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Robert A.

Certified Teacher and Engineer - Tutoring Maths and Sciences

Medfield, MA (02052)

Travel radius
18 miles
Hourly fee
$60.00
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I am a retired teacher tutoring maths and sciences. I have a Massachusetts teaching certificate, 10 years experience teaching high school physics, astronomy, and chemistry; 22 years experience designing computer hardware and networking equipment, and 10 years experience as a construction electrician. Teaching is my 3rd career. After two other careers and 30 years prior work experience, I came to teaching as an avocation as well as a vocation.

I enjoy getting to know students so that I can tailor my teaching to each of their needs and strengths. When tutoring I am able to frame each question to lead to the understanding of a concept. There is a great satisfaction when I see that 'aha' moment and know we can move on.

I like to show students how mathematics is both a tool and a language. Mathematics is a tool for scientist to solve problems using data from experiments, and to predict future results and events. I show them how to apply their mathematics principles including Algebra, Geometry, Trigonometry, Statistics, and Calculus to help in solving their science problems. I teach that mathematics is also a language, the language of science; and it has a syntax and semantics just as any natural language does. Mathematics is the language scientist use to describe the universe - Mathematics is the language of science because unlike natural human languages, mathematics is precise and exact.

I have taught Physics, Chemistry, Physical Science, Astronomy, and IPS for high school freshmen, juniors, and seniors at the honors, college, and general levels: and I have also been Assistant Professor of Physics on the adjunct faculty of a nearby university. I like helping my students truly understand their subjects. I believe their success depends on their understanding of the material; not on memorization and a calculator, or reading then reciting an answer. With their own true understanding of the concepts, quiz questions and problems become simpler; and as a bonus the knowledge can be used in other courses and in life. When they really understand the wonderful things they can do - that is when they want to know more. If you are interested in understanding your Physics, Science, and Maths as opposed to just solving problems, then I am the tutor for you.


résumé:
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I have a Bachelor of Science in Electrical Engineering (BSEE) and a Master of Arts in Teaching (MAT). I have studied a wide variety of mathematics and science subjects both during my preparation for teaching, and before that in preparation for my earlier career as an electrical engineer. In addition I have completed post-graduate work in physics, science, mathematics, engineering, computers, and education; including a courses on Teaching AP Physics and in the Mathematical Modeling Method for Teaching Physics.

I was an electrical engineer designing computer hardware for 20 years before becoming a teacher. Electrical Engineering is a study of physics, especially Electro-Magnetics, and the mathematics required to describe electrical systems and to solve EE problems. I have done advanced work in both physics and mathematics; and in my engineering work I applied my knowledge of mathematics and science in the solution of problems.

I originally started out to be a Bio-Medical Engineer and began my studies in a dual-degree program at UConn for a BSEE and BA in Biology. I finished my baccalauréate at the University of Hartford in a BSEE program concentrating in computer systems and hardware design. Due to this I have studied a wide variety of subjects. In addition to my major in Electrical Engineering I have major concentrations in Mathematics, Physics, and Computer Engineering; and minors in Chemistry, and Biology.

I was an electrician in construction for 10 years while attending college part-time. I then worked for 20 years at Raytheon, Prime Computer, and Digital Computer (DEC) designing computer systems, CPUs, memory, and networking hardware. I have two U.S. and related foreign patents for computer design. After my work in the computer industry is when I completed my MAT in Physics and became a teacher.

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Robert’s subjects

ADD/ADHD

I am patient with my students and able to provide support for them when they are having attention difficulties. I have organizational techniques I used for students in my classroom and I can provide students with those and other ways to take notes and organize their notebooks. While I do not tutor students specifically for their needs in overcoming ADD or ADHD issues, I am well qualified to teach my subjects of the math and science to students with ADD and ADHD and to make appropriate adjustments to help them.

