7 Tips for Teaching Math to Kids of All Ages

🧮 This episode is proudly sponsored by CTCMath — an online math program designed to help homeschool families build confidence and mastery, one lesson at a time.

Try CTCMath →

 

Are you ready for math the easy way? Enjoy my special guest Pat Murray – he’s been a math teacher and coach for more than thirty-six years.VINTAGE HOMESCHOOL MOMS  •  EPISODE 435

Math the Easy Way: 7 Tips for Teaching Math to Kids of All Ages

with guest Pat Murray of CTC Math  |  Hosted by Felice Gurwitz

About This Episode

Does your child love math or dread it? In this episode, Felice Gurwitz sits down with Pat Murray — a math teacher and coach of more than 36 years and the founder of CTC Math — to share seven practical, doable tips for teaching math to children of every age. From short, clear explanations and the power of rote learning to smart lesson sequencing and avoiding frustration, Pat unpacks what actually works after decades in the classroom and at home. He also serves up a couple of memory “magic tricks” (including a clever way to keep circle formulas straight) that make math genuinely fun.

Whether you have a struggling learner or a strong one who just needs reinforcement, these are ideas you can put to work right away.

About the Guest — Pat Murray

Pat Murray has been a math teacher and coach for more than 36 years. The programs and courses he and his company have developed have helped students and families in the tens and hundreds of thousands across more than 72 countries. Pat is the founder of CTC Math, which offers self-paced online video tutorials that take a multi-sensory approach to learning math. Pat and his wife, Mari, live in Sydney, Australia, and have 10 children and seven grandchildren (soon to be eight).

7 Tips for Teaching Math (Key Takeaways)

  1. Short, concise explanations. Clarity is everything — math should be easy to understand. Keep explanations to about 2–3 minutes for younger children and 5–7 minutes as they get older. Not all teaching methods are equal; find the one that makes the light switch on.
  2. Immediate practice and feedback. Have kids practice right after they learn something, and make sure they know quickly whether the first few answers are right or wrong — so they don’t spend 20 minutes reinforcing a mistake.
  3. Rote learning is your friend. Memorizing times tables, basic facts, and formulas frees up brainpower for algebra and problem solving later. Don’t buy the idea that it stifles creativity. Use stories to lock in formulas (see the “pie and rabbits” trick below).
  4. Mind the sequence of lessons. Textbooks often introduce the hardest material first. Scan a chapter, push the difficult topics to the back, and start with the easy wins so kids build confidence — success is what keeps them going.
  5. Go easy on discovery / inquiry-based learning. Left to figure math out on their own, kids lose interest fast (think of a Rubik’s Cube with no instructions). Teach by example and lots of worked examples first; save open-ended exploration for after they’ve mastered the basics.
  6. Use puzzles and problem solving. Sudoku, quizzles, and similar puzzles build interest and make math fun. Start simple for early success, add a reward system, and favor pen-and-paper — the connection between hand and brain matters for real thinking.
  7. Avoid frustration. Possibly the most important tip. Kids aren’t struggling on purpose. Getting angry can make them hesitant to come to you later — not just about math, but about anything. Stay calm and keep the door open.

Don’t Miss

  • The “pie and rabbits” memory trick for keeping circle formulas straight — two rabbits (2r) running around a pie for circumference (C = 2πr), and one rabbit squashed flat into a square for area (A = πr²).
  • Pat’s algebra “magic trick” that always lands on 3: pick a number 1–10, double it, add 10, add your original number, subtract 1, divide by 3, then subtract your original number. Pat plans to post a short video explaining the algebra behind it.

Resources & Links

  • CTC Math — online video math tutorials, self-paced, one price covers everything a family needs. Start a free trial: ctcmath.com
  • CTC Math offers a full 12-month money-back guarantee — 17 years running — so there’s no risk in trying it.
  • Favorably reviewed in Cathy Duffy’s 102 Top Picks and the old Schoolhouse Crew Review.
  • Host website: VintageHomeschoolMoms.com  (find this episode and show notes — Episode 435)
  • Felice Gurwitz / Media Angels: MediaAngels.com
  • Vintage Homeschool Moms is a production of the Ultimate Homeschool Radio Network.

 


Visit our sponsor:

Are you looking for a new Math Curriculum?

