Parents sometimes assume that because mathematical ability has a genetic component, a child’s potential is essentially fixed, an assumption reinforced by myths like being “left-brained” or “right-brained.” But genetics influences a student’s starting aptitude, not the competence students can achieve through good instruction. At Wilson Hill, we have found that even when students begin with varying natural aptitudes, math confidence and proficiency are not predetermined but cultivated through intentional teaching methods, a coherent curriculum, and sustained intellectual formation within the classical Christian approach. 

The study of mathematics isn’t just about knowing how to find the area of a triangle. When taught with intention, mathematics contributes to the formation of logical, accurate, and precise thinkers. But this discipline also serves as an inroad to the wonder, wisdom, and worship of God. We strive at all curricular levels toward this higher purpose.

To this end, we carefully selected math curricula that would further students’ pursuit of beauty, goodness, and truth. The Singapore method of math (paired with Dolciani) best aligns with our classical philosophy and our desire to equip students to think mathematically using their Socratic training. This gives them skills that extend far beyond any math test. Since adopting this method, our students have thrived, successfully grasping increasingly complex mathematical concepts and finding genuine enjoyment in the process, all while deepening their understanding of God’s truth.

The History of Singapore Math

In the 1980s, Singapore developed its own math curriculum that focused on conceptual mastery of each topic and emphasized problem-solving skills over memorization. Its three-pronged approach—concrete, pictorial, abstract—encourages students to build a sturdy foundation by first using physical objects to solve problems (counting wooden blocks or gathering paperclips on their desk), then pictures (drawing bars or circles to visualize addition), and finally arriving at mental math that comes easily. 

This new national initiative significantly boosted Singapore’s ranking in math, with its students consistently recognized among the top for math globally. Since Singapore’s success with the method, schools around the world, including many in the United States, have adopted it and developed their own iterations.

How Singapore Math Aligns with a Classical Christian Model

Singapore math aligns remarkably well with the classical Christian model because both are grounded in a shared view of prioritizing understanding over memorization. Both recognize a natural progression in mathematics from concrete to pictorial to abstract, without reducing that progression to a fixed sequence. And Singapore math’s clarity, structure, and coherence help students see math not as arbitrary rules, but as a meaningfully designed system, an invitation to wonder rather than to frustration.

Since our founding, Wilson Hill teachers have enthusiastically embraced Singapore math, and students are thriving.

Some homeschooling educators are uncertain about Singapore math because it’s different from the method they learned—the traditional approach of rote memorization and repetitive drills—and instead emphasizes understanding how and why problems are solved. However, we have found that Singapore math is most effective for all students, teaching them to solve problems in more than one way, reinforcing number sense, deepening conceptual understanding, and boosting confidence.

Number Sense

What phonics is to reading, number sense is to the early development of math fluency. For example, students who can mentally break numbers apart in different ways can choose the best way to partition a number for easy manipulation. Try adding 54 and 7. This is easier if you can see 7 as 6+1, making the addition quick, intuitive, and accurate. We get there using physical objects first, then pictures of number bonds, and finally, the quick, accurate mental abstraction. The concrete-to-pictorial-to-abstract approach in Singapore math is an effective way to develop math fluency through number sense rather than strict rote memorization.

Understanding the Why

The hallmark of the Singapore method is mastery. Students are asked to solve problems in more than one way, giving them a broader understanding of how math works that is missed when students are only expected to memorize and regurgitate formulas. 

This approach reinforces the overarching goal of all Wilson Hill classes: teaching students how to think, not what to think. Singapore helps students develop metacognition and improve mental flexibility. Instead of being primarily responsible for the right answer, they are responsible for thinking, for understanding how they arrived at that answer. This emphasizes cultivating wisdom rather than accumulating knowledge.

Confidence in Math

One of the most rewarding benefits of Singapore math is the confidence it instills in students. When students struggle with memorization or don’t understand the why behind what they’re doing, they’re discouraged and assume math just isn’t their subject. At Wilson Hill, our teachers strongly believe that all students can learn to appreciate and even enjoy math. 

When students have a toolkit of problem-solving skills at their disposal, they don’t panic when they encounter a particularly challenging problem. Math becomes an approachable subject that makes sense, regardless of their starting point or emotions toward it.

