ACE Academy’s Advanced Math program uses the Concrete–Pictorial–Abstract approach to help elementary students understand concepts, model problems, reason logically, and prepare for deeper mathematics.
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G1–G5
Advanced Singapore Math pathway
Online
Live learning from anywhere
A clear starting point
A Singapore Math tutor online teaches mathematics through a structured progression that moves from hands-on understanding to visual models and then to abstract symbols. ACE Academy applies this approach in its Advanced Math program for G1–G5 students who need enrichment, deeper practice, or a stronger foundation for future mathematics. Live online classes connect students with teachers through an education technology platform, while the curriculum emphasizes concepts, model building, logic, and systematic mathematical thinking.
For families comparing options, this learning model can be a useful alternative to lessons focused only on memorizing procedures. Students who want broader enrichment can also explore Singapore Math problem solving as part of a longer academic pathway.
Inside the learning experience
The Advanced Math pathway is designed for students with room to grow and for families seeking structured enrichment beyond the regular pace.
Students first develop a concrete understanding, then represent relationships with pictures and models, and finally move toward abstract notation. This sequence supports conceptual understanding rather than treating formulas as isolated rules.
Lessons are positioned to develop concept understanding, mathematical modeling, logical reasoning, and systematic thinking. The program covers regular learning progress while providing deeper extension for students with additional capacity.
ACE Academy connects learners and teachers through online learning technology. The online format gives families a flexible way to access mathematics instruction while keeping the curriculum and teacher support at the center.
A representative geometry example moves through semicircle areas, a sector, and a triangle before reaching the final area of one quarter. The worked format shows how a student can connect visual relationships with mathematical reasoning.
What families can expect
Build meaning before relying on abstract notation or procedures.
Use visual representations to organize relationships and solve problems.
Work through multi-step thinking instead of focusing only on final answers.
Go beyond the standard pace when a student is ready for deeper exploration.
Build a foundation for the later Honors pathway from Pre-Algebra through Calculus.
Develop skills that can support later preparation for international mathematics competitions.
A simple beginning
Choose the trial path and share the student’s grade or learning needs.
What you see: A starting point for the conversation.
Use the placement process to identify a suitable level and learning direction.
What you see: A clearer fit between goals and program level.
Start the Advanced Math pathway with CPA-based instruction and continued extension.
What you see: A consistent online learning routine.
Designed as a pathway
A practical example
Consider a student working through a geometry problem involving a shaded lune. Rather than receiving only the answer, the worked solution identifies the small semicircle, the sector, and the triangle, then calculates each area before combining them. With the given diameters, the sector and small semicircle both have area π/8, while the triangle has area 1/4, producing a final lune area of 1/4. The example shows the kind of visual decomposition and step-by-step reasoning that fits a CPA-informed learning experience.
This online tutor pathway is designed for G1–G5 students who have room for additional challenge, want deeper mathematics enrichment, or need systematic support with concepts and reasoning. It can also suit families looking for a bridge toward Singapore Math for gifted elementary students or a structured foundation before later Honors and competition work.
Evidence families can review
“I love teaching at ACE Academy because I get to work with students of all personalities, and my experience helps me connect with each of them in meaningful ways. The curriculum is also thoughtfully designed, using engaging characters that make lessons more enjoyable and easier to understand for both students and teachers.”
“I love teaching at ACE Academy because I get to work with students of all personalities, and my experience helps me connect with each of them in meaningful ways. The curriculum is also thoughtfully designed, using engaging characters that make lessons more enjoyable and easier to understand for both students and teachers.”
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“Highly rated by hundreds of families.”
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95% of families gave five-star ratings.
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Choose with clarity
| Decision factor | ACE Academy Advanced Math | General online tutoring | Self-paced practice |
|---|---|---|---|
| Teaching model | Singapore Math principles with CPA progression | May vary by tutor | Usually practice-led |
| Age or level focus | G1–G5 Advanced Math | Depends on provider | Depends on materials |
| Teacher connection | Live online teacher support | May be live | No live teacher required |
| Long-term pathway | Foundation toward Honors and Competition Math | Often lesson-by-lesson | Usually independent |
| Published sample pricing | 36 lessons: $999; 72 lessons: $1,819 | Not specified | Not specified |
At a glance
Year LingoAce was founded
Advanced Math grade range
Instructors reported with master’s or doctoral degrees
Teacher selection rate cited for competitive math faculty
ACE Academy also lists learning centers in San Jose, Great Neck, Scarsdale, Melbourne, and Singapore, alongside online learning access.
Frequently asked questions
Singapore Math tutoring online is live mathematics instruction delivered through an online learning platform using Singapore Math teaching principles.
ACE Academy’s Advanced Math pathway uses the Concrete–Pictorial–Abstract method, moving from concrete understanding to visual representation and then abstract reasoning.
The program is intended to develop concepts, mathematical models, logic, and systematic thinking.
It is designed for G1–G5 students who have room for enrichment or deeper extension.
Families can use the placement process and free trial to explore whether the level and learning direction are appropriate.
The program is designed for students in grades G1 through G5.
It is positioned for learners who have additional capacity and want mathematics enrichment or deeper extension.
It can also support students whose families want a structured foundation in concepts, modeling, and logic.
The course covers regular learning progress while providing opportunities for further development.
Because students begin at different levels, ACE Academy offers placement evaluations to help identify a suitable learning path.
CPA stands for Concrete, Pictorial, and Abstract.
Concrete learning gives students a way to understand an idea through tangible or observable relationships.
Pictorial learning then represents those relationships with diagrams, models, or visual structures.
Abstract learning connects the model to symbols, equations, and more formal mathematical language.
ACE Academy uses this progression to support concept understanding and logical problem solving rather than relying only on memorized steps.
ACE Academy describes Advanced Math as a foundation for its later Honors Math pathway.
The Honors pathway extends from Pre-Algebra through Calculus and combines school mathematics with competition content.
The Advanced Math program is also positioned as preparation for future mathematics competition work.
Competition Math is a separate pathway that includes preparation for contests such as AMC.
Students and families should use placement guidance to determine which pathway is appropriate at a particular stage.
The sample math pricing provided for ACE Academy lists 36 lessons at $999.
A second sample package lists 72 lessons at $1,819.
These are published examples rather than a complete statement of every available package or enrollment condition.
Pricing may depend on the selected program, lesson package, and enrollment details.
Families can contact ACE Academy or begin with the free trial pathway for current program and pricing information.
Families can start by booking a free trial through the subject-selection page.
ACE Academy also provides placement evaluations to help match a student to the right level.
Parents can review the student’s grade, goals, and interest in enrichment before contacting the team.
For questions about online courses and products, the supplied customer-service email is service@lingoace.zohodesk.com.
The team can provide more current information about schedules, course fit, packages, and enrollment.
Explore a Singapore Math tutor online through ACE Academy’s G1–G5 Advanced Math pathway, built around CPA learning, models, logic, and long-term progression.