
Articles, unit studies, reviews, and resources to help you homeschool. 


Math Departmental Articles 


 A Budget for Every Income
by Jeff O’Leary
When you get right down to it, most of our children will never grow up to be nuclear scientists or mathematicians. However, the math concepts we teach them will prove invaluable in some very important ways. “If Johnny has $1 and spends 70 cents on candy how much does he have left?” This question not only teaches subtraction but the idea that money is finite—it is limited, and we must choose how we’ll spend what God gives us.
 Algebra Manipulatives
by Cindy O'Leary
It’s easy to find math manipulatives for students when they’re still learning arithmetic in elementary school. You can buy Cuisenaire Rods, or use many items found around the house such as coins or M and M’s. But what can you do when your child is studying algebra and struggling to solve quadratic equations?
 Algebra, Not Necessarily a Nightmare
by Kate O'Mara
If the thought of teaching algebra and higher math to your kids is causing you anxiety, you'll want to read Kate O'Mara's tale of how, even when her fears became reality and things went horribly wrong, there was still a way through the morass.
 Basketball Math
by Beverly S. Krueger
With the NBA playoffs just around the corner, your sports minded son or daughter may enjoy a little recreational mathematics. The following activities show how basketball intersects with statistics, algebra, and geometry.
 Battleship Math
by Cindy O'Leary
During the summertime kids have a tendency to forget much of the math they had learned during the year. To help combat this forgetfulness, without having to do math papers all summer, it is fun to play games that use math skills learned during the year. A great way to practice using ordered pairs, coordinate systems, and problemsolving skills is by playing Battleship. You don’t have to run out and buy the board game to play it. You can make your own.
 Bits and Pieces for Math and Science
by Beverly S. Krueger
Have you ever had one of those days when you are all set to dig into an exciting project and find that you’ve forgotten one small but essential element? Has your son happily informed you that it is impossible to do his math assignment because you have no graph paper? Well, I have! It's frustrating. This article is about those bits and pieces. How to keep from an abrupt termination of your plans by having on hand certain homeschool essentials.
 Bolster Math Skills with Technology
by Beth Waltman
Many homeschooling parents groan when it comes to teaching math. The endless worksheets, the drills and practices, the formulas and word problems seem like a daunting mountain to climb. If a child is an audio or kinesthetic learner, the challenge is even more difficult. However, for those with computer access, online tools and software options can fill the learning gaps.
 Calculating Tools through History
by Beverly S. Krueger
The modern calculator and desktop computer are the current calculating tools of choice. Mathematicians have developed a number of different means in past centuries to make repetitive calculations quicker and easier. Learning about these various calculating tools can increase our understanding of numbers and how we use them.
 Digital Logic
by EHO Staff
Interactive digital logic learning tool created by Geoffrey at RealApplets.com. With it you can create your own logic circuits and test them.
 Discovering Fractions
by Beth Waltman
When working with fractions, children at several levels of mathematical understanding can learn at once. Manipulatives are as close as the kitchen. Every child understands the beginning concepts of sharing a pizza or splitting a piece of cake. They may have figured out that in a family of 5 dividing a 10piece pizza, each person will eat two slices. They may not realize it, but they already have the ideas necessary to beginning work with fractions.
 Domino Power
by Beverly S. Krueger
A game of dominoes is a terrific way to work math practice into family fun. There are many varied ways of playing dominoes. Start out simple and work up to more complicated games.
 Enriching Math Resources
by EHO Staff
If you're like most homeschoolers, you're on the lookout for math resources that will make learning math concepts easier and more fun. These resources should provide you a few more options.
 Fear of Fractions
by Beverly S. Krueger
When you understand math, it can be hard to grasp just where someone struggling with a particular concept is having a problem. I once was asked for help with fractions from a homeschool mom who was desperately looking for something to help her daughter that she herself was able to understand. She wasn't getting fractions, so she couldn't help her daughter who also wasn't getting fractions.
 Free Educational Math Games
by EHO Staff
Seven free or nearly free math software games.
