Howard Margolis tackles this topic in the following article. Is Progress Monitoring A Waste of Time? Teach 4 Mastery materials offer built-in progress monitoring for both teacher and student. This keeps everyone in the loop every day, every lesson. Short-cycle monitoring that gives you the feedback you need to make wise decisions!

## Why Are Telephone Numbers XXX-XXX-XXXX and why not XXXXXXXXXX?

Visual and Verbal Working MemoryEver wonder why telephone numbers are 3 numbers then 3 more numbers then 4 numbers? I am not talking about why from a process standpoint. Although it is good to know that the first three numbers are the Area Code, the second three are the City Code, and the last four […]

## Why do we need to learn math?

To Communicate…Mathematics (specifically arithmetic) is possibly the most important form of communication that you will ever learn. Math is a language all by itself. It has a syntax (way in which information must be ordered), specific abstract symbols that have defined meanings, and when used appropriately it can communicate complex ideas and information. Math helps us […]

## Math Training in Costa Rica

Math Professional DevelopmentIn August I traveled to Escazu, Costa Rica to do math professional development training with The Country Day School. Read the write-up from Katie Matthias-Fandre, Deputy Director of the school. About the School: “The Country Day School was founded by a family in 1963. These pioneers introduced relevant schooling in English for children of […]

## Presentation NCTM Nashville, 2015 – Physical and Virtual Manipulatives

The slides from my presentation in Nashville are available below. Teach 4 Mastery Presentation by Dan Sinclair

## Concrete, Representational, and Abstract

At Teach 4 Mastery we believe that students need to understand how to move from concrete to abstract and from abstract to concrete applications. The step in between is sometimes the critical piece that makes the connection for the student! Dr. Pamela Hill recently published this article on the necessity of drawing in education. Drawing […]

## Too Much Tech?

Can students have too much tech in the classroom? I certainly think so. The need for teachers is even more evident when students are given electronic devices. Students, like many adults, would rather use the tech for games or other entertainment purposes than the true purpose it was given, to learn. A recent research study […]

## What is Mastery?

When we consider the word Mastery it has an elusive quality. At what point has someone mastered something? What are the qualifications or criteria for such a title?In mathematics the area of mastery could be broken down into several subsets that are all important to overall mastery. They may occur at different times during the […]

## What is the Study of Math?

Have you ever pondered that question? Think about it… what is Math? Is it formulas, rules, algorithms, computations, concepts, memorization, numbers…? Recently I decided to so some digging and learn what it is that we do when we are studying math. Here is what I have learned. Math is the study of: 1. Numbers – […]

## Number Sense Using Base Ten

Developing number sense is a critical skill that students need to learn. When teaching Place Value manipulatives can be very powerful in developing this skill.Do you see the pattern that is shown using the MasterPieces?First, look at the unit cubes. You will see that from the top that each cube makes the shape of a […]