Best Math Programs for Gifted Kids: from Kindergarten to High School

Top Picks for Gifted Math Learners:

• Funexpected Math: Ages 3–7. AI-powered lessons with over 10,000 tasks. Boosts math engagement and scores with just 15 minutes twice a week. ($10.99/month)

• Beast Academy Early Access: Ages 6–8. Comic-style books + online platform with 1,000+ lessons. ($96/year)

• Beast Academy Online: Ages 6–13. Advanced problem-solving with 20,000+ problems. ($99.99/year)

• Prodigy Math: Grades 1–8. Adaptive math learning in a fantasy RPG format. (Free or $6.25+/month)

• Art of Problem Solving (AoPS) Primers: Grades 7–10. Text-based, problem-first approach for advanced concepts. ($47/book)

• AoPS Intermediate Courses: Grades 8–12. Prepares students for math competitions. ($695/course)

• IMACS Math Logic: Middle to high school. Develops logical reasoning with small classes. ($655/session)

• Stanford OHS Math Program: High school. College-level, live online classes. ($6,195+/course)

• Davidson Academy Math Courses: Grades 6–12. Ability-based small classes for personalized learning. ($2,750/course)

Quick Comparison Table:

Key Takeaway:

Each program caters to different age groups and learning styles. For younger kids, Funexpected Math is an excellent start[1]. Older students can excel with AoPS, Beast Academy, or Davidson Academy. Choose based on your child’s age, interests, and math goals.

1. Funexpected Math

Funexpected Math is a learning app perfectly suitable for gifted children aged 3 to 7. It offers an impressive range of over 10,000 interactive tasks spread across 675 lessons, covering more than 50 advanced math topics - far exceeding the typical PreK-2 curriculum[2].

The app’s AI-powered tutor carefully tailors the curriculum to different age groups, focusing on foundational and advanced concepts:

One of the app’s features is its mistake-friendly approach, which helps children build confidence while tackling challenging problems. It uses six different study formats, such as numeracy practice, math manipulatives, and logic puzzles, to keep learning engaging and thought-provoking [3].

Funexpected Math’s curriculum includes multiple topics and tasks typically found in tests for gifted children. So, if you aim to prepare your child for these tests, the app can be a great support.

Parents have praised the program’s effectiveness. Jon Favertt969, a parent with a background in mathematics, shared his experience:

"I have a math background myself and I wanted to find an app with a wide curriculum. Something about logic and geometry, not just counting. And this one was the perfect choice. I see how my daughter starts to understand even complex concepts." [1]

The results speak for themselves: just two 15-minute sessions per week can help a child rise to the top of their age group in math. Funexpected Math has also earned industry and users’ recognition, winning the Kidscreen 2025 Award for Best Original Learning App and the EdTech Breakthrough Award for Best Math Learning Solution[3].

To support blended learning, the platform provides handcrafted tutorials and printable worksheets, ensuring a well-rounded educational experience[4].

2. Beast Academy Early Access

Beast Academy Early Access provides an advanced math curriculum tailored for gifted children aged 6–8. It combines engaging comic-style books with a robust online platform featuring over 1,000 lessons and 20,000 problems, each with detailed solutions [5].

The curriculum is divided into four units (1A–1D) and follows a mastery-based approach. This allows students to move through topics at their own pace, reinforcing advanced math concepts as they go [6]. This structured progression has shown strong results in building both skills and confidence.

The program has been widely praised for its rigor and ability to engage young learners, boasting a 97% customer satisfaction rate [7]. Parents frequently highlight its ability to challenge students without overwhelming them. Jessie Mathisen, a parent, shared:

"I'm pretty sure they are the most engaging math books I've ever encountered, and they pull this off without watering down the content at all (quite the contrary, in fact)." [8]

Subscription plans include a monthly option at $15.99 (with additional siblings at $10.99) and an annual plan for $99.99 (additional siblings at $64.99) [5]. Beast Academy recommends starting students a grade level below the typical expectation, and placement tests are available to help identify the most suitable starting point for each child [5].

3. Beast Academy Online

Beast Academy Online is a digital math platform tailored for gifted learners aged 6–13. Designed to challenge and engage, this program builds on the success of its physical guidebooks by offering an interactive, in-depth online experience.

The curriculum includes over 20,000 problems spread across 1,000+ lessons [9].

These features are designed to foster measurable growth in students. Julie Miller, a Gifted and Talented Teacher at St. Anthony-New Brighton School District, highlights the platform’s adaptability:

"The individualization is wonderful. Students can go at their own pace and comfort level. I also love how they can see progress and try problems more than once. Students and I love to see red changing to green. We talk about how this shows growth and understanding." [9]

For the best outcomes, experts suggest:

• Starting at a level below the current grade level

• Committing at least 3 hours per week for primary curriculum users

• Using placement tests to find the right starting point

The subscription costs $99.99 annually, with sibling discounts available at $64.99. For families who want both digital access and physical books, a bundled option is offered at $160 per year [5].