When tutoring an ADD/ADHD student I suggest keeping lessons to a time they can remained focused for. I try to be more cognizant of changing the lesson to do different activities such as reading, answering questions, takeing notes. If the student's mind wanders to another topic I do not mind having a short chat about something of interest or letting them sit on an aerobics ball. Getting the wanderlust out of their system will make the rest of the session more productive.

As part of my Masters of Arts in Teaching, teaching ADD/ADHD and other special needs students in the classroom was a topic in many of my courses. I also completed a course in the special education department on teaching math and science to special needs students including ADD and ADHD. In addition I have had tutored and had many ADD and ADHD and other special needs students in my classroom.

Algebra 1

Overview:
Algebra is the first study of basic mathematics beyond arithmetic. Here students begin to learn to think of their maths in abstract terms using letters instead of numbers. Algebra is introduced into the curriculum in 8th or 9th grades when a child is still thinking very concretely. Many techniques are needed to help a young student start to develop the ability for abstract thinking while they learn algebra.

I am a Massachusetts licensed Science Teacher. I have a Bachelor of Science in Electrical Engineering (BSEE) and a Master of Arts (MAT) in Teaching. During my studies in Electrical Engineer and Physics I have studied mathematics extensively from Algebra through Calculus, Engineering Calculus, Differential Equations, and many other advanced mathematics. Electrical Engineering is a study of physics, especially Electro-Magnetics, and the mathematics required to describe electrical systems and to solve EE problems. As a Physics and Science teacher I have taught Applied Mathematics principles including Algebra, Geometry, Trigonometry, Statistics, and Calculus to students to solve their science problems.

More:
Algebra is very challenging for students since this is the time when their brains are just starting to become capable of abstract thinking. A teacher and tutor needs to not only present the material and teach algebra, but needs to guide the student's brain development and abstract thinking ability.

Often a student does not have a strong foundation with some of the arithmetic concepts such as negatives, fractions, or the order of operations; and there needs to be reinforcement of the basics. Only then can they be challenged to change their thinking to include letters and other abstract ideas in place of numbers. The idea of going back and forth from words to numbers to algebraic equations to graphs is very often a source of great difficulty. It is important to try to relate the maths they are learning to something that they can see and touch, and to something they can use it for in their lives. This bridges the concrete to abstract divide; and also gives them a reason and ability to learn to understand, instead of just memorizing material and equations for a test.

How to approach algebra for each student is very individualized. Each student is in a different place in their abstract thinking, intellectual, and brain development. They also each will have a different main area of difficulty. Because algebra is such a personal tutoring subject, methods will need to be adjusted to what the student needs most. There are multiple ways to explain most algebra topics, so if one doesn't work, there are other ways to explain the information to the students.

Algebra 2

Overview:
Algebra II is where students solidify their knowledge of basic algebra and begin to learn the more complex algebraic topics. Students are still just learning to think in abstract terms; so delving into the more complicated topics of algebra continues to be difficult for them. Often algebra II is studied in the 9th grade when a child is still thinking very concretely. The alternative is to study geometry before algebra II giving time for a student to develop; but this only replaces the study of algebra II with another abstract subject. As you can see, once a study of algebra is begun mathematics is always in the vanguard of students intellectual development and so is often a difficult topic for many.

I am a Massachusetts licensed Science Teacher. I have a Bachelor of Science in Electrical Engineering (BSEE) and a Master of Arts (MAT) in Teaching. During my studies in Electrical Engineer and Physics I have studied mathematics extensively from Algebra through Calculus, Engineering Calculus, Differential Equations, and many other advanced mathematics. Electrical Engineering is a study of physics, especially Electro-Magnetics, and the mathematics required to describe electrical systems and to solve EE problems. As a Physics and Science teacher I have taught Applied Mathematics principles including Algebra, Geometry, Trigonometry, Statistics, and Calculus to students to solve their science problems.

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All the concerns of algebra I still exist. Students are still just becoming abstract thinkers and algebra continues to be very challenging. Because of the timing of algebra and abstract thinking ability not all students will have gained a full understanding of algebra I. During algebra II there will need to be reinforcement of algebra I to insure no one is left behind.

