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The Math Forum and Site Content
From 1995 to the present, the Math Forum Editors in Newsletters and one Hotspot of the month have been tracking my site's content and growth. Newsletters articles - site descriptions - are quoted below, latest first.
The descriptions in the Mathforum Newsletters and in other site reviews is not part of the formal peer review process met by articles appearing in mathematics and mathematics education publications. For university hiring and promotion committees, the informal reviews were not authoritative. Yet in the popularization of mathematics, or site content, they may still count.
-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 20 April, 2012 Vol. 17, No. 16 THE MATH FORUM @ DREXEL INTERNET NEWS Grants, Scholarships, and Awards Summer Workshops for Math Teachers | Whyslopes.Com Updated WHYSLOPES.COM UPDATED
Alan Selby has added a new section to his site, entitled "Secondary Mathematics for Ages 11+, a Practical Approach." "Secondary Mathematics" provides a coherent guide to technical innovations that simplify the learning and teaching of arithmetic and number theory practices, elementary and advanced algebra, elementary and advanced geometry. The new section ends with two calculus previews with a description of a light calculus course, more descriptive than deductive, aimed at introducing the key ideas in differential and integral calculus. The appendix "Calculus with Proofs for the Keen or Gifted" describes how to reform calculus. To better reflect his site's extent and intent, Selby has also re-named his site -- originally called "Appetizers and Lessons for Mathematics and Reason," and now "Logic and Mathematics Skill and Concept Development." -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 23 December, 2011 Vol. 16, No. 51 THE MATH FORUM @ DREXEL INTERNET NEWS Effective Teaching with the Math Forum's Problems of the Week eInstruction Contest Winners | WhySlopes.com Updated WHYSLOPES.COM UPDATEDwww.whyslopes.com/index.php/ 0399Mathematics_Skill_Development_Framework/
Alan Selby recently posted a five phase framework for mathematics skill development at his site. The essay "Which Way to Go" introduces it in plain language:www.whyslopes.com/index.php /0399Mathematics_Skill_Development_Framework /0050Which_Way_To_Go.html
-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 18 February, 2011 Vol. 16, No. 7 THE MATH FORUM @ DREXEL INTERNET NEWS NCTM Annual Meeting: Early Registration Discount Whyslopes.com Revamped | Wolfram Fun Facts WHYSLOPES.COM REVAMPED www.whyslopes.com Alan Selby has overhauled his website of "appetizers and lessons for mathematics and reason." Look for the math formulas neatly typeset with LaTeX, Flash videos, and other rich media supported by his new content management system. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- September 24, 2010 Vol. 15, No. 39 THE MATH FORUM @ DREXEL INTERNET NEWS Macalester Problem of the Week | Whyslopes.com Updated Mathematical Creativity and Giftedness WHYSLOPES.COM UPDATED Since we last featured the complex numbers section of Alan Selby's site "Appetizers and Lessons for Mathematics and Reason" in March this year, he has added a new section, Mathematics Education Revisited: www.whyslopes.com/mathematics_education_essays/ Selby has also included a section called POMME: Progressive Observable Motivated Mathematics Education, which he describes as "a two-level program for practical mathematics instruction." Read more about it here: www.whyslopes.com/#POMME Postscript: Now in Archives Directory -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- March 26, 2010 Vol. 15, No. 13 THE MATH FORUM @ DREXEL INTERNET NEWS Math Awareness Month Capturing Teacher Knowledge Study | Complex Numbers COMPLEX NUMBERS www.whyslopes.com/complex.html Since we ... featured the fractions section of Alan Selby's site "Appetizers and Lessons for Mathematics and Reason" in January this year, he has revised and expanded the section on complex numbers, organizing it under these topics: - Addition and Multiplication [of vectors] - What Are Complex Numbers? - Addition and Multiplication Properties - Second Way to Compute Products - Consequences of Two Ways to Compute Products These pages provide a way to introduce complex numbers before the study of periodic (unit-circle based) trigonometric functions. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/- January 8, 2010 Vol. 15, No. 2 THE MATH FORUM @ DREXEL INTERNET NEWS Math Forum Online Workshop: Algebraic Reasoning Math Forum Online PD Courses 2010 Census | Fractions, Ratios, Proportions May 30 2005 Vol. 10, No. 22 FRACTIONS, RATIOS, PROPORTIONS www.whyslopes.com/etc/fractions/ Since we last featured Alan Selby's site "Appetizers and Lessons for Mathematics and Reason" in 2005, he has revised and greatly expanded the section on fractions and ratios, organizing it under these topics: - Fractions - Fractions with Units (arithmetic and algebra with units) - Ratios and Fractions (or ratios versus fractions) - Proportionality Relations Forwards and Backwards - Links For all of Selby's pages on high school mathematics and calculus topics, see: www.whyslopes.com/ -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/- May 30 2005 Vol. 10, No. 22 THE MATH FORUM @ DREXEL INTERNET NEWS MathMem | Fractions and Ratios | Math-A-Thon FRACTIONS AND RATIOS www.whyslopes.com/etc/fractions/ Alan Selby has added a new section called Fractions and Ratios to his site "Appetizers and Lessons for Mathematics and Reason." This new area "offers a thought-based development of fractions, what they are, how to compare, add, multiply and divide them." Selby organized his pages under these topics: 1. What is a Fraction 2. Multiplication I: Unit Fraction of Unit Fraction 3. Multiplication II: Unit