Parent Daniel E. shares the impact on his child:

"Her improvement and confidence this year has been remarkable. Her teacher says she is now at the top of her class." [9]

With a 97% customer satisfaction rate, Beast Academy Online has proven to be a game-changer for gifted students, blending rigorous content with an engaging format. It’s a powerful tool for learners who thrive on advanced mathematical challenges beyond what traditional curricula typically offer.

4. AoPS Primers

After exploring interactive platforms, let's turn to AoPS Primers, which take a text-based route to nurture advanced math skills. Designed for students in grades 7–10, this program was developed by former math and science Olympians to introduce higher-level problem-solving techniques [10].

Unlike platforms like Funexpected Math and Beast Academy that lean on interactive and visual methods, AoPS Primers emphasize a deep, text-focused approach. The program’s centerpiece, Art of Problem Solving, Volume 1: The Basics, features over 500 examples and exercises that go well beyond what most standard curricula offer [11].

The program flips the traditional teaching model by presenting problems first, encouraging students to explore independently before diving into formal instruction. This method equips learners to tackle challenges like MATHCOUNTS, AMC 8/10/12 contests, and advanced math courses [11].

Dr. Richard Rusczyk, the founder of AoPS, explains the philosophy behind the program:

"We use math to teach problem-solving because it is the most fundamental logical discipline. The language of mathematics is precise, and success/failure is immediate and indisputable." [13]

For students to excel, a strong grasp of basic algebra is essential, along with a focus on understanding problem-solving strategies rather than relying on rote memorization. Progressing step-by-step is key to success [14][15]. AoPS Primers are particularly suited for gifted students, helping them build the problem-solving foundation needed for competitive academics and demanding careers [14].

5. Prodigy Math

Prodigy Math takes a creative approach to teaching math by combining learning with a fantasy role-playing game. It adjusts to each student's skill level, ensuring that even advanced learners can progress beyond their grade level. Here's a closer look at what makes Prodigy Math stand out [16][17]:

Schools using Prodigy Math have reported impressive results, including an 11.6% increase in students meeting standards and a 68% boost in monthly math skill mastery [16][18].

Jane Bryson, a fourth-grade teacher, shared her enthusiasm for the program:

"Prodigy is by far, the most engaging, flexible, student and teacher friendly math program I have ever encountered. Nothing else produces the data, supports the curriculum, addresses the variety of levels and skills, all the while being epically fun!" [19]

For advanced learners, Prodigy Math provides several standout features:

• Adaptive progression that introduces more challenging content as students excel

• Tasks designed to develop higher-order thinking skills

• Curriculum challenges that go beyond standard grade-level concepts

The platform offers three membership tiers:

• Core Membership: $6.25/month (billed annually)

• Plus Membership: $11.25/month (billed annually)

• Ultra Membership: $14.95/month (billed annually) [16]

Teachers can also use Prodigy's Assignment tool to create tailored content for their students. The platform’s popularity is reflected in its high satisfaction rates, with 91% of students finding it enjoyable and 96% of parents and teachers expressing satisfaction [16][17].

Carol Tomlinson highlights the program's ability to cater to diverse student needs:

"Differentiation really means trying to make sure that teaching and learning work for the full range of students." [17]

Prodigy Math also employs a spiral review method, which helps reinforce knowledge and continuously assess progress [18]. As we explore other tools, we'll see how they measure up in providing advanced math opportunities for gifted learners.

6. AoPS Intermediate Courses

AoPS Intermediate Courses take Algebra 2 and Precalculus concepts to the next level by blending them with advanced problem-solving techniques often seen in math competitions like AMC and AIME [19].

Here’s a snapshot of the curriculum:

Each lesson kicks off with thought-provoking problems designed to spark independent thinking. Only after tackling these challenges do students dive into detailed explanations and problem-solving techniques [19].

Richard Rusczyk, the course creator, describes it as:

"A comprehensive textbook covering Algebra 2 and topics in Precalculus. This book is the follow-up to the acclaimed Introduction to Algebra textbook. The text includes those problem solving strategies required for success on the AMC and AIME competitions." [19]

The accompanying textbook is no lightweight - it spans 720 pages of instructional material, includes 336 pages of meticulously worked-out solutions, and features over 1,600 challenging problems [19].

Course Details

• Prerequisites: Proficiency in basic algebra and quadratic equations.

• Duration: 24 weeks.

• Cost: $695 for the course, or $769 if you include the required textbook and solutions manual [20].

