## Free Math Help Online

Finding help in mathematics is not easy. The has too difficult to find the solutions in same cases/problems.
Free math Education gives you a new platform to do homework/ solutions for your math problems.

Free math education gives you the detailed course structure of algebra, geometry and Trigonometry course which is helpful for all the grades. This is also useful for school and collage levels including parents also. Many different sources available to help with math homework , online tutoring. free math help, solution on request in mail and many more.

## Thursday, 29 December 2011

### algebra tutoring help

Get Pre Algebra help online with Free ath Education Online Tutorials. You can solve problems, Using basic concepts and get help with your homework too.
Free Math Education Algebra tutoring prepares you for high school Algebra. Study with tutors with many years of experience in mathematics and also ensure that you understand the subject and score well in it.

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# Correlation and Regression

Correlation identify the degree of relationship between the two variables and Regression is used to study the nature of relationship between these variables.

In Case of bivariate population, we calculate the correlation coefficient by cross tabulation method, Charlie Spearman's coefficient and Karl Pearson Coefficient.

Cross tabulation is useful when given data are in nominal form. Under it we can classify each variable into two or more categories and then cross classify the variables in these sub categories.
1.  Symmetrical
2.  Reciprocal
3.  Asymmetrical

In Symmetrical relationship is one in which the two variables are vary together, i.e. if one is increase or decrease other variable is also increase of decrease.

In case of Reciprocal relationship, when the two variables are mutually influence or reinforce to each other.

Asymmetrical relationship is exist if one variable (independent variable) is responsible for other variable (dependent variable).

Charlie Spearman's Rank Correlation Coefficient :

Karl Pearson Correlation Coefficient:
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## Steps of Research Process - Definition Literature Free Tutoring

The scientific method of research basics steps.

Defining a problem:
To start a research, we first of all need to discover the exact problem and which required the solution. The best way to find out or identity the problem area or problem is clearly identified and formulated.

Review of the Literature:
This literature survey involves a review of some published and unpublished work from the available secondary data sources or available data relevant to our study.

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Formulation or Developing Working Hypothesis:
The hypothesis is the main point around which the future research efforts will be directed. All the data collected, the tools of analysis are influenced by the hypothesis. We use the null hypotheses (H0) and alternative hypothesis (Ha) and find out the relevant relations between the different variables

Developing a Research Design:
Research designs outline the conditions for collection and analysis of data, for this we can find the information using sampling design techniques, data collection design and instrument design.

Collection of Data:
Using these (Convenience Sampling, Purposive Sampling, Judgment Sampling, random and cluster sampling, systematic sampling and many more) techniques to find the data collections.

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Analysis of Data:
Now we analysis the data in details and follow the procedure - Coding, Editing, Tabulation and Statistical analysis presentation which needs to help to prepare the final report in research.

Drawing Conclusions:
All the tested hypotheses data interpretation is done with the results on the basic of all the theories

Reporting the Results:
In this section, results launched publically of the research so that the findings can be put to some use in further research. It contains the preliminary section (contains title of the report, table content preface etc), the main text section (contain the main problem area, objective, and research methodology) and the end section (queries, glossary items and supported materials.

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## Saturday, 26 November 2011

### Research Design

The problem that follows the task of defining a research problem is the preparation of the design of the research project is called as a research design.
OR
A research design is the arrangement of all the conditions of the collection & analysis and processed data in a manner that results the all the collection of data in research purpose with an economy in a procedure.
Mostly the final decision happens with respect of:

2. Why is study being made?
3. Where will the study be carried out?
4. What type of data will require?
5. Where can the required data be found?
6. What period of time will the study include.
7. How will the data be analysed.
8. Preparation of a report in final layout.
In briefly, research design must at least contains a clear Statement of the Research Problem, Procedures and Techniques to be used for gathering an information, the population to be studied and methods to be used to processing and analyzing the data in research hypothesis.

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## Simplex Method - Linear Programming Problem

The use of the Simplex method to solve a linear programming problem requires that the problem be converted into its standard form. The standard form of the linear Linear Programming Problem have the following characteristics.

1. All the constraints should be expressed as the adding slack variables or surplus variables or subtracting  artificial varibales.
2.  The right hand side of the each constraint should be non negative.
3.  The Objective function should be of the maximization type.

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This week, you'll find out what you need to know about bell curve, or normal distribution as some prefer to call it.

Bell curve is fitting as the normal distribution takes on the look of a bell which makes remembering this concept easy to remember. To delve in to bll curve a litte more, check out the bell curve formula  from Statistics Guide Courtney Taylor.

