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ELEMENTARY SCHOOL MATH TUTORS
In-home and at-school Queens Letters private pay math tutoring for K-5 students.
With Queens Letters’ elementary math tutoring, students are assessed using several researched-based programs, such as the EasyCBM and Go Math. These are great tools that allow us to see if your child is caught up to speed with their elementary math skills (click here to see the skills as broken down per grade level).
What is Multisensory Math?
Multisensory math is a three-dimensional sequential way to learn math. Everyone can benefit from multisensory math particularly those who struggle with math.
Orton-Gillingham Approach in a Math Setting
The Orton-Gillingham approach is a multisensory approach to teaching literacy. It involves using auditory, visual, sensory, and kinesthetic elements to help students understand the connection between language and letters or words.
Multisensory math applies the same principles to mathematics instruction. It encourages the use of touch, sight, hearing, and movement–when learning and teaching a new concept. Marilyn Zecher, M.A., CALT, a certified academic language therapist and specialist, speaker, and former classroom and demonstration teacher, expanded and developed this approach further. She applied and combined the Orton-Gillingham Approach with evidence-based practices based on neuro-imaging studies and NCTM and What Works Clearinghouse recommendations.
Zecher emphasizes the language of math, stressing that the language of instruction is crucial during the process of concept formation and developing skills towards application. Multisensory math uses the Concrete, Representational, and Abstract (CRA) instructional sequence and explicit language to help learners grasp math concepts more effectively.
To ensure effective instruction using the multisensory math approach, learners must be taught explicitly, practice skills consistently, and learn new concepts through CRA.
Concrete (Touch) – This aspect of multisensory math refers to touch. Teachers use tangible objects to represent concepts or numbers, such as breaking apart foam shapes (or using other manipulatives) to demonstrate fractions.
Representational (Drawing) – After concrete or tactile demonstration, teachers can then introduce the representational or drawing aspect. This technique encourages a learner to create his or her own visualization of the concept learned. It also aids students to facilitate their own connections and allows them to write down what they are thinking.
Abstract (Symbols) – Once they have fully understood the lesson introduced and built up during Concrete and Representational, the next stage is the abstract or symbols sequence. Traditionally, teachers introduced math lessons using only abstract concepts (numbers and symbols). And while this has worked for some, other learners find it difficult to grasp math ideas without concrete or visual representation.
Math Concepts that Learners Should Master
According to Zecher, learners must master four conceptual horizons that lay down the foundation for higher levels of math. These are:
- Pattern Recognition and Subitizing – Being able to identify quantity instantly or subitizing is a key concept in math and is one of its foundations. The best way to see quantity is through patterns. Having the ability to visualize numbers is crucial in developing a strong number sense. It opens the path to operational fluency and understanding number relationships. An example of subitizing would be recognizing dice patterns: One can visually identify the number or quantity without having to count or tap each dot. Likewise, it is also important to recognize number bonds and understand that numbers can be decomposed or broken down (such as 8 into 3 and 5 or 2 and 6).
- Place Value – Using craft sticks is a great way to teach place value using multisensory math techniques. As the number gets larger, learners can see the quantity change and feel a heavier weight. Likewise, it helps learners visualize the difference between a number’s standard (the number’s name = 125) and expanded form (what it is made of = 100 + 20 + 5).
- Distributive Property – This refers to a learner’s ability to act on larger quantities and understanding that those quantities can be broken apart or decomposed and act on those numbers. To illustrate, consider 15 x 3. Learners must first understand that 15 can be decomposed into 10 and 5. They can then distribute (multiply) 3 and add those quantities to find the product of 15 x 3.
- What is ONE and all its many names – This refers to the concept that any number written over itself is equivalent to one. Hence, multiplying or dividing by some form of one only changes the composition of the quantity and not the quantity itself.
Getting Started on Multisensory Math Techniques
Multisensory teaching methods were first applied in literacy and reading instruction. But over the years, learning specialists have found that the same multisensory approach can also be effectively used when teaching math. Particularly, when it is applied using the CRA framework.