A teacher and tutor will still need to not only present the material and teach algebra, but needs to guide the student's brain development and ability to think abstractly. It is still important to relate the maths they are learning to concrete items and to something they can use it for in their lives. Throughout all mathematics it will remain to give students a reason and ability to truly understand the material, instead of just memorizing material and equations for a test.

How to approach algebra, and all of the maths, is very individualized. Each student is in a different place in their abstract thinking, intellectual, and brain development. Parents should not worry about abstract thinking but provide support and help students progress in that area. Some student become real abstract thinkers sometime in high school, many make that leap sometime in college, and some do not become fully able to think abstractly until the mid to late twenties.

Calculus

Overview:
Calculus is fundamental to most science and all engineering professions, and is a basis for the mathematical view of many other such as economics and finance. It is a very complex and very interesting subject. It can be studied at he high school, college, or graduate levels. I tutor all the high school and college levels. It is only with calculus that we can really explain at a fundamental level many of the topics of mathematics previously studied. We mostly just say calculus, other say the calculus, as if it is the only one. There are many calculuses and calculus is the study of one of them. We study the calculus of change and usually how things change over time. The calculus studied in calculus was begun by Eudoxus in ancient Egypt and culminated with the work of Isaac Newton and Gottfried Leibniz. We mostly use the ideas of Newton and the symbols and notation of Leibniz.

I am a Massachusetts licensed Physics Teacher. I have a Bachelor of Science in Electrical Engineering (BSEE) and a Master of Arts (MAT) in Teaching. During my studies in Electrical Engineer and Physics I have studied mathematics extensively from Algebra through Calculus, Engineering Calculus, Differential Equations, and many other advanced mathematics. Electrical Engineering is a study of physics, especially Electro-Magnetics, and the mathematics required to describe electrical systems and to solve EE problems. As a Physics and Science teacher I have taught Applied Mathematics principles including Algebra, Geometry, Trigonometry, Statistics, and Calculus to students to solve their science problems.

More:
There are a number of different domains in calculus. They usually are studied one at a time through progressive semesters. The first semester of calculus, calculus I, studies limits and the derivative. The derivative is about finding the slopes of lines and functions, where they are increasing and decreasing, and where they are maximum and minimum. The second semester, calculus II, studies limits again from another viewpoint and the integral. The integral is about finding the area under a curve, and finding the surface areas and volumes of strangely shaped objects. We can also find where surfaces are flat, concave, and convex. Beyond calculus II there is often a third semester of multivariable calculus where we can study how two things change at the same time.

In calculus there are three parts to the study. One is understanding the concepts and how each of the formulas are developed. A second is memorizing many many derivative and integral formulas. Many derivatives and integrals were found by really smart people studying for a long time and we cannot expect to duplicate all their results in a limited time on a test or at work; so we memorize many basic forms to give us a jump us. A third part of the study is the study of different standard techniques to solve a problem. Without knowing a number of standard techniques, every time a new problem presented itself we would be left floundering not knowing how to start.

Beyond standard calculus there are many advanced classes. Multi-variable calculus, advanced calculus, advanced engineering calculus, theoretical calculus, and more. I tutor all levels of calculus but I am not a math major so I am not expert at theoretical calculus.

Chemistry

Overview:
Chemistry is the physics of atoms and molecules. It always helps if students understand physics before taking chemistry. With an understanding of forces, energy, electricity and magnetism students can make sense of and understand how and why atoms and molecules stick together and form into shapes the way they do. With an understanding of that and of energy and light students can understand why molecules energy levels are quantized.

I am a Massachusetts licensed Science Teacher and I have taught Chemistry and IPS in high school to 9th, 11th, and 12th grades. I have a Bachelor of Science in Electrical Engineering (BSEE) and a Master of Arts (MAT) in Teaching. During my engineering studies in Biomedical Engineering Studied Chemistry and Biology extensively and I have a minor in both.