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# Mean Median Mode Formulas

Mean: The "mean" is the "average" of given numbers. To find the mean, you just add up all the numbers and then divide by the number of numbers.
Median: The "median" is the "middle" value in the list of numbers. To find the median, your numbers, first list all the given numbers in ascending or descending order, and then find the middle term in the arrangement.
Median:The "mode" is the value that occurs most often.
Range: The "range" is just the difference between the largest and smallest values.

For Example: The mean, median, mode and range of 2,1,3,6,9,8,3,6,3,0,1,6 are:

To Find the Mean just add up all the numbers and divide it by number of total numbers i.e.

Mean = (2 + 1 + 3 + 6 + 9 + 8 + 3 + 6 + 3 + 0 + 1+ 6)/12
= 48/12
= 4

To find the median, first set up all the given numbers in ascending order i.e.

0, 1, 1, 2, 3, 3, 3, 6, 6, 6, 8, 9

Median is the Middle value, i.e average of 6th and 7th term
Median : (3 + 3)/2 = 3

To find the mode, you just see which number is appearing mostly in a given list of numbers.
0 - One times
1 - Two times
2 - One times
3 - Three times
6 - Three times
8 - One times
9 - One times

Mode is : 3 and 6

Range: Highest number- smallest number : 9 - 0 = 9

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## Problem Formulation In Decision Making

To formulate the problem correctly in decision making Techniques, first you know the exact nature of the problem. A problem is exist when we have the following characteristics or the conditions are satisfied.

1. There must be an individual group which has some problems.
2. Main thing is that every problem has some known Objectives to attained or find the solution of the problem.
3. There must be some of the alternatives means sunch as (that is to be action alternatively) for obtaining the Objective wishes to attain it.
4. There must be some environment(s) to which the difficulty pertains

The nature of the problem must be understood in context to the above points before formulation of the problem takes place.

The task of formulating the problem consists in making various components of the problem explict.

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## Elementary Algebra

Elementary algebra is the most basic form of algebra. It is taught to students who are presumed to have no knowledge of mathematics beyond the basic principles of arithmetic. In arithmetic, only numbers and their arithmetical operations such as +, −, ×, ÷

A polynomial is an expression that is constructed from one or more variables and constants, using operations of addition, subtraction, and multiplication. For example, x2- 7x − 1 is a polynomial in the single variable x.

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## Meaning of Operation Research

There have been various definitions for Operation Research
Operation research is the application of scientific methods, techniques and tools to problems involving operations of systems so as to provide those in control of operations with optimum solutions to given problems.

Or
We can also say that Operation Research is applied research based theory which used any scientific, logical or mathematical means to attempt to cope with the problems to co front executives when he try to achieve or dealing with his decision making problems

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## Wednesday, 26 October 2011

### Probability Example

A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. what is the probability that the ball is red?
By using the basics of probability, Total numbers of balls are 3 + 5 = 8, and Number of red balls are 3, Therefore,
Probability (Red Ball) = 3/8

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# Theoretical Probability of an event

If there are n events associated with a random experiment and m of them are the favorable to the event E, then the Probability of the event E is denoted by P(E) is defined by

P(E) = numbers of outcomes favorable to E/number ber of all possible Outcomes = m/n

## Solving Trigonometric Equations - General Solutions

An Equation involving trigonometric functions is called a trigonometric equation. For example,
sinx = 0.50, tan A = 0.75
In this section we just find out the general solution to these given equations.

Let's check, tan A = 0.75, Using the inverse trigonometric function of tangent i.e. tan -1 0.75 =38 degree (approx).
We also know that the tangent function has a period of pi = 180 degree radian and its repeats every 180. in this situation there are many possible answers of this trigonometric functions.
A = 38 + 180 n
where n = 1,2,3,... and you find the most general solution of trigonometric equations.

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## Tuesday, 25 October 2011

### math online video tutorials

Free Math Education contains t he List of Lessons of Algebra, Geoemtry, Trigonometry and Many more Online Courses included Videos.

Here, see the introduction to algebra and some lessons to get you started. Each lesson consists of a math video, study tips and practice questions. In details visit the free math education online Math Tutorials
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## Thursday, 13 October 2011

### General Triangles solution using laws of sine and cosine formula

General Triangles :  Solutions
For a general triangle, which may or may not have a right angle, we will again need three pieces of information. The four cases are:

1.  One side and two angles
2. Two sides and one opposite angle
3. Two sides and the angle between them
4. Three sides are given

Note that if we were given all three angles we could not determine the sides uniquely; by similarity an infinite number of triangles have the same angles.

