concept


  • Speeding Up and Slowing Down on a Graph looking at Velocity and Acceleration

    Speeding Up and Slowing Down on a Graph looking at Velocity and Acceleration

    We all understand speed intuitively. Velocity and acceleration are more mathy and harder for many students to comprehend, especially on a graph. Even harder is the idea of when an object is slowing down or speeding up. In this post I attempt to unpack both. Velocity is speed with a direction. Negative in this case…


  • Velocity, Acceleration, Speeding Up and Slowing Down

    Velocity, Acceleration, Speeding Up and Slowing Down

    DISCLAIMER: This is a very mathy, math geek post but it also has value in demonstrating instructional strategies and multiple representations. We all understand speed intuitively. Velocity is speed with a direction. Negative in this case does not indicate a lower value but simply which way an object is traveling. Both cars below are traveling…


  • Place Value Representation

    Place Value Representation

    Here is an easy way to create and implement strategy to unpack place value for students (created by one of my former graduate students). I suggest using this after manipulatives and visual representations (drawing on paper) in a CRA sequence. It is hands on but it includes the symbolic representation (numbers). Hence is another step…


  • Concepts vs Skills – Need Both

    Concepts vs Skills – Need Both

    In general math is taught by focusing on the steps. Conduct a Google search for solving equations and you will see the steps presented (below). You need a video to help your student understand solving and you typically get a presenter standing at the board talking through the examples. (I’ve posted on my approach to…


  • Busy Engagement vs Intellectual Engagement

    Busy Engagement vs Intellectual Engagement

    There is a difference between being intellectually engaged and being busy.


  • Addressing the Concept of Addition Part 2

    In a previous post I presented an approach to teach and assess the concept of addition. This document shows all the steps I use including the one shown in the photo above.