Math Clinic Blog


The Key To Getting A Student Back On Track

The entire spectrum of high school math curriculum is fully accessible to most all students of average intelligence if they are sufficiently motivated and are properly taught. 

Most often when a student begins to struggle in a math course it is because they have missed establishing a core set of fundamentals concepts that is a subset of other concepts and intertwines throughout that particular course.  Struggling students mistakenly see no familiarity from one concept to the next.  

Most often these fundamentals are easily re-introduced and re-established with a skilled tutor.  Often is as much as a single tutoring session.  As an experienced teacher, I can quickly identify and remediate this need.   More importantly,  I strive to give the student the perspective to recognize how these building blocks are repeatedly being applied in their course.  As the student begins to recognize this, it makes the course much less intimidating. This begins the process of build a strong sense of self-confidence in their ability to succeed in the class.  They also have the opportunity to see how the building block concept apply more generally in the learning process.

These core fundamentals will be found in every math course.  For example in Algebra, being adept at manipulating and solving equations.  Again in Algebra,  being able to factor polynomials is a crucial fundamental algebra skill that, if mastered, leads to success over several chapters.  This concept is often poorly taught.  If factoring is not mastered, this will lead to frustration and plummeting self-confidence over several weeks. Homework becomes a dreaded nightly chore as well as an unsolved mystery.  Quizzes and tests are disasters.  The poor grades that follow is a source of conflicts with teachers and parents.  A general aversion towards math begins to set in.  This is also the beginning of the lowering of their expectations of success and their level of motivation in their study of math as it was just getting started.   Lower level, less challenging math classes are recommended and scheduled for the coming years.  If so, the student will miss the many benefits that would have been realized by accepting and realizing success with other typically more motivated students found in the more challenging math classes.



The Homework Dilemma

Many students find themselves night after night trying to complete homework assignments on concepts that don’t yet fully understand.  This is especially true if the classroom instruction was poor, rushed, disrupted, or incomplete.  In light of this, diligent students soldier-on to at least demonstrate an effort to complete the assignment.  This creates a twofold problem.  The student may be actually practicing doing the problems wrong.  Worse yet, they will be missing the main benefit of homework which is to solidify the newly learned concept with practice.

Utilizing a math tutor to keep the student just ahead of the class is the key to turning homework into a beneficial and more rewarding experience for the student.  Time spent on homework is less frustrating and becomes a meaningful practice and preparation for quizzes and tests.  Self confidence soars together with the student's outlook on learning generally.

Please read the blog titled “The Importance of Getting and Staying Ahead



The Common Sense of Tutoring Support for All Students

All students can benefit from one-on-one tutoring.  One-on-one tutoring instruction is simply the most efficient model to learn anything from someone else.  Most would agree that to learn any endeavor, one-on-one instruction is a must to overcome the initial discomfort and awkwardness when first learning anything.  Think of endeavors such a learning to play a sport, learning to play a musical instrument, learning to paint, or even to simply learn to use the features of your smartphone. 

Classroom instruction is incredibly inefficient.   

Tutoring can sometimes be mistakenly thought of in terms of a remediating activity.  However, the overwhelming majority of students in my tutoring practice are students performing at the top of their class.   These students and their parents use tutoring to support their success and maintain a high level of self confidence in their study of math and more generally in their overall approach to school.  

With regular tutoring sessions they eliminate frustration, expect success, and even stay just ahead of their class.  By staying just ahead of their class they are able to benefit more from what can be gained from the classroom instruction.  They are more relaxed in the classroom setting and are relying less on the classroom instruction.  To them,  classroom instruction serves and becomes more of a reenforcement and review.   This also helps them to navigate around and even derive some benefit from inexperienced teachers and poor classroom instruction that are not uncommon in today's education environment.