To solve a general triangle in all four of the above cases. Though the methods described will work for right triangles, they are mostly used to solve oblique triangles, that is, triangles which do not have a right angle.

There are two types of oblique triangles: an acute triangle has all acute angles, and an obtuse triangle has one obtuse angle.

Also Understand the concept of laws of sines and laws of cosines formulas

You can view the trigonometry course content by visiting the following links
Trigonometry Outline: Online Trigonometry Course Online Free Tutorials
Website: www.freematheducation.com

## Parallel and Perpendicular Lines

Two lines with the same slope are said to be a parallel lines. When we plot a graph of parallel lines then they will never intersect to each other. Line AB and Line CD are Parallel lines and it is denoted by AB||CD.

The equation of the straight lines are y = m1x + c and y = m2x + c are parallel  if the slopes of both lines are equal i.e.  m1 = m2 and the lines are perpendicular lines if m1m2 = -1.

The online version of this tutorial can be accessed at www.freematheducation.com.  It provides all the basics and the concept in details including more practice questions with complete step by step solutions.

Free Math Education

## Sunday, 2 October 2011

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Welcome to

## Free math education online tutorials

The online version of this tutorial can be accessed at www.freeematheducation.com.  It provides all the basics and the concept in details including more practice questions with complete step by step solutions.

## Thursday, 22 September 2011

### free algebra online tutorials

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## Tuesday, 20 September 2011

### www.allstarmathtutors.com

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### Ignite event at CMC-S Math Conference

So what could I do to "ignite" thinking about mathematics education given the constraints of using 20 slides and just 5 minutes (with the slides auto-advancing every 15 seconds)? This was the challenge I faced as November 6 approached and I prepared for a so-called Ignite event. The result? See for yourself at Key Curriclum's Sine of the Times blog. Be sure to check out the other presenter's ideas, too, on You Tube. I am sure you'll find something to ignite your thinking about mathematics teaching and learning!

View the original article here

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### Teaching and Learning Fraction Concepts and Operations

The Institute of Education Studies (IES), part of the U.S. Department of Education, has recently released a research-based 90-page report titled, "Developing Effective Fractions Instruction for Kindergarten through 8th Grade." The report begins by detailing the poor level of understanding of fraction concepts and skills among U.S. students. For example data from international and national exams have shown that "50% of 8th-graders could not order three fractions from least to greatest...[and] fewer than 30% of 17-year-olds correctly translated 0.029 as 29/1000" (p. 6). A panel of experts reviewed dozens of studies and identified five (5) recommendations for improving fraction instruction. From page 1 of the document:Build on students’ informal understanding of sharing and proportionality to develop initial fraction concepts.Help students recognize that fractions are numbers and that they expand the number system beyond whole numbers. Use number lines as a central representational tool in teaching this and other fraction concepts from the early grades onward.Help students understand why procedures for computations with fractions make sense.Develop students’ conceptual understanding of strategies for solving ratio, rate, and proportion problems before exposing them to cross-multiplication as a procedure to use to solve such problems.Professional development programs should place a high priority on improving teachers’ understanding of fractions and of how to teach them.This list fits well with the approaches I've found successful in my own classroom (previously) and in the experiences of my credential students in their classrooms. Learning to make sense of fraction concepts requires deliberate activities that allow for sense-making to occur. Some resources to help you design such learning activities are:Have fun with these! It is always great to see students "get it" when working with fractions.

View the original article here

Why would 10,000 teachers of mathematics descend on San Diego for a week? When the annual NCTM Conference is being held there! Check out the amazing list of sessions here.

As a member of the planning committee, I will be in charge of making sure things run smoothly with sessions in the Marriott, so be sure to stop by and say, "Hi!" if you're there.

View the original article here

## Monday, 19 September 2011

### Rote Memorization versus Conceptual Learning

A colleague teaching mathematics at a community college recently asked if I knew of research about "the effectiveness of mass practice in terms of long-term memory."  Apologies in advance if you don't have access to an academic journal database and can only view the article abstracts.

There is research about so-called "human calculators" who do mental math with large sets of figures; in every instance these folks have developed their talent by spending countless hours memorizing arithmetic facts and relationships. Seems in the most extreme cases their brains are wired to support this sort of activity.
http://rstb.royalsocietypublishing.org/content/364/1522/1385.short
However, if we are talking about whether mass memorization equates to meaningful learning for the typical person, evidence from the 1950s demonstrated this was not the case beyond the retention of simple facts:
http://www.sciencedirect.com/science/article/pii/S0022101507632996

Learning with connections is far better. Think about early school mathematics books (in the 1700s) that had page after page of formulas to memorize related to commercial transactions involving proportional relationships among different units. The time and effort it took to try to memorize these was inordinate (and drove many away from mathematics). More "modern" textbooks by the early 1900s had students learn about proportional reasoning as a general relationship that could be applied to an infinite number of specific situations - thus by learning one conceptual relationship (which could then be memorized and also re-constructed if learned with understanding), students had a much better chance of both long-term recall and correct application.