 Fun Ways for Practicing Math Facts
by Beverly S. Krueger
Learning their math facts is the bane of some homeschool students. If you could just find a fun way for them to practice that clicked with them. Perhaps one of these suggestions will work for you.
 Geometry Hide n Seek
by Beverly S. Krueger
Creating your own geometry hide n seek activity to supplement your geometry lessons is particularly fun for those kids that love hide n seek books.
 Helping Your Child Learn Math
by Patsy F. Kanter with Linda B. Darby
As our children go about their daily lives exploring and discovering things around them, they are exposed to the world of mathematics.
 Home Floor Plans
by Cindy O'Leary
Summertime in the O’Leary family is often moving time. Being part of a military family means living in many different houses. One of the biggest challenges, once we’ve selected our new home, is to figure out where all the furniture will go. I like to make a scale drawing of our new place as well as scale drawings of our furniture. Perhaps you’re not moving in the near future, but you’d like to rearrange some of your furniture to make the most of the space you have available in your house. This can be a great homeschool family project.
 Make Your Own Tangrams
by Cindy O'Leary
Many of us have had fun playing with tangram pieces, trying to figure out how to make certain tangram pictures. Make your own tangram pieces with just a pencil, straight edge, and a piece of graph paper.
 Making Math Review Fun
by Cindy O'Leary
Each time a new school year begins I’m always amazed at how much math my kids have forgotten over the summer. It seems there are always many facts and concepts that we need to review. Math games make reviewing more fun.
 Making Sense of Math with Fred
by Jean Hall
If making sense of math is important to you and your children, you'll want to explore the Life of Fred math series. Learn more from the author himself in this Eclectic Homeschool Online interview with Stanley Schmidt, Ph.D., author of the Life of Fred math series.
 Managing Big Numbers
by EHO Staff
The budget for the federal government is massive. It uses numbers in the millions, billions and trillions. Try to wrap your mind around spending 60.8 billion dollars, as the Department of Transportation did last year, and you'll get an idea of how hard it can be to imagine how much is a million, billion, or trillion
 Marvelous Math Manipulatives
by Cindy O'Leary
I have been looking through catalogues lately, trying to decide which math curriculum to use for my son who will be in third grade next year. I was amazed when I saw the price of manipulatives. One company offered a basic package that cost over $70!
 Mastering the Basic Facts
by Beth Waltman
When a child is beginning math, parents eagerly coach them to become fluent in adding and subtracting. Becoming proficient in these operations prepares them for more exciting and applicable math problems. Without really knowing the facts to the point of automaticity, the child plods along in problems while peers zip through them.
 Math Bingo
by Cindy O'Leary
Bingo is a game that most kids as well as adults enjoy. Math Bingo can be a fun way to review math concepts or study for a test.
 Math Cadences
by Beverly S. Krueger
If you have ever been around a group of marching soldiers, you will probably have heard what is called a marching cadence. A marching cadence is a call and response made in a sing song voice. The drill sergeant or other leader of the group calls out a line and the squad then repeats that line. Math cadences are similar, but incorporate skip counting.
 Math for the Reluctant Learner
by Beth Waltman
It can be challenging to make math appealing to all learners. There are some children who have mental blocks about their own ability to do math, or who may just not care for math. They might find it boring and say it doesn't relate to real life. The homeschool parent’s job is to stimulate curiosity, showing that math has answers for pertinent questions.
 Math in the Bible
by Cindy O'Leary
The Bible is full of numbers. In fact, there is an entire book by that name. You know the passages. They go something like this; When Kenan had lived 70 years, he became the father of Mahalalel. (Gen. 5:12) or In the 7th year of Jehu, Joash became king, and he reigned in Jerusalem 40 years. (2 Kings 12:1) There’s lots to learn from the numbers in the Bible.
 Math Skills: Making Change
by Beverly S. Krueger
Why did the homeschool mom run outside with her purse open? She was looking for a little change in the weather. In the age of the computer chip the skill of making change seems to have gone by the way side. When that computerized cash register fails, the need to know how to make change becomes quickly apparent.
