Building Math Success from a Strong Foundation

Jul 29, 2021 | Location North Bethesda

Unlike many academic subjects, math builds upon itself level by level, so it’s important to start with a strong foundation. The proven Mathnasium MethodTM forms the foundation for math mastery through deep understanding, with carefully selected topics that lay the groundwork for Number Sense and other concepts encountered later in school. As students increase comprehension and build math skills, their excitement and confidence grow, and they strengthen their natural love of learning.

Dependent Skills: A child must understand counting, then grouping, in order to be able to work with fractions and more advanced concepts. Introducing concepts out of order puts the student’s mathematical foundation at risk.

Independent Skills: As a child advances through each dependent skill, they also use independent skills. For example, when a student works on grouping, they can also solve word problems, identify even and odd numbers, name basic geometric shapes and more.

It begins with Number Sense

One of Mathnasium’s strengths is that we are able to assess where a child is in their math development – at any age – and fill in the gaps. When we give assessments to children in our math learning centers, we see that a high proportion of their knowledge gaps stems from a lack of Number Sense, or “the ability to appreciate the size and scale of numbers in the context of the question at hand.” In essence, it’s the understanding of what numbers mean, how they work together, and how they connect to real life.

It’s critical that children have a firm grasp of Number Sense, because it underlies all mathematical comprehension and ability. However, it’s never too late to learn.

We break down number sense into three basics:

Counting. A child who fully understands counting can count FROM any number, TO any number, BY any number, both forward and backward. And they can do this in their head.

Wholes and Parts. We teach the principle “the whole equals the sum of its parts or, any part is equal to the whole minus the rest of the parts.” A full comprehension of this principle leads to success with problem-solving and fractions – the nemesis of many children (and many adults, too).

Proportional Thinking. Proportional thinking is thinking “according to amount.” It’s a sense of scale. It helps children to understand problems such as: Five is what part of 15? If you can buy 3 candies with $2, how many candies can you buy with $10? Children who have learned proportional thinking can answer these questions quickly and easily.

The following principles are also important to fully possess number sense:

Quantity and Denomination. The quantity is the amount of something – the number of things. The denomination is the name-value of that thing. In order to solve math problems, you need to know both.

The Law of Sameness. Mathnasium’s “Law of SAMEness” says that we can add and subtract only things that have the same name (same denomination). Here’s the classic Mathnasium example: When you add two bananas and three apples, do you get five banapples? Of course not. You can, however, get five fruits. “Fruit” is the denomination (name) that both apples and bananas share.

Numerical-Computational Fluency. Numerical fluency is the ability to effortlessly recall – to know by heart. While memorization is the way that many of us learned, it does not teach the mathematical thinking that is needed to build higher-order math skills. A student may memorize their multiplication tables, but a numerically fluent student uses efficient, scalable, reliable strategies to quickly answer questions far beyond that. For example, a student with numerical fluency can solve problems like 18 x 12 = ? without the need for pencil and paper. We like to say: “It is fairly easy to forget that which you have memorized, and it’s nearly impossible to forget that which you have learned.”

Mathnasium places enormous emphasis on number sense because it truly is the key to mathematical understanding. When children learn number sense, they are on the path to math mastery and to a love and appreciation of math that will positively impact their entire lives.

We can assess your child and fill in the gaps.

When children start learning math correctly, and at a young age, they are able to get the basic concepts and build upon them. However, many children have gaps in their math foundation that prevent them from reaching their potential. Mathnasium can address these gaps in children of any age and keep them from falling behind in the future.

Our proprietary curriculum ensures that students master math concepts before moving on, giving them the rock-solid foundation needed to succeed at more advanced levels. Mathnasium builds math comprehension and skills from the ground up, balancing the short-term goal of raising school grades with the long-term goal of math mastery.

We invite you to stop by your local center to learn more and schedule a free assessment.