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Chemistry is a challenge for some students because they are dealing with atoms and molecules they cannot see. Nearly everything has to be imagined and thought of in abstract terms. There is a great deal of pure memorization in chemistry mixed in with trying to understand the concepts and formulas.

With my background in chemistry I can explain all the basics of chemistry in multiple ways. and chemistry formulas. With my mathematical background I can explain the formulas and where they come from and why they work in a way students can understand. And with my physics background I can explain the physics principles of why and how the chemistry works

Computer Engineering

A computer engineering major is always studied in a school of engineering and is the study and application of engineering to the design, development, and maintenance of computer hardware and software. Computer Engineering is how to design systems that include both computer hardware and software from an engineering aspect and is a different discipline from Computer Science. It is designing a computer with electrical and software engineers from a small cell phone to a large computing system for an international company and includes designing the hardware, firmware, operating systems, networks, and communications between computers. Computer Engineering also includes the core coursework of an engineering degree including higher mathematics, physics, science and engineering courses.

I have a degree in Electrical Engineering from the University of Hartford (W. Hartford Conn.). During my studies I concentrated much of my course work in computers. I have taken graduate coursework in computer engineering at Northeastern University. I spent 20 years in the computer industry designing computer and networking hardware for Prime Computer, Digital Computer, and Bytex.(The 1st two were manufacturers of mini-computers and Bytex was a manufacturer of networking hardware.)

Computer Science

Computer Science is how to make a computer do something so writing software to program a computer is an essential part of Computer Science. Computer Science as a discipline does not concentrate on the engineering core but on software and algorithms and so is different from Computer and Software Engineering. A computer science major can be studied in the engineering, mathematics, or other department of a college. Computer scientists are interested in making a computer designed by others operate to achieve a goal.

I have a degree in Electrical Engineering from the University of Hartford (W. Hartford Conn.). During my studies I concentrated much of my course work in computers. I have taken graduate coursework in computer engineering at Northeastern University. I spent 20 years in the computer industry designing computer and networking hardware for Prime Computer, Digital Computer, and Bytex. (The 1st two were manufacturers of mini-computers and Bytex was a manufacturer of networking hardware.)

Differential Equations

Differential Equations is a study of solving multiple equations with multiple variables. It entails learning the concept of a partial differential, learning standard techniques for solving them, and learning how to find the initial conditions or starting point of a complex system. Translating a problem in words to differential equations and finding the initial starting conditions is sometimes a stumbling block for many students.

Differential equations is usually taken by students in mathematics and engineering, and other disciplines highly dependent on mathematical principles. "Diffy Qs" is often thought to be one of the hardest classes in the engineering and mathematics majors.

I have a Bachelor of Science in Electrical Engineering (BSEE) and a Master of Arts (MAT) in Teaching. During my studies in Electrical Engineer and Physics I studied mathematics extensively from Algebra through Calculus, Engineering Calculus, Differential Equations, and many other advanced mathematics including Differential Equations. I have studied Differential Equations in my curriculum for my BSEE and in my graduate work.

Discrete Math

Discreet mathematics is the study of things that can only exist is defined states or at defined times. It is similar to the difference between integers (discreet) and all real numbers (continuous) with integers being only certain numbers and real numbers also including everything in between. Discreet maths are at the core of computer engineering where computers only have ones and zeros. Discreet maths are also basic in communication and communication. It is a basis for the new digital TV signals we have compared to the old analogue signals.

I have a Bachelor of Science in Electrical Engineering (BSEE) and a Master of Arts (MAT) in Teaching. During my studies in Electrical Engineer and Physics I studied mathematics extensively from Algebra through Calculus, Engineering Calculus, Differential Equations, and many other advanced mathematics including Discreet Mathematics. I have studied Discreet Mathematics in my curriculum for my BSEE, in my graduate work, and especially in my studies of computer hardware design. I used discreet maths in my work for 20 years designing computer hardware.

