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Mathematics Articles 
Mathematics articles for teachers and other educators. "Mathematics education is the study of practices and methods of both the teaching and learning of mathematics. Furthermore, mathematics educators are concerned with the development of tools that facilitate practice and/or the study of practice. Mathematics education has been a hotly debated subject in modern society. There is an ambiguity in the term for it refers both to these practices in classrooms around the world, but also to an emergent discipline with its own journals, conferences, etc." Source: Wikipedia.
By: Victor Guskov
When adding fractions we need the lowest common denominator (LCD). We can get it by decomposing each bottom into primes and multiplying the all the distinct primes and the common primes to highest power together. This method is general, but slow and troublesome for students. In nine cases of ten it is possible to obtain the LCD much more easily and quickly.
At first we must think about the greatest common factor (GCF). It is the largest number that divides evenly both giv
32: Learning Math With Manipulatives - Base Ten Blocks (Part III) (1.33/5)
By: Peter Waycik
In the first two parts, representing, adding, and subtracting numbers using base ten blocks were explained. The use of base ten blocks gives students an effective tool that they can touch and manipulate to solve math questions. Not only are base ten blocks effective at solving math questions, they teach students important steps and skills that translate directly into paper and pencil methods of solving math questions. Students who first use base ten blocks develop a stronger
33: Learning Math With Manipulatives - Base Ten Blocks (Part II) (Not Rated)
By: Peter Waycik
In part one of this article, you read about representing and adding numbers using base ten blocks. Once these two skills are mastered, it is time to move onto many a child's nightmare: subtraction. Subtraction, as you may have heard, is essentially addition in reverse. It can be an arduous task on paper, but it can be quite easy with base ten blocks.
Recall that there are four different base ten blocks: cubes (ones), rods (tens), flats (hundreds), and blocks (thousands). Gr
34: Learning Math With Manipulatives - Base Ten Blocks (Part I) (Not Rated)
By: Peter Waycik
Base ten blocks are an excellent tool for teaching children the concept of addition because they allow children to touch and manipulate something real while learning important skills that translate well into paper and pencil addition. In this article, I will describe base ten blocks and how to use them to represent and add numbers.
The numbering system that children learn and the one most of us are familiar with is the base ten system. This essentially means that you can on
35: Flexible Estimation in Math (Not Rated)
By: Peter Waycik
Adults use rounding and estimation in their everyday lives. They approximate the temperature, the cost of items, the time, and even their age. Consider this conversation:
"How much did it cost to fix your car?"
"Six hundred bucks!"
Without any words such as: about, approximately, around, roughly, or nearly, it can be assumed that the second person rounded the actual cost. Before they had their car fixed, they probably received an estimated cost of th
36: Can You Draw a Perfect Hexagon? (Not Rated)
By: Peter Waycik
It may not sound like a difficult task, but constructing hexagons and other polygons can be a frustrating and daunting task for children and adults. A sketch of a square is fairly simple to make as the corners are familiar right angles that most people have no trouble creating. Every other regular polygon from equilateral triangles to dodecagons and beyond can be a challenge without a highly developed ability to recognize and construct a variety of angles. Thankfully, there
37: Adding From Left to Right--A Better Way to Add (Not Rated)
By: Peter Waycik
More than likely, when you learned how to add, you started on the right and moved to the left. If you were adding whole numbers, you added the ones, "carried" if necessary, and repeated for the tens, hundreds and so on. This works well on paper, and it is the most efficient paper and pencil method; however, adding in the other direction has several desirable advantages: the left to right method promotes a better understanding of place value, it can be done mentally
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