JOURNAL OF APPLIED DEVELOPMENTAL PSYCHOLOGY, 18,37-54 (1 997) ISSN 01 93-3973 All rights of reproduction in any form resewed. O 1997 Ablex Publishing Corporation **Manipulatives** as Symbols: A New Perspective on the Use of Concrete Objects to Teach Mathematics D AVID H. U TTAL KATHYRN V. S C UDDER ...

Professional Learning Guides: **Manipulatives** 1 **Manipulatives** **Manipulatives** are physical, 3-dimensional objects that students use to increase their understanding of, and connections between, mathematical concepts.

**Manipulatives** Use and Understanding in Mathematics "I hear and I forget. I see and I remember. I do and I understand." - Confucius (551-479 BC) Overview The use of **manipulatives** in teaching mathematics has become as almost commonplace as the use of textbooks.

What are **manipulatives**? In math classrooms today, teachers are using **manipulatives** to help students learn mathematics. **Manipulative** materials are any concrete objects that allow students to explore an idea in an active, hands-on approach.

5. Do **Manipulatives** Help Children Understand Math? In this thought-provoking Theory Into Practice article, Nicole McNeil and Linda Jarvin (professors at Notre Dame and Tufts, respectively) question the effectiveness of classroom math **manipulatives**.

CHAPTER 1: INTRODUCTION Sixth grade math students tremble in their seats when fraction units are begun. Students often struggle with the concept of fractions as well as any application of fractions.

EFFECTIVE USES OF **MANIPULATIVES** Research in England, Japan, China, and the United States supports the idea that mathematics instruction and student mathematics understanding will be more effective if **manipulative** materials are used ( Improving Mathematics Teaching by Using **Manipulatives**; James W ...

University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Action Research Projects Math in the Middle Institute Partnership 7-1-2009 The Role of **Manipulatives** in the Eighth Grade Mathematics Classroom Michaela Ann Goracke Harvard, Nebraska This Article is brought to you ...

**Manipulatives** are appropriate to use whenever there is a **manipulative** that represents the mathematical concept well. It is important for the teacher to w ork with the **manipulatives** before instruction to ensure that the **manipulative** is appropriate for the concepts being taught.

JOURNAL OF APPLIED DEVELOPMENTAL PSYCHOLOGY, 18,37-54 (1997) ISSN 0193-3973 All rights of reproduction in any form reserved. 0 1997 Ablex Publishing Corporation **Manipulatives** as Symbols: A New Perspective on the Use of Concrete Objects to Teach Mathematics DAVID H. UTTAL KATHYRN V. SCUDDER ...