Fraction of a Simple Fraction 4. Multiplication III: Simple Fraction of a Simple Fraction 5. Equivalent Fractions 6. Mixed Numbers 7. Comparison of Fractions 8. Addition and Subtraction I: Case of Like Denominators 9. Addition and Subtraction II: Case of Unlike Denominators 10. Addition and Subtraction III: Efficiency Matters - Use of LCDs 11. Multiplication IV: Efficient Ways to Multiply Fractions 12. Division of Fractions 13. Two Term Ratios 14. Implied Ratios 15. Multiple Ratios The earlier site area on solving linear equations visually reinforces Selby's concept of fractions and arithmetic operations on them, while geometrically introducing algebra. www.whyslopes.com/etc/solvingLinearEquations/ -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 21 February 2005 Vol. 10, No. 8 THE MATH FORUM @ DREXEL INTERNET NEWS What the US Can Learn from Singapore's Mathematics System Geometry Module | Solving Linear Equations SOLVING LINEAR EQUATIONS www.whyslopes.com/etc/solvingLinearEquations/ Alan Selby has added a new section called Solving Linear Equations to his site "Appetizers and Lessons for Mathematics and Reason." The section introduces stick diagrams as a way to "provide a concrete context for many of the rules or patterns for solving equations -- a context that may develop equation solving skills and confidence informally before the algebraic statement of the rule and patterns for solving equations." Selby organized his pages under these topics: - Letters and Lengths - Stick Diagrams - Beyond Sticks - Almost One - Binary Systems - Larger Systems The earlier online chapter 15, Linear Equations, offers further information and examples for the development of algebraic reasoning skills in the solution of linear equations. www.whyslopes.com/etc/ThreeSkillsForAlgebra/ch15.html -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 13 August 2001 Vol. 6, No. 33 THE MATH FORUM INTERNET NEWS Complex Numbers and Trig - Alan Selby | NASA CONNECT Dare to Fly with Class COMPLEX NUMBERS and TRIG - Alan Selby www.whyslopes.com/complex.html In an expansion of "Appetizers and Lessons for Mathematics and Reason," Alan Selby has added new sections on Complex Numbers and the Distributive Law for Complex Numbers. They offer a short way to reach and explain: - trigonometry - the Pythagorean theorem - trig formulas for dot- and cross-products - the cosine law - a converse to the Pythagorean Theorem www.whyslopes.com/freeAccess/distributiveLaw.html -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\- 19 March 2001 Vol. 6, No. 12 THE MATH FORUM INTERNET NEWS String Figures, Mathematics, Origin - Probert Appetizers and Lessons for Math and Reason - Selby 2001 Regional Conference - Mid-Atlantic Eisenhower Consortium @ RBS APPETIZERS AND LESSONS FOR MATH AND REASON - Alan Selby www.whyslopes.com/ Alan Selby's mathematics appetizers range over arithmetic review problems, notions of what variables are, skills leading to algebra, painless theorem proving, complex numbers with some trig, the importance of slope (some calculus), a decimal perspective of error control and continuity (more calculus), and renaming the "greater than" sign (back to algebra). Intended for the learning and teaching of mathematics at the high school and college level, the site also offers some reflections that support teachers' use of the materials for their own learning. Sections include: ... - Pattern Based Reason (Vol 1A) www.whyslopes.com/volume1a/index.html A book in eighteen chapters that describes the origins, benefits and limits of rule- and pattern-based thought and processes in daily life, society, science and mathematics. - Applet www.whyslopes.com/freeAccess/applet.html Shows how to multiply and add complex numbers (vectors in the plane). ... - Helping Your Child Learn www.whyslopes.com/ParentCenter/index.html Suggestions on how to help children aged 7-16 learn in school. A version in French is also available: -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 25 November 1996 Vol. 1, No. 8 Alan Selby's Appetizers | Dynamic Algebra | NCTM-L Archive THE MATH FORUM INTERNET NEWS www.mathforum.org/ FEATURED INTERNET RESOURCE: ALAN SELBY'S 'MATH APPETIZERS' www.cam.org/~aselby/lesson.html#math ALAN SELBY's mathematics appetizers range over arithmetic review problems, notions of what variables are, skills leading to algebra, painless theorem proving, complex numbers with some trig, the importance of slope (some calculus), a decimal perspective of error control and continuity (more calculus), and renaming the greater than sign (back to algebra). Advice on how to read, how to learn, why go to school, etc. is included. The tone is sometimes funny, and the writing is dense, rich, and intriguing. There are reflections on teaching, so these materials can be used in the classroom and as a place for teachers to learn. Alan's explanations of mathematical concepts using words and stories are particularly strong. Don't miss his Appetizers and Lessons for Logic, also on this site. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- Math Forum June Hot Spot of the Month in www.mathforum.org/library/hotspots/95.html Alan Selby's Lessons and Appetizers for Math and Logic Three Skills For Algebra (a first image of mathematics after arithmetic - why letters or symbols are favored in algebra in place of numbers); Two logic puzzles to show the difference between a one-way and a two-way rule; Painless Theorem Proving; Longer Chains of Reason: What is Mathematical Induction?; Complex numbers Etc. - A geometrical story based on the addition and multiplication of arrows in the plane; Chains of Reason - math-free examples of rule-based reasoning; How Logic or Rule-Based Reason Appears in Math; VNR Concise Encyclopedia of Mathematics. Also Appetizers on Other WWW Pages.
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