Mathematical experiences for very young children should build largely upon their play and the natural relationships between learning and life in their daily activities, interests, and questions.

Young preschool children are active learners, naturally curious and ready to engage in mathematical learning. They approach math with excitement and curiosity, if the practices are age-appropriate, engaging, and involve hands-on, minds-on learning approaches.

Children’s ability to understand mathematics takes a big leap forward in the preschool years. Their strengthening ability to represent using manipulatives, symbols, and signs opens up many new possibilities. Children also make strides in algebra and patterning. They can sequence events in time by age three. By age four, they can re-create patterns or make their own repeating pattern. During the preschool years, the child’s ability to problem solve takes on a new zeal. Children’s ability to classify objects is more developed; they can sort and organize objects into different categories and tell which pile has more. This chart details the skills that children can exhibit at different ages.

These are ideas and strategies to incorporate math learning into everyday life.

As adults, we can tend to over-think how to go about teaching math to young children but promoting mathematical thinking and basic math concepts can come through all kinds of simple hands-on activities. Here are some of great math activities to integrate into your homeschool.

Patterns are all around us, from the clothing we wear to the repeating patterns found in nature and everyday routine. Patterning is also a basic math skill upon which many mathematical concepts are based. Times tables, addition and skip counting all require an understanding of and proficiency in patterning. In preschool, identifying and creating patterns is just the beginning of the mastery of life-long mathematical skills.

Preschool-age children are ready to explore more than one might think! Parents often focus on counting from one to ten, but there are many other skills that children are ready and able to investigate.

Young children are unique creatures who love nothing more than to experience everything from tactile, hands-on items to feeling the wind in their faces as they jump off a wall. They are all about hiding under blankets to see what happens if they walk through the house like a ghost or playing safari and taking pictures with their imaginary camera.

Parents are bombarded with messages to read with their children, but it’s rare to hear about the importance of doing math with them. Here are some helpful tips on why and how to instill a love of math in your children.

As a teacher, you can foster the development of early mathematical skills by providing environments rich in language, where thinking is encouraged, uniqueness is valued, and exploration is supported. Teachers support young children's diligence and mathematical development when they direct attention to the math children use in their play, challenge them to solve problems and encourage their persistence.

Learning shapes and colors may well be a young child’s first educational endeavor. Although recognizing objects as red or blue, round or square might seem like child’s play, it’s actually integral to a young child’s cognitive development, and sets the stage for math concepts from sorting and patterning to geometry, and beyond! What can you as a parent do to help your young learner master these academic milestones? You may not have to look beyond the backdrop of your life for the perfect learning tools. Try a few of these fun activities to help your child master colors and shapes.

As the parent of a preschooler, you probably enjoy experiencing the world through your child’s eyes (and hands and feet!) as he or she explores and learns with great enthusiasm. And as your child’s first teacher, you can start teaching the basics of reading, writing, and math. Giving preschoolers a solid foundation in early math literacy is critical to their future academic success, not to mention how important it is to their day-to-day functioning.

Preschool and Kindergarten – what fun ages! Play is learning and learning is play. Perhaps you’re looking for some ideas for your formal Tot School or perhaps you just want to make sure that your little ones will be ready for first grade when it comes along.

Summer reading clubs and story times can help with early literacy and reading, but it might seem daunting to figure out how to prepare a young child for math. Here’s the great news: you’re the right person for the job.

Every child is unique and hence the best way for them to learn math in preschool depends on their innate aptitude and the level of interest that they demonstrate in this subject. What math teachers must do is nourish, develop and refine this aptitude and interest by creating an atmosphere that encourages learning and using activities that are effective and engaging. Parents should also try to use the methods used by preschool teachers so the child can continue to learn at home.

Learning about numbers is a preschooler’s first step toward becoming a budding young mathematician. And in preschool, math learning is all about counting, number recognition, and one-to-one correspondence. If a child doesn’t ace these seemingly simple skills in a timely manner, don’t fret: even math whizzes need time to blossom. But with age appropriate techniques, helping your child to master these math milestones will be as easy as 1, 2, 3!

