| Quote: |
 This course introduces the student to the basic concepts of mathematics as well as the fundamentals of more complicated areas. Basic Math is designed to provide students with an understanding of arithmetic and to prepare them for Algebra I and beyond.
Dr. Murray H. Siegel has a Ph.D. in Mathematics Education. Kentucky Educational Television honored him as "the best math teacher in America."
He has a gift and evident passion for explaining mathematical concepts in ways that make math seem clear and obvious rather than arbitrary and murky.
From the basics of multiplication to decimals and fractions and the operations of geometry, he is the master of the skillful metaphor and the well-wrought example.
The Plan of the Course
Dr. Siegel describes how he designed this course: "The topics, sequences, and examples used in this series are based on 23 years' experience teaching mathematics to real students. These students ranged in age from young children to adults past retirement age, many of whom lacked confidence in their ability to succeed in a mathematics course.
"If you, the student, do what is asked of you in the 30 lessons, you will greatly improve your understanding of basic mathematics. Furthermore, you will gain confidence in your ability to understand new mathematical topics and to accept new mathematical challenges."
The lessons cover the arithmetic of whole numbers, fractions, decimals, percents, and integers. Also included in the series are investigations of exponents, square roots, and the order of operations.
Lessons on geometry, measurement, problem-solving, probability, statistics, and pattern recognition (including sequences) prepare students for future mathematical studies.
In addition to learning how to perform various mathematical operations, you will find out why these operations work, how a particular lesson's topic relates to other parts of mathematics, and what practical uses exist requiring knowledge of these arithmetic operations.
When possible, alternative methods of computation are demonstrated. You may find these methods easier to use than the more traditional methods taught in most schools. |
Lectures are 30 min each.
Avi (~175mb)
Course Lecture Titles:
01. Introduction and a Review of Addition and Subtraction
02. Multiplication and Division
03. Long Division
04. Introduction to Fractions
05. Adding Fractions
06. Subtracting Fractions
07. Multiplying Fractions
08. Dividing Fractions, Plus a Review of Fractions
09. Adding and Subtracting Decimals
10. Multiplying and Dividing Decimals
11. Using the Calculator
12. Fractions, Decimals, and Percents
13. Percent Problems
14. Ratios and Proportions
15. Exponents and the Order of Operations
16. Adding and Subtracting Integers
17. Multiplication and Division of Integers, and an Introduction to Square Roots
18. Negative and Fractional Powers
19. Geometry I
20. Geometry II
21. Graphing in the Coordinate Plane
22. Number Theory
23. Number Patterns I
24. Number Patterns II
25. Statistics
26. Probability
27. Measurement
28. Problem-Solving Techniques
29. Solving Simple Equations
30. Introduction to Algebra I
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