Electrical Engineering

Overview:
Electrical Engineering is the major subject I studied in college and one of my favorites to tutor. Electrical engineering is the study of physics, especially electricity and magnetism, and the mathematics to describe electrical systems and solve electrical problems. There are many branches of electrical engineering and I am at ease with the basics of all of them. My best branches are circuits, computers, designing with high speed signals, circuit boards, and digital logic design.

I have a degree in Electrical Engineering from the University of Hartford (W. Hartford Conn.). During my studies I concentrated much of my course work in computers. I have taken graduate coursework in computer engineering at Northeastern University. I spent 20 years in the computer industry designing computer and networking hardware for Prime Computer, Digital Computer, and Bytex. (The 1st two were manufacturers of mini-computers and Bytex was a manufacturer of networking hardware, ethernet, token-ring, and FDDI.)

More:
I also have a Master of Arts in Teaching (MAT). As part of my education, in addition to the core engineering and electrical courses, I studied digital logic and Boolean algebra, computer organization and design, software engineering, programming, and numerical analysis For 20 years as an electrical engineer I used my knowledge of logic and Boolean algebra to design computer hardware.

Geometry

Overview:
Geometry is another area of mathematics where the students are stretched in their abilities. The geometry that is taught is Euclidean geometry. It follows the writings of Euclid of ancient Greece; it defines one item and builds another by logic and proofs, eventually a whole system of geometry is defined. This challenges students to extend their abstract thinking skills and also challenges the students to think in formal logic for what is usually the first time in their lives.

I am a Massachusetts licensed Science Teacher. I have a Bachelor of Science in Electrical Engineering (BSEE) and a Master of Arts (MAT) in Teaching. During my studies in Electrical Engineer and Physics I have studied mathematics extensively from Algebra through Calculus, Engineering Calculus, Differential Equations, and many other advanced mathematics. Electrical Engineering is a study of physics, especially Electro-Magnetics, and the mathematics required to describe electrical systems and to solve EE problems. As a Physics and Science teacher I have taught Applied Mathematics principles including Algebra, Geometry, Trigonometry, Statistics, and Calculus to students to solve their science problems.

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The mechanics of geometry in calculating volumes and areas are not often an issue. The logical proofs and constructions of bisecting lines and other proofs are a stumbling block for many. Students need to be guided with multiple explanations to understand the new subject and in ways to think logically and step by step to build a geometry system. I have studied Euclid's geometry and other geometries in my engineering and physics and have multiple ways to show students how to solve their geometry problems.

Want to find the properties of an obelisk? How about the Washington Monument, the Bunker Hill Monument, or Cleopatra's Needle from the Luxor Temple which Egypt gave to France in 1833 and is now in Paris at the Place de la Concorde. We can find the volume, surface area, height, and weight.

Linear Algebra

Linear Algebra is a study techniques to solve multiple equations at simultaneously using matrices. Linear Algebra and matrices are a fundamental engineering technique for solving many problems. The matrices can represent trigonometry functions, algebra equations, vectors, differential equations, or financial, weather, or statistical models; just to name some.

I have a Bachelor of Science in Electrical Engineering (BSEE) and a Master of Arts (MAT) in Teaching. During my studies in Electrical Engineer and Physics I studied mathematics extensively from Algebra through Calculus, Engineering Calculus, Differential Equations, and many other advanced mathematics including Linear Algebra. I studied Linear Algebra in my curriculum for my BSEE, in my graduate work, and in my studies of computer hardware design. I used Linear Algebra in my work for over 30 years as an electrical engineer and physics teacher.

Logic

Overview:
Logic can be many things; many disciplines have a study of logic as it relates to their subject. Philosophy studies symbolic logic as a way to determine the validity of a formal argument and the truth of statements. Logic in philosophy uses predicate and propositional calculus. Mathematics and computer science studies logic in a mathematical way using Boolean algebra. Computers all operate using digital logic circuits.