Some recent articles related to this idea demonstrate quite powerfully the advantages to conceptual learning.
http://onlinelibrary.wiley.com/doi/10.1002/ddrr.45/pdf

View the original article here

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### Technology in Mathematics Education

This week Education Week featured an article about technology in mathematics education where I was quoted a couple of times.  The gist of what I had said was the while technology is crucial in supporting mathematics learning, it is not in and of itself a substitute for quality teaching and curriculum materials.  Something not mentioned in the article (which I understand does not have room for everything) was my concern that teachers are not being given enough time to for professional development to not only learn about new technology tools and resources but also to learn how to design and implement learning activities with these.

In case you have the time and interest, here are a few articles and tutorials worth exploring about exciting tools to support mathematics teaching and learning!

View the original article here

### The Importance of Questioning

For the past few years I've taught methods courses for both beginning and experienced teachers of mathematics. One element of these courses has been the use of videos of teachers in the classroom to prompt discussion of specific aspects of practice. The lesson captured in a set of video clips here, "Looking for Squares" by Lisa Brown, is one of the best examples I've found of a teacher's use of questioning to guide students' exploration and eventual sense-making of a mathematical concept, in this case square numbers and square root. It might be helpful to read "Questioning our Patterns of Questioning" by Herbel-Eisenmann and Brefogel, to provide a context for thinking about the use of questioning in a mathematics classroom. What specific strategies and teaching skills does Ms. Brown use to promote, sustain, and engage student thinking? How does this support their sense-making?

View the original article here

### Thinking about Ability - Fixed vs Growth Mindset

In the U.S. many folks perceive there to be a "math ability" that one either has or does not have (see Uttal's research). This actually does much harm to how we structure mathematics learning and limits achievement among students. As a teacher I constantly sought ways to engage students in making sense of mathematical concepts and relationships and believe that with few exceptions the majority of people can learn the mathematics in the K-12 curriculum. This was shown to be true among my students, many of whom went from believing mathematics to be a black hole of nonsensical symbols and rules to realizing the logical structure of mathematics and developing the power to reason mathematically to solve problems. This was possible in large part because I felt they were capable of making significant improvements to their knowledge of mathematics.

Important research from Carol Dweck and her colleagues at Stanford has shed light on the relationship between one's "mindset" toward ability (mathematical or otherwise) and the actions to which this leads in terms of opportunities to learn and feedback to learners. Ultimately, these have serious consequences on learning outcomes. The idea is this: if one believes ability to be fixed - a fixed mindset - this will lead to actions that a) serve to identify who is high-ability and not and b) provide feedback that reinforces ability status, directly and indirectly. The result - a few students are "smart" in mathematics while many others are not. The smart ones must strive to retain that labeling through "looking smart" (often at any cost) while the others see no reason to work at learning what they are being told is beyond their ability. The result is that actual learning among all students suffers.

What Dweck and colleagues found is that changing this script can have pronounced effects. Taking a "growth mindset" that views ability as derived more from effort than some innate quality leads to very difference choices about learning environment and feedback to learners. If one believes most all students can learn mathematics, those who are struggling to do so are in need of support. Feedback such as, "if you work hard at this you will improve" leads to greater motivation and, as their research has shown, greater success. For students who do well with mathematics, the feedback in the growth mindset tells them, "you made a good effort at this and have done well." This is critical because when the mathematics does get challenging (and it will!), these students will persist, putting in more effort, rather than look for ways to simply maintain their "looking smart" status (e.g., shortcuts, cheating, or bowing out).