 Math with Preschoolers
by Beverly S. Krueger
Finding patterns, being able to describe them, determine when they occur, determine when they never occur, this is the core of mathematics. Learning to see patterns is the heart of a preschoolers mathematical learning.
 Picture Books for Math
by Beverly S. Krueger
Good books are an excellent way to open mathematical discussions with children. There are quite a number of good picture books that correlate with mathematical topics.
 Platonic Solids – Cool Math and Pretty Ornaments
by Clay Hougland
There are only five platonic solids. You could play around with regular polygons for a while to come to that conclusion, but there is a mathematical means of figuring out that only five platonic solids exist. Learn about the platonic solids and download our platonic solids ornaments.
 Teaching our Children to Save and Invest
by Beverly S. Krueger
We've all heard the old adage by Benjamin Franklin, "A penny saved is a penny earned." If you don't blow that penny you have in your pocket today on something frivolous, you'll have it tomorrow to spend on something worthwhile. We need to teach our children the value of saving, but we also need to teach them not to stick their money in a piggy bank or underneath their mattress. A penny saved can become two pennies if it's invested where it will earn interest.
 The Different Faces of Mathematics Instruction
by Beverly S. Krueger
Just as instruction in reading is enmeshed in the struggle between proponents of whole language and phonics, there is a struggle in mathematics education. Attempts to redefine how we teach math and what we teach have been going on almost since the advent of public education. What do these “math wars” have to do with homeschooling?
 Timeline of the History of Mathematics
by Beverly S. Krueger
People and events important to the history of mathematics.
 Unraveling Word Problems Containing Variables
by Beth Waltman
One of the best tools for helping our children apply math principles is solving word problems. Word problems demand that children make decisions about equations to determine a quantitative answer. Often, the equation will contain at least one variable. Sometimes, students don't see the value of understanding variables until they attempt to solve a reallife problem. The first such problems we pose are often spoken aloud rather than written.
 Using Geoboards
by Beverly S. Krueger
Geoboards are great math manipulative to have on hand for long car rides, trips to the dentist or other times when young children need something to keep them occupied. Kids love to play with geoboards and a package of rubber bands. Don't limit that geoboard to your preschooler though. There are many ways to use geoboards to teach math concepts.
 Valentine Number Families
by Cindy O'Leary
Math is always more fun when it can be related to whatever festive season is near—in this case, Valentine's Day. Here is something that I have devised to help my son learn his number families.
 Visual Help in Multiplying Positive and Negative Integers
by Beth Waltman
As children begin to practice operations using both positive and negative numbers, they may need extra help in illustrating the concepts. Students need to see a visual aid to help them remember that multiplying is creating “sets.” I have found an approach that is easily recreated by using either crayons or construction paper.
 Where Am I?
by Beverly S. Krueger
Determining where you are on earth is very important to travelers, but is was especially difficult in past centuries for mariners in the middle of the ocean who had no landmarks to help them. For many centuries seafarers did not venture out of sight of the coasts. Today we can use GPS satellites to get a precise fix on our location. In the past, tools of navigation included the astrolabe or sextant to determine latitude. Determining longitude took many more centuries because an extremely accurate clock or chronometer was required.
 Who Wants to be a Millionaire?
by Cindy O'Leary
How many times have you caught yourself exaggerating using the word “million?” “I’ve told you a million times!” “I’ve got a million things to do today!” And how many more times to we hear that word coming out of the mouths of our children? “I’ve got a million pages to read!” “I wish I had a million dollars.” Just how much is a million anyway? Here are some things you can try to get your kids to “see” a million.
Out and About  Math Articles on the Web
 Accentuate the Negative
by Michael Naylor Added: 6/27/2006
Negative numbers extend our number line and greatly simplify our calculations, but sometimes students struggle with the concepts. These fun activities will help kids to make sense of the "other half" of our number system.
