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An important part of learning maths during class hours is to gain the knowledge of topic’s practicality. For teachers, it becomes necessary to embed such fundamentals early in teaching the subject. To achieve some extent of it, they often take the help of math manipulatives. If you have experience in teaching, then you must know the importance of manipulatives in kids learning a subject. Giving them a tangible asset to connect to for developing the basics of the concept. May it be gummy bears counters, calendar chart, or ubiflix cubes, they all helped us concretizing the concepts of mathematical operations right from the kindergarten.
Now the real question is that for how long we could rely on manipulatives? Do they work even when we get to the senior years of school? If so, what kind and how will they be used?
I’ve decided to answer this quite frequently asked question through this post.
There are a lot of varying opinion of the students on how they perceive the maths subject. A major number struggles in the subject and look for an alternative to keep up with the pace. Specially for students with learning disability such as dyscalculia, keeping up the pace in subject is really hard. In all, math manipulatives find its way for importance to middle or high school as well. Students need on-hands manipulatives to master certain part of the subject. This applies to even those who are good in maths. So for this post, I’ve curated a list of 10 best math manipulatives for high schoolers.
Abacus is a great way of learning various mathematical operations such as addition, division and multiplication. Early adapting to abacus as math manipulative really benefits in the long term. Good practice makes you able to do calculations really fast.
Starting from basic level abacus formula operations, students can climb their way to lengthy calculations. For high school students, consistent practice with abacus gives them edge over their competition during numerical exams. There are different types of abacus to learn about with different applications.
Algebra tiles as math manipulative is probably the best investment for a beginners who wants to build a solid foundation of algebra concepts. Algebra is a topic that you can hardly skip any part of. If you do, there is high possibility that understanding it completely just out of your reach as you jump to higher levels.
Algebra is one of the major factors responsible of the math exam fear for students in high school, specially those with dyscalculia and other learning disability. Teachers can specifically target those students with algebra tiles. If you want to practice it by yourself, then we highly recommend you looking at 5 solid examples to understand algebra tiles as a beginning.
Cuisenaire Rod is frequently used (Sometimes in combination) as math manipulatives to explain a variety of math concepts to early learners. Sometimes teachers use it to refer the variable part of the algebra tiles.
Other than this, Cuisenaire rods also used majorly as manipulative for practicing different bar charts, statistics and general arithmetic operations such as, counting, addition, subtraction, multiplication, division, fractions and geometry. Kids learn measurement sense early in life. Furthermore, these cuisenaire rods are great for reinforcing the concept of whole numbers, arithmetic operations, ratio, symmetry, congruence, and patterns.
Two step algebra math stacks game by EAI Education is perfect manipulative for those high schoolers who want to practice and boost their algebraic skills. It tests your mental math abilities. Math stacks game consists of 60 cards, of which 20 starter cards and 40 match cards.
In a typical gameplay, Players take turns to draw match cards. After drawing, player is required to look for the equivalent starter card and place the match card on it. Once a three-card stack is made, it can be collected. The person with the most stacks at the end of play wins! Math stacks got fairly positive reviews. One user said it is perfect for algebra class and gives students a competitive but fun environment to practice their skills.
High schoolers struggling in early algebra should try math balance with weights atleast once. This math manipultaive helps students visualize the early algebraic expressions deep embedding basic concepts. This is done by balancing equivalent numbers on both sides. It is, however, not just limited to algebra.
The math weight balancing is adaptable to many other math concepts such as, developing number sense, manipulating number relationships of equal to (=), greater than (>), less than (<). The method is quite effective in builidng basic math concepts as students can literally take math into their own hands, work towards solutions to math equations and finally see the results!
If not on tips, fractions can be irritating. Specially for high schoolers who are preparing for some competitive examination where timing is everything. Looks easy but the actual challenge is when you have to solve it in tight time frame.
Not everytime you need to pick up pen and paper solving 3/4 , when you already knows that its 75% of the whole. You need to have good understanding of fractions to easily remember how fractions work and how to remember them. Magnetic Fraction Tiles as a math manipulative will help deal with this part. These magnetic aids help learners visualize the fractions and its related concepts like, parts to whole, equivalents, and comparisons. Make your own game and rules while playing with magnetic fraction tiles. It will be real fun.
Graphics Calculator, as the name suggests, is a calculator with high level functionalities. Considered as a potential to revolutionalize the mathematical education, It is used in classroom generally to leap hurdles, speed and making connections among model and other graphical representations. But the real question is, if it can be used as a math manipulative?
Well, the answer is…YES. There are a lot of studies that actually supports the role of graphics calculator in improving algebra and calculus. However, the method in which it is used matters too. You can expect a student to improve if he/she just relies on graphics calculator for every other problem. Making sure they actually learn the concepts through it is important. Students can try out the different possibilities and connecting those with inputs.
Centimeter Grid Dry-Erase Boards are quite popular manipulatives among teachers who want to teach data collection and statistics in an interactive way. Teaching on class board is one thing, but giving the students to try out individually will create an interest to whole another level. It encourages classroom participation which is so much required in learning these topics.
Students can prepare there own data and build different bar graphs using that data. Furthermore, it helps developing their measurement sense. The reusability of the boards gives students endless possibilities to try out to improve their skills. Even though this is mostly used for early learners but teachers can level up the tasks to try out for high schoolers. Try it with drawing equations and graphical representations of various algebraic expressions.
Dominoes have been used widely as a manipulative to teach mathematical operations such as addition, substraction, divison and multiplication to little learners. Inspired by the same, Junior Learning developed algebra dominoes for higher grade students. It tests ability of a student to solve algebraic equation to win the matching dominoes game. Algebra dominoes do have fairly positive reviews. One user says,”It reinforces the skills taught in school and they can master the skills by doing it in a fun way.”
To play the matching game, First dominoes need to be placed facing down. 4 players divide the dominoes (7 for each). The turns start when one player places a starting domino and other players take turn to match the end of domino to forma a chain. If a player can’t place a domino, then they must pick up a spare from the pile. The player who played all of his/her dominoes first wins.
Hands-on trigonometry proof is a good tool for those students struggling in concepts of trigonomtery relations. It improves your understanding in various trigonometric topics such as, Pythagorean identity, a sum formula, a double-angle formula, and two sum-to-product formulas.
As per my experience with teaching tigonomtery (specially the topics of height and distance), visualization plays a very important role. This serves the exact purpose. Students will be given pieces that they have to rearrange to form the correct identity by establishing equalities of areas or lengths. This hands-on approach just enhances your learning to whole another level. The tangible aspect of this manipulative makes abstract relationships real and believable. If you are more into the digital approach for learning, then you must check out 8 cool games for learning trigonomtery. However, students struggling with beginners concepts of trigonomtery must try this tool for once.
How to effectively use math manipulatives for high school?
The list of math manipulatives doesn’t just end here. There are ample products that can be used as an manipulative. But the thing is, if not used correctly with proper measures then it will be a just a waste of time rather being a new learning experience. One sure shot way of getting maximum out of these tools is the individual learning and classroom participation. As in the abacus example, you can’t just teach operations by lecturing on it. Let the students experience it on-hands and let them make mistakes. Discuss how to improve with the lessons learnt.
Students must be encouraged to go out of the box and try new things related to the concept. Encourage the students to go practical nature of the topic and how it applies to real life. This is best explained in the case of trigonomtery concepts where teachers can actually explain the height and distance topic with real poles and buildings. This one is included in our list of best intervention strategies for students struggling in maths. Do check out.
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