Preschoolers do math even though they are not sitting at desks with workbooks or memorizing multiplication tables. Preschool math helps them make sense of the world around them and teaches them to reason and problem-solve. Teachers of preschool math build on children's prior knowledge and capitalize on their spontaneous discoveries to further their understanding of mathematical concepts.

This youtube video demonstrates some great strategies to help preschoolers learn counting by tens and odd and even numbers.

This list is a great start to incorporating fun activities and games into your homeschool math curriculum.

HomeschoolMath.net is a comprehensive math resource site for homeschooling parents and teachers: find free worksheets, math ebooks for elementary grades, an extensive link list of games, a homeschool math curriculum guide, interactive tutorials & quizzes, and teaching tips articles. The resources emphasize understanding of concepts instead of just mechanical memorization of rules.

This list is a great start to incorporating fun activities and games into your homeschool math curriculum.

This Montessori Teen Board is an easy and inexpensive way to effectively teach the teens (the numbers 10-19)

Here are some helpful activities to learn number recognition, counting and writing for your preschooler.

How to make a homemade version of the Montessori seguin board, a board with lots of 10s in a column.

Great and creative ideas for reinforcing counting and numbers.

These number recognition games are simple, don't require any fancy materials, and preschoolers love to play them.

This 49 page pdf file contains scores of activities to teach math concepts to preschoolers.

These cute math songs help young children learn about addition, money, time, and skip counting.

Wonderful collection of math games and activities that you can create at home.

The fun and colorful tubes are a great way to practice 1:1 correspondence, counting, and numbers.

These fun math activities use simple toy cars to teach ordinal numbers, sorting, counting, number recognition, subitizing, patterns, colors, and addition.

These manipulatives are easy to make at home. They provide early learning supplies for anyone on a budget.

This activity helps children to model basic numbers and use counting and grouping strategies to demonstrate and verbalise relationships between basic numbers--in this case, the numbers 1-3. Using the well loved and well known tale of Goldilocks and the 3 Bears will help engage your child and also give them a greater understanding, meaning and depth.

Practice patterning with this spring-themed set of pattern boards. children will be able to determine the next picture in the pattern and will be able to continue the pattern on each of the boards.

These simple early learning math activities teach skills like number recognition, counting, simple addition and subtraction, sorting, sequencing numbers, and measuring.

Enjoy these activities that introduce number concepts and active learning through play.

Counting and learning about patterns is fun with Duplo blocks. These easy activities can be put together in no time at home.

A list of games that make learning math concepts fun and easy.

Practicing math skills like spatial awareness and geometry can be fun, especially when the math activity involves Legos! Here’s a free printable math challenge for kids using Lego or Duplo bricks!

Learn 10s with these free printable cards that offer a fun way to practice. Read about different ways to use the cards for enjoyable math games to teach this concept.

Teach confidently with Sonlight's handpicked math resources — the programs are the best on the market for elementary math to Calculus. Every math curriculum has potential strengths and weaknesses, so you'll find included information to help you find the best fit for your students. They offer several math programs for the elementary grades. Young children benefit from an enriched environment in which they see math being used in different ways and in which they approach problems from different directions.

Mad Dog Math is a fun, exciting, motivating, and challenging supplement to any math curriculum. They've taken the basic facts and broken them down into bite-sized pieces that any child can master. A child progresses through a series of timed drills at his own pace.

These workbooks help teach pre-K concepts such as time, counting, and more.

This set of books is unlike any other textbooks. Each text is written in the style of a novel with a humorous story line. Each section tells part of the life of Fred Gauss and how, in the course of his life, he encounters the need for the math and then learns the methods. Tons of solved examples. Each hardcover textbook contains ALL of the material – more than most instructors cover in traditional classroom settings. Includes tons of proofs. Written by Dr. Stanley Schmidt with the intent to make math come alive with lots of humour, clear explanations, and silly illustrations that stick in the mind. The student will learn to think mathematically. Completion of this series prepares student for third year college math.

