Professional development for mathematics instruction

Go deeper. Perceive
what students understand. Teach what they need.

PerceptualLearning™ helps teachers uncover what students truly understand, then shape instruction around what they need next.

286th → 1st  in  Kentucky

One Kentucky School rose from 286th of 713 schools in 2012 to 1st of 700 in 2021.

BEYOND THE RIGHT ANSWER

Students can know the steps and still not understand the mathematics.

A student can follow a procedure and still misunderstand the idea behind it. A missing connection or misconception can make the mathematics seem harder than it is. Before deciding what to teach next, we first need to understand what the student sees.

What does the learner perceive?

Where did the misunderstanding begin?

What connection is missing?

What experience will make this concept meaningful?

The starting point isn't performance. It's perception.

A DIFFERENT VIEW OF INSTRUCTION

The lesson starts with the learner.

The shift is simple to describe, but powerful in practice: teachers learn to use student thinking as instructional information.

01

OBSERVE | See more than the answer.

Notice what students recognize, overlook, connect, and misunderstand.

02

DISCOVER | Find the thinking underneath it.

Use student responses to uncover the perception or misconception producing the result.

03

DESIGN | Let understanding shape instruction.

Make instructional decisions based on what students actually need next.

04

DEVELOP | Build understanding that can travel.

Help students connect ideas, reason intentionally, and use what they know when the situation changes.

The lesson becomes responsive to the learner without lowering the mathematics.

The Difference

The same lesson, built from the opposite direction

Traditional instruction often begins with the mathematics that needs to be taught. PerceptualLearning™ begins with the learner. The content may be the same, but understanding what students currently perceive changes the decisions a teacher makes along the way.

traditional / procedural

The lesson determines instruction

Content first

Mathematics as computation

Memorization

Mistakes are corrected

Same lesson for the class

perceptual learning

Student need determines the lesson

Understanding first

Mathematics as a language

Meaning

Mistakes are analyzed and used instructionally

Make the lesson fit the student

The framework

"Are you understanding the poem, or just reading the poetry?"

A student can read every word of a poem correctly and still miss its meaning. Mathematics is no different. Students can remember vocabulary, follow procedures, and even arrive at correct answers without seeing the relationships that make the mathematics make sense. PerceptualLearning™ helps teachers look beyond what students can reproduce and investigate what they actually understand.

Perceptual Results

What changed at Sublimity Elementary

286th of 713 to 1st of 700

Proficiency at Sublimity rose from about 59 percent to 99.3 percent over that period, in a school where a majority of students qualify for free or reduced lunch.

From resistance to college opportunity

A 30 on the ACT, and a 32 superscore

A student who nearly left the program over refusing to show his work stayed, worked through an approach built around how he learned, and scored a 30 in math on the ACT with a 32 superscore.

Slow learning was not poor learning

From severe gaps to a computer science degree

A student with serious foundational difficulties received long term individualized instruction, later scored a 25 on the ACT, and graduated from the University of Kentucky in computer science.

Thinking that transferred

Math instruction that raised reading scores to 35

A student who came for ACT math preparation saw his largest gain in reading, moving from the mid-twenties to a 35, and credited the way the mathematics was taught.

The results were not the method. They were evidence that something deeper was happening in student learning.

Real Time Impact on Real LIves

Recognized by Education Professionals.

For schools and districts

Bring the framework
to the teachers

PerceptualLearning™ works with educators at different levels, from schoolwide partnerships to professional development and individual instruction.

School partnerships

Build a shared way of seeing student learning across a school or district.

Educator development

Help mathematics educators recognize student thinking and use it to shape instruction.

Individual instruction

Apply the framework directly to the needs of individual learners and educators.

 

Get started

Let's talk about
where your students are

Tell us what you are seeing in your classrooms. If Perceptual Learning is the right answer, we will show you what that looks like in your building. If it is not, we will say so.