Over 1250 tutoring hours

Duncan M.

Sacramento, CA


Experienced Math and Statistics Tutor For HS and Adult Students

In-person lessons
Background check passed as of 1/27/15
5.0 average from 350 ratings
Great Tutor!!!
— Mia, Citrus Heights, CA on 3/25/15

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UC Davis
B.S. Mathematics
San Francisco State University (SFSU)
Graduate Coursework


UC Davis (B.S. Mathematics)

San Francisco State University (SFSU) (Graduate Coursework)

About Duncan

In the past two years I've worked with hundreds of students in math and statistics courses. Subject matter ranges from Pre-Algebra through Calculus, Introduction/Elementary Statistics, AP and Honors HS math and statistics courses, and college (lower division) math, calculus, and statistics courses (including applied statistics courses often included in on-line B.A. programs).

I've found that most students have two basic issues to some degree:

1. They are struggling with or are looking to improve their understanding of subject-matter.
2. They don't have well-developed academic fluency. That is, they don't know how to apply themselves independently to address issue #1.

I work with students to help them in both areas. I believe it is important for students to not only increase their subject matter proficiency and skills; I work with students to help them become better students overall.

Typically, I will see a student weekly (in some cases, twice weekly) for a short period or over the course of an entire school term. I've had students that I see for only a few sessions (say for help with a particular assignment or to prepare for an exam). I've had students that I've seen throughout their High School career through all of their math classes.

I do work with adult students in all contexts (Junior College, University, on-line courses, test preparation, etc) for varying periods.

With all students, my first question is about identifying the goals of the student-tutor relationship. Then I work with the student to develop a plan for achieving these goals; this second step involves looking at the student's situation: grades, recent assignments, structure of coursework, etc. In short, we get organized. In this process I can quickly identify the areas that a student should prioritize and recommend discrete steps to advance towards their goals. During sessions I help with homework, preparation for exams, and reviewing past material.

Candid communication is vital in all of my tutoring relationships, and if we work together you will get calls and texts from me and I will welcome the same. This includes parents for High School students; maintaining candid dialog with parents is something I take seriously.

I see students M-F and Saturday mornings. I try to schedule HS students 3-5, 5-7, or 7-9 on weekday evenings. This allows for 90 minutes of instruction and time for me to travel between appointments. I do my best to be flexible, and I prioritize students that make and keep regular appointments.

I look forward to discussing your tutoring needs! Please email with any questions.

Thank you.

Duncan M.
In the past two years I've worked with hundreds of students in math and statistics courses. Subject matter ranges from Pre-Algebra through Read more

36 hours notice required

Cancellation fee at my sole discretion. I'm more likely to waive if you: 1. Call/text my phone to cancel (not email). 2. Have a 'good' reason. 3. Cancel ASAP. AND 4. Reschedule. Thanks! DM

Travel Radius
Travels within 20 miles of Sacramento, CA 95821
Background Check: Passed
In-person lessons

"Great Tutor!!!"

- Mia, Citrus Heights, CA on 3/25/15

"Extremely knowledgeable, helpful, and patience"

- Dianne, Sacramento, CA on 10/3/16

"Finally found a fantastic tutor!!"

- Lauren, Roseville, CA on 5/31/16

"Very patient!"

- Tina, Roseville, CA on 4/9/16

"Outstanding Instructor"

- Kathy, Roseville, CA on 3/30/16

"Very knowledgeable and personable"

- Kim, Fair Oaks, CA on 3/14/16

"Enthusiastic and extremely helpful"

- Lili, Sacramento, CA on 2/17/16

"Great Tutor!"

- Dan, Granite Bay, CA on 2/1/16

"Highly Recommended"

- Holli, Sacramento, CA on 1/31/16

"Great Tutor"

- Deep, Elk Grove, CA on 1/20/16

"Duncan is very helpful!"

- Dafna, Sacramento, CA on 11/30/15

"We highly recommend Duncan as a tutor to improve your child’s math skills."

- Gina, Carmichael, CA on 7/12/15

"Timely, knowledgeable, and patient tutor."

- Lori, Sacramento, CA on 7/5/15

"Very organized and got right to the root of the problem"

- Ian, Roseville, CA on 12/26/14

"Very Knowledgeable"

- Joanna, Fair Oaks, CA on 10/25/14

"Top Notch Tutor"

- Rick, Rancho Cordova, CA on 10/24/14

"Great First Meeting and Continued Progress throughout the Summer"

- Lisa, Granite Bay, CA on 8/2/14

"Great Tutor!"