Within this context consider the many advantages of classroom instruction:

  • Student reaches mastery of concepts faster with more depth
  • Undivided attention by a specialist in math tutoring techniques
  • Coaching and reassurance while student actually solves problems
  • Assures effective & efficient practice & completion of homework
  • Reduces stress & frustration from uncertainty with homework
  • Continuous "checking for understanding" as new concepts are developed
  • Monitors, reviews, and remediates underlying fundamentals as needed
  • Keeps student ahead of class & less reliant on classroom instruction
  • Fosters the development of well organized written work
  • Tactical & strategic problem solving techniques are modeled and shaped
  • Provides opportunities to teach & encourage good study skills
  • Support to take & succeed in more challenging class
  • Fosters the self confidence needed to reach full potential
  • The tutor provides a unique perspective and tone of learning that is often distinctly different from the student's parents, teachers, and peers.  Parents and teachers may project expectations that can be distracting and overwhelming.   As a reaction to these expectations that play out in their work load, testing, and grades, the student can become intimidated and defensive.  The student’s ability to cope with these expectations can be adversely affected by the reward and punishment pressure that teachers and parents can represent.  On the other end of the spectrum, peers with no expectations will be indifferent at best and may even encourage a lack of effort and motivation to learn.  In this context, the tutor’s role is particularly well suited to guide a student without the pressures inherent in the parent-child or teacher-student relationship and within a more collaborative framework.  Additionally, a tutor provides a more adult and encouraging approach than their peers.  This sets the tone for a more relaxed interaction that can lead the student to better understand their potential and the development of their own learning process.

Inquire about your child's participation in The Math Clinic at deaton@mathclinic.org or call 410-817-4033 for more information.

The Importance of Getting & Staying Ahead

Typically when time permits toward the end of a Math Clinic tutoring session, we glance ahead to the next topic the student will be studying.  Surprisingly, in the short amount of time remaining the student can be given an overview of what to expect and have the most important main points established.   Simply, a reassuring preview.  An emphasis is placed on assuring the student that the next topic is but an extension of what they already know and immediately establish a level self-confidence specific to the next topic.    

This gives the student an incredible advantage when that topic is then introduced in class.  With an essential understanding already in place, first-time instruction by the classroom teacher is better understood and more meaningful.  The student is more relaxed and receptive as they already know where it is all heading.  

When learning anything new after the first-time instruction, we all have a few gaps to fill in to reach a full understanding and mastery of the topic.  When a student has had a preview, this first-time instruction serves to immediately begin filling the gaps rather than creating them.  

The first-time instruction is actually then serving as a review of what they already essentially understand.

With a better understanding ahead of the instruction, note-taking and annotation is more efficient and meaningful.  The student will have dramatically more success with homework.  Homework and assignments will then be more meaningful and beneficial.  Assignments will serve more as re-enforcement and practice ahead of tests rather than an arduous and inefficient mechanism to fill in gaps in their understanding.  Homework is then less frustrating and serves more to build the student’s self-confidence. 

Being able to efficiently introduce and de-mystify a topic to its most concise form is the hallmark of my tutoring.   This is the key to taking the latter part of a tutoring session and leveraging the session into an incredible benefit to the student in the days ahead.  A Math Clinic hidden gem in building the self-confidence of a student.




The Importance of Study Guides

Math textbooks are written to fully explained each concept.  This unavoidably can include much discussion, definitions, theorems, exceptions, and even intimitating proofs.  They are written in very formal mathematical language.  Given that math texts all share these elements, many are not particularly well organized or written in clearly understandable terms.  Most students find math textbooks very intimidating and actually avoid trying to read them altogether.

Teachers have the obligation to translate the text for the students.  In short time frames and with ever waning attention spans, paraphrasing and creating outlines of the text in classroom instruction can be a challenge for both the teacher and the students.

In fact, the functional essentials of most math concepts for each new topic can be summarized on a single page with a few formulas and a few lines of notes.

In Math Clinic tutoring sessions the student receives clear and concise instruction on any specific math concept they may present.  The goal is to de-mystify each concept, reduce it to its most fundamental elements, and help the student to realize that each topic is not as difficult as they may have imagined.  For most topics, the student receives a concise 1-2 page Math Clinic Study Guide.

Students are instructed to use the study guide to do their classwork problem sets.  This enables the student to immediately realize success and gain confidence with class assignments and problems sets.   This also demonstrates that the simplified and understandable study guide solves most problems.  If they run into an exception, they are encouraged to simply annotate their study guide.