Course Outline

The course follows a structured progression:

• Start with foundational topics like complex numbers and quadratic equations.

• Move into deeper explorations of conic sections and polynomials.

• Dive into sequences, series, and functional equations.

• Wrap up with a focus on mastering problem-solving techniques.

While the material is demanding, the course provides plenty of support through detailed solutions, making it an excellent stepping stone for students aiming to tackle advanced mathematics and competitive challenges [19].

7. IMACS Math Logic

IMACS Math Logic is a challenging program designed for middle and high school students who excel in mathematical reasoning. Based on the acclaimed Elements of Mathematics series, it introduces college-level logic concepts to advanced learners, making it a standout option for those eager to push their intellectual boundaries [21].

Program Structure

The program is carefully organized to ensure a deep dive into logical reasoning:

This structure provides a progressive framework, allowing students to expand their logical thinking step by step.

Advanced Mathematical Logic Track

The curriculum is divided into three sequential courses, each building on the last to enhance abstract reasoning and problem-solving skills [22]:

• Logic for Mathematics I

• Logic for Mathematics II

• Set Theory

These courses are designed to foster advanced mathematical thinking, preparing students for complex challenges [21].

Student Success Stories

The program's impact is evident in the achievements of its alumni [23].

"IMACS helped me to discover my passion with courses that encourage creative problem solving and offer a deep, meaningful understanding of the material. If it weren't for IMACS, I might never have realized that I like math!"

• Naomi Spargo, IMACS Alumna [24]

Other success stories include Brett, who achieved a perfect 800 on the SAT Math section and earned a scholarship covering two-thirds of his tuition at Emory University. Similarly, Jennifer scored a perfect 800 on the SAT Math section and gained admission to prestigious institutions like MIT, the Wharton School of the University of Pennsylvania, the University of Chicago, and Duke University [24].

These examples highlight how IMACS equips students with the skills needed for academic and professional success.

Enrollment Requirements

To join the program, applicants must meet specific criteria:

• Obtain a recommendation from an IMACS instructor

• Pass the free IMACS Aptitude Test [18]

IMACS focuses on teaching the logical foundations of mathematics, emphasizing creative and critical thinking over rote memorization [22]. Unlike traditional math programs, it encourages students to explore concepts through exercises that build both logical and creative problem-solving abilities [23].

Summer Intensive Options

For those looking to accelerate their learning, IMACS offers one-week intensive summer courses. These daily classes (Monday through Friday) cover the same comprehensive curriculum in a shorter time frame, making them ideal for students eager to dive deeper into advanced topics [29].

The program is particularly suited for gifted students, leveraging their ability to learn quickly, retain information, and think abstractly [30]. This makes IMACS an excellent choice for those aiming to excel in advanced mathematical studies.

8. Stanford OHS Math Program

Stanford Online High School offers a challenging curriculum designed for gifted students, with 65% of its instructors holding Ph.D. degrees [31]. The program combines foundational courses with advanced, university-level content in small, interactive classes - typically averaging just 12 students. This setup ensures personalized attention and a unique academic experience [32][33].

Program Structure and Curriculum

Academic Approach

Stanford OHS is moving away from all AP courses by Fall 2024 [34], focusing instead on a curriculum that emphasizes mathematical theory, practical applications, critical thinking, independent research, and problem-solving skills [35].

"The Division emphasizes vertical integration of courses from foundational secondary mathematics courses through advanced university-level offerings, and is committed to working to ensure that students adapt a sequence of study that includes both depth and breadth in mathematics." - Stanford Online High School [35]

Investment and Accessibility

For the 2025–26 academic year, the tuition options are as follows:

Stanford OHS provides over $2.5 million in financial aid annually, with 13% of students receiving assistance that covers 75% or more of their tuition costs [36].

Unique Features

Stanford OHS employs innovative teaching methods to support accelerated learning in mathematics. The program uses a flipped classroom model [37], allowing students to progress at their own pace, engage in dynamic discussions, and enroll in courses through placement testing.

The mathematics program equips students with a strong foundation in both theory and application, preparing them for success in advanced academic settings [38].

9. Davidson Academy Math Courses

Davidson Academy stands out by grouping students based on their abilities rather than their age, creating a learning environment tailored to individual strengths and potential [40].

Program Structure

This approach allows students to follow a personalized and accelerated curriculum, moving seamlessly from basic concepts to more advanced mathematical theories.

Curriculum and Instruction

The Academy’s math curriculum is designed to foster critical thinking and problem-solving. With an average class size of just ten students, teachers can focus on individualized instruction and engage students in discussion-based learning. The coursework spans a range of levels, including Pre-Algebra, Geometry, Advanced Algebra, Calculus, Introduction to Proofs, and Statistics [41].