The Time4Learning preschool program combines technology, animated characters, original stories and fun music to inspire a love of learning in the littlest e-learners. Ed Mouse and his friends guide children through more than forty topics such as numbers, letters, rhymes, self, time, music and colors.

Give your students the keys to math-skill mastery! These self-paced, self-guided workbooks—covering topics from fractions and decimals to algebra and geometry—motivate students and build their confidence with bite-size, easy-to-follow lessons. With Key to…® workbooks, you can customize curriculum for individual learners. Included in the series are: Fractions, Decimals, Percents, Measurement, Metric Measurement, Algebra, and Geometry.

Math on the Level is a flexible, maturation-based, homeschool math curriculum with a very effective review system. It's unique approach is designed to turn your home environment into a rich, real-life learning experience and make math education meaningful and fun for your whole family.

• Teach when it is easy for your child to learn
• Use everyday activities to make math real
• Review for long term retention without busywork

One curriculum purchase covers your math needs for the whole family from pre-K through pre-algebra.

Making Math Meaningful is a wonderful beginning. It lays the strong foundation for understanding math. Every concept is introduced with a simple conversation (which is provided for you) using math manipulatives. You are spending quality time with your children talking about each math concept. The conversations are simple. The activities are easy to do. The lesson plans tell you exactly what you are to do and what you are to say. Perfect for the busy mom. There are no seminars to attend and no videos to watch! Simply pull the book from the shelf and start teaching. Each child has his own student workbook. Levels K through 4 give you a written script to teach each concept and skill. Levels 5 and 6 and Algebra are written directly to your child. Your child will simply pull the book from the shelf and teach himself. There is no easier math manipulative program for mom.

IXL provides comprehensive math practice for K-12.

ShillerMath publishes research-based math curriculum, music, manipulatives, flashcards, and workbooks for students of ages 4-13 (including pre-K and pre-Algebra), with beautifully designed lessons, diagnostic tests with answer keys, math songs, and Montessori-based manipulatives. No Montessori or math knowledge is required and there's zero lesson preparation - just read (or have your child read) what's in quotes and you're good to go! Students using this approach consistently outperform their peers. The ShillerMath curriculum includes authoritative materials and lessons used by thousands of Montessori schools worldwide and is the math curriculum of choice for thousands of homes and classrooms nationwide.

For nearly 40 years, TouchMath has provided educators with the most successful multisensory remedial math programs on the market. The signature trademarked TouchPoints, helpful visual cues, and distinctive one-step-at-a-time presentation moves from concrete to pictorial to abstract concepts — making an often daunting and difficult subject easily understandable for students of all abilities and learning styles. Working through basic math problems, students "see it, say it, hear it, touch it, and learn it" in ways that are completely unique and more effective than other math programs.

Preschool math worksheets help your young learner develop essential early math skills. From number recognition to counting to addition, preschoolers learn a lot about numbers in one year. Our collection of preschool math worksheets is designed for kids who want to build skills that will prepare them for kindergarten and beyond. These preschool math worksheets help present new number topics to kids in a way that's fun and easy to understand. Help foster a culture of learning by doing these preschool math worksheets with your child.

These printables are free and help provide extra support for teaching preschool math. You'll find calendars, number tracing cards, number mats, patterns, and more.

HomeschoolMath.net is a comprehensive math resource site for homeschooling parents and teachers: find free worksheets, math ebooks for elementary grades, an extensive link list of games, a homeschool math curriculum guide, interactive tutorials & quizzes, and teaching tips articles. The resources emphasize understanding of concepts instead of just mechanical memorization of rules.

Practicing math skills like spatial awareness and geometry can be fun, especially when the math activity involves Legos! Here’s a free printable math challenge for kids using Lego or Duplo bricks!

Learn 10s with these free printable cards that offer a fun way to practice. Read about different ways to use the cards for enjoyable math games to teach this concept.

Fun and free printables that are great for preschoolers. These activities make learning fun!