Locations near
me
Ashburn 0.93 mi
43330 Junction Plaza
#160
Ashburn, VA 20147
Sterling 4.07 mi
44 Pidgeon Hill Drive
#100
Sterling, VA 20165
Leesburg 5.69 mi
521 E Market St
#B
Leesburg, VA 20176
Herndon 7.66 mi
2465 Centreville Road
#J2
Herndon, VA 20171
Stone Ridge 7.88 mi
42020 Village Center Plaza
#100
Stone Ridge, VA 20105
Reston 8.62 mi
1424 North Point Village Center
Reston, VA 20194
Purcellville 12.72 mi
1020 E Main St
Ste L
Purcellville, VA 20132
North Potomac 13.58 mi
12150 Darnestown Rd
Gaithersburg, MD 20878
Centreville 14.52 mi
5959 Centreville Crest Ln
Centreville, VA 20121
Fairfax 14.67 mi
11891 Grand Commons Ave
Fairfax, VA 22030
Potomac 14.98 mi
10232 River Road
#B
Potomac, MD 20854
Germantown MD 15.03 mi
12800 Middlebrook Road
Germantown, MD 20874
Tysons 15.45 mi
328 Maple Ave E
#A
Vienna, VA 22180
Haymarket 17.87 mi
15125 Washington St
Haymarket, VA 20169
Rockville 18.19 mi
20 Courthouse Square
#106
Rockville, MD 20850
Mclean 18.23 mi
1320 Old Chain Bridge Road
Suite #190
McLean, VA 22101
Gaithersburg 18.71 mi
9132 Rothbury Drive
Gaithersburg, MD 20886
North Bethesda 20.42 mi
5268 Nicholson Ln
#N
Kensington, MD 20895
Falls Church 20.59 mi
6674 Arlington Blvd
Falls Church, VA 22042
Manassas 20.65 mi
9722 Liberia Ave
Manassas, VA 20110
Bristow 20.71 mi
12705 Braemar Village Pz
Bristow, VA 20136
Burke 20.82 mi
9411 Old Burke Lake Rd
#C
Burke, VA 22015
Bethesda 21.3 mi
4918 Fairmont Ave
Bethesda, MD 20814
Annandale 21.64 mi
7000 Columbia Pike
Annandale, VA 22003
Damascus 22.77 mi
9815 Main St
Damascus, MD 20872
Arlington, VA 23.29 mi
4801 1st St N
Arlington, VA 22203
Cathedral Heights 23.51 mi
3706 Macomb St NW
Washington, D.C., DC 20016
Olney 23.96 mi
18157 Village Center Dr
Olney, MD 20832
Downtown Silver Spring 24.94 mi
1133 East West Highway
Silver Spring, MD 20910
Lorton 25.06 mi
9027 Silverbrook Rd
#A
Fairfax Station, VA 22039
West Washington 25.69 mi

Washington, DC 20009
Alexandria City 25.7 mi
4605 Duke Street
Alexandria, VA 22304
Lake Ridge 26.5 mi
12473 Dillingham Square
Lake Ridge, VA 22192
Frederick North 26.7 mi
905 W. 7th Street
Frederick, MD 21701
Northern Silver Spring 26.75 mi
732 Cloverly Street
Silver Spring, MD 20905
Alexandria 27.17 mi
6483 Old Beulah Street
Alexandria, VA 22315
Warrenton 27.42 mi
512 Fletcher Drive
Warrenton, VA 20186
Mount Airy 28.24 mi
411 E Ridgeville Blvd
Mt Airy, MD 21771
Capitol Hill DC 28.48 mi
621 Pennsylvania Ave SE
1st-floor unit
Washington, DC 20003
Dale City 28.99 mi
5512 Staples Mill Plaza
Dale City, VA 22193
Mount Vernon 29.66 mi
7696 H Richmond Hwy
Alexandria, VA 22306
Beltsville 30.89 mi
10914 Baltimore Ave
#B
Beltsville, MD 20705
Clarksville 31.56 mi
12250 Clarksville Pike
#D
Clarksville, MD 21029
Laurel 35.02 mi
10095 Washington Blvd N
#136
Laurel, MD 20723
Woodmore 35.27 mi
9101 Woodmore Centre Drive
Lanham, MD 20706
Glenn Dale 35.83 mi
10559 Greenbelt Rd
Lanham, MD 20706
Sykesville 36.57 mi
1207 Liberty Rd.
#D-104
Sykesville, MD 21784
Ellicott City 37.11 mi
3290 Pine Orchard Lane
#B
Ellicott City, MD 21042
Winchester 37.62 mi
2512 S Pleasant Valley Rd
Winchester, VA 22601
Columbia 38.19 mi
8827 Centre Park Drive
#F
Columbia, MD 21045
Stafford 39.58 mi
263 Garrisonville Road
#104
Stafford, VA 22554
Bowie 41.26 mi
15231 Hall Rd
Bowie, MD 20721
Waldorf 42.24 mi
3022 Festival Way
Waldorf, MD 20601
Crofton 42.6 mi
1153 Route 3 North
#120
Crofton, MD 21054
Owings Mills 44.15 mi
9433 Common Brook Rd #100
Owings Mills, MD 21117
Pikesville 46.84 mi
1433 Reisterstown Rd
Pikesville, MD 21208
Dunkirk 49.92 mi
10735 Town Center Blvd
#7
Dunkirk, MD 20754