CTCMath specializes in providing online video tutorials that take a multi-sensory approach to learning. Favorably reviewed in Cathy Duffy’s 102 Top Picks and The Old Schoolhouse Crew Review, the lessons are short and concise to help your children break down concepts and appreciate math in a whole new way!

The lessons are taught the traditional way, not to a “test”.

Each one of the video tutorials is taught by an internationally acclaimed teacher, Pat Murray, who is renowned for teaching math concepts in a simple, easy-to-understand way (and in only a few minutes at a time). Using a multi-sensory approach having the combination of effective graphics and animation synchronized with the voice of a friendly teacher together with practical assessment. This three-pronged attack makes learning so much easier and more effective. Even students who struggled with math are getting fantastic results! And ones who were doing OK before are now doing brilliantly.

Visit ctcmath.com today to start your free trial.

Teaching Math the Easy Way (Special Replay)

🧮 This episode is proudly sponsored by CTCMath — an online math program designed to help homeschool families build confidence and mastery, one lesson at a time.

Try CTCMath →

Are you ready for math the easy way? Enjoy my special guest Pat Murray – he’s been a math teacher and coach for more than thirty-six years.Math The Easy Way – Episode 435

Special Replay

Are you ready for math the easy way? Enjoy my special guest Pat Murray – he’s been a math teacher and coach for more than thirty-six years.

And would you believe that Over that time, the programs and courses Pat and his company developed have helped students and families numbering in the tens and hundreds of thousands in more than seventy-two countries. So no matter where you live this information is accessible!

Pat and his beautiful wife Maree live in Sydney Australia, have 10 children, and 7 grandchildren – soon to be 8 (next month).

So, we are going to delve into seven of the most valuable tips for teaching math to kids –of all ages. I was amazed that your math programs have one low cost for a year, per family and it covers grades 1 through high school which is amazing and only a man with a big family understands what a blessing that is to parents with many children….

  1. Short concise explanations – clarity is important.
  2. Immediate practice – get them to practice it quickly and feedback.
  3. Rote learning memorizing, times tables, important facts. [Great examples given on the audio!]
  4. The sequence can make a difference. Start with the easiest stuff first, encourage success.
  5. Discovery and inquiring learning that is taught first by example.
  6. Puzzles and problem solving – a fun activity. Build interest.
  7. Parents – avoid frustration. Kids will avoid help, due.

Pat shares a mathematical trick – kids can learn as a parent to impress their kids.

 


Visit our sponsor:

Are you looking for a new Math Curriculum?

CTCMath specializes in providing online video tutorials that take a multi-sensory approach to learning. Favorably reviewed in Cathy Duffy’s 102 Top Picks and The Old Schoolhouse Crew Review, the lessons are short and concise to help your children break down concepts and appreciate math in a whole new way!

The lessons are taught the traditional way, not to a “test”.

Each one of the video tutorials is taught by an internationally acclaimed teacher, Pat Murray, who is renowned for teaching math concepts in a simple, easy-to-understand way (and in only a few minutes at a time). Using a multi-sensory approach having the combination of effective graphics and animation synchronized with the voice of a friendly teacher together with practical assessment. This three-pronged attack makes learning so much easier and more effective. Even students who struggled with math are getting fantastic results! And ones who were doing OK before are now doing brilliantly.

Visit ctcmath.com today to start your free trial.

Find a Math Curriculum That Works

Finding a math curriculum that works for your family can be a challenge! With CTCMath, all of your kids from K-12 can learn at their own pace with one family subscription.

That’s right! With a CTCMath membership, you have access to all grades and lessons, which means your children can work at whatever level is best for them.

Whether your kid needs to catch up, keep up, or move ahead, with CTCMath, they can finally understand math and work at their own pace.

CTCMath is offering Media Angels readers a half-price discount plus a bonus 6 months when you register for a 12-month membership. That means you can access a complete online homeschool math curriculum for all your kids for 18 months! Just use this link by October 16 to access this deal!

Nervous making significant online purchases? CTCMath comes with a 12-month money-back guarantee. No questions asked! Just email CTCMath, if you change your mind.

How does CTCMath work?

A student starts by watching a short, to-the-point video lesson that presents the concepts of the math lesson step by step. Because it’s a video tutorial, they can stop and rewind the teacher as many times as they need to until they get it (and the teacher never gets annoyed or frustrated).

