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Paul K. for tutoring lessons in Tucson AZ Over 100 tutoring hours WyzAnt Tutoring Tutor Tutor United States

Paul K.

Paul K. - Experienced Math Tutor

Tucson, AZ (85739)

Travel Radius 12 miles
Hourly Fee $40.00
Discount $34.00 - $38.00 Save up to 15% (i)
  57 ratings

Your first hour with any tutor is always 100% refundable!

I am available for math tutoring in the Oro Valley area.

I began tutoring in college with as many as 6 students per week. I graduated summa cum laude with honors in mathematics. I have an MS degree in statistics, an MBA and am an Associate of the Society of Actuaries. After 18 years' experience as a pension consultant, I “retired" as Director of Actuarial Services from NTRC in Atlanta to begin my second career as a high school math teacher and tutor. I taught all math courses from fractions through calculus and developed courses in math history and math strategies for problem solving. At the middle school level I have coached Math Counts teams that went to the State competitions. All these experiences have enriched my understanding of math and my ability to explain math to my students.

I want students to rise to the highest level of which they are capable. Learning math is more than just learning formulas or repeating a procedure. To be successful at math students must understand what they are doing. This will enable them to think creatively, reason effectively, approach challenges with confidence and solve problems with persistence. Get help early on before you get lost.

I hope you will give me a chance to help you with your math.

The famous math historian E. T. Bell said, "What is mathematics for? To delight the mind and help us understand the world."

Paul's Subjects

Math:
Science:
  • astronomy
English:
  • ACT English,
  • English,
  • grammar,
  • reading,
  • SAT reading,
  • TOEFL
Test Preparation:
  • ACT English,
  • ACT Math,
  • ASVAB,
  • GED,
  • GRE,
  • SAT math,
  • SAT reading,
  • TOEFL
Computer:
  • SPSS
Language:
  • TOEFL
Elementary Education:
  • grammar,
  • reading,
  • study skills
Business:
  • economics,
  • GRE
Corporate Training:
Homeschool:

Algebra 1

I was always bothered that the word, "Algebra" had no intrinsic meaning to me. I know what algebra is, but then one might as well call it "Kaborsck" as far as I was concerned. After reading several math history books I pieced together a meaning that makes sense to me: The word "algebra" comes from the Arabic root word "al-jabr" which was borrowed from the medical profession to disconnect and reconnect bones. In Algebra students will learn to solve equations (1st and 2nd degree) by connecting and... Read More

Algebra 2

Algebra 2 comes after Algebra 1,which is the science of linear and quadratic equations (the building blocks of all polynomials)in order to solve problems. We build polynomials using the operations of addition, subtraction and multiplication to connect numbers and variables. So why do we need Algebra 2?

In Algebra 2 we must now deal with division. Division causes more difficulties because we cannot divide by zero. Algebra 2 mainly involves ratios of some sort: with rational functions... Read More

Calculus

The French mathematician Lagrange once said that a teacher doesn't really understand his subject until he can explain it to a man on the street.

I once took Lagrange's challenge to be able to explain the fundamental theorem of calculus to "a man on the street". I asked my barber if she had ever been in the hospital in a semi-private room. She said "yes", so I told her to envision a very crooked curtain for privacy and that she is in a drugged stupor as the nurse pulls the privacy curtain... Read More

Geometry

My Geometry teacher in the ninth grade told me I was the best student of geometry he had ever seen because of my ability to support each statement in a geometric proof with a reason, sometimes more reasons than he could think of. That complement set me on the road to becoming a math major in college.

Geometry means "Earth Measurement". Geometry as first envisioned by the ancient Greeks revolutionized the world. It was a mental discipline requiring us to ask and show why something was... Read More

Prealgebra

Prealgebra is all about fractions, "broken numbers". Percentages and decimals are fractions in a certain form. A ratio and a proportion involve fractions. The student must learn to deal with fractions: reduce and expand them in order to combine fractions by addition and subtraction.

Lewis Caroll, who was a math teach, was thinking of adding and subtracting fractions when he wrote about Alice shinking and expanding to get the key to get into the garden.

Once students can... Read More

Precalculus

In my experience Pre-Calculus is the hardest course in high school. It would be analgous to the shaking that would occur in a plane just before it breaks the sound barrier. After it, when students learn Calculus, they sometimes say, "Why didn't you tell me about this earlier? It would have made Pre-Calculus much easier."

Pre-Calculus comes before Calculus. But what is it? To call it Pre-Calculus is like calling it "Post-Algebra-Geometry". To understand what it is all about we must... Read More

Trigonometry

Trigonometry is the study of triangles. I starts with right triangles in which if one angle is the same as any other right triangle, then the triangles are similar and hence their sides are proportional. In particular the ratios of their sides is the same. The basic ratios are sin, cos and tan and their reciprocals are csc, sec and cot, respectively. Relationships are developed among these ratios as well as the law of sins and the law of cosines which are used to resolve all the sides and angles... Read More

Statistics

Probability is the mathematical study of the likelihood of events when the population is understood. Statistics is the mathematics of making inferences about a population that is not understood based on a random sample from the population. In probability we try to deduce from what we know; in statistics we try to infer things about what we don't know. Important concepts include measures of the sample data's center (mean and median) and the extent of its spread(standard deviation). The law of large... Read More

SAT Math

SAT tests mostly cover material from Algebra and Geometry. Statistics show the best way to improve your score by around 100 points is to take another year of math like Algebra 2. Working problems from an SAT prep manual can improve your score by around 50 points. Practice working the sample tests at first without any time pressure. Problems that you cannot work or that took too long should be reviewed with your tutor. After going through 3 or more sample tests with your tutor (me hopefully), begin... Read More

Probability

One of my teachers of graduate probability at UCI was Ed Thorpe, who wrote the book on how to beat Las Vegas at blackjack. Hopefully your teacher will be clearer than he was.

Probability is the mathematics of chance. Theoretical probabilities are based on a ratio of the number of ways a certain event can occur to the number of ways anything could happen. Therefore counting is very important. It starts with the fundamental theorem of counting: if there are n ways of getting A and m ways... Read More

Linear Algebra

Linear algebra is the study of simultaneous linear equations. They can be solved with one of two methods: substitution or elimination of a variable. With two equations in 2 unknowns they both have their advantages. However, with a 3x3 or higher system elimination becomes much more powerful and lends itself to computer solutions. A simple linear equation looks like: ax=b. A system of linear equations using arrays of numbers (or matrices) can be written as AX=B, and it begins to look like simple... Read More

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Hourly Fee: $40.00

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