When you walk into a classroom or read a curriculum brochure, you are often met with appealing but vague terms like "critical thinking," "conceptual understanding," and "curiosity." While these sound like wonderful goals, research from experts at The Science of Math and advocates for the Science of Reading suggests that these terms are often red flags. Because they lack standard definitions and are nearly impossible to measure, they can hide a lack of actual instruction.
To ensure your child is receiving an evidence-based education, you should look for two specific frameworks: Structured Literacy and Structured Numeracy.
The Foundation: Phonemic Awareness and Number Sense
In the K-2nd grade years, children are building the "internal wiring" for everything that follows.
In ELA, this starts with Phonemic Awareness—the ability to identify and manipulate the individual sounds in spoken words. In Math, the equivalent foundation is Number Sense. I use "number sense" to describe basic numeracy development: understanding quantities, how they relate to one another, and how they can be broken apart or combined.
For neurotypical students, these pathways eventually become "paved roads." For students with dyscalculia or dyslexia, those roads often remain "under construction," requiring explicit tools to navigate.
1. Number Sense: Neurotypical vs. Dyscalculic
Number Sense is the mathematical equivalent of a "gut feeling" for quantities. It involves subitizing (recognizing how many objects are in a group without counting), understanding magnitude (which is more?), and seeing the relationships between numbers.
Neurotypical Development
Neurotypical students usually develop an internal "number line." By 1st or 2nd grade, they can mentally "see" that 8 is close to 10 and far from 2. They move quickly from counting on their fingers to "derived facts" (e.g., "I know 5 + 5 = 10, so 5 + 6 must be 11").
Classroom Example: A teacher shows a flashcard with five dots arranged like a die. The neurotypical student shouts "Five!" instantly. When asked to add 2, they may count up mentally: "six, seven."
Dyscalculic Development
For a student with dyscalculia, numbers are often "slippery." They may lack the core ability to subitize. Every time they see a group of four dots, they have to count them one by one (1, 2, 3, 4). The "mental number line" is often disorganized, making it hard to estimate or understand that 9 is larger than 7 without physical proof.
Classroom Example: The same five-dot flashcard is shown. The dyscalculic student must point and count each dot. When asked to add 2, they may start over from 1 (1, 2, 3, 4, 5... 6, 7) because they cannot "hold" the first quantity in their head.
The Need: They require explicit instruction using concrete manipulatives (like Cuisenaire rods or Ten Frames) to "see" the math that others do instinctively.
2. Phonemic Awareness: Neurotypical vs. Dyslexic
Phonemic Awareness is the ability to hear, identify, and manipulate the individual sounds (phonemes) in spoken words. This is entirely auditory and happens before a child ever picks up a pencil.
Neurotypical Development
Neurotypical students generally "tune in" to the sounds of language naturally. They enjoy rhyming games and quickly realize that if you take the /m/ sound off "mat" and add /s/, you get "sat." Their brains are wired to map these sounds to letters relatively easily.
Classroom Example: The teacher says, "Say 'cup' without the /k/." The student almost instantly says, "up." They can "hear" the pieces of the word clearly.
Dyslexic Development
For a dyslexic student, spoken language can be a "wall of sound." They often struggle to pull individual sounds out of a word. Their brain has difficulty with "phonological processing," meaning they can't easily break a word into its component parts. This makes learning to read (mapping sounds to letters) incredibly difficult because they aren't sure what sounds they are looking for.
Classroom Example: The teacher says, "Say 'cup' without the /k/." The dyslexic student might struggle, saying "p..." or "c-up," or may not be able to answer at all. They aren't "hearing" the three distinct sounds (/k/ /u/ /p/) as separate units.
The Need: They require Structured Literacy that uses "Elkonin Boxes" or hand gestures to physically represent each sound, making the invisible sounds visible.
Why Explicit Instruction Matters for All
While neurotypical students might "stumble" into these realizations through general exposure, the student with dyslexia or dyscalculia will not.
These are not "natural" skills that children simply pick up by being around books or blocks. They are foundational skills that students with Dyslexia and Dyscalculia absolutely require to succeed. However, the reality is that all students benefit when these skills are taught through explicit and direct instructio
By using Explicit and Direct Instruction, teachers provide the "scaffolding" that dyslexic and dyscalculic students need to survive. However, this same clarity helps neurotypical students move faster and with more confidence. When we teach "the why" and "the how" of the smallest building blocks, no one is left guessing.
Why "Discovery" is a Red Flag
Many modern curriculums prioritize "discovery-based learning," where students are encouraged to "find their own way" to an answer. While this sounds empowering, it is often a disaster for foundational learning. If a program claims to promote "number sense" or "critical thinking" but doesn't have a clear, step-by-step plan to teach it, your child is being asked to build a house without a blueprint.
For a child with a learning difference, "discovery" can feel like being lost in the woods. Structured instruction provides the map.
What to Look For: The Structured Approach
When vetting a curriculum, look for these three pillars in both ELA and Math:
Explicit Instruction: The teacher should directly explain concepts. Instead of "What do you notice about these numbers?", the instruction should be "Today, I am going to show you how we compose the number ten."
Systematic Progression: Skills should build on each other in a logical order. You wouldn't teach a child to read a paragraph before they can blend sounds; similarly, you shouldn't ask a child to solve complex word problems before they have mastered basic fact fluency.
Fact Automaticity: In both reading and math, the goal is "automaticity." A child needs to recognize the word "the" and the sum of "5+5" instantly. This frees up their "brain power" to tackle the actual critical thinking later on.
Questions for Parents to Ask
Don't be afraid to dig past the buzzwords during school meetings. Ask the following:
Does this curriculum use a scope and sequence? Can you show me the order in which specific phonics sounds and math facts are taught?
How is "Number Sense" explicitly taught? Is there a daily practice for building fluency with quantities and operations?
How do you support students who struggle with foundational fluencies? If a child is struggling, do they get more "discovery" time, or do they get more direct, explicit practice?
The Bottom Line
True critical thinking and curiosity are the rewards of a solid educational foundation, not the method of instruction. By demanding Structured Literacy and Structured Numeracy, you are ensuring your child has the tools they need to actually succeed.
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