To get started with multisensory math, it is important to take advantage of skills that a learner has already mastered. From there, new concepts can be introduced using the CRA method. Using manipulatives is integral in multisensory math, but these do not need to be expensive. Some items commonly used are:
- Craft sticks
- Beads and string
- Base ten blocks
- Interlocking cubes
- Color tiles
- Foam stickers
- Flat marbles
- Dice/Dominoes (only up to six)
Here are some multisensory techniques for teaching math:
- Visualizing with manipulatives such as beads, color tiles, or blocks is an excellent technique to teach basic operations like addition and subtraction. By seeing how quantities change, young learners get a better understanding of how math operations work. Visualization also helps children understand amounts and develop number sense.
- Using cubes or tiles to build shapes lets children have a concrete and physical representation of measurements and properties.
- Drawing math problems is an excellent way to reinforce hands-on activities as it lets children illustrate their thinking and the concept they learned.
- Tapping out numbers allows children to “feel” the value of numbers. It helps students better understand and make connections between symbols and actual amounts.
- Using songs to help memorize math rules and introduce new concepts.
- Incorporating movement into math through play and games
- Using bundling sticks or coffee stirrers to teach regrouping and place value. This can also be done using base ten blocks.
- Using a hundreds chart is an excellent way to teach number relationships to children.
- Cutting pizza into slices to introduce and teach the concept of fractions. By cutting up a paper or cardboard pizza, you allow children to see what fractions look like as they select slices.
Find more multisensory math information and resources here:
Our math tutors can help your child with the following:
Number Lines – A number line is the visual representation of numbers such as fractions, integers, and whole numbers. The numbers are laid out evenly on a straight line, which allows students to picture number sequences. Number lines can be used to compare and order numbers as well as to demonstrate techniques for counting, adding, subtracting, multiplying, and dividing.
Addition – As one of the basic arithmetic operations, addition is defined as combining two or more groups of objects into a single group. In math, addition refers to the sum or total of two or more numbers. Learners must also understand the properties of addition in order to work with numbers more effectively.
Subtraction – Subtraction refers to the mathematical operation where an amount is taken away from the total. Like addition, subtraction possesses properties that are key in mastering the operation. Identity property and inverse operations both apply to subtraction. However, it is neither commutative or associative.
Division – This operation refers to the process of sharing a number into smaller groups or distributing into equal parts. It is the inverse operation of multiplication. The commutative and associative properties of real numbers do not apply to division.
Multiplication – In math, multiplication refers to finding the result of two or more numbers by adding the numbers repeatedly. A multiplication sentence contains a multiplicand (the number multiplied by another number), multiplier (the number by which it is multiplied), and the product or result of multiplying. Multiplication possesses the commutative, associative, identity, and distributive properties.
Fractions – Fractions are a way of splitting numbers into equal parts. It consists of a numerator, or the number of equal parts counted, and a denominator that represents the total number of equal parts in one whole. Fractions are classified into three types: proper, improper, and mixed fractions.
Decimals – A decimal is a way to write fractions. It consists of a whole number and a fraction of a whole number (any part less than 1) separated by a dot or decimal point. Decimals are expressed in the scale of tens (tenths, hundredths, thousandths, and so on).
MATH TUTORS IN QUEENS, NY
NYS CERTIFIED CHILDHOOD GENERAL AND SPECIAL EDUCATION TEACHER, MS ED
Andrea loves teaching math and using different strategies for each specific student. She uses a variety of multi-sensory, hands on and visual ways to teach and learn different subjects in math. She brings a variety of manipulatives to see what works best for the specific student. She tutors grades k-4 in math and also provide NYS test prep for grades 3 and 4 in math. Additionally she is trained in the following math programs: Envisions, Go Math and Eureka Math.
Giana M. S.
