Addressing Misconceptions

Having a solid understanding of measurement and geometry concepts will help students make sense of the world. Yet, American students have historically underperformed in these areas of mathematics in national and international studies. Measurement, in particular, is one area where middle-grades students in the United States score well below those in other industrialized nations (Thompson & Preston, 2004; Ginsburg & Leinwand, 2009). Many factors contribute to the low levels of student achievement in these areas.
In this Discussion, you will examine common misconceptions that students may have related to measurement and geometry. You also will explore strategies for supporting student learning of these concepts using estimation and real-world connections.
To prepare for this Discussion:
• Review the Common Core State Standards related to geometry and measurement for grades 5–8 located in the Learning Resources. Reflect on common misconceptions that students may have as they engage in the measurement and geometry concepts outlined in the standards. What specific areas of measurement and geometry have proven to be challenging to your students? http://www.corestandards.org/Math
• Reflect on the strategies highlighted in the article “Mathematical Explorations: Integrating Measurement and Computational Estimation in Geometry,” and consider how they may help provide meaningful contexts for students to use estimation and approximation to deepen their conceptual understanding of measurement and geometry.
• Think about the ideas presented in the course text readings and media video presentation for this week regarding the importance of increasing students’ awareness of meaningful mathematics applications. Consider the opportunities and resources available in your school and community for engaging your students in real-world measurement and geometry explorations to support their learning.
By Day 3 of Week 1:
Post a description of one or two misconceptions that students may encounter in the areas of measurement and geometry. If possible, include specific examples of misconceptions you have observed in your own teaching experience and an explanation of how the misconception occurs. Explain the role that estimation and approximation might play in helping students to make sense of measurement and geometry concepts. Finally, describe at least one example of a real-world exploration that could be used with students to increase their understanding of measurement and geometry concepts.

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