Why Math is a Critical Component of a Classical Christian Education

At Wilson Hill, mathematics is a central pillar of our academic program because it trains students to think logically, reason carefully, and approach complex problems with confidence, skills essential for success in college and in science, technology, engineering, and mathematics fields.

Using the Singapore math approach, Wilson Hill emphasizes conceptual understanding over rote memorization. Students learn not only how to solve problems, but why solutions work. By engaging with math through multiple strategies and clear progression, students develop strong number sense, analytical thinking, and problem-solving skills that transfer to advanced science, technology, engineering, and mathematics coursework.

Even more importantly, a thoughtful approach to mathematics provides meaningful opportunities to marvel at the character of God. Students experience God’s infallibility through the never-changing truths of math, and the innate order and patterns found in proofs and equations reflect a masterful Creator. In a phrase often attributed to Galileo, “Mathematics is the language in which God has written the universe.” How we teach this language matters deeply. When math instruction is designed primarily for naturally gifted students who easily make abstract connections, other students are left behind, missing the opportunity to develop a deeper affection for the Lord through mathematics. Math is for all students because all students can learn to love math and discover new depths of God’s beauty and goodness. 

Gospel-Centered Teachers Who Love Math

As Christian parents and educators, we naturally look for Christian curricula. At Wilson Hill, we choose the curricula that best align with our educational philosophy, even if they are not overtly Christian. A curriculum itself matters less than who teaches it. Every day, our Gospel-centered math teachers bring enthusiasm and joy to their subject, pointing students to the glorious truths of God’s character and His holiness that we uniquely encounter through the study of mathematics. 

Unlike many traditional schools, where teachers are sometimes assigned to math classes regardless of their primary expertise, teachers at Wilson Hill teach math because they are passionate about math. This results in lively classrooms where math is viewed as a joy, not a burden, and students view themselves as capable of conquering new challenges rather than labeling themselves “bad at math.”

Cultivation of Classical Christian Virtues

Math is, fundamentally, a language that we use to describe real things. Like any language, we seek systematic knowledge of how it works (grammar, logic) along with a skillful application of those tools to explore the art and possibilities within that language (rhetoric). 

As students learn new mathematical concepts and wrestle with challenging problems, they encounter opportunities to grow in virtues like patience and perseverance and to discover God’s order and beauty in mathematical truth—preparation that serves them not only in other subjects, but for life.

A Thoughtful Math Sequence

Math at Wilson Hill follows a thoughtful sequence that reinforces key concepts and skills, giving students a smooth transition between topics and grades. Our master teachers curate our curriculum choices, bringing fluidity and alignment with classical philosophy. 

Lower levels follow the Singapore method, while upper levels primarily use Dolciani, which offers a similar level of rigor and a strong emphasis on problem-solving, number sense, and critical thinking. Each course is tools-driven, seamlessly transitioning students into the next. Although our primary commitment is to the core principles and proven pedagogy of the Singapore method rather than to any single curriculum, we have found think! Mathematics to be the strongest, most consistent, and best-aligned iteration currently available to us.

The same thread woven throughout Wilson Hill math courses—and all subjects—is our classical approach implemented by master teachers who love God, their students, and their subjects.

Grammar School (Grades 3-6)

Using Singapore math, we move students through stages beginning with the tangible and hands-on (concrete), then the visual (pictorial), and finally the abstract. We progress through the material in a way that grounds students in the fundamentals while equipping them for the conceptual math in our advanced math classes, such as AP Calculus. Our youngest mathematicians may be found scouring their homes for items to bring to class—such as objects for comparing lengths or filling a tens frame.

Grammar School courses include Math 3, Math 4, Math 5, and Math 6.

School of Logic (Grades 7 & 8)

In the School of Logic, students continue with the Singapore method in Math 7 as they build a robust foundation in basic math concepts. Since Singapore’s focus in older grades does not follow the typical math sequence in the United States, we selected the Dolciani curriculum for Pre-Algebra and Algebra 1. We chose Dolciani for the same reason we selected Singapore math: it emphasizes critical thinking and mastery. 

School of Logic courses include Math 7, Pre-Algebra, and Algebra 1.