NYS CERTIFIED in Childhood Education and Special Education (1-6)
Giana Marie Schenone enjoys teaching math and using different strategies for each specific student. She uses a variety of multi-sensory, hands on and visual ways to meet the needs of each learner. She also uses a variety of manipulatives to see what works best for the specific student. She tutors grades K-3 for and is trained in the following math programs: Go Math and Envisions.
M.S. EARLY CHILDHOOD SPECIAL EDUCATION
Michelle loves teaching math and using different strategies for each specific student. She uses a variety of multi-sensory, hands on and visual ways to teach and learn different subjects in math. She brings a variety of manipulatives and games to see what works best for the specific student. She tutors grades k-4 in math and also provide NYS test prep for grades 3 and 4 in math. Additionally, she is trained in the following math programs: Envisions and Go Math.
SPECIAL EDUCATOR AND CHILDHOOD LITERACY SPECIALIST, PRE-K 4th GRADE, MS, PhD
Peter teaches K-4 math using a constructivist approach rooted in language and conceptualization to achieve number sense. He uses a variety of hands-on methods with visual aids and manipulatives to master the operations. Grades K-4, no test-prep.
MA, NYS Certified Pre-K-6th Grade, NYS Certified Childhood Education And Students With Disabilities
Derek has nine years of Elementary Teaching and tutoring experience. He is currently a 4th grade teacher in Brooklyn and has been tutoring with Brooklyn Letters over the past two years. Derek has a wealth of experience working with curriculum writers in the area of math, specifically focusing on differentiating math concepts for struggling students. He has presented a multitude of math workshops primarily in the areas of math fluency, integrating math manipulatives and technology, word problem skills, and strategies for Special Education students. In this role, he supported teachers in the building with planning and differentiating lesson’s and finding ways to build on students math conceptual and word problem skills to be successful.
Derek is proficient teaching Singapore Math, Go Math, Envisions, and knows many instructional technology platforms. He has also worked with math coaches to support students who need curriculum modifications. Additionally, he has taught math academic intervention services for at-risk students in his building. Derek has a multi-dimensional instructional approach to teaching math to various styles of learners in grades K-6.
M.S., Dual Certification
Julie is a NYS certified teacher with 19 years of teaching experience. She holds dual certification; PK- Grade 6 Common Branch/General Education and Students with Disabilities Grades 1-6. After changing careers from business, Julie began teaching 4th grade ELA, math, science, and social studies where she also became familiar with the NY state tests in all subjects. When other opportunities arose to teach 4-5th grade math, 6-8th grade science, and 7th grade ELA came her way in the private school where she worked. Julie was excited about the opportunity to work with students at different stages in their academic lives.
Julie joined the NYC Department of Education as a Title 1 math teacher in 2007 and had the opportunity to work with students in Grades 1-8 in both Brooklyn and Queens providing small group, remedial math instruction. The students Julie was able to work with had different learning issues with math ranging from difficulties with number sense, processing/calculating/fluency, word problem language comprehension, math vocabulary, memory, applying abstract concepts to concrete situations, and anxiety and low confidence.
Julie has extensive experience with GoMath, Engage NY, Finish Line Math, using manipulatives to aid in conceptual learning, and the use of online resources to support Common Core and Next Generation Learning standards in math, Grades 1-8.
Having the experience of working with students at many grade levels has enabled her to understand the developmental needs and abilities of her students not only at their current level but also how and what they need to be prepared for and to be successful in their future grades.
Julie is passionate about the “why it makes sense” in math and not just the steps and rote procedures, and she works with her students so they have those “oh- that’s why!” moments. Her excitement is something her students see and feel from her as she encourages them to take chances and persevere. Julie also believes that ELA has a critical role to play in math instruction as students are required to read and think critically while comprehending math strategies.
Location: Queens, Nassau County, Brooklyn: Williamsburg, Greenpoint
Types of Service: Assessments, math instruction, remedial math assistance, generalized tutoring (both remote and in-person), state testing preparation
Expertise: Math strategies for processing, critical thinking, scaffolding and differentiation for different types of learners
Ages: Grades 1-8.