- Christina, West Sacramento, CA on 6/27/14

"Duncan is the greatest"

- Joan, Sacramento, CA on 6/7/14

"Great Tutor for College Algebra"

- Zachary, Sacramento, CA on 5/30/14

"Excellent Tutor"

- Annice, Sacramento, CA on 5/27/14

"A great help"

- Joanne, Roseville, CA on 4/6/14

"Great knowledge and kept my son focused."

- Brad, Rocklin, CA on 3/9/14

"Knows the subject matter"

- Harold, Sacramento, CA on 2/12/14


- Gina, Loomis, CA on 1/26/14

"Truly understands Geometry and teaches it clearly"

- Nicole, Sacramento, CA on 12/6/13

"Very good"

- Chase, Galt, CA on 12/4/13

"Excellent experience with Duncan"

- Carol, Elk Grove, CA on 11/3/13

"Great Tutor!"

- Charlotte, Folsom, CA on 7/22/13

"Great tutor, easy to wok with."

- Sarah, Roseville, CA on 6/21/13

"Patient and Able to Relate To My Kids"

- Alana, Roseville, CA on 5/29/13

"Duncan is the man!!!"

- Tracy, Elverta, CA on 4/3/13
ACT Math, Algebra 1,
Algebra 2,
Discrete Math, Elementary Math,
Finite Math, Geometry,
Linear Algebra, Prealgebra,
SAT Math,
Test Preparation:
SAT Math,
Elementary Education:
Elementary Math

Approved subjects are in bold.

Approved subjects

In most cases, tutors gain approval in a subject by passing a proficiency exam. For some subject areas, like music and art, tutors submit written requests to demonstrate their proficiency to potential students. If a tutor is interested but not yet approved in a subject, the subject will appear in non-bold font. Tutors need to be approved in a subject prior to beginning lessons.

Algebra 1

The word Algebra is Arabic in origin and refers to a system of rules used in mathematics. I tutor all levels of Elementary Algebra (Algebra I, Algebra II, and Pre-Calculus). Elementary Algebra is the "rules of the road" for all of our work in Calculus and calculations related to the sciences. It's fundamental and vital to understanding in Science, Technology, Engineering, and Mathematics fields.

Algebra I is about learning **basic** skills beyond Arithmetic. It's math boot camp and we do a lot of exercises here. We learn how to be academic **and** we learn Algebra.

Algebra I or Algebra II are where otherwise successful and capable students run astray. This is where I see a lot of students, for the first time, faced with a subject that requires discipline and investment of time.

Algebra 2

First read my Qualifications for Algebra I.

Algebra II starts with an extensive review and more rigorous treatment of Algebra I.

Then we continue with skill development. There is lots of exercise, but Algebra II gets more 'colorful' and interesting than the basics in Algebra I.

Algebra I or Algebra II are where otherwise successful and capable students run astray. Here is where I see a lot of students, for the first time, faced with a subject that requires discipline and investment of time.


I tutor only the Arithmetic Reasoning and Mathematical Knowledge portions of the exam. I am intimately familiar with the content of these sections of the exam and focus students on developing and sharpening the skills required for that content. Most of the work is within the Pre-Algebra subject matter heading, though mastery of Algebra I concepts and techniques is also required to earn high level scores in these two sections of the exam.


I am well versed in the fundamentals of Statistics and research methods involving, Study Design, ANOVA, and Linear Regression. I learned these skills through upper division study in my career at UC Davis, and by tutoring several students in upper-division and master's level Stat courses.


Calculus is the Mathematical study of change. Though we are introduced to simple change in Algebra, most of science's problems are beyond the scope of Algebra. Calculus gives us the tools to study diverse processes that change over time and/or location. Most students I encounter are enrolled in High School AP Calculus courses or lower-division Calculus at a college or university as part of a math requirement for a science major. I am well-versed in the structure and content of the HS AP Calculus Exams. As an undergraduate, I earned A grades throughout the lower division Calculus courses at UC Davis. I also completed the upper-division Advanced Calculus courses with B and B+ grades.


I took the CBEST in 1997 as part of my Secondary Education Teaching Credential program. I passed the test and went on to enroll in a master's program in Secondary Education at SFSU. I then taught HS math with a California CTC Emergency Credential. I have recently reinstated my credential for substitute teaching in CA.

The exam is fairly straightforward; it is (+/-) comparable to the SAT.

By DM (6/29/13)

Elementary Math

Elementary Math is closely related to Pre-Algebra. Usually a term reserved for younger students , Elementary Math is basically Number sense and Arithmetic skill. These are important competencies for anyone living and working in our modern society.