Following each math tutorial, there are interactive questions or an optional printable worksheet that tests the understanding of key concepts. Answers are entered into the CTCMath automated marking system, which then stores the results in each individual student’s ongoing progress report.

Not sure WHY their answer is wrong? After answers have been submitted, printable, fully-worked solutions become available. These show every step which should be taken to reach the correct answer, ensuring your child really understands the math concepts.

CTCMath’s multi-sensory approach to ensure retention plus detailed progress reports for the parents adds up to a whole lot less stress when it’s math time for both parents and kids!

Here’s what Teresa has to say:

“Straight into college math after a great SAT score.”

We love CTCMath, We have tried almost everything with our 5 kids, and we no longer have tears when it comes to math.

Our oldest graduated last year, and even though he only used CTC for less than two years, his math improved so much that he did great on his SAT test and went right into regular college math and is doing great.

God Bless from a little less stressed mom.

Teresa Schilling
East Troy, WI

310-281-2217

www.ctcmath.com       info@ctcmath.com

Teaching Math the Easy Way (Special Replay)

Are you ready for math the easy way? Enjoy my special guest Pat Murray – he’s been a math teacher and coach for more than thirty-six years.Math The Easy Way – Episode 435

Special Replay

Are you ready for math the easy way? Enjoy my special guest Pat Murray – he’s been a math teacher and coach for more than thirty-six years.

And would you believe that Over that time, the programs and courses Pat and his company developed have helped students and families numbering in the tens and hundreds of thousands in more than seventy-two countries. So no matter where you live this information is accessible!

Pat and his beautiful wife Maree live in Sydney Australia, have 10 children, and 7 grandchildren – soon to be 8 (next month).

So, we are going to delve into seven of the most valuable tips for teaching math to kids –of all ages. I was amazed that your math programs have one low cost for a year, per family and it covers grades 1 through high school which is amazing and only a man with a big family understands what a blessing that is to parents with many children….

  1. Short concise explanations – clarity is important.
  2. Immediate practice – get them to practice it quickly and feedback.
  3. Rote learning memorizing, times tables, important facts. [Great examples given on the audio!]
  4. The sequence can make a difference. Start with the easiest stuff first, encourage success.
  5. Discovery and inquiring learning that is taught first by example.
  6. Puzzles and problem solving – a fun activity. Build interest.
  7. Parents – avoid frustration. Kids will avoid help, due.

Pat shares a mathematical trick – kids can learn as a parent to impress their kids.

 


Visit our sponsor:

Are you looking for a new Math Curriculum?

CTCMath specializes in providing online video tutorials that take a multi-sensory approach to learning. Favorably reviewed in Cathy Duffy’s 102 Top Picks and The Old Schoolhouse Crew Review, the lessons are short and concise to help your children break down concepts and appreciate math in a whole new way!

The lessons are taught the traditional way, not to a “test”.

Each one of the video tutorials is taught by an internationally acclaimed teacher, Pat Murray, who is renowned for teaching math concepts in a simple, easy-to-understand way (and in only a few minutes at a time). Using a multi-sensory approach having the combination of effective graphics and animation synchronized with the voice of a friendly teacher together with practical assessment. This three-pronged attack makes learning so much easier and more effective. Even students who struggled with math are getting fantastic results! And ones who were doing OK before are now doing brilliantly.

Visit ctcmath.com today to start your free trial.

Cornerstone of Math: Replay

Cornerstone of Math with the Brain Coach, Dr. Jan BedellIs your child struggling with math? Do you have a gifted child that needs to secure a good math foundation that will let them soar? Is your 5, 9 or 15 year old having trouble remembering their math facts? If the answer is yes to any of these questions, this is the podcast for you!

Thank you to our sponsor, CTC Math.

Dr. Jan will lead you through the foundation and cornerstone of math.

Foundation:
1. Rote counting – Counting CD
2. Understanding quantity – first count accurately, then be able to look at fingers, pictures on a page, and dice and be able to recognize the quantity
3. Counting from any random number to a specific number
4. Skip Counting
5. Concept of math operations:
a. What is addition, subtraction, multiplication or division?
b. Progression through the different aspects of each operation, i.e. multi-digit addition all the way through 2 and 3 digit division. This progression is made available through Visual Circle Math
(downloadable & printed copy), a way to advance quickly through understanding of concepts if a child is advanced in math. Great also for remediation if a child is struggling with math as
they can go at their own pace. Also available in: Visual Circle Math (download only)

6. Word problems – holding pieces together long enough to figure out what is important information requires good auditory processing.

