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Arithmetic & Mathematical Reasoning

Definition

Uses and applies mathematical techniques, processes, and concepts to understand and solve problems. Applies understanding of mathematics, either explicitly or implicitly, to perform basic computations, apply mathematical processes or utilize tools, analyze problems, identify or specify patterns, and draw conclusions.
 

Behavioral Descriptions

Proficiency Level 5
  • Applies complex mathematical concepts (e.g., calculus, linear algebra, set theory, advanced algebra, etc.)

  • Identifies and explains trends and other characteristics among vast quantitative data using advanced mathematical reasoning.

  • Uses or develops equations to model business problems.

Proficiency Level 4
  • Performs and applies complex computations (e.g., algebra, trigonometry, statistics, etc.). 

  • Understands role of probability in explaining and predicting events. 

  • Applies advanced math, probability, or statistics and interprets results.

Proficiency Level 3
  • Solves routine mathematical problems (e.g., volume/area calculations, obtaining/transposing measurements, calculation of sales tax, etc.).

  • Independently applies simple mathematical techniques to solve practical problems.

  • Creates tables and charts to store or explain quantitative information.

Proficiency Level 2
  • Performs basic arithmetic (i.e., adding, subtracting, multiplying, dividing).

  • Uses arithmetic and basic numerical concepts such as whole numbers to complete job tasks.

  • Makes reasonable estimates of mathematical problems without a calculator.

Proficiency Level 1
  • Needs a calculator to do basic computations.

  • Attempts basic computations.

  • Must use calculator to complete basic mathematical calculations

Suggested Activities for Development
  • Take a basic math course.

  • At time tax, figure your own income taxes (read and fill out the proper forms).

  • Spend 2-3 hours a week over an 8-week period completing math exercises in workbooks or online.

  • Shadow someone in the accounting department in your agency.

  • When shopping, figure out the percentage off in dollar amount without using a calculator.

  • Volunteer for a project that involves interpreting charts and tables.

  • Create a budget in Microsoft excel using formulas to calculate expenses.

  • Take an IQ test.

  • Take a math portion of a practice SAT/ACT or GRE/GMAT test.

  • Get involved in a project that involves conducting a costs/benefit analysis.

  • Take a Finance or Accounting course online or at a local college or university.

  • Take a statistical software course (e.g., SPSS or Statistica).

  • Tutor high school or college students in their math classes.

  • Volunteer to be the accounting secretary or accountant for a professional or community organization.

Recommended Courses
  • Under Development
Additional Resources

Books

  • The Cambridge Workplace Success Series, The series teaches basic writing and math skills in the vocational context of business and industry, and encourages critical thinking and problem solving skills essential to the workplace. Relevant, interesting, scenarios set in realistic workplace environments will increase students’ motivation to learn skills necessary to be effective in their jobs.

  • GRE/GMAT Math Workbook by D. Stuart & Staff of Kaplan, Inc., (Kaplan, 2002). Comprehensive review and powerful strategies for every type of question, this intensive workbook provides you with the targeted math training.

  • Painless Math Word Problems (Barron's Painless Series) by M. F. Abramson, R. Spungin & L. Hamilton (Barrons Educational Series, 2001) Learn to see patterns in math word problems, then compute with decimals, fractions, compare rates, and solve proportions. Then using everyday, real-world examples, they explore statistics and probabilities, and learn how math can actually predict future outcomes and events. Other areas of practical math are examined, with a final chapter that searches out problems and activities that can be found on the World Wide Web.

  • MATH ESSENTIALS 2 by S. L. Slavin (Learning Express, 2000). This new edition book is designed for adults in the workplace who aspire to a supervisory or mid-level management position but who are held back by their lack of basic math skills and math anxiety. With this focus on mastering the basics, this 20-step guide will also give the 1.5-million high school graduates who each year go directly into the workplace an easy way to sharpen the practical math skills they need in order to be employable.

  • 1001 Math Problems by S. Tarbell (Learning Express, 1999. This was written with the idea of helping a reader overcome math anxiety by giving math problems and explanations in a simple and engaging format. This book is essential practice in dealing with whole numbers, fractions, decimals, percentages, basic algebra, and basic geometry.

  • All the Math You'll Ever Need: A Self-Teaching Guide by S. Slavin. (John Wiley & Sons, 1999). Refreshes practical math skills for your personal and professional needs, with examples based on everyday situations. Offers straightforward techniques for working with decimals and fractions. Demonstrates simple ways to figure discounts, calculate mortgage interest rates, and work out time, rate, and distance problems. Contains no complex formulas and no unnecessary technical terms.

  • Basic Business Math by R. Truchon & T. Hicks (Crisp Publications Inc., 1997).  Using percentages, ratios and proportions, paying sales tax, borrowing or investing money, being paid a commission, purchasing discounted products on sale, using credit cards... All of these functions require basic math knowledge and skills that are offered in this concise, easy-to-absorb format. Readers may turn to a specific section of the book and become proficient in a new area by working a few problems. A post test is included in this revised edition that will prepare readers with the ability to understand the math in their lives, and to improve skills at solving brain-teasers as well.

Behavioral-Based Interviewing Questions
  • Content Under Development