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Mathematics DVDs
AN INTRODUCTION
TO MATHEMATHICS
(Addition, Subtraction, Multiplication, & Division)
This introductory mathematics video lesson examines early attempts
of humans to quantify their primitive world. Beginning with the symbols
of the caveman, and progressing to the numerals of the Greeks, Romans,
and Arabians, we see a continuous refinement in the manner in which
quantities are represented and calculated.
But this video lesson is much more than a history lesson. It teaches
the student the basics of counting, using the base ten. Students will
learn how this system is used to read large numbers. It also illustrates,
by example, the fundamentals of addition, subtraction, multiplication
and division, showing how to carry numbers when finding the sum, how
to borrow to find the difference in subtraction problems, how to solve
for the quotient in division problems and how to use the multiplication
process to find the product.
A foundation for higher levels of mathematics is provided for students
as they see how the four basic operations are used in simple algebra,
geometry and trigonometry problems. [color,
40 minutes] $39.95 MA0001
FRACTIONS
This video mathematics lesson gives the student a comprehensive overview of fractions.
It captures the students’ attention at the very outset by asking them to
recall times when they were younger, when mom may have divided pieces of candy
or a pizza, giving each child a share. This recollection should cause them to
realize that fractions have always been a part of their life, even before school.
The lesson teaches students the difference between improper fractions and mixed
numbers and how to convert one to the other. They learn how to add and subtract
fractions with different denominators by finding the least common denominator.
In teaching multiplication of fractions, this video presents both the cancellation
and multiplication methods. In division, the reason for inversion of the divisor
is presented.
Because the study of mathematics is a stepbystep learning process...because
the elements are sequential, with the mastery of one subtopic leading logically
to the next…this lesson shows the student how fractions are related to
decimals and percentages.
It provides a complete treatment for the understanding of fractions and prepares
the student for the next topic. [color, 42 minutes] $39.95
MA0002
DECIMALS
This video mathematics lesson begins by establishing the relationship between
decimals and an already familiar concept...fractions.
This is accomplished by challenging the student to solve the following riddle: “What
kind of fraction is it that always has as its denominator a power of ten, such
as a tenth, a hundredth or a thousandth. What’s more, this fraction’s
denominator is not written out in fractional form, but is indicated by the position
of a tiny dot. The numerator of this fraction is the same as the numbers which
are actually written out to the right of the dot.”
With the notion of what a decimal really is clearly defined, the video continues,
showing how easy it is to change a decimal to a fraction and then change the
fraction back to a decimal. Students will learn and understand how to read, pointoff
and round decimals and how to add, subtract, multiply and divide them. They learn
the importance of observing rules such as always lining up the decimal point
when adding and always moving the decimal the correct number of places when dividing.
Finally they will gain mastery in solving some word problems involving decimals.
A complete, thorough presentation of decimals and how they are used. [color,
36 minutes] $39.95 MA0003
PERCENTAGES
This video mathematics lesson begins by teaching the student that percent simply
means hundredths. With that concept firmly in mind, it’s quite easy for
them to understand that percentages may be converted to their decimal or whole
number equivalents by simply shifting the decimal point two places to the left
and removing the percent sign. Likewise they easily see that the reverse process
changes a decimal to a percentage.
They are then introduced to percentages which include fractions, such as 15 2/3
%, and shown how to convert these to decimals. Then it’s on to addition,
subtraction, multiplication and division of percentages, with the suggestion
that conversions to decimals should be made first. The video lesson also devotes
a good deal of time to explaining percentage word problems.
A comprehensive overview of percentages that will impart a thorough understanding
of the subject to students and provide them with basic skills to meet objectives. [color,
28 minutes] $39.95 MA0004
POSITIVE AND NEGATIVE NUMBERS
This video mathematics lesson examines positive and negative numbers and how
to add, multiply, subtract and divide them. Students often find the idea of negative
numbers particularly confusing.
To help visualize this concept, this video presents a line segment marked off
at regular intervals along its length with numbers. A zero is placed at the middle
of the line with positive numbers to the right and negative ones to the left.
With the concept of negative numbers now less abstract, the video uses the line
segment to “walk” the student through addition and subtraction of
positive and positive numbers, explaining when to move to the left and right.
They see by use of the line segment why 6(2) is 8 and not 4.