As part of my education I studied digital logic and Boolean algebra in engineering. I also studied symbolic logic and predicate and propositional calculus in the philosophy department. For 20 years as an electrical engineer I used my knowledge of logic and Boolean algebra to design computer hardware.

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I have a Bachelor of Science in Electrical Engineering (BSEE) and a Master of Arts in Teaching (MAT); and I was was a computer hardware designer for 20 years. I have studied and used formal logic systems extensively in my work designing computers. I used Boolean algebra and digital logic to design and analyze computer circuits.

There are other logic systems such as 1st order logic that are studied in mathematics and other disciplines. The details of different logic systems vary but the basic concepts are the same. Logic is one of my favorite subjects and my interest in it is what influenced my becoming a computer designer.

Physical Science

Overview:
Physical Science is a combination of physics and chemistry, giving the basics of each in a conceptual and practical way, with little math, and is targeted for 7th to 9th graders. It provides a basic background in both of these physical sciences to give a student a good start for studying either in later years. There is a curriculum of physical science called IPS or Introductory Physical Science that is strictly about chemistry. It requires a good deal of conceptual and introduces students to the scientific process and a few scientific principles such as mass is conserved, all measurements have so error.

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I am a Massachusetts licensed Science Teacher and I have taught both the IPS and Physical Science curricula in high school. I have a Bachelor of Science in Electrical Engineering (BSEE) and a Master of Arts (MAT) in Teaching. During my studies in Electrical Engineer I studied physical science, physics, and chemistry. I am well prepared for tutoring physical science with experience explaining all of its topics in multiple ways to students. I have also studied mathematics extensively and had experience using it in teaching physical science at a level understandable to physical science students.

Physics

Physics is the oldest and most fundamental and basis of all sciences. Physics can be studied at many levels. Conceptual Physics and be studied from 9th grade throughout college and is mostly conceptual and trying to understand the topics with a limited dependence on maths. Standard physics studies physics mathematically using algebra and is studied from 11th grade throughout college. In college students can take conceptual, standard physics, physics for scientists, physics for engineers, or physics for physic majors. physics for engineers and physics majors is studied with calculus.

I am a Massachusetts licensed Physics Teacher. I have a Bachelor of Science in Electrical Engineering (BSEE) and a Master of Arts (MAT) in Teaching. During my studies in Electrical Engineer and Physics I have studied mathematics extensively from Algebra through Calculus, Engineering Calculus, Differential Equations, and many other advanced mathematics. Electrical Engineering is a study of physics, especially Electro-Magnetics, and the mathematics required to describe electrical systems and to solve EE problems. As a Physics and Science teacher I have taught Applied Mathematics principles including Algebra, Geometry, Trigonometry, Statistics, and Calculus to students to solve their science problems.

More:
There are many domains in physics: motion, forces, energy, electricity, light; just to name a few. In a physics class these are taught in a specific order so that the concepts build on each other. It is important that the students keep up. If they do not understand something they must seek help before the next topic so they do not become lost.

I believe in and use a technique combining the Socratic Method and the Mathematical Modeling method for teaching physics. Mathematical Modeling develops a series of models for each concept using first year algebra. A student can learn to understand concepts before learning the name or equation. This method of "understanding before naming" is from Nobel Laureate Leon Lederman who wants students to understand concepts first, and only then be given the name, equation, and other things that students normally memorize.

The relatively recent move to study physics in 9th grade is based on physics being the fundamental science to others. When student know about forces and electricity that can understand why chemicals behave the way they do. Then when students know about chemistry they can understand the processes of life which are chemical processes.

I have taught classes in Physics, Physical Science, Astronomy, and Chemistry for high school freshmen, juniors, and seniors at the honors, college, and general levels. I have been Assistant Professor of Physics on the adjunct faculty of a nearby state university.

