
How
to Solve Word Problems Programmatically





0. Introduction




0.1

Overcoming Fear




Afraid?

Do you fear word problems?
You're not swimming alone; many people experience fear
when approaching math word problems.
This book attacks that fear head on.
It will help you achieve the following objectives:
Objectives

View mathematics as a language of measurement

Expand mathematical vocabulary

Apply math in realworld problems effectively

Understand product specifications (5 dB, 2.6 GHz, 10
Ohm, 15 Amps, 9 Volts, 2.5 Watts, etc.)

Develop a deeper appreciation for the interaction
between math, business, and science

Improve math and science test scores (High School
Proficiency, SAT, ACT, GRE, etc.)

Enhance critical thinking and problem solving skills

Increase confidence in learning and teaching math and
science

Fear often comes from not knowing the meaning of things
like unexpected movements in a dark room.
This book will throw new light into the darker spaces of your math
background by giving you meaning
and perspective. It is a valuable supplement to textbooks
in math and science that require a working knowledge of algebra. It can also help you prepare for exams
that require an algebra background.

0.2

Components of Meaning



First we will carefully define "meaning"
associated with quantities in word problems using three components: units, dimensions and things. Then using algebraic expressions of these
components, we will learn how to build math and science equations as easily
as assembling jigsaw puzzle pieces using their shapes and colors.

0.3

Organizing Measurements and Relationships



Qty

Value

Meaning

Relationship

q1




q2




q3




q4




q5




…




This "meaning table" organize in a consistent way our thought
processes when solving word problems. It will help us to focus
our attention on defining quantities and relationships separate from the
algebraic manipulation of mathematical expressions. This important paradigm shift will give you the ability to
solve complex problems by breaking them down into their natural meaningful
relationships.

0.4

Programmable Steps of Modeling



1
2
3
4
5

Identify
Measure
Relate
Formulate
Solve



0.5

About the Author




Dr. Ranel E. Erickson
received his doctorate degree from Stanford University in Operations
Research, a field that develops and applies mathematical models to complex
quantitative business problems. After helping many students formulate
and solve word problems in his quantitative management and computer related
courses at the University of Nevada, Las Vegas (UNLV) he has developed and
patented systematic methods of formulating and solving word problems,
collectively called Unified Math®.

Dr. Ranel E. Erickson


Home
 Top
Copyright ©
2004 Dr. Ranel E. Erickson