Rules for multiplication and division are presented in a very straightforward
manner, and students receive reinforcement as they work through several problems
on the screen. Then these skills are put to use as students gain experience in
solving word problems involving positive and negative numbers. Here are some
samples:
A comprehensive overview of a sometimes confusing mathematical concept, this
video will cut through the haze and provide your students with a solid foundation
for later studies. [color, 29 minutes] $39.95 MA0005
PRINCIPLES OF THE METRIC SYSTEM
This video mathematics lesson begins with the study of the metric system by introducing
students to its basic units for length, volume and weight. Comparisons to the
English units are made initially so that students will have some concept for
the dimensions of each unit. However, the video stresses the importance of learning
to associate each metric measurement with specific quantities without reference
to the English equivalent.
Students will quickly see that, because the metric system is based on decimals…powers
of ten, it is very logical and convenient to use. They, therefore, have a powerful
incentive for learning.
We feel it is important that students be shown the method for finding answers
as well as the reasons why these methods work. Therefore, in the problemsolving
sections, the logic for moving the decimal to the left in some cases and to the
right in others is fully explained and illustrated. What determines the number
of places the point is to be moved? Once again, learning the mechanics of the
operation is not sufficient, so we present the students with reasons why the
procedure works.
This video is appropriate both as an introductory lesson and as a refresher lesson
for more experienced students. [color, 30 minutes] $39.95
MA0006
AREA AND VOLUME
This video mathematics lesson begins by giving the student a conceptual definition
for area and volume. For example, area is defined as a twodimensional plane
bounded by a set of points...or more simply, the amount of surface an object
encompasses. Volume is defined as the amount of space occupied by an object or
its capacity. The lesson then continues with solutions for finding the area of
a variety of figures...rectangles, squares, circles, parallelograms, triangles,
trapezoids, solid rectangles, cubes, cylinders, and spheres. Then, it’s
on to volume. In this portion, the principles involved in finding the volume
of rectangular solids, cubes, spheres, cylinders, cones, and pyramids are graphically
illustrated. In each case, for both area and volume problems, the rationale for
formulas is given. All problems are worked in a stepbystep logical fashion.
This presentation is an easytounderstand lesson that will help teach students
about the mathematics of area and volume. It will also provide a foundation for
more advanced courses. [color, 32 minutes] $39.95 MA0007
EXPONENTS, POWERS OF TEN AND SCIENTIFIC NOTATION
In newspaper stories and TV newscasts, a person may read or hear that the federal
deficit is 4 trillion dollars or that some new virus has been discovered that
it is tenmillionth of a millimeter in length. Learning how to interpret and
handle such extremely large or small numbers is a basic mathematics skill no
person can afford to be without. And certainly mastery of these skills is a required
teaching objective in any curriculum. Conceiving of quantities such as 4 trillion
or one tenmillionth may be difficult, but writing and manipulating them is easy,
using exponentials.
In this video mathematics lesson, students will learn how to express very large
and very small numbers, using powers of ten and scientific notation. In converting
ordinary numbers to exponentials, they will understand why the decimal point
is moved to the left in some cases and to the right in others. They will see
that there is a correlation between the number of places the decimal is shifted,
and the value of the exponent of ten. Finally students will gain skills in multiplying,
subtracting, adding and dividing exponentials. Throughout this video, we stress
logic, not just memorization of rules. This lesson makes crystal clear, “the
why” behind mathematical operations.
A comprehensive overview of exponents, this video will facilitate student comprehension
and enhance teacher effectiveness. [color, 38 minutes]
$39.95 MA0008
RATIO AND PROPORTION
This video mathematics lesson brings ratio and proportion problems to life. Students
are often surprised to see that these type problems are very useful for calculating
information such as the winloss record of the school teams, the amount of milk
to be used in a cookie recipe, or how to construct a scale drawing for the neighborhood
clubhouse.
Students may also be pleasantly surprised to realize that ratio and proportion
problems are quite easy to solve, in part, because answers can be found by performing
operations with which they are already familiar... operations such as division,
reducing fractions, and multiplying.
Throughout the video much emphasis is placed on a logical nononsense approach
to finding solutions. We want the student to know why an operation works, so
reasons, as well as rules, are presented.
A comprehensive treatment of, and a very valuable supplement for the teaching,
of ratio and proportion. [color, 35 minutes] $39.95 MA0009
MATH FOR LIVING
This video mathematics lesson demonstrates just how practical and useful mathematics
can be in everyday life. Students will see how a knowledge of decimals and percentages
can be used to calculate the amount of a paycheck, whether or not the deductions
are correct and how much a raise in salary might come to.