 Toothpick Puzzlers
by Michael Naylor Added: 6/27/2006
As the school year winds down, you'll want some fun activities, games and puzzles that kids view as play. Little do they know, your students will be practicing geometry, visualization and even number sense and algebraic reasoning.
 Solving Equations
by Shelley Walsh Added: 6/27/2006
In algebra to solve an equation means to find all the numbers that the variable can be replaced with that make the equation true. For example 2 is a solution to the equation x+3=5, because 2+3=5. For a simple equation like that one, we can find the solution by guessing, but as equations get more complicated we need to use fancier methods. One way we can do it is to use a graphing calculator.
 How to Add, Subtract, Multiply, and Divide Natural Numbers
by Shelley Walsh Added: 9/12/2004
This is a review mainly for adults with some historical background and explanations of how the algorithms work. A child might be able to learn from it too, though, with some help from a parent or a teacher.
 Making Math Come Alive with Manipulatives
by Dottie Oberholzer Added: 9/1/2004
In order for a student to be a problem solver, he must fully understand math concepts  not just memorize prescribed steps to get correct answers. Many students commonly view math as a collection of arbitrary rules to memorize, and hence they dislike the subject. We teachers must do all that we can to change that misconception. Manipulatives are the tools! Manipulatives are objects students use to actively learn a concept. For example, when a first grade student is presented with the number 42 for the first time, he may see a 4 but not understand that it represents four tens. By using Unifix cubes, he can model 42 by making four trains of ten and two ones and begin to visualize what 42 really means.
More Out and About Articles
Our Latest Educational Links  Math
 Mathematical Tutorials
I love teaching students mathematics. I believe that not only can math be learned by anyone willing to dedicate the time to it, but I believe you can enjoy the process of learning too. I am the tutor for Mathematical Tutorials, a new tutorial service currently offering year long classes for those ready to enroll in PreAlgebra, Algebra I, Geometry or Algebra II. My goal is to provide homeschool parents an alternate strategy for educating their children in mathematics so that they will be prepared to enroll in college level mathematics. The last thirteen years I have been for the last thirteen years a parttime instructor at Wenatchee Valley College (WVC) located in Wenatchee, WA. During my time at WVC I taught developmental and college level mathematics. In the Spring of 2012, I also taught Cornerstone classes (courses taught at the high school but earning college credit) for Central Washington University at Cashmere High School. Additionally I taught middle and high school mathematics for four years in Indiana, prior to moving to Washington State. I have been teaching or tutoring math in some form since I was in high school!
Recently, I have felt the Lord leading me to leave the community college setting to teach online. It is something He has put in my heart for several years and now it is finally coming to pass. If you are looking for a math class that I am offering, I hope you will consider using my services.
 Math Worksheets Land
Features thousands of free printable math worksheets and lessons for ages 4 to 19.
 Math Games and Activities At Home with the Crazy Math Mom
Games and Activities that teach essential, National Math Standards. These motivation games and activities developmentally build upon one another so your child will build new skills on skills they already know. You can teach your child addition, subtraction, multiplication, and division by weaving fun games and activities throughout your day. In the car, at the doctor's office, at a soccer game...and so on.





Unit Study Articles

Unit Studies  Math
 Geometry Unit Study
by Beverly S. Krueger
Math topics are not often considered fodder for unit studies. Most people have a figure or number oriented view of mathematics. They think in terms of number sentences, problems and formulas. From that point of view it can be difficult to see all the possibilities for language, history and science study that can be found in a mathematical topic. Naturally visual, geometry works well as a first mathematical unit study.
 History of Math Unit Study
by Beverly S. Krueger
Although we may think of them as nerds fiddling with their calculators or talking in incomprehensible terms, mathematicians throughout history have made important contributions to the progress mankind has made. Without mathematicians we would not be able to build tall buildings, visit the moon, or email one another on our computers. History buffs and the mathematically inclined will both enjoy the broad scope of the history of mathematics. Ideally this study should be used with upper level students who have at least a beginning understanding of algebra. How Math Works by Carol Vorderman makes many of the topics accessible to younger students.