 

Get your free Auditory Processing Test Kit at LittleGiantSteps.com
Cornerstone:
Math Facts – Rapid Recall System be sure to choose the operation you want (addition, subtraction, etc. or get all four operations at a major discount).
See handout for special Ultimate Home School Radio discounts on all products mentioned on today’s podcast.


Special Thanks to our Network Sponsor!


Why Math Should Be Fun

Why Math Should be Fun

321: Why Math Should Be Fun

In this episode, host Meryl van der Merwe is joined by Mina Neuberg from Wonder Math, to explore why making math fun is essential.

Topics Covered:

  • The connection between math and technology careers

  • Why so many students and parents struggle with math anxiety

  • How a growth mindset can transform math learning

  • What makes Wonder Math unique: live instruction, gamification, story-based learning, and continuity

  • The importance of contextual, real-world math applications

  • Simple, practical ways to bring joy and play into your homeschool math lessons

  • Ideas for helping kids who already believe they are “bad at math”

Key Takeaways:

  • Parental attitude matters: When parents say they hate math, kids absorb that belief.

  • Math is more than memorization: Wonder Math helps students embrace mistakes and view math as a problem-solving journey.

  • Gamification works: Earning rewards can help shift a child’s mindset from dread to excitement.

  • Start small: Use cooking, tipping, budgeting, or sports stats to teach math concepts in fun ways.

  • Context matters: Math taught through stories or student interests is easier to retain.

Free Offer:

Try Wonder Math free for a month using the code MERYL at wondermath.com.

Resources Mentioned:

  • Khan Academy

  • YouTube videos on “fun math” topics customized to your child’s interests

  • Wonder Math Blog – especially the Homeschool and Math Fun categories

Connect with Wonder Math:

Take a look at show sponsor, FundaFunda Academy to see what they offer for online classes and web-based unit studies. Sign up for their newsletter to get monthly AI tips and learn about cool online resources. Follow their Instagram for weekly Tuesday Tech Tips.

Join our Facebook Group, especially for the listeners of this podcast! You can ask questions and get advice while integrating technology into your homeschool.

If you enjoyed this episode, please subscribe to the show and give a rating and maybe even a review! Subscribing will help you make sure you never miss an episode.

 

Why Math Should be Fun


I Love Homeschooling But I Hate Teaching Math – HIRL Episode 31

hate mathHate math? And I hate teaching science. And writing. Or . . .

Let’s get real homeschoolers. Most of us have at least one subject we don’t enjoy teaching. What? That is difficult to justify when we are the ones in charge of teaching all the subjects.

So what is a homeschooling parent supposed to do when there are core subjects that must be covered, but there is no motivation by mom or dad to get that subject done every week, or they feel unqualified to teach it?

In this episode of HomeschoolingIRL, Fletch and Kendra discuss the reality of teaching multiple subjects to multiple grade levels and resources for getting some help. Join them as they encourage their listeners to think a little bit outside of the proverbial box.

Episode Timeline for I Love Homeschooling But I Hate Teaching Math

Thanks to our sponsor CTCMath, a wonderful Math curriculum for the entire family of school-aged children. This one-stop shop has grades K-12; check it out. Homeschoolers can save 50%!


5:28 Studio Discussion Part 1 (Sponsored by Compass Classroom) – Sharing our strengths and weaknesses
14:00 Studio Discussion Part 2 (Sponsored by Grapevine Studies) – Staying a step ahead
20:47 Studio Discussion Part 3 – Practical suggestions from Fletch and Kendra
30:14 Listener questions – Fletch’s tie-dye wardrobe and parenting with grace.
35:18 Advent Resources/Interview with Amanda White from Truth in the Tinsel


 

Join Fletch (from theMangoTimes) and Kendra (from Preschoolers and Peace) for the HomeschoolingIRL podcast every two weeks as they interview guests and talk through some of the goofiness they have experienced in nearly two decades of Homeschooling In Real Life.