They are taught how to determine property and sales taxes, and how to figure
if they are due a refund on their income tax return.
Students quickly see that skills in basic mathematics can save them money when
purchasing items “on sale”. They learn to be discriminating about
price. Is it really a bargain or does it just sound good?
Buying on the installment plan, paying interest, investing in stocks, calculating
interest, buying insurance, ordering materials for home improvement projects,
calculating utility bills, even following a recipe...topics every consumer should
be familiar with.
Students should not leave school without these necessary skills. This video will
help ensure that they don’t. [color, 35 minutes]
$39.95 MA0010
INTRODUCTION TO ALGEBRA:
Basic Concepts And Graphical Analysis
This video mathematics lesson introduces students to basic concepts in algebra.
Using the simple analogy of the balance, the video makes clear to students that
adding, subtracting, multiplying or dividing does not change equality if both
sides are treated equally. They will understand how this reasoning applies to
balancing an equation. The mystery and confusion that sometimes surrounds the
arithmetic manipulation of letters and symbols is replaced by an understanding
that these notations actually represent numerical quantities. Students learn
how to solve simple equations and are taught to distinguish equations from inequalities.
They see how these principles are applied to common situations in the word problems
presented and solved. Finally, this lesson demonstrates the method of graphical
analysis. They will learn how to locate ordered pairs on a coordinate system
and how to graph a complete equation. This video provides students with a solid
foundation for their first year of algebra. [color, 38
minutes] $39.95 MA0011
INTRODUCTION TO GEOMETRY:
Basic Concepts
This video mathematics lesson introduces your students to basic geometry, that
branch of mathematics which deals with relationships between angles, lines, points
and figures. The lesson begins by describing a point as a dimensionless location
in space and a line as connected points having no height or width. Then students
are taught how to draw and label line segments and rays and how to bisect angles
using a compass. Next they learn about angles...the difference between supplementary
and complementary angles, and the definition of corresponding, alternate exterior,
acute and obtuse angles. They will see how to properly construct and read angles
using a protractor and a compass. The lesson helps students distinguish the different
types of polygons. They will understand the characteristics of several kinds
of triangles and learn how to work related problems.
This video will provide students with a basic overview of elementary geometry,
which should serve as a solid foundation for future studies in this area of mathematics. [color,
41 minutes] $39.95 MA0012
INTRODUCTION TO TRIGONOMETRY:
Basic Concepts
This video mathematics lesson introduces the student to the relationships between
angles and the sides of triangles. Specifically, they will become acquainted
with the meanings of terms such as congruent sides and congruent angles, hypotenuse,
the Pythagorean theorem, sine, cosine, tangent and more. They will discover,
as the ancient Greeks did thousands of years ago, that there is much to be learned
about the simple triangle. They are taught how to measure angles with a protractor;
the way in which an angle is divided into degrees, minutes and seconds of arc;
and how angles are properly labeled. The characteristics of various triangles
are described and attention is devoted to solving problems using the right triangle.
Students will gain an understanding of the Pythagorean theorem and will be introduced
to the fundamental concepts involved in solving problems using trigonometric
functions. This lesson offers students an excellent introduction to the study
of trigonometry. [color, 41 minutes] $39.95 MA0013
COLLECTING AND INTERPRETING DATA
Means, Modes, Ranges, Graphs, And Probability
In many instances the process of measuring and quantitatively assessing situations,
even if it’s only to “put things in perspective” requires that
many different pieces of numerical information be collected and analyzed. Collecting
data helps to minimize distortions and erroneous impressions that might result
if only one or two pieces of information are examined. This video mathematics
lesson introduces the student to number analysis. They learn the definitions
of mean, mode and range. Then after organizing data in a frequency table, they
learn to calculate the value of the various types of averages. This lesson illustrates
how data is pictorially displayed on various kinds of graphs...bar, line and
circle. Students are shown how to interpret information from each one and how
to construct graphs of their own. Then students explore the world of probability,
as they are taught the procedure and logic commonly used in solving word problems...
problems asking for a determination of mean, mode, median and range. This video
provides a comprehensive introduction to data interpretation and number analysis. [color,
35 minutes] $39.95 MA0014