Precalculus

Overview:
Pre-Calculus (which used to be called advanced mathematics) is a study to gain an understanding of many topics, each of which is required for calculus. More advanced algebra is studied especially graphing of equations; geometry is extended to the study of analytical geometry, trigonometry, and real meaning of pi; logarithms and exponentials are studied including base 10, natural logs, and the significance of the number e; matrices are studied and students are introduces for the first time to linear algebra, sequences and series are studied for the students first time; and often the topic of limits are introduced.

I am a Massachusetts licensed Science Teacher. I have a Bachelor of Science in Electrical Engineering (BSEE) and a Master of Arts (MAT) in Teaching. During my studies in Electrical Engineer and Physics I have studied mathematics extensively from Algebra through Calculus, Engineering Calculus, Differential Equations, and many other advanced mathematics. Electrical Engineering is a study of physics, especially Electro-Magnetics, and the mathematics required to describe electrical systems and to solve EE problems. As a Physics and Science teacher I have taught Applied Mathematics principles including Algebra, Geometry, Trigonometry, Statistics, and Calculus to students to solve their science problems.

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As you can see, pre-calculus is a course of many topics and is fast moving from one to the other. This requires the student to become more than a pupil. A pupil is taught by a teacher or attends a class; but here the pupil must become more and become a student of the subject, someone who is interested in and studies the subject, someone who is willing to put in the hard work to truly understand the topics.

Special Needs

I am not a special education teacher but as part of my Masters of Arts in Teaching, teaching special education students in the classroom was a topic in many of my classes. Also I completed a course from the special education department in teaching math and science to special needs students.

I have had special needs students in my classroom including: a number of ADD/ADHD students; multiple Aspergers and dyslexic students, others who had just moved to US and spoke no English (one Japanese, one Vietnamese, and one Ukrainian) and other special needs including quadriplegic, test anxiety, and executive function. I have also tutored special needs students, some with WyzAnt, mostly including ADD/ADHD and one with profound dyslexia.

I do not tutor students specifically for or in their special need. But I am well qualified to teach my subjects in the math and sciences to special needs students and make appropriate adjustments to help them.

Trigonometry

Overview:
Trigonometry is usually studied as pare of pre-calculus, but sometimes as its own subject. It is the study of the geometry and properties of triangles. Trig is used in navigation, all of the engineering sciences, physics, surveying, and many manufacturing and construction trades. Trigonometry can be use to model waves and helps with mathematical calculations of waves and digital signals.

I am a Massachusetts licensed Science Teacher. I have a Bachelor of Science in Electrical Engineering (BSEE) and a Master of Arts (MAT) in Teaching. During my studies in Electrical Engineer and Physics I have studied trigonometry in most of its applications. I also studied other mathematics extensively from Algebra through Calculus, Engineering Calculus, Differential Equations, and many other advanced mathematics. As a Physics and Science teacher I have taught trigonometry to students in high school and college and showed them how to solve their science problems with it.

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Trigonometry has many more facets than it would seem and is used in places that have nothing to do with triangles. We can model the waves in the ocean with triangles and trigonometry. It is often difficult at first but once the basic ideas are learned becomes easier. I know how to explain those ideas to students in ways for them to understand.

Trigonometry can also involve a great deal of memorization making it hard. I know how to explain the concepts to students in ways that will help them to minimize the memorization and make the memorization they need to do easier. Some of these ideas have been published for other to use.

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Education

University of Hartford - BSEE, Bachelor of Science in Electrical Engineering (Electrical Engineering)

Simmons College - MAT, Master of Arts in Teaching Physics (Master's)

Great tutor and very patient in explaining the problems — If my son needs help next year with physics or calculus, I am definitely going to contact him. He helped my son with trig. ...

— Anjum from North Attleboro, MA on 7/1/14

Hourly fee

Standard Hourly Fee: $60.00

Cancellation: 24 hours notice required

Ask about my group and homeschool rates. Families of Deployed and Recently Deployed Soldiers: Special arrangements and discounts are happily arranged.

Travel policy

Robert will travel within 18 miles of Medfield, MA 02052.

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