.<br> <br>As of April 14th, the site has a new title "Logic and Mathematics Skill & Concept Development"<br>to better reflect its extent and intent. The site has outgrown its original<br> title "Appetizers and Lessons for Mathematics and Reason" in use since site<br>birth in June 1995. The new section covers key skills and concepts, and shows<br>how to employ site material, 1200 pages in 70 plus sections, in secondary level skill<br>and concept building in mathematics, logic and more generally quantitative skills.<br>The new section results from the study of topics European and American mathematicians were considering<br>in the 1960s for the preparation of university-bound students in commerce, science and<br>engineering. It further results from the somewhat ad hoc of a hundred plus textbooks and<br>exercise books in use from the mid-1960s to the present in primary and secondary schools.<br>Initially, the aim was to reform modern mathematics curricula of the period 1960-1990, the content<br>of which essentially implies the content of today's secondary curricula apart from the inclusion of<br>statistical methods. But the result is very different. The discovery of technical innovations<br>including methods for the systematic development of algebra skills in secondary mathematics<br>and calculus led to more practical, skill-oriented approach, one that may be use in home-schooling,<br>in home-tutoring, and in independent schools with control over the curricula they use.<br>Finally, some pages are slow to appear properly due to the use of web-based LaTeX tools MathJax and its younger<br>form jsMath for dynamically typesetting formulas and equations properly. The new section and site <br>as a whole is also the result of the thought in my 1966 onward highschool days that words were missing<br>in the introduction of algebra. In the last four plus decades, I have seen how to remedy most of the difficulties <br>I saw and add multiple innovations, all to make skill development simpler and stronger. </div><div><br></div><div>There is no pleasing everyone. See what you like. If one site element is not to your liking,</div><div>try another. Bon Appetite. <br> <br> <br>Alan Selby<br>Montreal, Quebec<br>April 16, 2012</div></body></html>