Advanced Math · Grades G1–G5
Build conceptual understanding, model-building skills, and logical mathematical thinking through concrete, pictorial, and abstract learning.
Singapore Math tutoring for 2nd grade is an enrichment-focused approach that helps students understand why mathematical ideas work, rather than only memorizing procedures. ACE Academy’s Advanced Math line is designed for G1–G5 students and uses the CPA method: Concrete understanding, Pictorial representation, and Abstract reasoning. The program emphasizes concepts, mathematical models, logical reasoning, and systematic thinking while extending beyond a regular learning pace.
For families comparing options, our guide to second-grade math mastery offers a useful starting point, while 2nd grade math enrichment explains how enrichment can fit a child's learning goals.
A structured route into deeper mathematics
Students begin with concrete representations, use diagrams and models to make relationships visible, and then move toward abstract mathematical notation. This sequence gives a 2nd grader more than an answer: it provides a way to explain the reasoning behind the answer.
The Advanced Math line is intended to create a systematic foundation for later Honors Math and competition study. Families can also explore Singapore Math and logical thinking when considering how the approach differs from traditional tutoring.
ACE Academy’s mathematics system includes Advanced Math for G1–G5, Honors Math based on AoPS materials from Pre-Algebra through Calculus, and Competition Math for deeper international contest preparation. A 2nd grader’s learning path can therefore begin with concepts and later connect to Honors Math preparation.
ACE Academy provides live online classes and in-person learning centers. That gives families a choice of learning environment while keeping the focus on teacher-led instruction, small-group interaction, and a structured mathematics pathway.
The goal is not simply to move faster. It is to help a young learner build a durable way of thinking about mathematics.
Use the CPA sequence to connect concrete experiences, visual models, and abstract ideas.
Represent quantities and relationships in ways that make problem-solving more systematic.
Practice explaining connections instead of relying only on memorized formulas.
Study material aligned with strong private-school standards and deeper enrichment goals.
Lay groundwork for future Honors Math and competition learning.
Join teacher-led, interactive classes supported by ACE Academy’s selective faculty approach.
Book a free trial and share your child’s grade, subject needs, and learning goals.
What you see: a trial booking and subject selection.
Your student works through concrete, pictorial, and abstract representations with a live teacher.
What you see: guided examples and interactive mathematical thinking.
Select an appropriate learning route for continued Advanced Math enrichment and later progression.
What you see: a structured next step for ongoing study.
Reported stronger logic after only eight lessons in a site survey.
Reported better learning habits in a site survey.
Reported increased confidence in a site survey.
Trustpilot TrustScore shown by ACE Academy.
“The curriculum is also thoughtfully designed, using engaging characters that make lessons more enjoyable and easier to understand for both students and teachers.”
| Decision factor | ACE Academy Advanced Math | Worksheet-only practice | Unstructured tutoring |
|---|---|---|---|
| Learning sequence | Concrete → pictorial → abstract | Primarily written practice | Varies by tutor and lesson |
| Core emphasis | Concepts, models, logic, systematic thinking | Repetition and completion | Lesson-by-lesson support |
| Progression | Advanced Math toward Honors and Competition Math | Usually limited to current exercises | Depends on individual planning |
| Learning format | Live online and learning centers | Independent study | Format depends on provider |
The following figures come from ACE Academy site information and related program materials.
Advanced Math coverage
Students in relevant small-group programs
Honors teachers with math or engineering backgrounds
Honors teacher selection rate cited
ACE Academy’s Advanced Math Singapore Math line is designed for G1–G5 students, which includes 2nd grade. It is intended for students who can benefit from deeper concept understanding, model building, logical reasoning, and systematic mathematical thinking. The program is positioned as enrichment rather than only routine practice. A free trial and placement support can help families identify an appropriate starting point. The most suitable level depends on the student’s current learning needs and goals.
CPA stands for Concrete, Pictorial, and Abstract. Concrete learning uses tangible or visible representations to make an idea understandable. Pictorial learning then uses diagrams, models, or other images to show relationships. Abstract learning moves toward symbols, notation, and more formal mathematical reasoning. ACE Academy describes this sequence as a central part of its Singapore Math teaching approach.
The stated focus is not simply to repeat a procedure until it is memorized. ACE Academy’s approach emphasizes conceptual understanding, mathematical models, logical reasoning, and a progression from concrete to pictorial to abstract thinking. The Advanced Math line is also designed to go beyond a regular learning pace and align with strong private-school standards. This can make it relevant for families seeking enrichment or a more systematic foundation. Families can compare it with traditional math tutoring according to their child’s goals.
ACE Academy offers live online classes and in-person learning centers. The available format can depend on location and scheduling. The company lists learning centers in San Jose, Great Neck, Scarsdale, Melbourne, and Singapore. Online learning allows students to join live instruction from another location. Families can use the learning center page or contact the team to ask about the appropriate option.
The Advanced Math line is described as a foundation for future Honors Math and competition participation. ACE Academy’s Honors pathway uses AoPS materials and covers a sequence from Pre-Algebra through Calculus. Competition Math is positioned as an additional route for students seeking stronger AMC and international mathematics competition preparation. The next step should reflect the student’s readiness and learning goals. Placement evaluation can help the family identify an appropriate course level.
ACE Academy site information includes sample math package pricing of $999 for 36 lessons and $1,819 for 72 lessons. Those figures are examples provided in the supplied materials and may not represent every Advanced Math option or current package. Families can book a free trial through the subject-selection page before deciding on a longer enrollment. A trial can also help clarify placement and fit. For current availability, package details, and pricing, contact ACE Academy directly.
Start with a free trial and explore a Singapore Math pathway built around concepts, models, and reasoning.