# Archive

### Borrowing/Carrying –> Regrouping

Participants in this workout learn to teach strategies that support conceptual understanding of place value instead of the algorithm. Read More

### Rational Number Project: Fraction Operations and Initial Decimal Ideas

Free lessons from the Rational Number Project about fraction concepts: adding, subtracting, multiplying, and dividing. Understanding of decimals is introduced as well. Teacher's guide, worksheets and colored fraction templates included. These resources help develop conceptual understanding. Read More

### Rational Number Project: Initial Fraction Ideas

Free lessons about fractions: concept, equivalencies, ordering, adding and subtracting. Teacher's guide, worksheets and colored fraction templates included. These resources help develop conceptual understanding. Read More

### Building Conceptual Understanding

Participants in this workout consider the conceptual understanding behind the traditional algorithm for long division and then recognize the importance of building studentsâ€™ conceptual understanding beyond this example of long division and into every area of math. Read More

### Why Before How

Teachers can use this book to build the concept of place value, encourage students to consider multiple methods for solving problems, and build real understanding of the meaning behind addition, subtraction, multiplication, and division paving the way to beginning algebra. Read More

### The Best Way to Learn Math is to Learn to Fail Productively

Manu Kapur's research finds that students are more successful when teachers allow them to have a period of (teacher-planned) productive struggle with material before the teacher provides direct instruction on the math strategies. Read More

### Progression of Addition and Subtraction

What is a progression that builds to a conceptual understanding of addition and subtraction? In this 7-minute video, Gfletchy demonstrates strategies that teachers can use to develop students' conceptual understanding as a building block to fluency. Read More

### Progression of Division

What is a progression that builds to a conceptual understanding of division? In this 8-minute video, Gfletchy demonstrates strategies that teachers can use to develop students' conceptual understanding as a building block to fluency. Read More

### Progression of Early Number and Counting

What is an instructional progression that leads to conceptual understanding of counting and numbers? This 8-minute video lays out a progression for children learning these concepts, but ABE teachers of students with beginning numeracy will find useful ideas here. Read More

### Progression of Multiplication

What is a progression that builds to a conceptual understanding of multiplication? In this 6-minute video, Gfletchy demonstrates strategies that teachers can use to develop students' conceptual understanding as a building block to fluency. Read More