Their study guides become a valuable part of their class notes.  And a great aid for review before quizzes, tests, and exams.  But more importantly, the study guides demonstrate to the student how concepts that first appear to be complex and intimidating can consistently be reduced down into very concise and understandable terms.  A lesson well learned for a lifetime in our ever more complex and technological world.

The real goal is that the student will begin to develop the skill to reduce what first appears to be complex topics to more simplify workable elements.  This is what being “educated" is all about.

P.S.  Once the student is successful working a full range of problems using the study guide,  reading the text will be more understandable and beneficial.    When the student sees concepts they already understand presented more formally, they begin to refine their fluency in the “language" of mathematics.   The text can then become more of a useful reference. 




Why is Classroom Learning so Inefficient?

"Learn in an hour what your class tries to learn in a week.”

This quote is not an exaggeration.  A teacher with a class of 20-30 students is forced to pace the class to suit the lower 50% of the class, if not the lower 25% of the class.  Leaving behind these students is not an option and assuring their success is an expected priority.

Classroom management issues centered on less motivated or even just frustrated students is an inevitable distraction.  

Student absenteeism, sometimes chronic, is a daily source of a slower pace in the class. These students, having missed building block concepts, require attention to get them back on track with the rest of the class.

All these factors that slow the pace of the class significantly affects the continuity and flow of information for capable motivated students poised and ready to proceed.  It is comparable to listening to someone talking extremely slowly or watching a show with incessant commercials.

In a one-on-one tutoring session, checking for understanding and filling in the spaces on each concept can be done very quickly.  Instruction can be tailored to the student’s particular learning style and disposition.  Encouragement and motivation can be personalized effectively.  Coaching the finer points of each concept can be well placed and in context as the student works through problems.  Within a session, there are many opportunities for quick asides to suggest good organization, study skills, and memorization strategies as may specifically apply to the student.

A classroom student simply will not consistently receive these benefits in a classroom setting, if they receive them at all.

As a result, in a tutoring session with an experienced teacher, the student learns more thoroughly at a much faster rate in a manner tailored to their learning style and disposition.  And with the encouragement and coaching only possible in a one-on-one interaction.


Steps To Solving Difficult Problems


Problem Solving Wizard 3


Study Skills Successful Students Practice

Study Skills



Why the Traditional Classroom Setting May Not be Bringing Out Your Child's Full Potential

The traditional math classroom setting, even in private schools or in a particularly well managed class, is not well suited to bring out a student's full potential.    Math teachers are always under pressure to move on to the next topic to cover a necessarily extensive curriculum.  This is even more true in the higher level classes.  Large classes, interruptions to the class schedule, and students that lag for a variety of reasons(but NOT aptitude) magnify the time constraint.   This compresses the already limited time that can be allotted to each concept and significantly reduces the time to give each student the amount of individualized instruction and encouragement they will naturally need to reach their full potential.   

There simply is not enough time in a traditional classroom setting for a student to receive significant individualized instruction.   If there are but 20 students in a 40 minute class, each student has an average of 2 minutes available for them.  If the teacher addresses the class as a whole for an average of at least 20 minutes for direct instruction and to check for and go over homework, then each student actually has an average of but 1 minute available for individualized attention.  In practice most teacher are not able to accomplish even this small level of contact with each student on a daily basis.  Imagine trying to learn to play the guitar, golf, or the art of drawing and painting in a class of 20 as compared to one on one instruction. 

One on one instruction allows for the continuous "checking for understanding" as concepts are developed.  The review and remediation of the underlying fundamentals can be monitored and addressed as needed within their ongoing course work.   Coaching and reassurance as the student actually solves problems fosters the development of well organized written work and shapes tactical and strategic problem solving techniques.  One on one sessions provide many opportunities to teach and encourage good study skills that are applicable to other courses.  The biggest benefit of one on one instruction is the opportunity for the teacher to monitor, encourage, and build the confidence that is so fundamental to a student's ability to learn.  These important aspects of learning math rely heavily on the experience, skill level, and motivation of the teacher.  Even more significantly, they simply are not possible in typical classroom instruction because of the time constraint per student.