School of Rhetoric (Grades 9–12)

In the School of Rhetoric, math is divided into two tracks: basic and advanced. The basic track includes Algebra 1, Geometry, Algebra 2, and AP Statistics. A primary goal in Algebra I at Wilson Hill is to facilitate the vital transfer of concrete mathematical knowledge to abstract algebraic generalizations. Students cannot help but be inspired by the beauty of algebra as they discover how it provides a foundational language to describe so many aspects of the created world. Learning algebra helps students develop critical thinking skills through problem-solving, logic, patterns, and reasoning. This sets them on a fruitful path for geometry, Algebra 2, and statistics. 

The advanced track includes Geometry, Algebra 2, Pre-Calculus or AP Statistics, and AP Calculus or AP Statistics.

Students Equipped for Math and Life

Mathematics is the science of patterns and the art of engaging in those patterns. With a sea of available math curricula, we take seriously selecting a method that embraces both the science and art of math.

At Wilson Hill, no matter what math methodology your children have experienced before, they will learn to understand math visually and to think about it analytically. With a thoughtful sequence and master teachers who genuinely care about making math accessible and joyful, your children will build confidence and mastery. 

A sturdy math foundation not only makes future mathematical concepts easier to approach but it also prepares students for all subjects. The student who can calmly and confidently reason through a complicated calculus problem can rely on that same toolkit of transferable skills when preparing a rhetorical argument in an essay or conducting a scientific experiment. 

The words of mathematician Francis Su reflect our vision and hope for all Wilson Hill students:

All of us have the capacity to embrace the wonder, power, and responsibility of mathematics by nourishing our affection for it. The need to do so in today’s world cannot be overstated, and the stakes are high. A society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without an opportunity to play with beautiful ideas and see the world in a new light. To grasp mathematical beauty is a unique and sublime experience that everyone should demand.

All subjects at Wilson Hill encourage students in their pursuit of beauty, goodness, and truth grounded in Scripture. Math is no different. As students engage their minds to reason through problems, they are reminded that ultimate truth exists and is discoverable. As they uncover the complexity of proofs, they see the complexity of creation and the beauty of its Creator. 

The ultimate result is students who are well prepared for future academic endeavors, but even more importantly, students who are critical thinkers, curious and joyful learners, and eager participants in building the Kingdom of Christ. 

Frequently Asked Questions about Singapore Math 

Despite its global recognition, Singapore math still has its skeptics. In the classical world, it has become a popular choice for its alignment with classical philosophy, but can be challenging to implement alone as a homeschool parent. These are the most common questions our teachers field before families experience Singapore math for themselves:

Is Singapore math part of Common Core Standards? 

Common Core is the set of standards public schools in the United States are required to meet. Many teaching methods and curricula align with these standards, including Singapore math. Singapore’s teaching method is not required, but many schools—public, private, and charter—choose to adopt it for its proven benefits and success. 

Does this method adequately emphasize number fact drills? 

Since Singapore math does not prioritize rote memorization, parents sometimes worry that their children will not develop quick recall of number facts. While number fact drills may not resemble the traditional timed tests many parents remember, students are still expected to recall addition and multiplication facts fluently and accurately.

How do I teach my child a method I wasn’t taught myself? 

One of the most challenging aspects for homeschool parents is the initial learning curve when using a Singapore-inspired curriculum. “Traditional” math is often more formulaic and procedural, making it easier to teach but frequently less engaging and joyful for students of all learning styles. At Wilson Hill, parents can rely on the partnership with our master teachers to implement unfamiliar methods effectively. We also encourage all parents to embrace both the challenge and the joy of a new approach—so their children can gain confidence in math without tears.

If my children have learned a different method, will switching curricula negatively affect their learning? 

The idea that students must stick with one curriculum throughout their education is a persistent myth. While consistency has value, thoughtful sequencing that reinforces key skills is far more important than consistency for its own sake.

The younger a student begins developing math fluency, the more rewarding (and easier) future subjects will be. However, students arrive at Wilson Hill from a variety of math backgrounds. Even if a student starts in 8th grade, for example, parents are not expected to become experts in our particular teaching method. Our master teachers are equipped to help all students become critical thinkers and confident problem solvers. The beauty of mathematics is that it inherently builds on itself: foundational concepts are continually revisited as students advance to more complex topics. Whether a concept is new or a review from a previous curriculum, it equally expands the student’s math toolkit.