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Borrowing/Carrying –> Regrouping

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

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.

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.

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 students’ conceptual understanding beyond this example of long division and into every area of math.

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.

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.

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.

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.

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.

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.

Fluency Without Fear

Turns out memorization, timed tests and flash cards are not the most effective ways to learn math facts! This article from Jo Boaler addresses developing students' fluency with math facts (such as times tables), including confidence and how some common approaches to math facts can be related to anxiety and loss of perseverance.

For Teachers: Please Don’t Teach Exponent Rules

A teacher writes about how he approaches operations with exponents so that the students make meaning and discover the rules for operations with exponents for themselves.

Concept, Method, Procedure (The Secret Formula for Math Success)

Max Ray, of The Math Forum, explores developing procedures from conceptual understanding. His 5-minute video uses dividing by fractions as the topic for instruction.

Math Ceiling

This post from Math with Bad Drawings blog explores the following questions related to the Key Shift of rigor: Do we have a "math ceiling" where some math is beyond our ability to comprehend? If a student can perform the math task I am targeting without conceptual understanding (i.e., they know the procedure, but not why it works), do they really need more?

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PD Catalog

Get an overview of all MN Adult Education professional development (PD) activities in one convenient, searchable place!

PD Catalog

Presenter Information

Get information about stipends, reimbursements, the MN Adult Ed policy on use of images in presentations, and other instructions for presenters.

 

MN Adult Ed YouTube Channel

The MN Adult Education YouTube Channel is a free online PD resource that you can use to explore teaching techniques and classroom ideas in action! Find out more in this MN ABE Connect newsletter article.

 

ATLAS Announcements & Future PD

Check out the latest list of ATLAS professional development announcements and opportunities! This is the document that is shared at all ATLAS events.

 

Virtual Meeting Resources

Find resources for conducting online meetings/events/presentations! You are welcome to use and adapt these materials to fit your own needs and context.

 

Upcoming ABE Events

October 16, 2026 12:00 am–11:59 pm
Literacy Minnesota
Online

Applications DUE THIS DAY for 2026/27 Best Practices in Digital Learning Cohort

Online

Registration Deadline: FRI. 10/16/26 Venue: Online (see details below) The purpose of this professional development (PD) initiative is to build the capacity of MN ABE consortia to offer quality digital education programming and distance learning opportunities for their learners based on established best practices. Participants who are accepted,… Learn More

Online
October 19, 2026 1:00 pm–3:00 pm
Literacy Minnesota
Online

Developing and Practicing Reading Fluency

Online

Registration Deadline: MON. 10/19/26 Venue: Online (see details below) Come and review the important role of fluency in reading instruction. We will discuss the three key components of reading fluency and look at a variety of activities tutors and teachers can try. We will talk about the mechanics… Learn More

Online
October 19, 2026 2:00 pm–3:00 pm
ATLAS

Ask ATLAS in the ATLAS Lounge – One Room Schoolhouse Office Hour with Carly!

Join the ATLAS Lounge for Ask ATLAS Office Hours. Passcode to join the meeting: lounge2026 Welcome to a new endeavor for ATLAS – open office hours! Join the Zoom on Monday, October 19, between 2:00 – 3:00… Learn More