The economics of operating a school dictates the necessity of classroom instruction to large groups of students.  The larger the group of students the more cost effective providing the service will be.  Consequently, school personnel avoid the acknowledgment of the overwhelming benefits of one on one instruction.  With so many students, teachers tactfully avoid one on one help as this could become unmanageable in the context of their many responsibilities.  Some teachers may even view one on one help as enabling disorganized and unmotivated students.  Referrals to students and parents to seek one-on-one tutoring outside the school can be negatively viewed as a concession to their limitations to provide effective instruction and support for their students.  Referrals for one on one tutoring is reserved only for students that have become overwhelmed. 

Mature, highly disciplined, and self reliant students are able to thrive in a relative sense and realize a higher level of success in the traditional classroom.  Students that are not well organized, lack confidence, and/or are distracted by the dynamic social atmosphere in a school will struggle and begin to languish.  Teachers are forced to prod on and teach to the upper 1/2 or 2/3 of the class.  If struggling students remain motivated, they are forced to forage for one on one help from other students, reluctant teachers, and parents.

A student begins to accumulate more and more gaps in their understanding of underlying principles.  As they sense they are losing ground they become more reticent to assert themselves in class to assure their own understanding.  Even if they continue to put forth effort, homework and tests becomes a frustrating exercise in futility.  The "snowball effect" can soon find a student completely overwhelmed and entertaining thoughts that they simply are not capable of success in math.  Their self confidence and self esteem begin to erode.  Poor test results, unhappy progress reports, conflicts with teachers and parents begin to set the tone of their school experience in general.  This can lead to concession and a self-effacing disposition toward math and even learning in general.  Changing the student's schedule to a lower level course is the most common quick fix solution.  However, this starts the student on a path away from realizing their full potential and the self esteem and confidence that are possible.  This is the antithesis of what real education needs to be in such formative years of a child's life.  There is no better way to foster the growth in a child than to foster their self confidence in their ability to learn.  This is the student's foundation on which a love of learning will support an active mind and a full and purposeful life.

The Math Clinic fills this gap in the traditional classroom setting perfectly with one on one instruction from a skilled and experienced teacher.   Students are shown that success in math is as accessible to them as anybody else.

More specifically, The Math Clinic can help to address some of the following obstacles to success in math that your child may be facing in their school:

  • A class based on an inefficient educational model
  • Distracting/Disruptive Class Environment
  • Uncertainty of moving up to a more challenging and faster paced class
  • Generally lacks confidence and is apprehensive about math
  • Discouraged by a bad experience in a prerequisite course
  • Poor Curriculum
  • Poor Instruction
  • Busy schedule with sports, job, & extracurricular interests
  • Inefficient study skills
  • Absenteeism due to illness, competitions, or vacations
  • Your child’s school may not be able to address these obstacles effectively.

Inquire about your child's participation in The Math Clinic at deaton@mathclinic.org or call 410-817-4033 for more information.


The Benefits of the Math Clinic Tutoring Service for your child

  • Tutoring at an affordable cost. 
  • The Math Clinic is a Tutor-On-Demand and fits a typical student's busy schedule.
  • Planned lessons by topic provides the student with great notes, study guides, and gives structure to each tutoring session.
  • Access to an experienced math tutor that will support, encourage, motivate, answer questions, and de-mystify math
  • Helps to insure success in the student's math class which can be a factor in developing  a healthy sense of self esteem and self confidence which can carry over into other subjects and pursuits.
  • Compensates for a less than optimum teacher and class that your child may have been scheduled in their school.
  • Provides the extra level of support that may be needed because of your child's lack of confidence or busy schedule.
  • If the student misses a significant number of classes because of an injury or illness, The Math Clinic can provide the needed instruction and support to get the student caught up and back in phase with their class.
  • Helps to relieve the stress of school, college applications, and adolescence 

Inquire about your child's participation in The Math Clinic at deaton@mathclinic.org or call 410-817-4033 for more information.







Mark Deaton    Call or Text:  (410) 817-4033       Email:  deaton@mathclinic.org                           © Mark Deaton 2019