Since being awarded an M.Ed in Secondary Mathematics 2004 and an MS in Mathematics 2006, I have taught sections of Statistics (some with a lab using Excel), Pre-Calc, Trigonometry, developmental Algebra, Algebra II, Contemporary Math I and II. These sections are all taught at the community college level. For the developmental level of algebra I have used CoursesCompasses, MyMathLab and WebAssign in my instruction. I’ve also used many web sites to supplement my lectures.
I embrace the use of technology to aid in instruction. I’ve used Geometer Sketchpad for discovery of area of trapezoids, circumference of circles, arc-length & arc-angles and relations of parallel lines. I used Microsoft Excel for discovery of the general form of the area of pyramids and cones and in Statistics I assigned a project to compare two data bases using mean, variance, standard deviation, CVAR, grouped data and charts. I’ve used SmartView, an TI-83 and TI-84 Graphing calculator emulator, for introducing the coordinate plane, linear equations & relations and measures of variations including Box-and-Whisker plots. I’ve used manipulatives, including algebra tiles and ones I created for demonstrating the properties of parallel lines, finding equations from patterns and multiplication of polynomials.
To stay current, I’ve attend several seminars and workshops. The seminars are given by people involved with Focus on Mathematics and PROMYS (Program in Mathematics for Young Scientists) which stresses habits of the mind. The other seminars were given by the Northeast Sustainable Energy Association (green energy goes to school), Texas Instruments in the use of their graphing calculators, including downloadable instruction, and ETS at AP Statistics reading of the AP Exams.
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Mark's subjects
Algebra 1
In the past 6 years I have taught several sections of high school algebra at the Community College level. I've also taught algebra as a long term substitute and the high school level. My instruction included the following topics: polynomial arithmetic, introduction to functions, factoring, equations involving absolute values, inequalities and interval notation, factoring sums or differences of cubes, roots and radicals, rational expressions and equations, radical expressions and equations, absolute...
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Algebra 2
In the past 6 years I have taught several sections of College Algebra (Algebra 2) at the Community College level. I've also taught algebra 2 as a long term substitute and the high school level. My instruction included the following topics:
Linear Equations: solve linear equations; solve literal equations
Linear Inequalities and Absolute Values: solve linear inequalities with and without absolute values
Graphing and Functions: graph linear equations and linear inequalities on the...
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Geometry
I've taught several classes of geometry at the high school level. I've used the TI-84 graphing calculator to explore the relation of m and b in the equation y = mx + b and its graph. I've used Excel to model the solids to derive their volume. I also used Excel to show that the area and parameter of a regular polygon approaches the area and circumference of a circle as n (number of sides) approaches infinity. I've built on these results to show that the volume of a pyramid approaches a cone as...
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Prealgebra
In the past 6 years I have taught several sections of high school algebra at the Community College level. I've also taught algebra as a long term substitute and the high school level. Most lessons include review of mathematics topics taught in middle school. I'm licensed by the state of MA in secondary mathematics grades 7 - 12.
Precalculus
Precalculus (Trigonometry)
In the past 7 years I have taught several sections of Algebra 2, Trigonometry and Precalculus at the Community College level. I've also taught Algebra 2 and Trigonometry as a long term substitute and the high school level. My instruction included the following topics:
1. use and apply radian measure.
2. find the values of trigonometric functions of any angle.
3. apply trigonometric functions to problem situations involving right trianglesRead More
Trigonometry
In the past 7 years I have taught several sections of Trigonometry at the Community College level. I've also taught Trigonometry as a long term substitute and the high school level. My instruction focuses on the unit circle. My instruction included the following topics:
1. use and apply radian measure.
2. find the values of trigonometric functions of any angle.
3. apply trigonometric functions to problem situations involving right triangles
4. solve oblique triangles...
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Statistics
In the past 6 years I have taught more than a dozen sections of Elementary Statistics at the Community College level. These courses included a chapter on probability and counting. I have been an AP Statistics reader since 2011. A reader corrects the open response questions. I also used statistics as a manufacturing engineer at Raytheon and software engineer at GCA. My instruction included the following topics:
The Nature of Probability and Statistics: Descriptive and Inferential Statistics,...
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SAT Math
I've been trained to be a SAT tutor. I've taught all subjects covered by the math portion of the SAT.
Algebra:
I've taught several sections of high school algebra at the Community College level. I've also taught algebra as a long term substitute and the high school level. My instruction included the following topics: polynomial arithmetic, introduction to functions, factoring, equations involving absolute values, inequalities and interval notation, factoring sums or differences...
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ASVAB
I've been trained to be a SAT tutor. I've taught all subjects covered by the math portion of the ASVAB. I'm certified to teach General Science by the state of Mass., I'm an avid reader, I was a flight simulator tech in the Air Force (electronics and computers). I worked in the mobile simulator program where I was required to work on generators, hydraulic systems, heating and air conditioning systems. I also own, maintain and modify an electric automobile build in 1992. I've also designed and programmed...
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ACT Math
I've been trained to be a SAT tutor. Like the SAT, the ACT is another college entrance exam. I've taught all subjects covered by the math portion of the SAT.
Algebra:
I've taught several sections of high school algebra at the Community College level. I've also taught algebra as a long term substitute and the high school level. My instruction included the following topics: polynomial arithmetic, introduction to functions, factoring, equations involving absolute values, inequalities...
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