Advanced Learning Features

Davidson Academy incorporates several unique elements to support gifted learners:

The Academy’s program is designed to challenge profoundly gifted students with a high school-level curriculum starting in middle school. This structure enables students to progress at their own pace while maintaining a rigorous academic standard [42].

The Academy emphasizes critical thinking and adapts its teaching methods to meet the needs of each learner, ensuring a supportive and enriching educational experience [41].

Program Comparison

Choosing the right math program can make a significant difference in fostering gifted mathematical talent. Below, we’ve broken down some of the top programs by age group, content focus, and teaching style to help educators and parents make informed decisions.

Early Learning Programs (Ages 2-8)

Elementary & Middle School Programs

High School and Advanced Programs

* Davidson Academy offers a $500 discount for Davidson Young Scholars and free tuition for Nevada residents [43].

Key Insights on Program Features

Each program stands out for its unique approach to teaching math. For example, AoPS courses emphasize rigorous problem-solving, often led by former Olympians, while Beast Academy captivates younger students with comic-style lessons and interactive activities. Meanwhile, Davidson Academy focuses on small, ability-based classes to ensure personalized learning paths.

Teaching Methodologies and Their Impact

The teaching strategies used by these programs are designed to nurture critical thinking and problem-solving skills in gifted learners. Here's how they compare:

These programs offer a wide range of options, from free resources to premium courses, ensuring there’s something for every gifted learner. Whether it’s through interactive platforms, rigorous problem-solving, or personalized instruction, each program brings a distinctive approach to nurturing mathematical talent.

Recommendations

Based on the detailed comparison of math programs, here’s a guide to selecting the best options for gifted students at different stages of their education.

Early Elementary (Ages 3–7)

For young learners, Funexpected Math is a fantastic choice. Its curriculum spans over 50 topics, offering a wide range of activities that keep kids engaged while challenging their growing skills. The platform’s variety ensures continuous interest and learning.

Elementary School (Ages 8–11)

Beast Academy stands out for this age group with its comic-style approach. The visuals and storytelling make abstract math concepts easier to grasp, while the interactive format encourages critical thinking and problem-solving.

Middle School (Ages 12–14)

Gifted middle schoolers can benefit from combining AoPS Primers, which dive deep into advanced concepts, with IMACS Math Logic, which sharpens reasoning skills. This pairing is especially effective for students who excel in rapid problem-solving and enjoy exploring the “why” behind mathematical ideas.

High School (Ages 14–18)

For older students, Davidson Academy offers a rigorous, customized curriculum. With small class sizes and ability-based grouping, it provides personalized instruction that adapts to each student’s strengths and goals.

Key Selection Criteria

When picking a program, match the student’s traits with these features [44]:

Special Considerations

To ensure the best outcomes, implement these strategies:

• Use pretesting to skip topics the student has already mastered.

• Group students by their math proficiency instead of their age.

• Explore cross-grade acceleration if the student is ready for more advanced material.

• Encourage technology-based, open-ended problem-solving activities.

These recommendations aim to align each student’s unique abilities with programs that nurture their mathematical potential.

FAQs

What should parents look for in a math program for their gifted child?

When selecting a math program for a gifted child, it’s essential to factor in their current abilities, enthusiasm for particular math topics, and willingness to tackle more advanced material. Opt for programs that emphasize in-depth exploration, open-ended problem-solving, and opportunities to approach concepts in imaginative ways.

Equally important is finding a program that matches your child’s unique learning style and promotes analytical thinking and creativity. The right program should keep up with their pace, offering engaging and challenging content that’s suitable for their age and intellectual level.

What makes Beast Academy and AoPS different in how they teach advanced math to gifted students?

Beast Academy takes a colorful, story-driven path to teach math. It focuses on sparking creativity and building a strong understanding of concepts, all while keeping the learning process engaging and enjoyable. Through its visual approach, it dives deep into mathematical ideas in an accessible way.

In contrast, AoPS (Art of Problem Solving) opts for a more traditional and structured method. It emphasizes advanced problem-solving and strategic thinking, challenging students with complex problems to help them achieve mastery.

Both programs are tailored for gifted learners, but their styles differ: Beast Academy shines with its visual and creative approach, while AoPS stands out for its focus on depth and academic challenge.

What’s the best way to combine different math programs to support a gifted child’s learning?

To help a gifted child excel in math, try blending structured programs with interactive, tailored tools. For instance, using Funexpected Math alongside advanced curricula or enrichment activities can create a balanced learning experience. This combination supports both conceptual understanding and practical problem-solving skills.

By keeping the material engaging and appropriately challenging, this method encourages growth while nurturing a genuine enjoyment of math.

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