December 8, 2006
Volume 11 No. 49

In This Issue

Beyond Crossroads

Explaining Logarithms

Zoom Algebra


Beyond Crossroads

The American Mathematical Association of Two-Year Colleges (AMATYC) recently released Beyond Crossroads. This site provides access to the individual chapters of the Standards in HTML or PDF format. In addition there are links to resources that illustrate the ideas in the document.

The chapters include:

  • Shaping the Vision
  • Guiding Principles
  • Implementation Standards of Beyond Crossroads
  • Student Learning and the Learning Environment
  • Assessment of Student Learning
  • Curriculum and Program Development
  • Instruction
  • Professionalism
  • Involvement of Stakeholders in Implementation
  • Moving from Vision to Reality

Explaining Logarithms
A Progression of Ideas Illuminating an Important Mathematical Concept

Dan Umbarger wrote the book "Explaining Logarithms" when he realized that students have a "knowledge gap" regarding logarithms. This companion site is organized into the following sections:

  • Download the Book in PDF Format
  • Why I Wrote this Math Book
  • Philosophy Driving the Text
  • Teacher Comments
  • Order Multiple Bound Copies
  • Make a Donation
  • Contact Me
  • Errata

Umbarger notes that there are three potential audiences for his material:

  • students who have never studied logarithms
  • students who have studied logarithms but who did not master the concepts or have forgotten key ideas
  • students preparing for calculus

Zoom Algebra - Zoom Math

Zoom Algebra, an application from Zoom Math with an intuitive visual interface and numerous typing shortcuts, is software for TI-83 Plus or TI-84 Plus graphing calculators. The authors explain that it lets you "type problems in just the way they look in your textbook, and then they look just right on your calculator screen."

Download a demo or purchase this software that:

  • combines like terms
  • simplifies exponential expressions
  • distributes and "FOILs"
  • adds, subtracts, multiplies and divides fractions containing variables
  • simplifies square roots
  • substitutes out known variables
  • solves equations for specific variables
  • solves systems of linear equations
  • adds arithmetic sequences
  • factors polynomials
  • solves complicated fraction problems that involve factoring
  • solves quadratic equations
  • displays each solution step


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