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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...

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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...

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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...

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The Art of Negotiable Contracting

 It may have the sound of being more than it really is, but negotiable contracting is indeed an art. While not immediately evident to the casual observer, it is practiced with a deftness and precision comparable to an artist applying a brushstroke to a canvas. We already know that students perform at higher levels if they have ownership of their work. But the finishing touch to this grand design is to create an atmosphere of achievement and accomplishment where...

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The GOPER Model of Problem Solving in the Coaching Classroom or School

 Raising a child is never as easy as it sounds. Hillary Rodham Clinton once wrote a small book on how It Takes a Village to set a youngster on the difficult path of growing up and acquiring an education and assuming the responsibilities of adulthood. Such a task is a demanding chore that needs the cooperation and efforts of many individuals, all working together in a cooperative atmosphere.  No one works in isolation.The school too, like It Takes a Village, should always...

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Flashcard Games for Reinforcing and Memorizing Content in the Classroom

 One of the most effective teaching strategy groups that is simple to implement involves inexpensive index cards. Whether students keep guided notes while they read text or keep a dictionary of new words in an index box, the following strategies offer ways to reinforce the content in an active manner.The basic principle of the index card strategy group is for students to write something down on an index card from their guided notes. Or, they can create a dictionary of new words...

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