View the original article here

## Saturday, 17 September 2011

### Welcome!

Welcome to my new foundational-level mathematics blog! I plan to share resources and perspectives on the teaching of mathematics at the middle school and early high school level from my experience as a teacher and math educator. My philosophy of teaching is to create a learning environment in which students are encouraged and supported in making sense of mathematics. My work in public Title I schools in California with learners of all backgrounds convinced me that students have the potential to understand mathematics and the our work as teachers is to uncover and nurture this (as well as prodding it along when needed!). As a professor my scholarship looks at democratic practices in mathematics teaching and learning that work toward creating more equitable learning outcomes. See here for some of my academic musings: http://faculty.fullerton.edu/mellis/Articles%20about%20Mathematics%20Education.htm

View the original article here

## Friday, 19 August 2011

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## Monday, 18 July 2011

### Basic Math Algebra Geometry and Trigonometry Homework tutorial

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## Saturday, 16 July 2011

### Algebra for Beginners - Tips To Become An Algebra Star

Polynomial: An expression is in the form of a0xn + a1xn-1 + ……. + an is known as a polynomial of degree n where a0 0, a0, a1….an are the real numbers and a polynomial in x can be denoted by p(x). The highest power of x in p(x) is called the degree of the polynomial. For example, x2 + 4, x3 – 9, x5 + 4x3 – 3x2 + x – 2 are the polynomial.

More in Details : www.freematheducation.com

## Wednesday, 6 July 2011

### Algebra Distribute multiplication of two binomials by using foil method

We now discuss in Algebra section. The topic is Distribute multiplication of two binomials by using foil method.

The FOIL Method come from the words "first", "outer", "inner", "last".

Here FOIL stands for: (x + 4)(x + 5) Where, both 'x' are the first element, 4 and second x are the inner element, first x and 5 are the outer element and 4 and 5 are the last elements.

In a Foil Method, multiply the first terms in each of the parentheses, then multiply the two terms that are on the "outside", then the two terms that are on the "inside", and then the last terms in each of the parentheses.

Now i should multiply two binomials we using distributive law, and then combine like terms. When multiplying (a + b)(a + 5b), we should follow the steps

1. Apply Distributive Law :  a (a + 5b) and b(a + 5b).

2. Simplify the expressions to a2 + 10ab and ab + 5b2

For more topics :  Algebra Math Course Out line or Visit www.freematheducation.com

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### How To Get Good Grades In Math

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An equation in the form of ax2 + bx + c = 0 where 'a' is not equal to zero is called the quadratic equation and the number a, b, and c are called the coefficients of the equations. For example, 5x2 + 4x + 8 = 0, 7x2 = x - 7, (x -7)2  are all quadratic equations.

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### How to find the slope of a line from the given equation (form: y = mx + c)

http://freematheducation.com/algebra/slope-and-intercepts-of-a-line.html
How to determine the slope of a line from the given equation (Form: y = mx + c)

This articles explains the detailed concept of a line which shows how to determine the slope from the standard equation of a line which is in the form of y = mx + c.

The  basic formula to find the slope of a line is

Slope = change in vertical distance/change in horizontal distance = rise/run

Since, we know that the slope is a measure of the steepnes. Also the slope is a slant/inclination of a line. When you calculate the slope of a line, rearrange the equation of a line in a standard form i.e. y = mx + b where m is the slope of a line and n is its y-intercept.

How to do this?

First rearrange the equation of a given line into standard form, keep the y term in the left hand side and put the term with x to the right hand side of equation with the change in sign and note that the coefficient of y is a unit value i.e. 1.

For example, Find the slope of the graph 5x + 2y = 10. First keep the y term is left and the term with x in right side. Then the equation comes out 2y = -5x + 10. Now in the standard form of the equation y = mx + c, the coefficient of y is 1, so we divide the whole equation by 2 and we get y = -5/2 x + 5.

When compare, y = mx + c we have m = -5/2. Thus the slope of a line is -5/2.

If you need more help then visit www.freematheducation.com and post or mail the problem to us. Surely, we can reply the solution of posted question in detailed explanation.

## Friday, 24 June 2011

### Seriously Simple Sums! Master Multiplication & Division

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## Thursday, 23 June 2011

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### How To Get Good Grades In Math : www.freematheducation.com

This is the way I had to study math in order to make A's and B's in Algebra, Trig, and Calculus. I was never successful listening in class. I developed a study routine that made me ahead of my classes. This guide is for those who really struggle in math.

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### Math Without A Calculator! Learn How To Do Math In Your Head!

Discover how to do math in your head! Develop math confidence, overcome "math phobia", and easily pass math tests. Simple methods from veteran math teacher make math fun. For kids and adults. Get "a head for math" today!

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### My Mathematical Formula 2011

My Mathematical Formula - that helps you to solve your Math Problems

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### Amazing Mental Math Secrets - Ancient Vedic Math

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### The Math Board Games Book - Printable Math Games

Printable Math Board Games to make math practice fun. Math games for School or Homeschool education. A great math resource for Teachers and Parents. Perfect for students to use at school or at at home to practice basic math skills.

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## Wednesday, 22 June 2011

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