Geometry here refers to High School Geometry. The study of shapes and their properties. In this course, students are expected to gain logic and reasoning skills in a mathematical arena. Geometry is in one sense a 'side-trip' in the mathematics progression; but it is a valuable and necessary experience that develops critical-thinking and problem-solving skills in a more spatial and less analytical way. Often students that struggle in Algebra will find Geometry refreshingly accessible... and vice-versa. However, contemporary math curricula blend elements of Algebra throughout Geometry (in part to keep Algebra skills sharp between Algebra I and II).


For my discussion of tutoring GRE, please read my SAT Math qualifications.


Pre-Algebra is vital for success in Algebra and on in Mathematics. Number sense, Arithmetic skill, and overall proficiency are necessary for the study of Elementary Algebra and other Mathematics subjects. However powerful the technologies of computers and calculators may be, the process of learning Pre-Algebra skills and competencies is invaluable. In addition to being valuable and necessary for general scientific fluency, something about the exercise and process of learning these skills predisposes one to success with the higher Mathematics subjects and Sciences.


Pre-Calculus is the 'final wrap-up' of Algebra necessary for success with Calculus. It includes all of the material covered in prior Elementary Algebra courses (Algebras I and II) as well as extensive treatments of Trigonometry, Analytic Geometry, Functions, with introductions to Continuity and Limits. The rigor of Pre-Calculus courses is greater than previous mathematics courses and is often near the level of many Calculus courses. It requires a greater level of discipline and work than do the Elementary Algebras and Trigonometry courses.


Typically students studying Probability do so as part of general Introductory Statistics course. Unlike most sections of Statistics, Probability is very much like other Mathematics subjects students are familiar with (namely Elementary Algebra, Finite Math, etc.). It relies heavily on Algebraic rules and is largely computational. Success here is largely dependent on working problems applying the rules of counting. There are some novel mathematical concepts here that one must master to succeed in this mostly accessible subject area.


For my discussion on tutoring PSAT, please see my qualifications for SAT Math.

SAT Math

I tutor students preparing for diverse exams: ASVAB, ACT, SAT, SSAT, GRE, CAHSEE, GED, etc. My strategy is to work from the best sample test materials available. All of the major standardized exams have materials available which clearly define the subject matter covered. Using these materials students can focus their time and energy efficiently. In most cases, working with these materials quickly highlights strengths and weaknesses. The work then becomes about building skill and confidence over the **entire** subject matter covered on the exam. Often exam preparation/study is done independently (out of a classroom setting) and a tutoring is about providing structure and support to ensure the students make progress and don't falter.


For my discussion of tutoring SSAT, please see my qualifications for SAT Math.


No sub-discipline of mathematics seems to strike more fear into students than Statistics - NORMALCY, HYPOTHESIS TESTING, AND DISPERSION! oh my.

FEAR NOT! Fundamental Statistics, Introduction to Statistics, Elementary Statistics are all names for a first course in Probability and Statistics. This course is often taken as a lower division or, perhaps, a widely offered upper division college course. It may even be offered as an Advanced Placement course in high school.

Whatever the course name, a comprehensive intro to Stat class will cover the same basic principles - in basically the same order! It's a tough class for sure; but not because the concepts are unwieldy. It's tough because it's new, and with some perseverance and an open mind you can be stat proficient!

Descriptive Stat, Probability, Counting, Probability Distributions, Sampling, Inference, Hypothesis Testing, ANOVA, Linear Regression, etc. It all makes sense! (really).


Trigonometry... literally the study of Triangles. But it's so much more. We quickly use the relationships found within triangles to define new functions and we have a discrete branch of Mathematics. Trigonometric principles and features abound in and are vital to the study of Calculus. It is a major part of Pre-Calculus courses and it is also still offered as a stand-alone course in High Schools. A fun subject for many students as it combines Algebra with periodic functions and novel problem-solving techniques.

UC Davis
B.S. Mathematics
San Francisco State University (SFSU)
Graduate Coursework


UC Davis (B.S. Mathematics)

San Francisco State University (SFSU) (Graduate Coursework)

Great Tutor!!! — In efforts to preserve my GPA, I previously withdrew, twice, from Statistics for Social Sciences due to failing grades. I found WyzAnt and Duncan. With Duncan’s tutoring, I went from two failed attempts to a strong A with a 96% and preservation of my overall GPA. I am now working with Duncan in the next level of statistics, Statistics for Psychology. I received an A, 93%, for my first homework p ...

— Mia, Citrus Heights, CA on 3/25/15

Hourly rate

Standard Hourly Rate: $39.00

Cancellation: 36 hours notice required

Cancellation fee at my sole discretion. I'm more likely to waive if you: 1. Call/text my phone to cancel (not email). 2. Have a 'good' reason. 3. Cancel ASAP. AND 4. Reschedule. Thanks! DM

Travel policy

Duncan will travel within 20 miles of Sacramento, CA 95821.