 

Enjoy this podcast? Try these:

6 Reasons Your Child Hates to Write

I Hate Homeschooling Let Me Tell You Why

Mastering Multiplication Tables: Tips & Shortcuts for Memorizing the Times Table

 Tips & Shortcuts for Memorizing the Times Table

Multiplication tables—some kids love them, others… not so much. But what if mastering them was easier than you thought? With the right strategies, learning times tables can be simple, engaging, and even fun. Get ready to discover some genius tricks that make multiplication a breeze!

Why Memorizing Multiplication Tables is a Game-Changer

Knowing your multiplication tables isn’t just about passing math class—it’s about setting yourself up for life. Whether you’re calculating grocery prices, splitting a check, or eventually tackling algebra, multiplication is everywhere. The quicker you recall these facts, the faster and more confident you’ll be in math.

The Brain Science Behind Memorization

Your brain loves patterns. When you tap into this natural tendency, memorization becomes way easier. Repetition, visual cues, and even movement can all boost retention. Instead of rote learning, use tricks that play to the brain’s strengths!

The Power of Patterns: Spotting the Hidden Tricks

  • The Rule of 5s: Every product of 5 ends in 0 or 5. Super easy to remember.
  • The Rule of 9s: Use your fingers! Hold up all ten fingers, fold down the number you’re multiplying by 9, and the fingers left show the answer. (Example: 9 × 3? Fold the third finger—2 fingers left on one side, 7 on the other = 27.)
  • The Magic of Doubles: If you know 2s, you can find 4s (just double it). If you know 4s, you can find 8s (double it again!).

Chunking: Break It Down, Build It Up

Don’t start with 7s and 8s (the hardest ones). Instead:

  • Step 1: Learn the easy ones first (1s, 2s, 5s, 10s). These follow simple rules.
  • Step 2: Move on to 3s, 4s, and 6s using doubling tricks.
  • Step 3: Conquer 7s, 8s, and 9s last (they’ll be easier after mastering the rest!).

Sing It, Say It, Play It: Engaging Methods

  • Songs & Chants: Catchy tunes make facts stick. There are tons of multiplication songs out there—find one your child likes!
  • Flashcards the Right Way: Instead of quizzing with pressure, turn it into a game.
  • Apps & Online Tools: There are amazing resources like CTCMath’s Multiplication Arrays lesson that visually break down multiplication for better understanding.

The Multiplication Table Grid: Your Secret Weapon

A multiplication chart isn’t just a reference—it’s a puzzle waiting to be cracked. Encourage kids to look for patterns and fill in missing numbers to reinforce learning.

The Speed Game: Turning Practice into a Challenge

  • Multiplication War: A card game where players flip two cards and multiply them—the highest product wins.
  • Mad Minute: See how many problems can be solved in one minute. The goal? Beat your own score!

Why Word Problems Are Your Best Friend

Numbers can feel abstract, but word problems make multiplication relatable. “If each person at a party eats 3 slices of pizza, how many slices for 8 people?” Suddenly, multiplication has meaning.

Parental Hacks: How to Reinforce Learning at Home

  • Count by multiples during car rides.
  • Use snacks (groups of grapes or crackers) to show multiplication in action.
  • Make a multiplication scavenger hunt—kids find objects and multiply them!

Avoiding the Biggest Multiplication Memorization Mistakes

  • Rote Learning Without Understanding: Memorizing facts with no context leads to frustration.
  • Rushing Too Fast: If a child struggles with 7 × 8, they might need more practice with smaller facts first.

The Road to Multiplication Mastery

Multiplication success isn’t about being a genius—it’s about using the right tricks, playing to the brain’s strengths, and making learning fun. Stick with it, celebrate progress, and watch the math confidence soar!

Keep Learning with CTCMath!

If you found these tricks helpful, check out more engaging lessons from CTCMath. Their step-by-step approach makes tricky math concepts much easier to grasp!

I Love Homeschooling But I Hate Teaching Math – HIRL Episode 31

hate mathHate math? And I hate teaching science. And writing. Or . . .

Let’s get real homeschoolers. Most of us have at least one subject we don’t enjoy teaching. What? That is difficult to justify when we are the ones in charge of teaching all the subjects.

So what is a homeschooling parent supposed to do when there are core subjects that must be covered, but there is no motivation by mom or dad to get that subject done every week, or they feel unqualified to teach it?

