Teacher Section - Gtec Kids

Fun with Picture Grids: Teaching the Addition of Fractions

An Introduction to Picture GridsWhy is it that mathematics often conjures up images of desperate students trying to solve seemingly impossible problems? The subject of mathematics often compels otherwise well-adjusted adults to grimace with the memory of futile hours spent poring over numbers that seem at once both meaningless and threatening. Fortunately, there is an alternative. Yes, Virginia, there is a Santa Claus. The impossible really is possible, and we can do more than tell our students to clap...

Pic-Jour Math: Pictorial Journal Writing in Mathematics to Understand Pi

Come every fall, teachers of mathematics are confronted with oversized classes filled with students who vary in both their learning style and their way of communicating what they have learned. Teachers are challenged to recognize and exploit those differences or risk bored or confused students who lack any true mathematical understanding and may end up manipulating numerical symbols and equations by rote.Both experience and research in the past twenty years have demonstrated the clear effectiveness of using a multimodal, interactive approach...

The Link Between Art and Mathematics

There would seem to be an implausible relationship between art and mathematics. After all, the two domains seem to depend on vastly different thinking patterns. We do not question the interrelationship between science and mathematics, and the scientific process is clearly contingent on mathematics. How then did Ferguson (1977) manage to put together a historical review linking art and technology? Ferguson’s research indicates that inventors and art are more closely affiliated than either group would have us believe.Ferguson cites many examples...

Fun with Picture Grids: Teaching Multiplication of Fractions & Decimals

Order a set at: http://www.hand2mind.com/catalog/product?deptId=&prodId=020272&q=picture+grids This is the third and fourth parts of the Fun with Picture Grids Series of Addition, Subtraction, Division, Multiplication & Decimals, and Square RootPart III: Teaching Multiplication with the Picture Grids ManipulativesA few weeks later Henry asks the class, “How do you feel about multiplication?” The students groan. Multiplication is even harder than addition and subtraction. They’re not ready to believe that these grids hold the magic that can ease the discomfort of multiplication. After all, students rarely...

Fun with Picture Grids: Teaching the Subtraction of Fractions

Order a set at: http://www.hand2mind.com/catalog/product?deptId=&prodId=020272&q=picture+grids Part II: Teaching Subtraction with the Picture Grids ManipulativesHenry continues using the Picture Grid materials to teach subtraction:1. “The grids can also be used to do subtraction,” Henry says. “Let’s take the problem of one-half minus one-fourth.” He hands out the halves grid, the fourths grid, the clear grid, and a bunch of colored pencils. He tells the students to solve the problem. One group takes the quarters grid and overlays it directly on top of...

Fun with Picture Grids: Teaching Square Root

Order a set at: http://www.hand2mind.com/catalog/product?deptId=&prodId=020272&q=picture+gridsPart VI: Teaching Square Root with the Picture Grid ManipulativesIn a previous article, Henry Goodman took you on a journey that proved it was not only possible to teach students mathematics, but possible to help them understand how mathematics works. Through the use of both rods and grids, Henry was able to help students visualize the mathematics problems that had previously remained a mystery.The good news is that Henry Goodman is back. The other news which...

Fun with Picture Grids: Teaching the Division of Fractions

Order a set at: http://www.hand2mind.com/catalog/product?deptId=&prodId=020272&q=picture+gridsPart V: Teaching Division with the Picture Grid ManipulativesTo understand division is simply to understand the wording. Division means “sets.” If we look at whole numbers and we ask, “What is 10 divided by 5?” We are simply asking how many sets of 5 can be found in 10? We know that the answer is 2. If we place this in a reality-based scenario, we have 10 pieces of candy and want to divide it among 5...

Creating Rubrics Through Negotiable Contracting and Assessment

What would happen if students were invited to help decide how their work should be evaluated? Would they exploit the opportunity, designing standards so ridiculously low as to guarantee a glut of effortless good grades?Surprisingly, the answer is no. Experience in Mrs. Martha Polin's class at Robert Wagner Middle School in Manhattan shows that students who are given a role in the assessment process of a mural from a historical novel lesson can and do rise to the occasion....

Using Multi-Level, Young Adult Literature in the Middle School American Studies

Talk to middle school teachers about the challenges of teaching today, and you are likely to be barraged with a long list of factors that make their jobs difficult. Class size, lack of materials, poor attendance– the list of problems facing today’s teachers sometimes seems endless. We often hear middle school teachers from all subject areas complain that, “It is so difficult to motivate students today.” Another complaint, often made by teachers is, “My students read on so many different...

Bridging the Standards Across the Curriculum with Portfolios

From the Middle School JournalThose of us who are involved in education, in whatever capacity, can sense the stirrings. Parents are voicing concerns about the adequacy of their children’s education. The business community and American industries question whether the quality of education will prepare youngsters for the realities of the workplace. Corporations question whether schools are preparing America’s youth to cope with the demands of an increasingly technological environment. It is now imperative that the next several generations of...

Published Works for Teachers

Fun with Picture Grids: Teaching the Addition of Fractions

Pic-Jour Math: Pictorial Journal Writing in Mathematics to Understand Pi

The Link Between Art and Mathematics

Fun with Picture Grids: Teaching Multiplication of Fractions & Decimals

Fun with Picture Grids: Teaching the Subtraction of Fractions

Fun with Picture Grids: Teaching Square Root

Fun with Picture Grids: Teaching the Division of Fractions

Creating Rubrics Through Negotiable Contracting and Assessment

Using Multi-Level, Young Adult Literature in the Middle School American Studies

Bridging the Standards Across the Curriculum with Portfolios

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