I love to use fractions as my test content to see if a technique really works. Fractions are, I think, one of the trickiest topics for students to understand and for teachers to make interesting.

# Differentiation TechniqueThe Spectrum Of Abstraction

## Read The OverviewMoving Between the Specific and Abstract

When differentiating, it's helpful to note where on the "spectrum of abstraction" your content lies. Then, see what happens when you move that content to be more abstract or more specific. It often unlocks lots of new opportunities for thinking.

## Specific Examples of “The Spectrum Of Abstraction”

## Combining Depth and Complexity Prompts into a Generalization

Let’s start with a puzzlement, ask kids to generate an abstract statement, and then find evidence that their statement works across several different areas.

## Concept Formation: A Model for Inductive Thinking

Here’s are the steps for running an inductive lesson based on Hilda Taba’s model of Concept Formation. Plus a sample lesson about the Nile River.

## The Surprises Within a Triangle’s Angles

Discovering what is interesting and unexpected about a triangle’s angles. What twists have I unintentionally spoiled for my students over the years?

## Encourage Curiosity With Calculators

It’s easy to fall in love with chasing the newest technology to use in the classroom. But sometimes, the perfect tool is a plain old calculator. We’ll be using this tool to develop curiosity about math.

## Creating A Class Motto

Using Hilda Taba’s model of inductive thinking, use your students’ prior knowledge to develop a statement about expected class behavior.

## Inductive Thinking in Spelling and Vocabulary

Let’s look at a couple ways to bring inductive thinking into word studies. We’ll examine simple plural rules all the way up to etymology of foreign words in English.

## Let’s Play Some Inductive Math Games!

Sure, these may be games at heart, but you can take them to the next level by requiring students to develop strategies, write them out, and then use them to challenge you to a match! Unlike a game of chess, each of these activities are incredibly simple, so students can quickly formulate and test strategies.

## Differentiate Math with Inductive Learning

With inductive learning, we still define terms, explain rules, and practice, but the order is different. We’re harnessing gifted students’ natural abilities to enhance our lessons.

## Climbing Bloom’s Taxonomy In Science

Science should be more than memorizing facts. Let’s spice it up and push our students from the doldrums of remembering to the soaring heights of evaluation. While it’s true that this will take longer than just following a textbook, we’re not just teaching facts, we’re equipping students with the ability to make well-informed judgements.