Manipulative presentation


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Manipulative presentation

  1. 1. Manipulatives at the Middle Grades Level<br />(Chapter 3)<br />Katherine Anthony & Kate Collishaw<br />
  2. 2. What is a manipulative?<br />“A manipulative is a tool to assist students to advance from concrete knowledge toward more expert understanding of abstract mathematics ideas through visual and kinesthetic senses.”<br /> - pg 71<br />in other words…<br />Objects that can be handled or touched by students that represent concrete mathematical ideas leading to understanding of significant abstract ideas.<br />
  3. 3. What does NCTM say?<br />“Principles and Standards for School Mathematics names technology as one of the six main principles for mathematics; it influences the mathematics that is taught and enhances students’ learning” – NCTM 2000<br />
  4. 4. Important Information About Manipulatives<br />Piaget’s research says that symbolic representations have meanings for students only if they are closely tied to concrete representations.<br />The objects/representations cannot teach – teacher-conducted instruction must be high quality.<br />Students will see representations differently than you (the teacher).<br />Manipulatives are a means, NOT an end, to developing students’ thinking with your guidance.<br />
  5. 5. Suggestions for Effective/Appropriate Use<br />Select manipulatives that the students ALL will use<br />Select manipulatives that allow multiple applications<br />Impress proper treatment<br />Give general rules<br />Allow exploration time<br />Use one specific manipulative when introducing a topic<br />
  6. 6. Suggestions cont.<br />Encourage students to use manipulatives when they feel it would assist learning<br />Remember students advance at different rates<br />Be certain all students have an opportunity to manipulate the objects<br />Consider appropriateness of manipulative to students’ age<br />Organize in transparent bags/boxes/containers<br />
  7. 7. Manipulatives!<br />Fraction Stacks<br />Cuisenaire Rods<br />Colored Chips<br />Balances<br />Patty Paper<br />Geoboards<br />Calculators<br />
  8. 8. Virtual Manipulatives<br />Hands on Math<br />Algebra Toolkit<br />Geometry Toolkit<br />Geometer Sketchpad<br />
  9. 9. Classroom Changes with Technology<br />Students learn because they can see multiple examples quickly to see patterns<br />Engagement<br />No more slow hand calculations (good for younger students)<br />Students process information differently because they are “digital natives”.<br />
  10. 10. “I hear, and I forget. I see, and I remember. I do, and I understand.” – Chinese proverb<br />