TA Chapters 6 & 7

TA Chapters 6 & 7

Chapter 6: Use and Connect Mathematical Representations
Chapter 7: Facilitate Meaningful Mathematical Discourse

Summary: Chapter 6 discusses the importance of using representations such as manipulatives and drawings to model mathematical concepts. These visual tools can help students better understand what they are doing before they start solving problems more abstractly. Chapter 7 discusses the importance of the methods of teaching mathematics. One of the major discourses discussed was discussions whether these are whole class, small group, or partner discussions. Discussing concepts can help students put their ideas into words leading to a better understanding of mathematics. 

Implications for Future Teaching: One of the major things I got from these two chapters is the importance of variety in instruction. While models can really help visual learners, discussions can really help auditory learners. I want to make sure I am catering to the needs of all my students by teaching in all different ways. 


2 Questions: 

1. How do you know that students are ready to progress to more abstract methods from visual representations? 

2. What size group for discussion is best with younger grades? Are small group discussions structured enough for young students?

Comments

  1. Dr. NugentNovember 1, 2019 at 7:33 AM

    If your students are able to complete the "traditional algorithm" (more abstract) with proficiency, then they no longer need the visual representation. The developmental stage of the individual can impact their ability to work in partner/small group. However, they should still be encouraged to work with a partner/small group, to help them develop their own capacity to communicate and learn. Thanks, Darby!

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