In this episode of HomeschoolingIRL, Fletch and Kendra discuss the reality of teaching multiple subjects to multiple grade levels and resources for getting some help. Join them as they encourage their listeners to think a little bit outside of the proverbial box.

Episode Timeline for I Love Homeschooling But I Hate Teaching Math

Thanks to our sponsor CTCMath, a wonderful Math curriculum for the entire family of school-aged children. This one-stop shop has grades K-12; check it out. Homeschoolers can save 50%!


5:28 Studio Discussion Part 1 (Sponsored by Compass Classroom) – Sharing our strengths and weaknesses
14:00 Studio Discussion Part 2 (Sponsored by Grapevine Studies) – Staying a step ahead
20:47 Studio Discussion Part 3 – Practical suggestions from Fletch and Kendra
30:14 Listener questions – Fletch’s tie-dye wardrobe and parenting with grace.
35:18 Advent Resources/Interview with Amanda White from Truth in the Tinsel


 

Join Fletch (from theMangoTimes) and Kendra (from Preschoolers and Peace) for the HomeschoolingIRL podcast every two weeks as they interview guests and talk through some of the goofiness they have experienced in nearly two decades of Homeschooling In Real Life.

 

Enjoy this podcast? Try these:

6 Reasons Your Child Hates to Write

I Hate Homeschooling Let Me Tell You Why

Math Contests Revisited

Math Contests Revisted

290: Math Contests Revisited

In this episode of the Homeschooling with Technology podcast, we revisit the topic of math contests with guest Haley Story. This episode builds on Haley’s previous discussion from Episode 243 Math Contests, where she introduced listeners to the topic. Now, with a year of experience running multiple contests, Haley shares valuable insights on what works, what doesn’t, and how these contests can benefit homeschoolers, particularly those in middle school.

Episode Highlights:

  • Recap of Math Contests:
    • Math contests are academic competitions that involve problem-solving and logic skills rather than traditional math problems found in school or on standardized tests.
    • Benefits of participating in math contests include exposure to the fun side of math, development of test-taking skills, and opportunities to build community and friendships within the homeschooling community.
  • Why Homeschoolers Should Consider Math Contests:
    • Math contests can introduce students to academic competitions with less time commitment compared to other contests.
    • Participation can help students develop resilience in competitive environments and realize that they may not always be the best, exposing them to a world of gifted peers.
  • Important Considerations:
    • Stress the difference between a competition and a test to avoid pressure on students to achieve perfect scores.
    • Make the contests low-key and fun to ensure students enjoy the experience, with activities like game days or social events after contests.
    • Let math contest days replace regular math assignments to avoid overwhelming students.
  • Types of Students Who Thrive in Math Contests:  Haley suggests that all students should try a math contest, but those who particularly enjoy logic puzzles, are motivated by competition, or have a strong interest in math will likely benefit the most.
  • Math Contests Covered:
    • Bebras Challenge: An international computational thinking contest with fun, interactive logic puzzles. It’s free, accessible to students from kindergarten through 12th grade, and an excellent introduction to academic contests.
    • Noetic Learning Math Contest: A 20-question contest with a mix of easy and challenging problems, ideal for grades 2 through 8. This contest is offered twice a year and is perfect for group settings.
    • American Mathematics Competitions (AMC 8): A more challenging contest aimed at middle school students, the AMC 8 is a 25-question, 40-minute multiple-choice exam that covers topics like algebra, geometry, and number theory. Haley describes the AMC 8 as ideal for students who are more serious about math competitions and looking for a national-level challenge. There is also an AMC10 and AMC12 for high schoolers
  • Practical Tips for Organizing Contests:
    • Form a homeschool group to register participants for contests like Bebras.
    • Offer small prizes and participation awards to keep the contests enjoyable.
    • For group settings, consider organizing a math club or circle to foster a sense of community among participants.

Article mentioned:

 


Take a look at show sponsor, FundaFunda Academy to see what they offer for online classes and web-based unit studies.

Join our Facebook Group, especially for the listeners of this podcast! You can ask questions and get advice as you try integrating technology into your homeschool.

If you enjoyed this episode, please subscribe to the show and give a rating and maybe even a review! Subscribing will help you make sure you never miss an episode